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Biblioteka

Algebra 1 ACP Countdown

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ACP Review

Warm Up Questions for 12/13

Warm Up - 12/14
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A1.C.3.c
1
A1.C.2.b
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A1.C.3.d
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A1.C.3.c
Warm - Up Questions 12/13/23
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A1.C.2.c
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A1.C.2.c
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A1.C.3.b
Warm Up Questions 12/12/23
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A1.C.2.c
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A1.C.3.c
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A1.C.3.c
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A1.C.3.d
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A1.C.12.e
A.3A: I can determine the slope of a line given a table, graph, or two points or and an equation written in various forms y = mx + b, Ax + By = C and y-y1 = m(x-x1). (1 Question)
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A1.C.3.a
1
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A1.C.3.a
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A1.C.3.a
A.3B (3 Questions) I can calculate the rate of change of a linear function represented tabularly, graphically or algebraically in context of mathematical and real world problems.
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A1.C.3.b
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A1.C.3.b
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A1.C.3.b
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A1.C.3.b
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A1.C.3.b
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A1.C.3.b
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A1.C.3.b
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A1.C.3.b
A.3C (3 Questions) I can graph linear functions on the coordianate plane and identify key features, including x - intercept, y-intercept, zeros, and slope.
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A1.C.3.c
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A1.C.3.c
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A1.C.3.c
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A1.C.3.c
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A1.C.3.c
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A1.C.3.c
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A1.C.3.c
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A1.C.2.c
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A1.C.3.c
A.3D: (2 Questions)Graph the solution set of linear inequalities in two variables on the coordinate plane.
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A1.C.3.d
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A1.C.3.d
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A1.C.3.d
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A1.C.3.d
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A1.C.3.d
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A1.C.3.d
A.5A (3 Questions): Solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides.
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A1.C.5.a
10
A1.C.5.a
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A1.C.5.a
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A1.C.5.a
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A1.C.5.a
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A1.C.5.a
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A1.C.5.a
A.5C (3 Questions): Solve systems of two linear equations with two variables for mathematics and real-world problems.
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A1.C.5.c
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A1.C.5.c
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A1.C.5.c
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A1.C.5.c
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A1.C.5.c
A.2I (2 Questions): I can write systems of two linear equations given a table of values, a graph, and a verbal description.
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A1.C.2.i
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A1.C.2.i
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A1.C.2.i
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A1.C.2.i
A.2D (2 Questions) I can write and solve equations involving direct variation.
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A1.C.2.d
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A1.C.2.d
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A1.C.2.d
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A1.C.2.d
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A1.C.2.d
A.2E: (1 Question) Write the equation of a line that contains a given point and is parallel to a given line.
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A1.C.2.e
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A1.C.2.e
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A1.C.2.e
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A1.C.2.e
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A1.C.2.e
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A1.C.2.e
A.2F: (1 Question) Write the equation of the line that contains a given point and is perpendicular to a given line.
1
1
A1.C.2.f
1
A1.C.2.f
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A1.C.2.f
A.2G:(1 Question): Write an equation of a line that is parallel or perpendicular to the x or y - axis and determine whether the slope of the line is zero or undefined.
1
A1.C.2.g
1
A1.C.2.g
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A1.C.2.g
A.2A: (3 Questions): Determine the domain and range of a linear function in mathematical and real - world problems, both discrete and continuous and represent domain and range using inequalities.
1
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A1.C.2.a
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A1.C.2.a
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A1.C.2.a
Pitanje 1
1.

The graph of linear function k passes through the points ( -7,0 ) and (1, 8).

Which statement must be true?

Pitanje 2
2.

What is the equation in the point-slope form of a line passing through the point (3, -2) with a slope the same as

Pitanje 3
3.

Which ordered pair is in the solution set of 8x + 16y > 32?

Pitanje 4
4.

The graph models the linear relationship between the number of monthly payments made on a loan and the remaining balance in dollars left to pay on the loan.

Which statement describes the x-intercept of the graph?

Pitanje 5
5.

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

Which equation is best represented by this graph?

Pitanje 6
6.

The table shows the amount of pet food in cups remaining in an automatic feeder as a function of the number of meals the feeder has dispensed.

Based on the table, which function models this situation?

Pitanje 7
7.

The table shows the linear relationship between the average height in feet of trees on a tree farm and the number of years since the trees were planted.

What is the rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted?

Pitanje 8
8.

The graph of a linear function is shown on the grid

Which equation is best represented by this graph?

Pitanje 9
9.

A paper airplane was thrown from the top of a tall building. The height of the paper airplane above the ground can be found using the function y = −1.5x + 60, where x is the time in seconds the airplane has been in the air.

How many seconds did it take the paper airplane to reach the ground?

Record your answer and fill in the bubbles on your answer document.

Pitanje 10
10.

Which line appears to have an x-intercept of −5 and a y-intercept of 3?

Pitanje 11
11.

Which graph best represents the solution set of -4x ≤ 6y-54?

Pitanje 12
12.

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

Pitanje 13
13.

Quick Skill - Identify the form of each equation

  • y + 3 = 2(x - 3)

  • x + y = -35

  • y = 10 - 12x

  • 7y - 8x = 15

  • 12 = 3x - 8y

  • c = 3a - 8

  • 5a + 9 = b

  • y + 12 = -8(x - 0)

  • Slope - Intercept Form (y = mx + b)

  • Point - Slope Form y - y1 = m(x - x1)

  • Standard Form Ax + By = C

Pitanje 14
14.

Match the representation with the slope

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

6x + 2y = 1

arrow_right_alt

arrow_right_alt

arrow_right_alt

(5, - 11) (-9, 17)

arrow_right_alt

arrow_right_alt

3y + 2x = 12

arrow_right_alt

-2

Pitanje 15
15.

What is the slope of the line 50x + 25y = 5

Pitanje 16
16.

A line contains the points (-2, 2) and (4, -2)

What is the slope of the line?

Pitanje 17
17.

Quick Skill: Identify all the vocabulary that can represent rate of change.

Pitanje 18
18.

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

What is the rate of change of y in relation to x?

Pitanje 19
19.
Drugi mogući odgovor:
$26,750
$4,500
increases
$2,250
decreases
Pitanje 20
20.
Pitanje 21
21.

Maria does the same number of jumping jacks each day over a period of several days. On the 5th day she completed a total of 325 jumping jacks. By the 8th day she has completed a total of 520. What value equals the rate of change of the total number of jumping jacks when graphed against the day. (only input the number)

Pitanje 22
22.

A music company service charges a monthly fee plus a fixed amount for each download. One month Rhonda downloads 12 songs and pays $15.67. The next month, she downloads 15 songs and pays $18.34. At what rate does her bill change with respect to the number of downloads?

Pitanje 23
23.

A line is graphed on a coordinate grid as shown.

Which table represents the same rate of change as the line on the graph?

Pitanje 24
24.

The table represents several points that fall on a graph of a linear function.

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

Pitanje 25
25.

If a question is asking for the zeros, which of the following is it asking for?

Pitanje 26
26.

Quick Skill: Identifying x - intercept vs y - intercepts

  • (4, 0)

  • (0, - 4)

  • (-3, 0)

  • (- 21, 0)

  • (0, -8)

  • x - intercept

  • y - intercept

Pitanje 27
27.

The graph of a function is shown. What are the x and y intercepts of the graph?

Pitanje 28
28.

Linear function p has a zero of 6 and a y - intercept of -2. Which graph best represents graph k

Pitanje 29
29.
Pitanje 30
30.

Which graph best represents the equation -5y = -6x + 15

Pitanje 31
31.

For each of the graphs, drag and drop the x-intercept(zeros), y-intercept and slope for each.

Drugi mogući odgovor:
x - intercept (4, 0)
x - intercept (0, 3)
y - intercept (4, 0)
x - intercept (0, 4)
y - intercept (0, 3)

slope =

slope =

y - intercept (3, 0)

slope =

Pitanje 32
32.
Pitanje 33
33.

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

Which function represents f ?

Pitanje 34
34.

Linear function t has an x-intercept of -1and a y-intercept of 5. Which graph best represents t?

Pitanje 35
35.

Which graph best represents the solution set of ?

Pitanje 36
36.

Which graph best represents the solution set of y ≤ 3/4x − 4?

Pitanje 37
37.

Which inequality is best represented by the graph?

Pitanje 38
38.

Pitanje 39
39.

Which graph best represents the solution set for

Pitanje 40
40.

The graph of 2x − 5y = 10 is shown on the grid.

Which ordered pair is in the solution set of 2x − 5y ≥ 10?

Pitanje 41
41.

Quick Skill: Identify if the given equation has no solutions or infinitely many solutions.

  • No Solutions

  • Infinitely Many Solutions

Pitanje 42
42.

Quick Skill: Explain the error that was made when solving the following equation and what is the correct solution?

Pitanje 43
43.

What value of n makes the equation 4(0.5 - 3) = n - 0.25(12 - 8n) true?

Pitanje 44
44.

What is the solution to 4(q + 56.5) = 30q - 112?

Pitanje 45
45.

What is the solution to 8x -3(2x - 4) = 3(x - 6)

Pitanje 46
46.

Pitanje 47
47.

NOTES:

Solving a system of equations requires solving for the ordered pair (x and y coordinates) that satisfies both equations.

Equations can be in any form.

Slope - Intercept; y = mx + b

Point - slope form y - y1 = m(x - x1)

or Standard form Ax + By = C

Some equations are NOT in any form and must be converted into one of the above forms. Be familiar with those. Always reference your formula chart.

Pitanje 48
48.

Two customers went to a post office to buy postcards and large envelopes. Each postcard costs the same amount, and each large envelope costs the same amount.

  • The first customer paid $12 for 14 postcards and 5 large envelopes.

  • The second customer paid $24.80 for 10 postcards and 15 large envelopes.

What was the cost in dollars of each large envelope?

Pitanje 49
49.

A manager purchased a total of 21 coffee mugs and key chains. Each coffee mug cost $8.50, and each key chain cost $2.75. If the manager spent a total of $132.50, how many coffee mugs did the manager purchase?

Record your answer and fill in the bubbles on your answer document.

Pitanje 50
50.

What is the value of y in the solution to this system of equations?

6y + x = −59

x = −2y + 9

Pitanje 51
51.

What is the x-value of the solution to this system of equations?

x = 2y − 4

7x + 5y = −66

Pitanje 52
52.

What is the value of x in the solution to this system of equations?

3x - 5y = 22

y = -5x + 32

Pitanje 53
53.

A system of equations is graphed on the grid.

Which system of equations does the graph represent?

Pitanje 54
54.

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same.

Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

Pitanje 55
55.

The tables of ordered pairs represent some points on the graphs of lines q and v.

Which system of equations is represented by lines q and v?

Pitanje 56
56.

Which graph best represents this system of equations and its solution?

8x − 4y = −16

3x + 15y = −6

Direct Variation represents a proportional relationship, where the dependent varies directly with the independent. The equation will be in the form of y = kx, in which K is the slope, and the linear line will go through the origin when graphed.

When solving for direct variation problems, set up ratios (fractions) to solve for the unknown value.

(Other vocabulary which can be used is directly varies or varies directly)

Pitanje 57
57.

The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds (Teacher Led Example)

What is the time in seconds the toy robot moves when the total distance is 408 centimeters?

Pitanje 58
58.

In an electrical circuit, the voltage across a resistor is directly proportional to the current running through the resistor. If a current of 12 amps produces 480 volts across a resistor, how many volts would a current of 1.5 amps produce across an identical resistor?

Record your answer and fill in the bubbles on your answer document.

Pitanje 59
59.

The value of y varies directly with x. If x = 3, then y = 21. What is the value of x when y = 105?

Pitanje 60
60.

The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds.

What is the time in seconds the toy robot moves when the total distance is 408 centimeters?

Pitanje 61
61.

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 and fill in the bubbles on your answer document.

If two lines are parallel their slopes are the same but their intercepts are different

To find the parallel line

1) First - Calculate or identify the slope of the original equation.

2) Use the slope - intercept form to substitute the given point (if given) and the slope.

3) Calculate for the y - intercept.

Pitanje 62
62.

QUICK SKILL: Which equations have the same slope? Match

Stavka koja se može prevućiarrow_right_altOdgovarajuća stavka

(7, 2) and (1, -1)

arrow_right_alt

y - 4 = -2(x - 2)

arrow_right_alt

arrow_right_alt

4x + 2y = 7

arrow_right_alt

arrow_right_alt

Pitanje 63
63.

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y - intercept of (0, -2)? Teacher Led Example

Pitanje 64
64.

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?

Pitanje 65
65.

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?

Pitanje 66
66.

What is the equation of a line that passes through the point (3, -5) and has a zero slope?

Pitanje 67
67.

What is the slope of a line parallel to

Pitanje 68
68.

What is the equation in standard form of the line that passes through the point (6, −1) and is parallel to the line represented by 8x + 3y = 15?

When two lines are perpendicular, their slopes are opposite reciprocals of each other.

Example: In the equation y = -5x + 9, we can see that the slope of the equation is -5.

To calculate for the reciprocal change signs to the opposites, then flip the slope.

Pitanje 69
69.
Drugi mogući odgovor:
2
5
3

Pitanje 70
70.

What is the slope of a line that is perpendicular to the equation

Pitanje 71
71.

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

Pitanje 72
72.

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

Pitanje 73
73.

QUICK SKILL: Determine which representations are parallel to the x and y axis

  • x = -9

  • y = -9

  • zero slope

  • undefined slope

  • Parallel to x - axis

  • Parallel to y - axis

Pitanje 74
74.

What is the equation and slope of the line shown on the grid?

Pitanje 75
75.

Which statement best represents the equation of the line shown on the grid and its relationship to the x-axis?

NOTES: ________________________________________________

The domain is all the x - values of the function. (input, independent variable)

The range is all the y - values of the function (output, dependent variable)

NOTATIONS:______________________________________

open circle

<. or >

solid circle

<---- arrows at the endpoints ---->

continues in the direction to infinity

Example on analyzing the domain and range.

Given a graph:

What is the domain of the following function?

1) The endpoints of the line are solid circles therefore answer choice A and C can be eliminated.

2) The domain represents all possible x - values, therefore answer choice C and D can be eliminated

3) The only possible answer is B. 1) The endpoints are solid circles representing less than or equal to (or greater than or equal to) and all the possible values of x are from

- 4 to 1.5

Pitanje 76
76.

What is the range of the following function?

Pitanje 77
77.

A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x, the time in minutes.

Which answer choice best describes the domain and range of the function for this situation?

Pitanje 78
78.
Drugi mogući odgovor:
x
-9
y
-6
3
2
Pitanje 79
79.

A student rode a bike from school to a recreation center. The graph shows the student’s distance in miles from the recreation center after riding the bike for x minutes.

What is the range of the function for this situation?

Pitanje 80
80.

The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c = 34.95u + 6.25, where u is the number of uniforms bought. If there are at least 8 players but not more than 12 players on the volleyball team, what is the domain of the function for this situation?