Free Printable Algebra 1 Review

1.

-3(x - 3) + 6(x + 1)

a)

3x + 6

b)

3x + 4

c)

-3x + 16

d)

3x + 15

2.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

3.

Is this pattern linear?

a)

Linear

b)

Non-linear

4.

a)

Linear

b)

Non-Linear

5.

Genoah earned a grade of 80% on a math test that had 30 problems. How many problems on this test did the student answer correctly?

a)

17 problems

b)

24 problems

c)

20 problems

d)

18 problems

6.

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear. They sell the teddy bears for $12 a piece. Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?

a)

1500 + 8t = 12

b)

12 + 8t = 1500

c)

1500 + 8t = 12t

d)

8t = 12t + 1500

7.

Solve for x
l 2x−1 l = 9

a)

x = 5 and x =-4

b)

x = 5 and x = -5

c)

Only x = 5

d)

No Solution

8.

Solve for x
l x−6 l + 4= 10

a)

x = 12 and x = 0

b)

x = 3 and x = -3

c)

x = -12 and x = 0

d)

No Solution

9.

True or False: Is x = 4 a solution to |x + 5| = -9

a)

True

b)

False

10.

8x + 4y= 16

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

11.

a)

b = 3A - a - c

b)

b = -3A + a - c

c)

b = -3A - a - c

d)

b = 2A - c

12.

Is 5ab² a monomial?

a)

Yes

b)

No

13.

Is x² + 4ab a monomial?

a)

Yes

b)

No

14.

$\ Simplify\ \ \frac{x^3}{2x}\cdot\frac{^{x^2}}{5}$

a)

$\frac{x^4}{10}$

b)

$\frac{10}{x^4}$

15.

Simplify $2x\ \div\ \frac{x}{3}$

a)

3

b)

6

c)

9

d)

12

16.

Simplify $\frac{1}{8u^2}\cdot\frac{\left(-6u\right)}{u}$

a)

$\frac{3}{4n}$

b)

$\frac{\left(-3\right)}{4n}$

c)

$\frac{\left(-6n\right)}{3}$

d)

3

17.

(6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x⁷

d)

3x⁷

18.

Evaluate the expression using the quotient rule.

a)

3⁴

b)

1/3⁴

c)

3^-12

d)

3³²

19.

Simplify: $\left(2a^3b^4c^3\right)^2\cdot\left(4a^2bc^3\right)$

a)

$16a^8b^9c^9$

b)

$8a^8b^9c^9$

c)

$8a^6b^5c^6$

d)

$16a^5b^5c^6$

20.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

21.

Simplify

a)

-1/6

b)

1/6

c)

6

d)

-6

22.

Simplify

a)

-1/16

b)

1/16

c)

-16

d)

16

23.

Simplify

a)

7a⁵/b³

b)

b³/7a⁵

c)

7b³/a^-⁵

d)

7b³ /a⁵

24.

Simplify

a)

1/5x³

b)

1/x⁵

c)

-5/x³

d)

5/x³

25.

Simplify

a)

27/x⁶

b)

9/x⁶

c)

27x⁶

d)

27/x^-6

26.

Find the cube root.

$\sqrt[3]{729}$

(a)

27.

Find the cube root.

$\sqrt[3]{\frac{27}{512}}$

(a)

28.

Find the cube root.

$\sqrt[3]{-1000}$

(a)

29.

In 2³what is the base?

a)

2

b)

3

c)

2³

30.

Which of the following is NOT a perfect square?

a)

1

b)

4

c)

100

d)

8

31.

The square root of a negative number is negative.

a)

True

b)

False

32.

To find the cube root of a number, divide the radicand by 3.

a)

True

b)

False

33.

CHALLENGE.

a)

3

b)

62

c)

6

d)

2

34.

√128

a)

64√2

b)

16

c)

2√8

d)

8√2

35.

a)

A

b)

B

c)

C

d)

D

36.

a)

A

b)

B

c)

C

d)

D

37.

a)

A

b)

B

c)

C

d)

D

38.

a)

A

b)

B

c)

C

d)

D

39.

Rationalize the denominator.

$\frac{4}{\sqrt{5}}$

a)

$\frac{4\sqrt{5}}{5}$

b)

$\frac{\sqrt{5}}{4}$

c)

$\frac{\sqrt{6}}{3}$

d)

$\frac{5\sqrt{2}}{2}$

40.

a)

b)

c)

d)

41.

Multiply:
$\left(4+\sqrt{2}\right)\left(4-\sqrt{2}\right)$

a)

$16-\sqrt{2}$

b)

$4-\sqrt{2}$

c)

14

d)

18

42.

How would you write 4.3756 x 10⁴in standard form?

(a)

43.

How would you write 0.0005 in scientific notation?

a)

50 x 10^-5

b)

5 x 10^-4

c)

5 x 10³

d)

.5 x 10³

44.

How would you write -5.6 x 10^-3 in standard form?

(a)

45.

Write the answer in scientific notation.
7.3 x 10⁵ + 3.7 x 10⁵ =

a)

11.0 x 10⁵

b)

1.1 x 10¹⁰

c)

1.10 x 10¹¹

d)

1.1 x 10 ⁶

46.

a)

9.2 x 10³

b)

92 x 10⁵

c)

9.2 x 10⁶

47.

(2 x 10⁹)(4 x 10^-4)

a)

8 x 10¹³

b)

8 x 10³⁶

c)

8 x 10⁵

d)

8 x 10^-36

48.

Solve:
(2.2 x 10⁴) x (7.1x 10⁵)

a)

1.562 x 10¹⁰

b)

15.62 x 10⁹

c)

15.62 x 10²⁰

d)

1.562 x 10²⁰

49.

Evaluate. Leave your answer in scientific notation.
(3.4×10⁴)(2×10⁴)

a)

6.8×10⁴

b)

5.4×10⁴

c)

6.8×10⁸

d)

5.4×10⁸

50.

Does the given value make the inequality true? x + 9 > 21, when x = 15

a)

True

b)

Not True

51.

For the inequality -2x < 14, which is a solution?

a)

-6

b)

-7

c)

-8

d)

-9

52.

3 < -5n + 2n

a)

n < 1

b)

n > 1

c)

n < -1

d)

n > -1

53.

What inequality is shown in the picture?

a)

-8 < x < -2

b)

x > -8 or x < -2

c)

-8 < x > -2

d)

x < -8 or x > -2

54.

Solve: |x+5| < 9

a)

-14 < x < 4

b)

x > -14 or x < 4

c)

-4 < x < 4

d)

x > -4 or x < 14

55.

Solve 4|x - 1| < 24

a)

-7 < x < 7

b)

-5 < x < 7

c)

x < -5 or x > 7

d)

-5 < x < 5

56.

Write a linear equation in slope-intercept form give the point and slope. (-6, -11); slope = 1/2

a)

$y+6=\frac{1}{2}\left(x+6\right)$

b)

$x-2y=16$

c)

$y=\frac{1}{2}x-8$

d)

$y=\frac{1}{2}x-11$

57.

Write an equation that includes point (4, 5) and is parallel to

y=\frac{3}{4}x-5

a)

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

b)

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

c)

$y=\frac{3}{4}x+5$

d)

$y=-\frac{4}{3}x+5$

58.

Write an equation that includes the point (3, 5) and is perpendicular to

y=1

a)

$y=x+5$

b)

$y=3$

c)

$x\ =\ 3$

d)

$y=5$

59.

Starting at sunrise, the temperature rose 2.5⁰ every hour. After 8 hours, the temperature was 67⁰. Write an equation in point-slope form to model the temperature, y, after x hours after sunrise. If sunrise was at 6:00 AM, what is the temperature at noon?

a)

$y+67=2.5\left(x+8\right)$ ; the temperature was 67⁰ at noon

b)

$y-67=2.5\left(x-8\right)$ ; the temperature was 67⁰ at noon

c)

$y-67=2.5\left(x-8\right)$ ; the temperature was 77⁰ at noon

d)

$y-8=2.5\left(x-67\right)$ ; the temperature was 77⁰ at noon

60.

Which equations form a linear function?

a)

$y=2x-5$

b)

$y=x^2+2$

c)

$y=-x$

d)

$y=\frac{4}{x}$

61.

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

a)

y = 6; slope is -1

b)

x = 6; slope is zero

c)

y = 6; slope is 6

d)

x = 6; slope is undefined

62.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

63.

Bob has $150 in his savings account and saves $40 per month.

a)

y=150 + 40

b)

y=40x + 150

c)

y=150x + 40

64.

a)

(2, -2)

b)

(2, 2)

c)

(-2, 2)

d)

(-2, -2)

65.

a)

Infinitely Many Solutions

b)

No Solution

66.

What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21

a)

(3,-9)

b)

(-3,-9)

c)

(-3,9)

d)

(0,1)

67.

The solution (x, y) to a system of equations is the point where they...?

a)

Run off the graph

b)

Don't touch

c)

Intersect

d)

Exist

68.

What is the solution to the following system of equations?

a)

( 3 , -1 )

b)

( 7 , 7 )

c)

( -1 , 3 )

d)

( 1 , 1 )

69.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

a)

12 feet

b)

13.9 feet

c)

169 feet

d)

18 feet

70.

Your family wants to purchase a new laptop with a 17" widescreen. Since the 17 inches represents the diagonal measurement of the screen (upper corner to lower corner), you want to find out the actual dimensions of the laptop. When you measured the laptop at the store, the height was 10 inches, but you don't remember the width. Calculate the width of the laptop to the nearest tenth of an inch.

a)

7 inches

b)

10 inches

c)

19.7 inches

d)

13.7 inches

71.

a)

100°

b)

80°

c)

90°

d)

180°

72.

a)

100°

b)

80°

c)

90°

d)

180°

73.

What are vertical angles?

a)

Angles that are adjacent to each other

b)

Angles that add up to 180°

c)

Angles that are opposite of each other when lines intersect

d)

Angles that add up to 90°

74.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

75.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

76.

Which are pairs of vertical angles?

a)

∠COB & ∠COA

b)

∠AOD & ∠AOC

c)

∠COB & ∠AOD

d)

∠BOD & ∠AOD

77.

Find the value of x

a)

-5

b)

28

c)

19

d)

-3

78.

a)

2x-6=7x+4

b)

2x-6+7x+4=90

c)

2x-6+7x+4=180

d)

2x-6+7x+4=360

79.

Find m∠ADE.

a)

77°

b)

93°

c)

110°

d)

80°

80.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

81.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

82.

What is the volume formula for a cylinder?

a)

V = (4 ∕ 3)πr³

b)

V = (1 ∕ 3)πr²h

c)

V = πr²h

d)

V = (1 ∕ 3)Bh

83.

What is the surface area formula for a cone?

a)

SA = $\pi r\left(r+l\right)$

b)

SA = 2πrh + 2πr²

c)

SA = 4πr²

d)

SA = πr²

84.

What is the formula for V of a Pryamid?

a)

V = $A_bh$

b)

V = $\frac{1}{3}A_bh$

c)

V = $\frac{1}{3}P_bh$

d)

V = $A_B\ +\ h\$

85.

f(x) is the same thing as ______.

a)

y

b)

x

c)

input

d)

an equation

86.

What is x if
f(x) = -2?

a)

4

b)

0

c)

3

d)

8

87.

Given h(x) = 5 - 9x, find h(8).

a)

h(8) = -360

b)

h(8) = -67

88.

What is f(1)?

a)

1

b)

5

c)

0

d)

4

89.

For the function f(x) = -3(x-1) find f(0).

a)

0

b)

-3

c)

3

d)

-1

90.

p(x) = 3x + 4
q(x) = 2x²
Find p(q(x))

a)

10x²

b)

18x² + 4

c)

6x² + 4

91.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

92.

When f(x) = 2x and g(x) = x²+3 , find f(g(x)).

a)

x²+2x+3

b)

4x²+3

c)

2x²+3

d)

2x²+6

93.

5x(2x³+6)

a)

10x⁴+30x

b)

10x³+30x

c)

7x⁴+11x

94.

(2x - 1)(x + 2)

a)

2x² + 3x - 2

b)

2x² - 5x - 2

c)

2x² + 3x + 2

d)

2x² - 5x + 2

95.

(x - 4)(x - 6)

a)

x² -10x + 24

b)

x² - 10x - 24

c)

x² +10x + 24

d)

x² + 10x - 24

96.

Simplify the expression

(x - 3)²

a)

x² - 6x + 9

b)

x² + 9

c)

x² + 6x - 9

d)

x² + 6x + 9

97.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

98.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

99.

Simplify: (3x⁴ + 2x - 4x²) + (5x² - 8x + 6x⁴)

a)

9x⁴ + 10x + 9x²

b)

9x⁴ + x² - 6x

c)

3x⁴ + 9x² + 6x

d)

3x⁴ - 6x + x²

100.

Factor
k²+7x+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

101.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

102.

Factor
k² -2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

103.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

104.

Factor
4n²-17n-15

a)

(n-10)(6n+1)

b)

(4n-5)(n-3)

c)

(n-5)(4n-3)

d)

(n-5)(4n+3)

105.

Factor
r² -16r + 60

a)

(r - 15)(r + 4)

b)

(r - 6)(r + 10)

c)

(r - 6)(r - 10)

d)

(r +30)(r - 2)

106.

Factor:

2x² + 3x - 9

a)

2(x + 3)(x - 3)

b)

(2x - 3)²

c)

(x + 3)(2x - 3)

d)

(2x + 3)(x - 3)

107.

Factor the expression completely:

x^2-49

a)

Not Factorable

b)

$\left(x-7\right)\left(x+7\right)$

c)

$\left(x-7\right)^2$

d)

$\left(x+7\right)^2$

108.

Factor the expression completely:

16x^2-225

a)

Not Factorable

b)

$\left(4x-15\right)\left(4x+15\right)$

c)

$\left(8x-25\right)\left(2x+9\right)$

d)

$\left(2x+25\right)\left(8x-9\right)$

109.

Factor the expression completely:

-2x^2+18

a)

$\left(x+3\right)\left(x-3\right)$

b)

$-2\left(x+9\right)\left(x+1\right)$

c)

$\left(-2x+9\right)\left(x+2\right)$

d)

$-2\left(x+3\right)\left(x-3\right)$

110.

Factor the expression completely:

50x^2+8

a)

$2\left(25x^2+4\right)$

b)

$2\left(5x+2\right)\left(5x+2\right)$

c)

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

d)

$2\left(5x-2\right)\left(5x-2\right)$

111.

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

a)

4

b)

2

c)

8

d)

20

112.

Complete the square.
x² + 6x + ____

a)

x² + 6x + 9

b)

x² + 6x - 36

c)

x² + 6x + 36

d)

x² + 6x - 9

113.

What is one of the solutions to this equation?
(2x - 1)² = 49

a)

7

b)

-7

c)

-4

d)

-3

114.

Solve the equation by completing the square and then finding the roots.
x²+ 6x - 4 = 36

a)

x = -7, 7

b)

x = 4, -10

c)

x = -4 +- √7

d)

x = 10, -4

115.

a)

A

b)

B

c)

C

d)

D

Algebra 1 Review

Total questions: 115

Worksheet time: 6hrs 43mins

Similar Resources on Wayground