Free Printable Algebra Review

1.

A part of the exponential function is graphed on the grid.

Which inequality best represents the domain of the part shown?

a)

$x\ge-2$

b)

$y\ge4.5$

c)

$x\ge4.5$

d)

$y\ge-2$

2.

A system of equations is graphed on the grid.

Which system of equations does the graph represent?

a)

y = -x - 4
y = 2x - 2

b)

y = -x + 4
y = 2x - 4

c)

y = x - 4
y = -2x - 2

d)

y = x + 4
y = -2x - 4

3.

The graph of f(x) = x² was transformed to create the graph of g(x) = f(x) - 9. Which statement about the graphs is true?

a)

The graph of g is a reflection of the graph of f across the x-axis.

b)

The vertex of the graph of graph g is 9 units to the right of the vertex of the graph of f.

c)

The graph of g is a reflection of the graph of f across the y-axis.

d)

The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

4.

The expression $\left(x^{22}\right)\left(x^7\right)^3$ is equivalent to $x^p.$ What is the value of p?

a)

$32$

b)

$43$

c)

$34$ 462

5.

Which graph best represents $y=10\left(0.85\right)^x?$

a)

$F$

b)

$G$

c)

$H$

d)

$J$

6.

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

Which equation is best represented by this graph?

a)

$y+2=\frac{7}{5}\left(x+7\right)$

b)

$y-2=\frac{7}{5}\left(x-7\right)$

c)

$y+2=\frac{5}{7}\left(x+7\right)$

d)

$y-2=\frac{5}{7}\left(x-7\right)$

7.

Which graph best represents $y=-x^2+6x-1?$

a)

$A$

b)

$B$

c)

$C$

d)

$D$

8.

6+(4²-1)

a)

13

b)

21

c)

25

d)

9

9.

(4+3)x2³

a)

56

b)

28

c)

54

d)

45

10.

-5x-2x-1x-3

a)

-15

b)

-30

c)

30

d)

15

11.

What is the algebraic expression for "the sum of n and 9"?

a)

n - 9

b)

n + 9

c)

n/9

d)

9n

12.

take 10 away from s

a)

10 - s

b)

s + 10

c)

s - 10

d)

s/10

13.

What is a variable in Algebra?

a)

Something that changes

b)

An unknown value

c)

An equation

d)

A numeric expression

14.

Is 3 a solutions for 20 - y = 17

a)

Yes

b)

No

15.

Is 20 a solution for x ÷ 2 = 10

a)

Yes

b)

No

16.

Is 6 a solution for n x 7 = 56

a)

Yes

b)

No

17.

Is 13 a solution for r - 9 = 4

a)

Yes

b)

No

18.

When a number and a variable are stuck together with no symbols, you should ____________.

a)

add them

b)

subtract them

c)

multiply them

d)

put them into a salad

19.

If j = 4, what is 8j?

a)

84

b)

12

c)

2

d)

32

20.

18 + f = 30

f = ?

a)

12

b)

10

c)

48

d)

22

21.

g - 14 = 50

a)

36

b)

64

c)

74

d)

26

22.

Solve for x.

a)

x = 2

b)

x = 3

c)

x = 5

d)

x = 10

23.

Solve for x.

a)

x = 21

b)

x = 17

c)

x = 20

d)

x = 18

24.

Edward's pizza had 23 pepperonis. Then he picked off n pepperonis. Now there are 12 pepperonis left. What algebraic equation shows this situation?

a)

12n = 23

b)

n + 23 = 12

c)

23 + 12 = n

d)

23 - n = 12

25.

Which expression represents “9 less than the product of 5 and a number n”?

a)

$9\ -\ \left(5\ +\ n\right)$

b)

$9\ -\ 5n$

c)

$\left(5\ +\ n\right)\ -\ 9$

d)

$5n\ -\ 9$

26.

Which expression represents “add 7 and a number n, then multiply by 8 cubed”?

a)

$8^{3\ }\ \times\ \left(7\ +\ n\right)$

b)

$8^{3\ }+\ 7n$

c)

$8^{3\ }+\ 7\ +\ n$

d)

$8^{3\ }\ \times\ 7n$

27.

y = 2x + 3 is shown in which graph?

a)

b)

c)

d)

28.

Which line passes through the point (1,2)?

a)

y = 3x - 1

b)

y = x + 2

c)

y = x - 1

d)

y = 2x + 1

29.

which statement is true?

a)

the slope is 50/1 so he makes $1 every hour

b)

The slope is 1/50 so he makes $50 every hour.

c)

The slope is 1/50 so he makes $1 every hour

d)

the slope is 50/1 so he makes $50 an hour

30.

What is the y intercept?

a)

(5,0)

b)

(0,5)

c)

(4,0)

d)

(0,4)

31.

Solve for x: 3x - 4.5x - 3 = 5x + 94.5

a)

7.8

b)

-15

c)

15

d)

-7.8

32.

Plot (2,4) and (0, -2) and name the slope in simplified fraction form.

a)

$\frac{-3}{1}$

b)

$\frac{-6}{1}$

c)

$\frac{3}{1}$

d)

$\frac{1}{6}$

33.

Is (5, -1) a solution to the graph?

a)

yes

b)

no

34.

What is the equation of the line?

a)

y = x + 2

b)

$y\ =\ \frac{2}{3}x\ +\ 2$

c)

$y\ =\ \frac{-2}{3}x\ +\ 2$

d)

$y\ =\ \frac{2}{3}x\ +\ 4$

35.

Find x, if y = -1 in the linear equation y = 1/3 x - 4.

a)

9

b)

-9

c)

$-4\ \frac{1}{3}$

d)

$4\ \frac{1}{3}$

36.

How many gallons per minute of water was used?

a)

10 gallons per minute

b)

5 gallons per minute

c)

5 minutes per gallon

d)

10 minutes per gallon

37.

Which equation that shows: You bought $5 packs of pens and spent $3 on one eraser. Use x for "packs of pens".

a)

y = 5x + 3

b)

y = 3x + 5

c)

y= 5x

d)

y = 3x

38.

Solve using Order of Operations.

2³+ (50 - 23) =

a)

24

b)

34

c)

35

d)

33

39.

Solve using Order of Operations.

(5² - 13) + 11 =

a)

23

b)

6

c)

-5

d)

11

40.

If a=2 b=7, solve

(16 + a) - (b + 5) =

a)

11

b)

2

c)

6

d)

0

41.

What are the rules of this two step pattern?

50, 45, 47, 42, 44, 39, 41

a)

- 5, + 2

b)

-5, - 2

c)

-4, + 5

d)

- 5, x 2

42.

What are the rules of this two step pattern?

12, 18, 9, 15, 7.5

a)

+ 6, - 9

b)

+6, ÷ 2

c)

+ 6, -11

d)

÷ 2, + 5

43.

What is the next number in this one step pattern?

3, 15, 75, ?

a)

375

b)

250

c)

275

d)

125

44.

The function for a table is 2x + 5 = y. If the X is 3, what is the value of y?

a)

11

b)

28

c)

10

d)

1

45.

The function for a table is 5x - 2 = y. If the X is 4, what is the value of y?

a)

18

b)

52

c)

22

d)

20

46.

Solve for x

a)

x = 16

b)

x = 28

c)

x = 1/26

d)

x = 26

47.

Solve the proportion:

a)

4

b)

8

c)

14

d)

10

48.

Solve the equation for x:

a)

x = -1/4

b)

x = 1/3

c)

x = -3/4

d)

x = 3/4

49.

Solve the equation for x:

a)

17

b)

16

c)

15

d)

14

50.

Solve the equation for x:

a)

17

b)

16

c)

15

d)

14

51.

Do the ratios form a proportion?

a)

Yes, they form a proportion.

b)

No, they do not form a proportion.

52.

Do the ratios form a proportion?

a)

Yes, they form a proportion.

b)

No, they do not form a proportion.

53.

a)

x is less than or equal to 2

b)

x < 2

c)

2 < x

d)

x is greater than 2

54.

a)

x > 1

b)

1 ≥ x

c)

x is greater than or equal to 1

d)

x is less than or equal to 1

55.

s + 9 ≥ -25

a)

s ≥ -18

b)

s ≥ -34

c)

s ≤ 18

d)

s ≥ 34

56.

4x - 2 ≤ -22

a)

x ≥ -5

b)

x ≥ -6

c)

x ≤ -6

d)

x ≤ -5

57.

7b - 3 < 11

a)

b < 2

b)

84 > b

c)

b > 2

d)

b < 84

58.

6 - 2h > 30

a)

h < 24

b)

18 > h

c)

h > 12

d)

h < -12

59.

1 + 3r > 10

a)

r < 11

b)

r > 3

c)

27 > r

d)

r > 27

60.

To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Write an inequality that represents how many hours the student volunteers each week.

a)

X < 5

b)

X > 5

c)

X ≥ 5

d)

X ≤ 5

61.

A student must be at least 15 years old to obtain a driver’s permit.

a)

x > 15

b)

x < 15

c)

x ≤ 15

d)

x ≥ 15

62.

To order from the kids menu a person must be no more than 12 years old.

a)

x > 12

b)

x < 12

c)

x ≥ 12

d)

x ≤ 12

63.

Which of the following inequalities would require you to flip the sign when solving?

a)

2x < 3

b)

3x > - 9

c)

-4x ≥ 10

d)

5x ≤ 15

64.

Match the graph with the given solution.

a)

A

b)

B

c)

C

d)

D

65.

Solve and then match the correct solution & graph.

a)

A

b)

B

c)

C

d)

D

66.

A parking garage charges a $2.50 base fee plus an hourly rate of $4.00. If you have at most $12.50 to pay for parking, how long can you park?

a)

$3.40

b)

$2.50

c)

2.5 hours

d)

3.4 hours

67.

When do you "flip the inequalities sign"?

a)

When you add or subtract a negative

b)

When it's a 1-step problem

c)

When you multiply or divide a negative

d)

When it's a 2-step problem

68.

-3x ≤ 18

a)

x ≤ -6

b)

x ≤ 6

c)

x ≥ 6

d)

x ≥ -6

69.

-4x + 14 ≤ 54

a)

x ≥ -10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

70.

Match the graph with its inequality. hint: don't be tricked by the variable on the right.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

71.

x is less than 9

a)

x < 9

b)

x > 9

c)

x ≥ 9

d)

x ≤ 9

72.

Given the function f(x) = $3x-x^2$ , find f(-2)

a)

10

b)

-10

c)

2

d)

-2

73.

Solve the inequality. $-2\left(x-3\right)>36$

a)

$x=15$

b)

$x>-15$

c)

$x>15$

d)

$x<-15$

e)

No solution

74.

Solve the system of equations:

3x − y = 17

−x + y = −7

a)

4,-2

b)

-7,6

c)

2,5

d)

5,-2

e)

No solution

75.

Consider the sequence 4, 1, -2, -5. What is the 65th term of this sequence?

a)

-188

b)

-110

c)

-55

d)

-204

76.

Simplify: (2w⁻²)⁴

a)

2w⁶

b)

2/w^-8

c)

16/w⁸

d)

2w²

77.

$64^{\frac{1}{3}}$ Simplify

a)

262144

b)

8

c)

4

d)

105

78.

What is the equation for the line?

a)

y=-2x-2

b)

y=x+2

c)

y=3x-1

d)

y=2x+3

79.

What is the equation of the line that passes through the points: (2, 9) and (22,-1)

a)

y= -8x

b)

y= -2/3x + 3

c)

y= -1/2x +10

d)

y= -5x + 12

e)

No solution

80.

What is the inequality of the line shown?

a)

$y\le-3x-1$

b)

$y<-\frac{1}{3}x-1$

c)

$y<-3x-1$

d)

$y>-\frac{1}{3}x\ -1$

81.

Rewrite the following as a sum:

(x+3)²

a)

x²+ 9

b)

x²-6x -9

c)

x²+ 6

d)

x²+ 6x + 9

82.

Find the vertex of the following quadratic function:
$y=x^2+6x+5$

a)

(-5, 2)

b)

(-3,-4)

c)

(-1,-5)

d)

(3, 1/2)

83.

Find the zeros of the function using the quadratic formula:
$y=4x^2+14x+6$

a)

-3, -1/2

b)

3, 2/3

c)

-4, 2

d)

-5, -2/3

84.

Write the following quadratic in vertex form by completing the square: $x^2+12x-4$

a)

$\left(x+3\right)^2+4$

b)

$\left(x-6\right)^2+4$

c)

$\left(x-5\right)^2+4$

d)

$\left(x+6\right)^2-40$

85.

Which point is a solution to the system of inequalities?

y ≤ − x + 4 ,

y > x – 2

a)

0,0

b)

6,2

c)

1,8

d)

-5,-10

86.

Given this function. If the output was 21 what was the input?

a)

-4

b)

8

c)

12

d)

-6

87.

$\frac{14x^3y^2}{2x^4y}$ Simplify:

a)

$\frac{x^2y^2}{14y}$

b)

$14x^7y^9$

c)

$\frac{7y}{x}$

d)

Cannot be simplified

88.

Shirley starts with $85 in the bank and saves $15 every 2 months. What is the equation for the balance of the account?

a)

$y=85x+15$

b)

$y=15x+7.5$

c)

$y=15x-85$

d)

$y=7.5x+85$

89.

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

90.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

91.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

92.

Find the slope when given the following points.
(2, 5) (-3, 5)

a)

-2

b)

0

c)

Undefined

d)

4/3

93.

What's the slope of the line that passes through (2, -1) and (2, -5)

a)

1/2

b)

Zero

c)

3

d)

Undefined

94.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

95.

Find the slope from the table:

a)

-2/5

b)

5/-2

c)

5/2

d)

2/5

96.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

97.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

98.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

99.

What is the slope?

a)

$2/1 mile drive

b)

$1/2 miles driven

c)

2 miles driven/$1

d)

1 mile driven/$2

100.

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?

a)

200

b)

150

c)

300

d)

75

Algebra Review

Total questions: 100

Worksheet time: 12hrs 19mins

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