Study Guide for Unit 5 cloned 5/4/2022 cloned 5/23/2022

1

What are the next three terms in the sequence? -3, 2, 7, 12,, _, __
Hint: Take the difference between the terms and find the pattern

1

Geoff planted dahlias in his garden. Dahlias have bulbs that divide and reproduce underground. In the first year, Geoff’s garden produced 4 bulbs. In the second year, it produced 8 bulbs, and in the third year it produced 16 bulbs. If this pattern continues, how many bulbs should Geoff expect in the sixth year?
Hint: Is it a geometric sequence or arithmetic sequence? If it is a geometric sequence, use the formula for nth term = First term * common ration-1
For example: if the first term is 5 and the common ratio is 2 then the 6th term in the sequence = 5 2^5

1

What are the first four terms of the sequence represented by the expression n(n – 2) – 4?
Hint: plug in the value for n as 1, 2, 3, and 4 and calculate.
1(1 -2) - 4
2(2-2) -4
3(3 - 2) -4

1

A car maintains a speed of 23 mi/h for 5 seconds. It then accelerates to a speed of 46 mi/h in 5 seconds. It maintains that speed for the next 5 seconds. Which graph shows the car’s speed over time?
Hint: maintaining to a particular speed means a horizontal line/ slope is 0

1

Given the function rule f(x) = x² – 4x + 3, what is the output of f(–3)?
Hint: Substitute in x = -3
Therefore, calculate (-3)^2 - 4 *-3 +3

1

Suppose you earn $8 each hour you babysit. Which function describes the relationship between your total earnings E and the number of hours you babysit, h?
Hint: consider unit rate as 8 and starting point as 0

1

The data in the table illustrate a linear function.

What is the slope of the linear function?
Slope = Change in y / change in x = -2 - (-5) / ( 2 - 0)

1

Which hill described in the table is the steepest?

Hint: Find the slope by dividing Vertical rise / horizontal rise for each hill

1

Plot the graph for the equation y = 1/5 x -2
Start from the y intercept which is -2
then look at the slope 1/5 --- move one unit rise and 5 units to the right from the y- intercept
Repeat it the second step twice

1

A 154-lb person burns 420 calories per hour riding an exercise bicycle at a rate of 15 mi/hr. Write a function rule to represent the total calories burned over time by that person. Explain how the information in the problem relates to the function.
Hint: choose the right rate of change from the two options given -420 calories per hour or 15 mi/hr
The question is asking for the equation between calories burned and time. Thus rate of change should be amount of calories per hour

1

The sale price of shrimp at a local grocery store is $3.05 for the first ounce and $0.65 for each additional ounce. Which function rule shows how the cost of shrimp, y, depends on the number of ounces, x?
Hint: Identify the unit rate(m) and initial amount (b) and plug them in y = mx +b

1

Which quadratic rule represents the data in the table?

hint: Plug in the values of x in each of the options and check you get the y numbers in the table
eg: x^2 +5
when x = 1, y = (1^2) +5 = 6
When x = 1 y = -x^2 +5 , y = -(1^2) +5 = -1 +5 = 4 I got x = 1 , y = 4
Check all options

Study Guide for Unit 5 cloned 5/4/2022 cloned 5/23/2022

What are the next three terms in the sequence? -3, 2, 7, 12,__, ___, __Hint: Take the difference between the terms and find the pattern

What are the first four terms of the sequence represented by the expression n(n – 2) – 4?Hint: plug in the value for n as 1, 2, 3, and 4 and calculate.1(1 -2) - 42(2-2) -43(3 - 2) -4

A car maintains a speed of 23 mi/h for 5 seconds. It then accelerates to a speed of 46 mi/h in 5 seconds. It maintains that speed for the next 5 seconds. Which graph shows the car’s speed over time?Hint: maintaining to a particular speed means a horizontal line/ slope is 0

Given the function rule f(x) = x² – 4x + 3, what is the output of f(–3)?Hint: Substitute in x = -3Therefore, calculate (-3)^2 - 4 *-3 +3

Suppose you earn $8 each hour you babysit. Which function describes the relationship between your total earnings E and the number of hours you babysit, h?Hint: consider unit rate as 8 and starting point as 0

The data in the table illustrate a linear function.What is the slope of the linear function?Slope = Change in y / change in x = -2 - (-5) / ( 2 - 0)

Which hill described in the table is the steepest?Hint: Find the slope by dividing Vertical rise / horizontal rise for each hill

Plot the graph for the equation y = 1/5 x -2Start from the y intercept which is -2then look at the slope 1/5 --- move one unit rise and 5 units to the right from the y- interceptRepeat it the second step twice

The sale price of shrimp at a local grocery store is $3.05 for the first ounce and $0.65 for each additional ounce. Which function rule shows how the cost of shrimp, y, depends on the number of ounces, x?Hint: Identify the unit rate(m) and initial amount (b) and plug them in y = mx +b

Which quadratic rule represents the data in the table?hint: Plug in the values of x in each of the options and check you get the y numbers in the tableeg: x^2 +5when x = 1, y = (1^2) +5 = 6When x = 1 y = -x^2 +5 , y = -(1^2) +5 = -1 +5 = 4 I got x = 1 , y = 4Check all options

What are the next three terms in the sequence? -3, 2, 7, 12,__, ___, __Hint: Take the difference between the terms and find the pattern

What are the first four terms of the sequence represented by the expression n(n – 2) – 4?Hint: plug in the value for n as 1, 2, 3, and 4 and calculate.1(1 -2) - 42(2-2) -43(3 - 2) -4

A car maintains a speed of 23 mi/h for 5 seconds. It then accelerates to a speed of 46 mi/h in 5 seconds. It maintains that speed for the next 5 seconds. Which graph shows the car’s speed over time?Hint: maintaining to a particular speed means a horizontal line/ slope is 0

Given the function rule f(x) = x² – 4x + 3, what is the output of f(–3)?Hint: Substitute in x = -3Therefore, calculate (-3)^2 - 4 *-3 +3

Suppose you earn $8 each hour you babysit. Which function describes the relationship between your total earnings E and the number of hours you babysit, h?Hint: consider unit rate as 8 and starting point as 0

The data in the table illustrate a linear function.What is the slope of the linear function?Slope = Change in y / change in x = -2 - (-5) / ( 2 - 0)

Which hill described in the table is the steepest?Hint: Find the slope by dividing Vertical rise / horizontal rise for each hill

Plot the graph for the equation y = 1/5 x -2Start from the y intercept which is -2then look at the slope 1/5 --- move one unit rise and 5 units to the right from the y- interceptRepeat it the second step twice

The sale price of shrimp at a local grocery store is $3.05 for the first ounce and $0.65 for each additional ounce. Which function rule shows how the cost of shrimp, y, depends on the number of ounces, x?Hint: Identify the unit rate(m) and initial amount (b) and plug them in y = mx +b

Which quadratic rule represents the data in the table?hint: Plug in the values of x in each of the options and check you get the y numbers in the tableeg: x^2 +5when x = 1, y = (1^2) +5 = 6When x = 1 y = -x^2 +5 , y = -(1^2) +5 = -1 +5 = 4 I got x = 1 , y = 4Check all options

What are the next three terms in the sequence? -3, 2, 7, 12,, _, __
Hint: Take the difference between the terms and find the pattern

What are the first four terms of the sequence represented by the expression n(n – 2) – 4?
Hint: plug in the value for n as 1, 2, 3, and 4 and calculate.
1(1 -2) - 4
2(2-2) -4
3(3 - 2) -4

A car maintains a speed of 23 mi/h for 5 seconds. It then accelerates to a speed of 46 mi/h in 5 seconds. It maintains that speed for the next 5 seconds. Which graph shows the car’s speed over time?
Hint: maintaining to a particular speed means a horizontal line/ slope is 0

Given the function rule f(x) = x² – 4x + 3, what is the output of f(–3)?
Hint: Substitute in x = -3
Therefore, calculate (-3)^2 - 4 *-3 +3

Suppose you earn $8 each hour you babysit. Which function describes the relationship between your total earnings E and the number of hours you babysit, h?
Hint: consider unit rate as 8 and starting point as 0

The data in the table illustrate a linear function.

What is the slope of the linear function?
Slope = Change in y / change in x = -2 - (-5) / ( 2 - 0)

Which hill described in the table is the steepest?

Hint: Find the slope by dividing Vertical rise / horizontal rise for each hill

Plot the graph for the equation y = 1/5 x -2
Start from the y intercept which is -2
then look at the slope 1/5 --- move one unit rise and 5 units to the right from the y- intercept
Repeat it the second step twice

The sale price of shrimp at a local grocery store is $3.05 for the first ounce and $0.65 for each additional ounce. Which function rule shows how the cost of shrimp, y, depends on the number of ounces, x?
Hint: Identify the unit rate(m) and initial amount (b) and plug them in y = mx +b

Which quadratic rule represents the data in the table?

hint: Plug in the values of x in each of the options and check you get the y numbers in the table
eg: x^2 +5
when x = 1, y = (1^2) +5 = 6
When x = 1 y = -x^2 +5 , y = -(1^2) +5 = -1 +5 = 4 I got x = 1 , y = 4
Check all options

What are the next three terms in the sequence? -3, 2, 7, 12,, _, __
Hint: Take the difference between the terms and find the pattern

What are the first four terms of the sequence represented by the expression n(n – 2) – 4?
Hint: plug in the value for n as 1, 2, 3, and 4 and calculate.
1(1 -2) - 4
2(2-2) -4
3(3 - 2) -4

A car maintains a speed of 23 mi/h for 5 seconds. It then accelerates to a speed of 46 mi/h in 5 seconds. It maintains that speed for the next 5 seconds. Which graph shows the car’s speed over time?
Hint: maintaining to a particular speed means a horizontal line/ slope is 0

Given the function rule f(x) = x² – 4x + 3, what is the output of f(–3)?
Hint: Substitute in x = -3
Therefore, calculate (-3)^2 - 4 *-3 +3

Suppose you earn $8 each hour you babysit. Which function describes the relationship between your total earnings E and the number of hours you babysit, h?
Hint: consider unit rate as 8 and starting point as 0

The data in the table illustrate a linear function.

What is the slope of the linear function?
Slope = Change in y / change in x = -2 - (-5) / ( 2 - 0)

Which hill described in the table is the steepest?

Hint: Find the slope by dividing Vertical rise / horizontal rise for each hill

Plot the graph for the equation y = 1/5 x -2
Start from the y intercept which is -2
then look at the slope 1/5 --- move one unit rise and 5 units to the right from the y- intercept
Repeat it the second step twice

The sale price of shrimp at a local grocery store is $3.05 for the first ounce and $0.65 for each additional ounce. Which function rule shows how the cost of shrimp, y, depends on the number of ounces, x?
Hint: Identify the unit rate(m) and initial amount (b) and plug them in y = mx +b

Which quadratic rule represents the data in the table?

hint: Plug in the values of x in each of the options and check you get the y numbers in the table
eg: x^2 +5
when x = 1, y = (1^2) +5 = 6
When x = 1 y = -x^2 +5 , y = -(1^2) +5 = -1 +5 = 4 I got x = 1 , y = 4
Check all options