Calculator hacks (practice)

Last updated about 3 years ago

55 questions

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Library

Calculator hacks (practice)

Last updated about 3 years ago

55 questions

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An equation is shown below.
3x - 10x + 5 = 5x + 17
What is the value of x that makes the equation true?

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Write the equation in slope-intercept form of the line that passes through the points (-4,2) and (12,6)? Use decimals when needed.

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What is the positive solution to this equation?
4x2 + 12x = 135
Record your answer. Be sure to use the correct place value.

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Given p(x) = -4(x - 15)2 +2, what is the value of p(7)?
Record your answer.

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Given f(x) = 1/3(4 - x)2 , what is the value of f(16)? Record your answer.

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The value of y is directly proportional to the value of x. When x = 3.5, the value of y is 14. What is the value of y when x = 28 ? Record your answer.

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What is the solution to 4(y - 3) + 19 = 8(2y + 3) + 7 ?

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What is the solution to this equation?
-4(2m - 7) = 3(52 - 4m)

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What is the slope of the line that passes through the points (5, -11) and (-9, 17)?

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The values in the table represent a linear relationship between x and y.

What is the rate of change of y with respect to x?

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The graph of a linear function is shown on the grid.

What is the rate of change of y with respect to x for this function?
Record your answer. Write as a decimal as needed.

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The graph of linear function g passes through the points(-7,-4) and (7, 6), as shown.

What are the slope and y-intercept of the graph of g?

The slope is __________, and the y-intercept is __________.

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Graph -5y = -6x + 15.

Instructions

Click a Graph tab (Graph 1, Graph 2, and so on) for each graph you need to plot.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
After creating your graph, you can check the dashed line box.

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The graph of linear function h is shown on the grid.

Given f(x) = x and h(x) = af(x), what is the value of a? Use one decimal value as needed.

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Jeffery is a spelunker. He explores caves. Jeffery has been collecting data on the growth of stalactites over a period of years, as shown in the table.

Stalactite Growth

Use technology to determine an exponential function to model the data and predict the length of the stalactite after 10 years.
Record your answer. Use 2 decimal places.

An equation is shown below.
3x - 10x + 5 = 5x + 17
What is the value of x that makes the equation true?

Which function is equivalent to g(x) = x2 + 15x - 54 ?

g(x) = (x + 18)(x - 3)

g(x) = (x - 9)(x + 6)

g(x) = (x - 18)(x + 3)

g(x) = (x + 9)(x - 6)

Write the equation in slope-intercept form of the line that passes through the points (-4,2) and (12,6)? Use decimals when needed.

What is the positive solution to this equation?
4x2 + 12x = 135
Record your answer. Be sure to use the correct place value.

The table represents some points on the graph of an exponential function.

Which function represents the same relationship?

The table shows a linear relationship between x and y.

What is the rate of change of y with respect to x?

Which graph best represents y = 10(0.85)x ?

Which expression is equivalent to
(10 + 7r - r2) + (-6r2 - 18 + 5r) ?

-7r2 + 12r - 8

-7r2 + 2r + 8

7r2 + 12r + 8

7r2 + 2r - 8

Which expression is equivalent to

Which expression is equivalent to
35m2 - 63 ?

7m(5m - 9)

-7m(5m + 9)

-7(5m2  + 9)

7(5m2 - 9)

Which expression is a factored form of 2x2 - 25x + 63 ?

(x - 9)(2x - 7)

(x - 7)(2x - 9)

(x + 7)(2x + 9)

(x + 9)(2x + 7)

Which expression is equivalent to 16w2 + 24w + 9 ?

(8w - 3)2

(4w + 3)2

(4w - 3)2

(8w + 3)2

Which expression is a factor of 21x2 + 13x - 20?

3x + 5

7x + 4

3x - 4

7x - 5

Which expression is equivalent to 9n2 - 25 ?

9(n - 4)2

9(n + 4)(n - 4)

(3n + 5)(3n - 5)

(3n - 5)2

Which expression is equivalent to

92

Which expression is equivalent to

The area of a rectangle is 54x9y8 square yards. If the length of the rectangle is 6x3y4 yards, which expression represents the width of the rectangle in yards?

Which of the following is equivalent to 3x - 4y = 6?

Given p(x) = -4(x - 15)2 +2, what is the value of p(7)?
Record your answer.

A baker determined the annual profit in dollars from selling pies using p(n) = 52n - 0.05n2 , where n is the number of pies sold. What is the annual profit if the baker sells 400 pies?

$20,760

$12,800

$28,800

$20,780

Given f(x) = 1/3(4 - x)2 , what is the value of f(16)? Record your answer.

In a sequence of numbers, a3 = 0, a4 = 6, a5 = 12, a6 = 18, a7 = 24. Based on this information, which equation can be used to find the nth term in the sequence, an?

an = -6n +18

an = -18n + 6

an = 6n - 18

an = 18n - 6

What is the equation is slope-intercept form of the line that passes through the points (-26, -11) and (39, 34)?

The table represents some points on the graph of linear function f .
Which function represents f ?

f(x) = 26(x - 2)

f(x) = -26(2x - 1)

f(x) = 13(x - 2)

f(x) = -2(26x - 1)

The value of y is directly proportional to the value of x. When x = 3.5, the value of y is 14. What is the value of y when x = 28 ? Record your answer.

What is the equation in slope-intercept form of the line that passes through the point (5,0) and is parallel to the line represented by y = 1.2x + 3.8 ?

y = 1.2x + 5

y = -1.2x + 6

y = 1.2x - 6

y = -1.2x - 5

What is the equation in slope-intercept form of the line that crosses the x-axis at 36 and is perpendicular to the line represented by y = -4/9x + 5 ?

The tables of ordered pairs represent some points on the graphs of lines f and g ?

Which system of equations represents the lines f and g ?

What is the solution to 4(y - 3) + 19 = 8(2y + 3) + 7 ?

What is the solution to this equation?
-4(2m - 7) = 3(52 - 4m)

Which function is equivalent to y = 3(x + 2)2 + 7 ?

y = 3x2 + 12x +19

y = 3x2 + 12x + 33

y = 3x2 + 33

y = 3x2 + 19

The graph of a quadratic function is shown on the grid.

Which function is best represented by this graph?

The graph shows the height in feet of an object above the ground t seconds after it was launched from the ground.

Which function is best represented by the graph of this situation?

Given g(x) = x2 - 6x - 16, which statement is true?

The zeros are -8 and 2, because the factors of g are (x + 8) and (x + 2).

The zeros are -8 and 2, because the factors of g are (x + 8) and (x - 2).

The zeros are 8 and 2, because the factors of g are (x - 8) and (x - 2).

The zeros are -2 and 8, because the factors of g are (x + 2) and (x -  8).

Which statement about k(x) = -x2 - 2x + 15 is true?

The zeros are 3 and 5, because k(x) = -(x - 3)(x - 5).

The zeros are -3 and 5, because k(x) = -(x + 3)(x - 5)

The zeros are -5 and 3, because k(x) = -(x + 5)(x - 3)

The zeros are -5 and -3, because k(x) = -(x + 5)(x + 3)

The graph of f(x) = x2 was translated 4.5 units to the left to create the graph of function g. Which function represents g ?

g(x) = (x - 4.5)2

g(x) = x2 - 4.5

g(x) = (x + 4.5)2

g(x) = x2 + 4.5

The graph of f(x) = x2 is transformed to create the graph of h(x) = 2f(x). Which graph best represents f and h?

Which value of x is a solution to this equation?

x = -12

x = -6

x = -4

x = -2

What is the solution set for 2x2 + 15 = -11x

{1.5, 5}

{2.5, 3}

{-3, -2.5}

{-5, -1.5}

The scatterplot and table show the weekly profit in dollars earned from the sale of pastries at seven different prices. The data can be modeled by a quadratic function.

Which function best models the data?

The table of values shows a linear relationship between x and y.

What is the slope of the line represented by the table of values?

What is the slope of the line that passes through the points (5, -11) and (-9, 17)?

The values in the table represent a linear relationship between x and y.

What is the rate of change of y with respect to x?

A contractor’s total earnings from a job include a fixed amount plus an amount based on the number of hours worked. The values in the table represent the linear relationship between the number of hours worked and the contractor’s total earnings in dollars.

What is the rate of change of the contractor’s total earnings in dollars with respect to the number of hours worked?

$9.25 per hour worked

$8.75 per hour worked

$10.00 per hour worked

$20.00 per hour worked

The graph of a linear function is shown on the grid.

What is the rate of change of y with respect to x for this function?
Record your answer. Write as a decimal as needed.

The graph of linear function g passes through the points(-7,-4) and (7, 6), as shown.

What are the slope and y-intercept of the graph of g?

The slope is __________, and the y-intercept is __________.

Graph -5y = -6x + 15.

Instructions

Click a Graph tab (Graph 1, Graph 2, and so on) for each graph you need to plot.
Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
After creating your graph, you can check the dashed line box.

The graph of linear function f passes through the point (1, −9) and has a slope of −3.
What is the zero of f?

2

-2

-6

4

The graph of linear function h is shown on the grid.

Given f(x) = x and h(x) = af(x), what is the value of a? Use one decimal value as needed.

A zookeeper recorded the feeding schedule for a baby rhinoceros for 20 weeks. The table and scatterplot show the percentage of the baby rhinoceros’s body mass that was used to determine the amount of food given at each feeding as a linear function of its age in weeks.

What is the best prediction of the percentage of the baby rhinoceros’s body mass that should be used to determine the amount of food given at each feeding when it is 25 weeks old?

8.5%

6%

2.5%

10%

A company advertises on a website. A worker tracked the number of visits to the website and the number of clicks on the advertisement. The table shows the data for several days. A linear function can be used to model the data.

Based on the table, what is the best prediction of the number of clicks on the advertisement if 1,500 people visit the website?

77

105

83

137

The table represents some points on the graph of an exponential function.

Based on the table, which function represents the same relationship?

f(x) = 1.6x1.25

f(x) = 1.6(0.8)x

f(x) = 1.6x0.8

f(x) = 1.6(1.25)x

The graph shows the number of game consoles sold in millions since 2009.

Based on this information, which function best models the number of game consoles sold in millions x years since 2009?

g(x) = 25.5(0.6)x

g(x) = 6.12(25.5)x

g(x) = 25.5(6.12)x

g(x) = 0.6(25.5)x

Jeffery is a spelunker. He explores caves. Jeffery has been collecting data on the growth of stalactites over a period of years, as shown in the table.

Stalactite Growth

Use technology to determine an exponential function to model the data and predict the length of the stalactite after 10 years.
Record your answer. Use 2 decimal places.

Which function is equivalent to g(x) = x2 + 15x - 54 ?

g(x) = (x + 18)(x - 3)

g(x) = (x - 9)(x + 6)

g(x) = (x - 18)(x + 3)

g(x) = (x + 9)(x - 6)

The table represents some points on the graph of an exponential function.

Which function represents the same relationship?

The table shows a linear relationship between x and y.

What is the rate of change of y with respect to x?

Which graph best represents y = 10(0.85)x  ?

Which expression is equivalent to
(10 + 7r - r2) + (-6r2 - 18 + 5r) ?

-7r2 + 12r - 8

-7r2 + 2r + 8

7r2 + 12r + 8

7r2 + 2r - 8

Which expression is equivalent to 

Which expression is equivalent to 
35m2 - 63 ?

7m(5m - 9)

-7m(5m + 9)

-7(5m2  + 9)

7(5m2 - 9)

Which expression is a factored form of 2x2 - 25x + 63 ?

(x - 9)(2x - 7)

(x - 7)(2x - 9)

(x + 7)(2x + 9)

(x + 9)(2x + 7)

Which expression is equivalent to 16w2 + 24w + 9 ?

(8w - 3)2

(4w + 3)2

(4w - 3)2

(8w + 3)2

Which expression is a factor of 21x2 + 13x - 20?

3x + 5

7x + 4

3x - 4

7x - 5

Which expression is equivalent to 9n2 - 25 ?

9(n - 4)2

9(n + 4)(n - 4)

(3n + 5)(3n - 5)

(3n - 5)2

Which expression is equivalent to 

92

Which expression is equivalent to 

Which expression is equivalent to 

The area of a rectangle is 54x9y8 square yards. If the length of the rectangle is 6x3y4 yards, which expression represents the width of the rectangle in yards?

Which of the following is equivalent to 3x - 4y = 6?

A baker determined the annual profit in dollars from selling pies using p(n) = 52n - 0.05n2 , where n  is the number of pies sold. What is the annual profit if the baker sells 400 pies?

$20,760

$12,800

$28,800

$20,780

In a sequence of numbers, a3 = 0, a4 = 6, a5 = 12, a6 = 18, a7 = 24. Based on this information, which equation can be used to find the nth term in the sequence, an?

an = -6n +18

an = -18n + 6

an = 6n - 18

an = 18n - 6

What is the equation is slope-intercept form of the line that passes through the points (-26, -11) and (39, 34)?

The table represents some points on the graph of linear function f .
Which function represents f ?

f(x) = 26(x - 2)

f(x) = -26(2x - 1)

f(x) = 13(x - 2)

f(x) = -2(26x - 1)

What is the equation in slope-intercept form of the line that passes through the point (5,0) and is parallel to the line represented by                 y = 1.2x + 3.8 ?

y = 1.2x + 5

y = -1.2x + 6

y = 1.2x - 6

y = -1.2x - 5

What is the equation in slope-intercept form of the line that crosses the x-axis at 36 and is perpendicular to the line represented by                             y = -4/9x + 5 ?

The tables of ordered pairs represent some points on the graphs of lines f and g ?

Which system of equations represents the lines f and g ?

Which function is equivalent to y = 3(x + 2)2 + 7 ?

y = 3x2 + 12x +19

y = 3x2 + 12x + 33

y = 3x2 + 33

y = 3x2 + 19

The graph of a quadratic function is shown on the grid.

Which function is best represented by this graph?

The graph shows the height in feet of an object above the ground t seconds after it was launched from the ground.

Which function is best represented by the graph of this situation?

Given g(x) = x2 - 6x  - 16, which statement is true?

The zeros are -8 and 2, because the factors of g are (x + 8) and (x + 2).

The zeros are -8 and 2, because the factors of g are (x + 8) and (x - 2).

The zeros are 8 and 2, because the factors of g are (x - 8) and (x - 2).

The zeros are -2 and 8, because the factors of g are (x + 2) and (x -  8).

Which statement about k(x) = -x2 - 2x + 15 is true?

The zeros are 3 and 5, because k(x) = -(x - 3)(x - 5).

The zeros are -3 and 5, because k(x) = -(x + 3)(x - 5)

The zeros are -5 and 3, because k(x) = -(x + 5)(x - 3)

The zeros are -5 and -3, because k(x) = -(x + 5)(x + 3)

The graph of f(x) = x2 was translated 4.5 units to the left to create the graph of function g. Which function represents g ?

g(x) = (x - 4.5)2

g(x) = x2 - 4.5

g(x) = (x + 4.5)2

g(x) = x2 + 4.5

The graph of f(x) = x2 is transformed to create the graph of h(x) = 2f(x). Which graph best represents f and h?

Which value of x is a solution to this equation?

x = -12

x = -6

x = -4

x = -2

What is the solution set for 2x2 + 15 = -11x

{1.5, 5}

{2.5, 3}

{-3, -2.5}

{-5, -1.5}

The scatterplot and table show the weekly profit in dollars earned from the sale of pastries at seven different prices. The data can be modeled by a quadratic function.

Which function best models the data?

The table of values shows a linear relationship between x and y.

What is the slope of the line represented by the table of values?

A contractor’s total earnings from a job include a fixed amount plus an amount based on the number of hours worked. The values in the table represent the linear relationship between the number of hours worked and the contractor’s total earnings in dollars.

What is the rate of change of the contractor’s total earnings in dollars with respect to the number of hours worked?

$9.25 per hour worked

$8.75 per hour worked

$10.00 per hour worked

$20.00 per hour worked

The graph of linear function f passes through the point (1, −9) and has a slope of −3.
What is the zero of f?

2

-2

-6

4

A zookeeper recorded the feeding schedule for a baby rhinoceros for 20 weeks. The table and scatterplot show the percentage of the baby rhinoceros’s body mass that was used to determine the amount of food given at each feeding as a linear function of its age in weeks.

What is the best prediction of the percentage of the baby rhinoceros’s body mass that should be used to determine the amount of food given at each feeding when it is 25 weeks old?

8.5%

6%

2.5%

10%

A company advertises on a website. A worker tracked the number of visits to the website and the number of clicks on the advertisement. The table shows the data for several days. A linear function can be used to model the data.

Based on the table, what is the best prediction of the number of clicks on the advertisement if 1,500 people visit the website?

77

105

83

137

The table represents some points on the graph of an exponential function.

Based on the table, which function represents the same relationship?

f(x) = 1.6x1.25

f(x) = 1.6(0.8)x

f(x) = 1.6x0.8

f(x) = 1.6(1.25)x

The graph shows the number of game consoles sold in millions since 2009.

Based on this information, which function best models the number of game consoles sold in millions x years since 2009?

g(x) = 25.5(0.6)x

g(x) = 6.12(25.5)x

g(x) = 25.5(6.12)x

g(x) = 0.6(25.5)x

Calculator hacks (practice)

Calculator hacks (practice)

An equation is shown below.3x - 10x + 5 = 5x + 17What is the value of x that makes the equation true?

Write the equation in slope-intercept form of the line that passes through the points (-4,2) and (12,6)? Use decimals when needed.

What is the positive solution to this equation?4x2 + 12x = 135Record your answer. Be sure to use the correct place value.

Given p(x) = -4(x - 15)2 +2, what is the value of p(7)?Record your answer.

Given f(x) = 1/3(4 - x)2 , what is the value of f(16)? Record your answer.

The value of y is directly proportional to the value of x. When x = 3.5, the value of y is 14. What is the value of y when x = 28 ? Record your answer.

What is the solution to 4(y - 3) + 19 = 8(2y + 3) + 7 ?

What is the solution to this equation?-4(2m - 7) = 3(52 - 4m)

What is the slope of the line that passes through the points (5, -11) and (-9, 17)?

The values in the table represent a linear relationship between x and y.What is the rate of change of y with respect to x?

The graph of a linear function is shown on the grid.What is the rate of change of y with respect to x for this function?Record your answer. Write as a decimal as needed.

Graph -5y = -6x + 15.

The graph of linear function h is shown on the grid.Given f(x) = x and h(x) = af(x), what is the value of a? Use one decimal value as needed.

An equation is shown below.3x - 10x + 5 = 5x + 17What is the value of x that makes the equation true?

Which function is equivalent to g(x) = x2 + 15x - 54 ?

Write the equation in slope-intercept form of the line that passes through the points (-4,2) and (12,6)? Use decimals when needed.

What is the positive solution to this equation?4x2 + 12x = 135Record your answer. Be sure to use the correct place value.

The table represents some points on the graph of an exponential function.Which function represents the same relationship?

The table shows a linear relationship between x and y.What is the rate of change of y with respect to x?

Which graph best represents y = 10(0.85)x ?

Which expression is equivalent to(10 + 7r - r2) + (-6r2 - 18 + 5r) ?

Which expression is equivalent to

Which expression is equivalent to 35m2 - 63 ?

Which expression is a factored form of 2x2 - 25x + 63 ?

Which expression is equivalent to 16w2 + 24w + 9 ?

Which expression is a factor of 21x2 + 13x - 20?

Which expression is equivalent to 9n2 - 25 ?

Which expression is equivalent to

Which expression is equivalent to

Which expression is equivalent to

The area of a rectangle is 54x9y8 square yards. If the length of the rectangle is 6x3y4 yards, which expression represents the width of the rectangle in yards?

Which of the following is equivalent to 3x - 4y = 6?

Given p(x) = -4(x - 15)2 +2, what is the value of p(7)?Record your answer.

A baker determined the annual profit in dollars from selling pies using p(n) = 52n - 0.05n2 , where n is the number of pies sold. What is the annual profit if the baker sells 400 pies?

Given f(x) = 1/3(4 - x)2 , what is the value of f(16)? Record your answer.

In a sequence of numbers, a3 = 0, a4 = 6, a5 = 12, a6 = 18, a7 = 24. Based on this information, which equation can be used to find the nth term in the sequence, an?

What is the equation is slope-intercept form of the line that passes through the points (-26, -11) and (39, 34)?

The table represents some points on the graph of linear function f .Which function represents f ?

The value of y is directly proportional to the value of x. When x = 3.5, the value of y is 14. What is the value of y when x = 28 ? Record your answer.

What is the equation in slope-intercept form of the line that passes through the point (5,0) and is parallel to the line represented by y = 1.2x + 3.8 ?

What is the equation in slope-intercept form of the line that crosses the x-axis at 36 and is perpendicular to the line represented by y = -4/9x + 5 ?

The tables of ordered pairs represent some points on the graphs of lines f and g ?Which system of equations represents the lines f and g ?

What is the solution to 4(y - 3) + 19 = 8(2y + 3) + 7 ?

What is the solution to this equation?-4(2m - 7) = 3(52 - 4m)

Which function is equivalent to y = 3(x + 2)2 + 7 ?

The graph of a quadratic function is shown on the grid.Which function is best represented by this graph?

The graph shows the height in feet of an object above the ground t seconds after it was launched from the ground.Which function is best represented by the graph of this situation?

Given g(x) = x2 - 6x - 16, which statement is true?

Which statement about k(x) = -x2 - 2x + 15 is true?

The graph of f(x) = x2 was translated 4.5 units to the left to create the graph of function g. Which function represents g ?

The graph of f(x) = x2 is transformed to create the graph of h(x) = 2f(x). Which graph best represents f and h?

Which value of x is a solution to this equation?

What is the solution set for 2x2 + 15 = -11x

The scatterplot and table show the weekly profit in dollars earned from the sale of pastries at seven different prices. The data can be modeled by a quadratic function.Which function best models the data?

The table of values shows a linear relationship between x and y.What is the slope of the line represented by the table of values?

What is the slope of the line that passes through the points (5, -11) and (-9, 17)?

The values in the table represent a linear relationship between x and y.What is the rate of change of y with respect to x?

The graph of a linear function is shown on the grid.What is the rate of change of y with respect to x for this function?Record your answer. Write as a decimal as needed.

Graph -5y = -6x + 15.

The graph of linear function f passes through the point (1, −9) and has a slope of −3.What is the zero of f?

The graph of linear function h is shown on the grid.Given f(x) = x and h(x) = af(x), what is the value of a? Use one decimal value as needed.

The table represents some points on the graph of an exponential function.Based on the table, which function represents the same relationship?

The graph shows the number of game consoles sold in millions since 2009.Based on this information, which function best models the number of game consoles sold in millions x years since 2009?

An equation is shown below.
3x - 10x + 5 = 5x + 17
What is the value of x that makes the equation true?

What is the positive solution to this equation?
4x2 + 12x = 135
Record your answer. Be sure to use the correct place value.

Given p(x) = -4(x - 15)2 +2, what is the value of p(7)?
Record your answer.

What is the solution to this equation?
-4(2m - 7) = 3(52 - 4m)

The values in the table represent a linear relationship between x and y.

What is the rate of change of y with respect to x?

The graph of a linear function is shown on the grid.

What is the rate of change of y with respect to x for this function?
Record your answer. Write as a decimal as needed.

The graph of linear function h is shown on the grid.

Given f(x) = x and h(x) = af(x), what is the value of a? Use one decimal value as needed.

An equation is shown below.
3x - 10x + 5 = 5x + 17
What is the value of x that makes the equation true?

What is the positive solution to this equation?
4x2 + 12x = 135
Record your answer. Be sure to use the correct place value.

The table represents some points on the graph of an exponential function.

Which function represents the same relationship?

The table shows a linear relationship between x and y.

What is the rate of change of y with respect to x?

Which expression is equivalent to
(10 + 7r - r2) + (-6r2 - 18 + 5r) ?

Which expression is equivalent to
35m2 - 63 ?

Given p(x) = -4(x - 15)2 +2, what is the value of p(7)?
Record your answer.

The table represents some points on the graph of linear function f .
Which function represents f ?

The tables of ordered pairs represent some points on the graphs of lines f and g ?

Which system of equations represents the lines f and g ?

What is the solution to this equation?
-4(2m - 7) = 3(52 - 4m)

The graph of a quadratic function is shown on the grid.

Which function is best represented by this graph?

The graph shows the height in feet of an object above the ground t seconds after it was launched from the ground.

Which function is best represented by the graph of this situation?

The scatterplot and table show the weekly profit in dollars earned from the sale of pastries at seven different prices. The data can be modeled by a quadratic function.

Which function best models the data?

The table of values shows a linear relationship between x and y.

What is the slope of the line represented by the table of values?

The values in the table represent a linear relationship between x and y.

What is the rate of change of y with respect to x?

The graph of a linear function is shown on the grid.

What is the rate of change of y with respect to x for this function?
Record your answer. Write as a decimal as needed.

The graph of linear function f passes through the point (1, −9) and has a slope of −3.
What is the zero of f?

The graph of linear function h is shown on the grid.

Given f(x) = x and h(x) = af(x), what is the value of a? Use one decimal value as needed.

The table represents some points on the graph of an exponential function.

Based on the table, which function represents the same relationship?

The graph shows the number of game consoles sold in millions since 2009.

Based on this information, which function best models the number of game consoles sold in millions x years since 2009?