Free Printable Review Unit 3 H. Algebra

1.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

2.

Consider the equation:
y=-x+4
Identify the slope and y-intercept.

a)

m=4, b=-x

b)

m=-x, b=4

c)

m=1, b=4

d)

m=-1, b=4

3.

In the equation, y = mx + b, the letter b is the ___________.

a)

y-intercept

b)

x-intercept

c)

slope

d)

rate of change

4.

What is the y-intercept.

a)

y-intercept is -3

b)

y-intercept -2

c)

y-intercept is 3

d)

y-intercept is -1

5.

Graph x+y=3

a)

A

b)

B

c)

C

d)

D

6.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

7.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

8.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

9.

Graph. y = 2/3x - 3

a)

a

b)

b

c)

c

d)

d

10.

Which equation best represents the line on the graph?

a)

y= 1/2x

b)

y= -1/2x

c)

y = 2x

d)

y = -2x

11.

Write the equation for the line.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

12.

Which graph represents $2x-5y=-10$

a)

b)

c)

d)

13.

Write in slope intercept form
5x - 3y = -9

a)

y = (5/3)x - 3

b)

y = (5/3)x + 9

c)

y = (5/3)x + 3

d)

y = (3/5)x + 3

14.

Write in slope-intercept form:
-3x + 4y = 12

a)

y = 3/4x + 3

b)

y = -3/4 x + 3

c)

y = -4x + 3

d)

y = 4x + 3

15.

Find the zero(s) of the function.

a)

x = -3

b)

x = 1

c)

x = {-3, 1}

d)

y = 1

16.

Find the zero(s) of the function.

a)

x = -3

b)

x = 3

c)

x = -12

d)

x = 12

17.

Find the zero(s) of the function.

a)

x = 10

b)

x = -10

c)

x = -8/5

d)

x = 8/5

18.

What is the x-intercept of the function?

a)

It doesn't have an x-intercept

b)

x = 1

c)

x = 4

d)

x = 0

19.

$f\left(x\right)$

is the same thing as ______.

a)

y

b)

x

c)

input

d)

an equation

20.

Translate the function notation into a coordinate point.

$f\left(-1\right)=5$

a)

$\left(-1,5\right)$

b)

$\left(1,5\right)$

c)

$\left(5,1\right)$

d)

$\left(5,-1\right)$

21.

Given the function
$f\left(x\right)=x+3$

Evaluate:

f\left(-2\right)

a)

$f\left(-2\right)=-1$

b)

$f\left(-2\right)=1$

c)

$f\left(-2\right)=5$

d)

$f\left(-2\right)=-5$

22.

Given:
$w\left(x\right)=-10x-5$

Evaluate:
$w\left(1\right)$

a)

$w\left(1\right)=-15$

b)

$w\left(1\right)=-5$

c)

$w\left(1\right)=5$

d)

$w\left(1\right)=15$

23.

Given the graph,

find:

f\left(4\right)

a)

$f\left(4\right)=3$

b)

$f\left(4\right)=1$

c)

$f\left(4\right)=2$

d)

$f\left(4\right)=0$

24.

Domain is the same as which of the following? *Check all that apply*

a)

Range

b)

Input

c)

y

d)

Independent Variable

e)

x-value

25.

Range is the same as which of the following? *Check all that apply*

a)

Input

b)

Output

c)

y-value

d)

Independent Variable

e)

Dependent Variable

26.

Find the slope of the line that passes through (10, -8) and (1, 12).

a)

20/9

b)

-20/9

c)

4/9

d)

9/4

27.

What type of slope does the following graph have?

a)

Postive

b)

Negative

c)

Zero Slope

d)

Undefined

28.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

29.

Find the rate of change of the table

a)

b)

c)

d)

30.

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

31.

Find the rate of change between the two points. Write your answer as a fraction in simplest form (no mixed numbers).

(19,3) & (20, 3)

(a)

32.

6 movie tickets cost $30.00. What is the cost per ticket (unit rate)?

What will you do to find the unit rate?

a)

multiply by 6 to get $180 per ticket

b)

divide by 6 to get $5 per ticket

c)

multiply by 30 to get $900 per ticket

d)

divide by 30 to get $1 per ticket

33.

If a dozen bagels cost $8.40, what is the cost per bagel? (1 dozen = 12 bagels)

a)

$0.84

b)

$0.42

c)

$0.70

d)

$0.07

34.

Ann’s Bakery bakes 450 loaves of bread in 3 days. Mark’s Bakery bakes 560 loaves of bread in 4 days. Which bakery bakes bread at the faster rate?

a)

Ann's Bakery is faster at 150 loaves in 1 day

b)

Mark's Baker is faster at 140 loaves in 1 day

c)

Ann's Bakery is faster at 90 loaves in 1 day

d)

Mark's Bakery is faster at 70 loaves per day.

35.

You go to the grocery store to buy dog food. The store has three sizes available:

A 20-lb bag for $23.44

An 8-lb bag for $9.88

A 40-lb bag for $49.00

Which size bag has the lowest cost per pound rounded to the nearest cent?

a)

The 8-lb bag

b)

The 20-lb bag

c)

The 40-lb bag

d)

I have a cat

36.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

37.

What is the first step in graphing the line of a slope - intercept form equation?

a)

Plot the x - int

b)

Plot the y - int

c)

Count the rise over run

d)

None of these

38.

What is the second step in graphing the line of a slope - intercept form equation?

a)

Plot the x - int

b)

Plot the y - int

c)

Count the rise over run

d)

none of these

39.

Write an equation of a line in slope-intercept form.

slope: 2, y-int: 4

a)

y = -4x - 2

b)

y = -2x - 4

c)

y = 4x + 2

d)

y = 2x + 4

40.

Write an equation of a line in slope-intercept form.

slope: -5/7, y-int: -2/3

a)

y = -(2/3)x - 5/7

b)

y = -(5/7)x - 2/3

c)

y = -(3/2)x - 7/5

d)

y = -(7/5)x - 2/3

41.

What is the slope-intercept form of the equation:

-8x+2y=4

a)

none

b)

y=2-4x

c)

y=4x+2

d)

y=4x-8y

42.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

43.

Graph y = -3

a)

A

b)

B

c)

C

d)

D

44.

Identify the common difference.
10, 20, 30, 40, ...

a)

5

b)

10

c)

15

d)

20

45.

Is the sequence arithmetic?

17, 9, 1, -7, ...

a)

Yes

b)

No

46.

Find a₂₀ in the arithmetic sequence: (Hint: Find explicit formula first)

5, 12, 19, 26...

a)

145

b)

144

c)

142

d)

138

47.

Identify the next two terms of the sequence:

4,7,10,13,...

a)

16 and 19

b)

15 and 19

c)

16 and 18

d)

15 and 18

48.

Which sequence is NOT an arithmetic sequence?

a)

-7, -13, -19, -25,...

b)

-10, -6, -2, 2,..

c)

6, 8, 10, 12,...

d)

3, 15, 75, 375,...

49.

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

a)

-216

b)

-148

c)

-146

d)

-150

50.

Find a₂₀ in the arithmetic sequence: 5, 12, 19, 26...

a)

145

b)

144

c)

142

d)

138

51.

A sequence is shown below:

2, 5, 8, 11, ...

Which explicit formula can be used to model the sequence?

a)

a_n= 3 - 11(n - 1)

b)

a_n= 2 + 3(n - 1)

c)

a_n= 11 - 3(n - 1)

d)

a_n= 3 + 2(n - 1)

52.

Select the explicit rule that represents the sequence.

a)

6 + 5(n - 1)

b)

4 + 6(n - 1)

c)

6 - 4(n - 1)

53.

Find the first term of the given sequence:
a₁₄=68
d=3

a)

14

b)

20

c)

26

d)

29

54.

a)

A

b)

B

c)

C

d)

D

55.

Which term of the sequence is -144?

12, 10, 8, 6, ...

a)

78

b)

79

c)

80

d)

81

56.

Which term of the sequence is 333?

-10, -3, 4, 11, ...

a)

50

b)

51

c)

52

d)

53

57.

Which term of the sequence is -2?

82, 76, 70, 64, ...

a)

13

b)

14

c)

15

d)

16

58.

What is the value of $\lfloor7.6\rfloor$

a)

7

b)

6

c)

8

d)

7.6

59.

What is the value of $\lfloor5\rfloor$

a)

4

b)

5

c)

6

d)

undefined

60.

What is g(7) if:

a)

-17

b)

-13

c)

13

d)

17

61.

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

a)

-3

b)

-1

c)

1

d)

3

62.

Name that function

a)

logistic

b)

identity

c)

natural logarithm

d)

greatest integer

63.

The function f(x) = -2| x + 5 | - 2 is known as...

a)

Greatest integer (step) function

b)

Piecewise function

c)

Constant function

d)

Absolute value funtion

64.

Which graph matches:

-x+4 if x<2

2x-6 if x>=2

a)

A

b)

B

c)

C

d)

D

65.

What is m(-3) if:

a)

-3

b)

0.5

c)

3

d)

-3.5

66.

Find f(0)

a)

-3

b)

18

c)

4

d)

0

67.

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

68.

Evaluate $f\left(x\right)=\left[\left[x+10\right]\right]$ when $x=\frac{7}{2}$

a)

$13.5$

b)

$14.5$

c)

$13$

d)

$14$

69.

Evaluate $f\left(x\right)=-7\left[\left[x+4\right]\right]+6$ when $x=6.4$

a)

$-73$

b)

$-64$

c)

$85$

d)

$78.8$

70.

Evaluate $f\left(x\right)=2\left[\left[x+3\right]\right]+5$ when $x=-1.5$

a)

$-7$

b)

$-3.5$

c)

$7$

d)

$3.5$

71.

How much does it cost to rent the Karaoke machine for 3 days?

a)

$50

b)

$100

c)

$150

d)

$175

72.

How much would postage cost for a letter that weighs 2.1 ounces?

a)

41 cents

b)

39 cents

c)

45 cents

d)

43 cents

73.

opens down and moved up 1

a)

y = -|x| + 1

b)

y = -|x| + 4

c)

y = |x + 4|

d)

y = |x - 1| + 5

74.

moved right 2 and up 1

a)

y = -|x| + 1

b)

y = |x - 2| + 1

c)

y = |x + 2| - 1

d)

y = -2|x - 3|

75.

faces down and moved up 2

a)

y = -|x| + 4

b)

y = |x - 2| + 1

c)

y = -|x| + 2

d)

y = -2|x - 3|

76.

moved up 4

a)

y = -|x| - 3

b)

y = |x| + 4

c)

y = -|x| + 1

d)

y = 1/2|x + 6| + 8

77.

Narrower, faces down and moved left 3

a)

y = |x + 7|

b)

y = |x + 2| - 1

c)

y = -7|x + 3|

d)

y = -|x| + 4

78.

Which function is graphed?

a)

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

b)

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

c)

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

d)

f(x) = -2|x - 4|

79.

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

80.

Which function is graphed?

a)

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

b)

f(x) = -|x - 1| + 4

c)

f(x) = -5|x + 1| + 4

d)

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

81.

What is the vertex of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

(-infinity, infinity)

d)

[4, infinity)

82.

What is the vertex of the following function?
y= -4|x+2|+5

a)

(-4,2)

b)

(-2,5)

c)

(-4,-2)

d)

(2,5)

83.

Which graph matches the function:
y = -2|x - 3| + 5

a)

A

b)

B

c)

C

d)

D

84.

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

a)

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

b)

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

c)

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

d)

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

85.

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

a)

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

b)

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

c)

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

d)

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

86.

The function
^{f(t) = -2|t - 15| + 50}is graphed and represents weekly sales of shoes, f(t) in $1000s, where t is weeks. What is the domain for this graph?

a)

0 ≤ t ≤ 40

b)

0 ≤ t ≤ ∞

c)

20 ≤ t ≤ 40

d)

-∞ ≤ t ≤ 50

87.

What are the values of A, H and K in the equation below?

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

a)

A = 4
H = 2

K = -3

b)

A = 4
H = -2
K = -3

c)

A = - 3
H = 4
K = 2

d)

A = -3
H = -2
K = 4

88.

What is the domain of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

(-infinity, infinity)

d)

[4, infinity)

89.

What is the range of the absolute value function?

a)

(-infinity, infinity)

b)

[3, infinity)

c)

[0, infinity)

d)

(-infinity, 3]

Review Unit 3 H. Algebra

Total questions: 89

Worksheet time: 5hrs 14mins

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