Free Printable Ch.1 Review

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Ch.1 Review

Total questions: 79

Worksheet time: 7hrs 39mins

Name

Class

Date

Name the parent function.

linear

constant

absolute value

quadratic

Name the parent function.

linear

quadratic

absolute value

cubic

Name the parent function.

linear

quadratic

cubic

logarithmic

What is the domain of the graph?

x ≥ -6

-7 ≤ x ≤ 3

-8 ≤ x ≤ 4

x ≤ -6

All real numbers

What is the range of the graph?

y ≥ -6

or (-6, inf)

-7 ≤ y ≤ 3

-8 ≤ y ≤ 4

y ≤ -6

or ( -inf, -6)

All real numbers

What is the domain of the graph?

y≥1

x ≥ 1

All real numbers

none of these

What is the range of the graph?

(1, inf)

(-inf, 1)

All real numbers

none of these

What is the domain?

x = 2

−∞ < x < ∞

y = 2

none of these

Which function has a range of all real numbers greater than or equal to -6?

10.

What is the y-intercept shown on the graph?

(0, -2)

(3, 0)

(0, 3)

None of these.

11.

What is the y-intercept shown on the graph?

(0, -2)

(4, -2)

(4, 0)

(0, 4)

12.

James has to sell restaurant discount cards as part of a fund raiser for soccer. The equation y = -10x + 500 models his selling where y is the total number of cards and x is the number of days.

Interpret the slope.

James is selling 500 cards over 10 days

James earns $500 for every 10 cards he sells

James is selling 10 cards each day

James starts with 500 cards to sell.

13.

James has to sell restaurant discount cards as part of a fund raiser for soccer. The equation y = -10x + 500 models his selling where y is the total number of cards and x is the number of days.

Interpret the y-intercept.

James is selling 500 cards over 10 days

James earns $500 for every 10 cards he sells

James is selling 10 cards each day

James starts with 500 cards to sell.

14.

Phoebe is turning 14. Her mom decides to throw her a big birthday party. She rents a place for $200 and the food will be $12 a person. The equation she uses to track her total costs (y) for each person who attends (x) is:

y = 12x + 200

What is the meaning of the slope in this problem?

Phoebe's mom pays an initial fee of $12.

Phoebe's mom pays an initial fee of $200.

Phoebe's mom must pay $12 per person.

Phoebe's mom must pay $200 per person.

15.

y = 12x + 200

What does the y-intercept mean in this problem?

Phoebe's mom must pay an initial fee of $12.

Phoebe's mom must pay an initial fee of $200.

Phoebe's mom must pay $12 per person.

Phoebe's mom must pay $200 per person.

16.

What is the slope?

2/3

3/2

-7

-5

17.

Determine the slope.

-5/3

5/3

3/5

-3/5

18.

How are the points in this table changing?

The y-values are increasing by 8 and the x-values are increasing by 2

The y values are increasing by 5 and the x values are increasing by 1

The y values are decreasing by 10 and the x values are decreasing by 1

19.

Find the slope

$m=\frac{9}{2}$

$m=\frac{3}{6}$

$m=\frac{7}{3}$

$m=\frac{2}{7}$

20.

Write the equation of the line that passes through the points ( 0, - 5 ) and ( 4, 3 )

y = 2x - 5

y = 1/2x - 5

y = 2x + 5

y = 1/2x + 5

21.

Write the equation of the line represented by this table.

y= 3x+5

y = -3x + 5

y= 8x - 1

y = 3x + 14

22.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.

(4, 0); m = 7

y - 4 = 7(x + 0)

y - 0 = 7(x - 4)

y = 7x + 4

y = 7x + 0

23.

What is the equation of the graph below?

f(x ) = I x + 4 I + 2

f(x ) = -I x - 4 I + 2

f(x ) = I x - 4 I + 2

f(x ) = -I x + 4 I + 2

24.

What is the equation of the graph below?

f(x) = - I x + 2 I

f(x) = - I x - 2 I

f(x) = I x + 2 I

f(x) = I x - 2 I

25.

What is the equation of the graph below?

f(x) = I x + 2 I

f(x) = I x + 2 I +2

f(x) = I x - 2 I +2

f(x) = I x - 2 I

26.

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

reflected over x axis, stretched by 2, right 3, up 3

reflected over x axis, stretched by 2, left 3 up 3.

reflected over x axis, shrunk by 2, right 3, up 3

reflected over the x axis, shrunk by 2, left 3, up 3

27.

What is the range of the absolute value function?

(-infinity, infinity)

[3, infinity)

[0, infinity)

(-infinity, 3]

28.

Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units

f(x) = |2x + 1| - 9

f(x) = |2x - 1| - 9

f(x) = 2|x + 1| - 9

f(x) = 2|x - 1| - 9

29.

Describe the transformation of the equation below from the parent function of y = I x I
y = I x - 4 I

Left 4

Right 4

Up 4

Down 4

30.

Describe the transformation that is applied to the parent function.

f(x) = IxI -5

Shifts left 5

Shifts right 5

Shifts up 5

Shifts down 5

31.

Choose the correct translated function.

f(x)= |x|+2

f(x)= |x|-2

f(x)= -|x|

f(x)= -|x|+2

32.

Describe the transformation of y = f(x) for the new function
y = 1/5f(x)

The graph of y = f(x) compressed horizontally by a factor of 1/5

The graph of y = f(x) was stretched horizontally by a factor of 5

The graph of y = f(x) was compressed vertically by a factor of 1/5

The graph of y = f(x) was stretched vertically by a factor of 5

33.

Does the following shift up or shift down from the parent function y = |x|?
y = |x| - 8

Shift up

Shift down

34.

How does the following move from the parent function
y = |x|
y = 1/2|x| + 3

Opens Up, Skinnier, Shift down

Opens Down, Wider, Shift up

Opens Up, Wider, Shift up

Opens Down, Skinnier, Shift up

35.

Which graph represents the parent function of an Absolute Value?

Black

Blue

Orange

Red

36.

Which function defines the graph?

f(x) = |x - 4| + 3

f(x) = |x - 3| + 4

f(x) = |-x + 4| + 3

f(x) = |x + 4| + 3

37.

What is the range of the function?

all real numbers

(3, inf)

(-4, inf)

3 ≤ y ≤ 7

38.

What is the equation of the absolute value function?

f(x)= 4|x+3|

f(x)= 1/4 |x+3|

f(x)= 1/4 |x - 3|

f(x)= 4|x - 3|

39.

Describe the transformation from the Absolute Value Parent Function.

Stretches more narrow, shifts right

Stretches wider, shifts right

Stretches more narrow, shifts left

Stretches wider, shifts left

40.

Describe the transformations of the absolute value equation.

Reflects over x-axis, compresses wider, shifts right 1 unit

Reflects over x-axis, compresses wider, shifts up 1 unit

Reflects over x-axis, stretches more narrow, shifts right 1 unit

Reflects over x-axis, stretches more narrow, shifts up 1 unit

41.

What is the vertex of of the graph of this equation?
$y=8\left|x-3\right|+7$

(3, 7)

(8, 7)

(-3, 7)

(-3, 8)

42.

Choose the correct description for the transformation
$y\ =\ 3\left|x\right|$

Vertical Stretch by a factor of 3

Vertical Shrink by a factor of 3

Vertical Compression by a factor of 1/3

43.

Choose the equation that matches the transformation:

--Reflection over the x-axis

$y=-|x|$

$y=|-x|$

$y=\frac{1}{2}|x|$

$y=2|x|$

44.

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?

The daily fee for the moving truck

The per-mile fee for the moving truck

How much Charlie paid for the truck

The number of miles he drove

45.

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y=3x+10
What does the y-intercept of the graph of this equation represent?

The monthly fee

How much Rich pays per visit

The number of times Rich goes to the gym

The total cost at the end of the month

46.

Morrison is researching different gyms’ cost to join. Each gym charges an initial fee to join and a monthly fee.
Work It Out gym uses the equation y = 35x + 40 and
Make Me Fit gym uses the equation y = 45x + 40. Which statement best describes the change?

A. The initial fee is $10 higher.

B. The initial fee is $10 lower.

C. The monthly fee is $10 higher.

D. The monthly fee is $10 lower.

47.

Vroom Car Shop charges an hourly labor fee plus the cost of the parts to fix a vehicle.
Jenny’s equation to fix her car is y = 65x + 110.
Henry goes to the same shop and his equation is y = 65x + 80.
Which statement best describes the change?

The hourly rate was increased.

The hourly rate was decreased.

The cost of the parts was more expensive.

The cost of parts was less expensive.

48.

Karen is renting a studio apartment in Los Angeles, CA for $900 each month with a deposit of $1000. She is moving across the country to Atlanta, Georgia for a new job. Her new apartment is $850 per month and requires a $1000 deposit. Which statement best describes the change in the equations?

A. The slope increased by 50.

B. The slope decreased by 50.

C. The y intercept increased by 50.

D. The y intercept decreased by 50.

49.

Chris has $100 in his savings account and he adds $20 a month to the account.
The total amount can be represented by the linear function T = 20x + 100. His goal is to have a total of $300 in four more months.
What should he change in the function to reach this goal?

A) Change the amount he adds each month to $50.

B)Change the amount he adds each month to $40.

C)Change the y-intercept of the linear function to $20.

D)Change the y-intercept of the linear function to $50.

50.

The graph shows the population growth of a school from year to year. What is the rate of change in terms of number of students per year?

A) 2 students per year

B) 100 students per year

C) 200 students per year

D) 400 students per year

51.

Which of these represents point-slope form of a linear equation?

y - y₁ = m(x - x₁)

Ax + By = C

y = mx + b

52.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

y +7 = -1/4(x - 4)

y - 4 = -1/4(x + 7)

y+ 7 = 4(x - 4)

y - 7 = -1/4(x - 4)

53.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

y + 1 = -3(x - 2)

y + 1 = -3(x + 2)

y - 1 = 3(x - 1)

y + 2 = -3(x + 1)

54.

What is the equation of the line y + 5 = -3(x - 6) in slope intercept form?

y = -3x - 23

y = -3x -13

y = -3x - 11

y = -3x+13

55.

Find the slope of the line.

1/2

-1/2

-2

56.

What is the equation of the line y + 5 = -3(x - 6) in slope intercept form?

y = -3x - 23

y = -3x -13

y = -3x - 11

y = -3x+13

57.

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

y - 3 = 1(x - 2)

y + 3 = 1(x + 2)

y -3 = -1(x + 2)

y + 3 = -1(x - 2)

58.

Which of these represents slope-intercept form of a linear equation?

y - y₁ = m(x-x₁)

Ax + By = C

y = mx + b

y=kx

59.

What is the Y-Intercept in the following equation?

Y = 2x + 5

-5

-2

60.

Transform this point-slope equation into slope intercept form:

$y-2=3\left(x+4\right)$

(a)

61.

Choose the best explaination

Taylor can write 6 words per minute

Taylor can write 25 words per minute

Taylor can write 50 words per minute

Taylor can write 150 words per minute

62.

Which statement describes the rate of change of this function?

The price increases $2 per donut

The price increases $4 per donut

The price increases $13 per donut

The price increases $21 per donut

63.

What is the meaning of the y-intercept?

Phil'd Up Doughnuts has a $9 boxing fee

Phil'd Up Doughnuts has a $1 boxing fee

Phil'd Up Doughnuts has a $5 boxing fee

Phil'd Up Doughnuts has a $7 boxing fee

64.

Which statement best describes the y-intercept?

At 0 seconds there's 75,000 cubic meters of water released

At 0 seconds there's 0 cubic meters of water released

At 5 seconds there's 0 cubic meters of water released

At 5 seconds there's 75,000 cubic meters of water released

65.

The table shows the prices a photographer charges. What does the y-intercept represent?

There's an initial charge of $30

There's an initial charge of $15

There's a one time fee of $50

There's a one time fee of $25

66.

What is the solution?

(1, -1)

(-1, 1)

(0, -2)

(0, 1)

67.

What is the solution to the system?

(3, -1)

(2, -6)

No Solution

(6, -2)

68.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

yes

69.

How can you tell if a point is a solution to a system?

It makes the first equation true.

The (x,y) coordinates satisfy both equations

It makes logical sense

It makes neither equation negative

70.

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used?

1s + 3c = 38
2s + 3c = 52

3s + 1c = 38
3s + 2c = 52

s + c = 38
s + c = 52

3s + 3c = 38
1s + 2c = 52

71.

Solve for x and y
3x + 2y = 16
7x + y = 19

(-2,5)

(-2,-5)

(2,-5)

(2,5)

72.

What is the value of the y-coordinate of the solution to the system of equations
x-2y=1
x+4y=7

-1

73.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. How long does it take her to do a haircut?
3x + 2y = 315
2x + 4y = 450

45 minutes

90 minutes
2x + 4y = 315

60 minutes
3x + 4y = 450

30 minutes

74.

What are the solutions to the system of equations below?

7x-5y=38

2x+10y=-12

x = 4 and y = -2

x = 4 and y = 2

x = -4 and y = 2

x = -4 and y = -2

75.

What is the solution to the system of equations below?

2x+y=7

3x+2y=16

(2,5)

(2,11)

(-2,-11)

(-2,11)

76.

Solve using elimination.
4x + 8y = 20
-4x + 2y = -30

(-7,1)

(2,-5)

(-2,5)

(7,-1)

77.

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?

4y = 3x + 64

8y = x + 68

4y = 3x + 64

8y = x + 60

3x + 4y = 64

x + 8y = 68

3x + 4y = 64

x + 8y = 60

78.

What is the solution of the system of equations graphed?

(4, 2)

(0, 6)

(0, 3)

(2, 4)

79.

The solution is:

(4, 3)

(3, 4)

(-4, 3)

No solution

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Ch.1 Review

Total questions: 79

Worksheet time: 7hrs 39mins

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