Free Printable Algebra 1 Chapter 5 Review

1.

Describe the transformation of the equation below from the absolute value parent function.

$y=\left|x-4\right|$

a)

Left 4

b)

Right 4

c)

Up 4

d)

Down 4

2.

Choose the equation that best matches the graphed function.

a)

$f(x)=|x|+2$

b)

$f(x)=|x|-2$

c)

$f(x)=-|x|$

d)

$f(x)=-|x|+2$

3.

What is the vertex of the following function? $y=|x-3|+1$

a)

$(2,3)$

b)

$(-3,1)$

c)

$(2,-3)$

d)

$(3,1)$

4.

Describe the transformation of the equation below from the absolute value parent function.

$y=|x|+10$

a)

Shifted left 10

b)

Shifted right 10

c)

Shifted up 10

d)

Shifted down 10

5.

What are the x-intercept of the function

$f\left(x\right)=-2\left|x+4\right|+8$

a)

{-8,0}

b)

{0}

c)

{-4,8}

d)

None

6.

What is the y-intercept of the function

$f\left(x\right)=\left|x+3\right|-7$

a)

-4

b)

0

c)

3

d)

7

7.

What is the domain of the function

$g\left(x\right)=\left|x-2\right|+3$

a)

All Real Numbers

b)

$x\ge-2$

c)

$x<2$

d)

$\left[0,\infty\right)$

8.

What is the range of the function

$y=\left|x\right|+2$

a)

$y\ge2$

b)

All Real Numbers

c)

$y>0$

d)

$y\le-2$

9.

What is the transformation of $y=-\left|x\right|$

a)

Reflection

b)

Shifts Up

c)

Shifts Left

d)

Rotates 90 degrees

10.

What is the vertex of the function

$y=\left|x+16\right|-11$

a)

(-16,-11)

b)

(16,11)

c)

(16,-11)

d)

(-16,11)

11.

Choose the correct equation for the graph.

a)

$y=\left|x+2\right|$

b)

$y=\left|x-2\right|$

c)

$y=\left|x\right|+2$

d)

$y=\left|x\right|-2$

12.

Choose the correct equation for the graph.

a)

$y=\left|x+2\right|$

b)

$y=\left|x-2\right|$

c)

$y=\left|x\right|+2$

d)

$y=\left|x\right|-2$

13.

Choose the correct equation for the graph.

a)

$y=\left|x+2\right|$

b)

$y=\left|x-2\right|$

c)

$y=\left|x\right|+2$

d)

$y=\left|x\right|-2$

14.

Choose the correct equation for the graph.

a)

$y=\left|x+2\right|$

b)

$y=\left|x-2\right|$

c)

$y=\left|x\right|+2$

d)

$y=\left|x\right|-2$

15.

Choose the correct equation for the graph.

a)

$y=\left|x+3\right|-4$

b)

$y=\left|x-3\right|-4$

c)

$y=\left|x+3\right|+4$

d)

$y=\left|x-3\right|+4$

16.

Choose the correct equation for the graph.

a)

$y=\left|x-6\right|-3$

b)

$y=\left|x-6\right|+3$

c)

$y=\left|x+6\right|+3$

d)

$y=\left|x+6\right|-3$

17.

What is the vertex of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

(-infinity, infinity)

d)

[4, infinity)

18.

What is the domain of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

(-infinity, infinity)

d)

[4, infinity)

19.

Describe the transformation from the Absolute Value Parent Function.

a)

Shift up 4 units

b)

Shift down 4 units

c)

Shift left 4 units

d)

Shift right 4 units

20.

Which function is graphed?

a)

f(x) = 2|x - 5|

b)

f(x) = |x - 5|

c)

f(x) = |x - 5| + 5

d)

f(x) = |x| + 5

21.

What is the equation of the graph below? You can click the picture to zoom in!

a)

f(x) = I x + 2 I

b)

f(x) = I x I + 2

c)

f(x) = I x I - 2

d)

f(x) = I x - 2 I

22.

y = |x - 3| makes the graph slide . . .

a)

left 3

b)

right 3

c)

up 3

d)

down 3

23.

y = |x| - 7 makes the graph slide . . .

a)

left 7

b)

right 7

c)

up 7

d)

down 7

24.

Describe the transformation of the equation below from the absolute value parent function.

$y=\left|x\right|+3$

a)

Left 3

b)

Right 3

c)

Up 3

d)

Down 3

25.

The absolute value of a number ≥ 0

a)

Is always less than the original number

b)

Is always the same as the original number

c)

Is always the opposite of the original number

26.

The absolute value of a number < 0

a)

Is always less than the original number

b)

Is always the same as the original number

c)

Is always the opposite of the original number

27.

The Parent Function for the Absolute Value Function

a)

f(x) = |x|

b)

f(x) = $x^2$

c)

f(x) = x

d)

f(x) = $b^x$

28.

The Parent Function for the Linear Function

a)

f(x) = |x|

b)

f(x) = $x^2$

c)

f(x) = x

d)

f(x) = $b^x$

29.

The domain of the function f(x)=x is the set of all real numbers.

The domain of the function f(x)=|x| is

a)

The set of real numbers > 0

b)

The set of real numbers ≥ 0

c)

The set of real numbers ≤ 0

d)

The set of ALL real numbers

30.

The range of the function f(x)=x is the set of all real numbers.

The domain of the function f(x)=|x| is

a)

The set of real numbers > 0

b)

The set of real numbers ≥ 0

c)

The set of real numbers ≤ 0

d)

The set of ALL real numbers

31.

For all values of x, f(x)=|x| ________ f(x)=|−x|

a)

= (Equals)

b)

≠ (Does not equal)

32.

Determine the transformation

a)

left 3, up 2

b)

right 3, up 2

c)

left 3, down 2

d)

right 3, down 2

33.

Determine the transformation

a)

down 2

b)

flip, down 2

c)

flip, left 2

d)

left 2

34.

Determine the vertex for each absolute value function

a)

(-3, -1)

b)

(-3, 1)

c)

(3, -1)

d)

(3, 1)

35.

Describe the transformation: f(x) = |x|- 2

a)

left 2

b)

right 2

c)

down 2

d)

up 2

36.

Describe the transformation: (x - 2)²+ 4

a)

right 2, up 4

b)

left 2, up 4

c)

right 2, down 4

d)

left 2, down 4

37.

Describe the transformation: f(x) = 2|x - 1|

a)

vertical stretch, down 1

b)

vertical compression, down 1

c)

vertical stretch, left 1

d)

vertical stretch, right 1

38.

Describe the transformation: f(x) = - ¾ |x|

a)

reflection, vertical stretch

b)

reflection, vertical compression

c)

left 3, down 4

d)

reflection, up ¾

39.

Describe the transformation: f(x) = - (x - 2)²- 5

a)

right 2, down 5

b)

left 2, down 5

c)

reflection, right 2, down 5

d)

reflection, left 5, right 2

40.

What is the equation of the absolute value function?

a)

f(x)= |x+4|

b)

f(x)= |x-4|

c)

f(x)= |x| + 4

d)

f(x)= |x| - 4

41.

y = |x| - 7 makes the graph slide . . .

a)

left 7

b)

right 7

c)

up 7

d)

down 7

42.

Which function defines the graph?

a)

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

b)

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

c)

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

d)

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

43.

What is the equation of the graph below?

a)

f(x) = I x + 2 I

b)

f(x) = I x I + 2

c)

f(x) = I x I - 2

d)

f(x) = I x - 2 I

44.

Which graph represents the parent function of an Absolute Value?

a)

Black

b)

Blue

c)

Orange

d)

Red

45.

f(x) = −|x+4|

a)

A

b)

B

c)

C

d)

D

46.

Choose the correct equation for the graph.

a)

$y=\left|x-6\right|-3$

b)

$y=\left|x-6\right|+3$

c)

$y=\left|x+6\right|+3$

d)

$y=\left|x+6\right|-3$

47.

Determine what type of function the following table is:

a)

Linear

b)

Quadratic

c)

Exponential

d)

Not a function

48.

Determine what type of function the following table is:

a)

Linear

b)

Quadratic

c)

Exponential

d)

Not a function

49.

$y=\left|3x\right|+2$

a)

Vertical Stretch

b)

Vertical Compression

c)

Horizontal Stretch

d)

Horizontal Compression

50.

$y=\left(\frac{1}{3}x\right)^2$

a)

Vertical Stretch

b)

Vertical Compression

c)

Horizontal Stretch

d)

Horizontal Compression

51.

$y=3\left|x-2\right|$

a)

Vertical Stretch

b)

Vertical Compression

c)

Horizontal Stretch

d)

Horizontal Compression

52.

The blue is the parent function. What transformation does the red parabola show?

a)

Stretch

b)

Compression

c)

Reflection and stretch

d)

Reflection and compression

53.

The blue is the parent function. What transformation does the green show?

a)

Reflection and stretch

b)

Reflection and compression

c)

Compression

d)

Stretch

54.

The dotted parabola is the parent graph. What transformation does the solid line show?

a)

Stretch

b)

Compression

c)

Reflection and stretch

d)

Reflection and compression

55.

Which equation is a quadratic function reflected over the x-axis and shifted up 2.

a)

y = x² + 2

b)

y = -x² + 2

c)

y = x² - 2

d)

y = -(x + 2)²

56.

What does the equation

g\left(x\right)\ =\ -f\left(x+2\right)-1

do to the graph of f(x)? Select all that apply

a)

Vertical shift up

b)

Vertical shift down

c)

Horizontal shift left

d)

Horizontal shift right

e)

Reflection across the x-axis

57.

What is g(7) if:

a)

-17

b)

-13

c)

13

d)

17

58.

What is f(-2)?

a)

4

b)

1

c)

1

d)

DNE

59.

Find f(-2)

a)

-3

b)

6

c)

8

d)

-6

60.

Find f(0)

a)

-3

b)

18

c)

4

d)

0

61.

Match the graph with the correct equation.

a)

b)

c)

d)

62.

Find h(5) using the equation.

a)

-25

b)

25

c)

3

d)

7

e)

undefined

63.

Evaluate the function when x = 6

a)

f(6) = -5

b)

f(6) = 4

c)

f(6) = 2

d)

f(6) = 7

64.

What is g(-2) if:

a)

-7

b)

7

c)

1

d)

-1

65.

What is g(4) if:

a)

-17

b)

-13

c)

13

d)

-5

66.

Find the value of $f\left(-8\right)$ .

a)

$21$

b)

$-8$

c)

$0$

d)

$9$

67.

Evaluate f(3)=

a)

-1

b)

-7

c)

4

d)

5

68.

Evaluate f(-3)=

a)

-1

b)

-7

c)

4

d)

5

69.

How many "pieces" are graphed in this function?

a)

1

b)

2

c)

3

d)

4

70.

If you're stopped at a red light, and there's no one around, do you just go?

a)

Yes

b)

No

71.

What was the difficulty level of this topic?

a)

Easy

b)

Average

c)

Difficult

d)

Impossible

72.

What is the domain interval for the green piece of this function?

a)

-2 < x ≤ 1

b)

-1 < x ≤ 0.5

c)

x > -2

d)

x ≤ 1

73.

Using the pictured graph, what is f(-3)?

a)

-3

b)

-1

c)

1

d)

3

74.

What is the value of f(0)?

a)

-2

b)

2

c)

4

d)

0

75.

Which piecewise function corresponds to this graph? (Take your time)

a)

f(x) = { x if x < 4; -x+1 if x ≥ 4

b)

f(x) = { x if x ≤ 4; -x+1 if x > 4

c)

f(x) = { -x+1 if x < 4; x if x ≥ 4

d)

f(x) = { -x+1 if x ≤ 4; x if x > 4

76.

Which graph matches:

-x+4 if x<2

2x-6 if x>=2

a)

A

b)

B

c)

C

d)

D

77.

Using the pictured graph, what is the domain of the red line?

a)

x<3

b)

-3≤x≤1

c)

x>1

d)

x≤-3

78.

Using the pictured graph, what is the equation of the blue line?

a)

$\frac{1}{2}x\ +3$

b)

$x$

c)

-1

d)

-x

79.

What are the domain restrictions for the middle piece of this function?

a)

x ≥ 1

b)

x ≥ 2

c)

2 ≤ x < 6

d)

1 ≤ x < 3

80.

Which piecewise function matches this graph?

a)

b)

c)

d)

Algebra 1 Chapter 5 Review

Total questions: 80

Worksheet time: 2hrs 20mins

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