Free Printable S1 Algebra Interim Review

1.

What is the cost of renting a car and driving it 40 miles?

a)

$50

b)

$42

c)

$38

d)

$27

2.

What is the y-intercept and what does it mean for the context of the problem?

a)

(0, 32). This means that the cost before renting the car is $32

b)

(10, 35). This means that at 10 miles driven, the cost is $35.

c)

(30,40). This means that the cost after 30 miles driven is $40

3.

What is the y-intercept and what does it mean for the context of the problem?

a)

(0, 0). This means that the cost before tax is $0.

b)

(10, 0). This means that the cost before tax is $10 and the cost after tax is $0.

c)

(6, 7.50). This means that the cost before tax is $6 and the cost after tax is $7.50

4.

How many days does it take for the plant to reach a height of 7 cm?

a)

5

b)

6

c)

7

d)

8

5.

What is the average rate of growth?

a)

2 cm/day

b)

2 days/cm

c)

1 cm/day

d)

1 day/cm

6.

What is the y-intercept and what does it mean for the context?

a)

(0, 1). The height of the plant was 1 cm. at the start

b)

(0, 0) The plant was 0 cm. tall at the start.

c)

(1, 9). The height reaches a peak of 9 cm.

7.

a)

F

b)

G

c)

H

d)

J

8.

a)

A

b)

B

c)

C

d)

D

9.

a)

A

b)

B

c)

C

d)

D

10.

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

11.

How much does it cost to have your lawn mowed for 2 hours?

a)

$16

b)

$17

c)

$18

d)

$19

12.

What is another word for "increase"

a)

rise

b)

fall

c)

decrease

d)

drop

13.

_{What is the y-intercept of the line?}

a)

(-1,0)

b)

(-1,-3)

c)

(1,1)

d)

(0-1)

14.

^{What is the x- intercept of the line?}

a)

(0,-1)

b)

(-2,0)

c)

(-1,0)

d)

(0,-2)

15.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

16.

Find the slope

a)

4/5

b)

5/4

c)

-5/4

d)

-4/5

17.

What is the name of this symbol?

<

a)

Less than

b)

Greater than

c)

Less than or equal to

d)

Greater than or equal to

18.

What is the name of this symbol?

>

a)

Less than

b)

Greater than

c)

Less than or equal to

d)

Greater than or equal to

19.

What is the name of this symbol?

≤

a)

Less than

b)

Greater than

c)

Less than or equal to

d)

Greater than or equal to

20.

What is the name of this symbol?

≥

a)

Less than

b)

Greater than

c)

Less than or equal to

d)

Greater than or equal to

21.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D: {-4, 0, 1, 2}
R:{-4, -3, 1}

c)

D: {0, 1, 2, 3, 4}
R:{1, -3, -4}

d)

D: {0, 1, 2, -4}
R: {1, -3, -4, 1}

22.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

23.

The cost of buying different amounts of blank DVDs is shown in the table below. What does the rate of change represent?

a)

Price per DVD

b)

Total price of DVDs purchased

c)

Total number of DVDs purchased

d)

Number of DVDs per price

24.

Jimmie runs a game at the Spring Time Carnival. What does the y-intercept represent?

a)

The number of prizes left per number of games played

b)

The number of prizes the carnival has before 0 games are played

c)

The number of games played before running out of prizes

d)

There were 125 prizes left when 20 games were played.

25.

a)

Function

b)

Not a Function

26.

Which of the graphs represents the linear inequality $y>\frac{1}{2}x+3$ ?

a)

b)

c)

d)

27.

Which of the graphs represents the linear inequality $y\le-x-4$ ?

a)

b)

c)

d)

28.

Which of the following linear inequalities represents the graph?

a)

$y\ge3x-5$

b)

$y\ge\frac{1}{3}x-5$

c)

$y\le-\frac{1}{3}x-5$

d)

$y>\frac{1}{3}x+5$

29.

Which of the following linear inequalities represents the graph?

a)

$y\ge3$

b)

$x\ge3$

c)

$y\le3$

d)

$y<3$

30.

Which of the following linear inequalities represents the graph?

a)

$x\ge2$

b)

$x\ge-2$

c)

$y\ge-2$

d)

$y>-2$

31.

Which of the following linear inequalities represents the graph?

a)

$y\ge3x$

b)

$y>3x$

c)

$y<3x$

d)

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

32.

Which of the following linear inequalities represents the graph?

a)

$y\ge\frac{1}{4}x$

b)

$y\le4x-2$

c)

$y<\frac{1}{4}x+2$

d)

$y\le\frac{1}{4}x+2$

33.

Which of the following linear inequalities represents the graph?

a)

$y>-\frac{4}{5}x-1$

b)

$y\le\frac{4}{5}x+1$

c)

$y<-\frac{4}{5}x-1$

d)

$y\le-\frac{4}{5}x+1$

34.

When graphing a linear inequality, < and > signs would require you to draw...

a)

a solid line

b)

a dotted line

35.

When graphing a linear inequality, $\le$ and $\ge$ signs would require you to draw...

a)

a solid line

b)

a dotted line

36.

How can I tell if the graph of an inequality will have a solid line?

a)

It has just an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

37.

Do I need to flip my sign?
2x -3y ≥ 12

a)

Yes

b)

No

38.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

39.

Are the points on the line part of the solution set or not?

a)

Yes, they are part of the solution set

b)

No, they are NOT part of the solution set

40.

Select the graph for y ≥ -3.

a)

A

b)

B

c)

C

d)

D

41.

Select the graph for 5x+ y ≤ -1 .

a)

A

b)

B

c)

C

d)

D

42.

Select the correct graph for each inequality. y≤ -¾x -1

a)

A

b)

B

c)

C

d)

D

43.

Which of the following equations match the given graph?

a)

y < 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y ≤ 2/5x + 1

d)

y ≥ -2/5x - 1

44.

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

a)

x + 2y < 240

b)

x + 2y > 240

c)

x + 2y ≤ 240

d)

x + 2y ≥ 240

45.

Which point is not a solution?

a)

(1, 3)

b)

(-1, 2)

c)

(3, -2)

d)

(5, 0)

46.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

47.

Match, the solutions is the purple area

a)

y > -4/5x - 1 and y ≤ 2/3x + 3

b)

y ≥ -4/5x - 1 and y ≤ 2/3x + 3

c)

y < -4/5x - 1 and y < 2/3x + 3

d)

y < -4/5x - 1 and y ≥ 2/3x + 3

48.

Match

a)

y ≥ -x - 1 and y < x + 4

b)

y < -x - 1 and y > x + 4

c)

y > -x - 1 and y ≥ x + 4

d)

y < -x - 1 and y ≥ x + 4

49.

The members of a new band want to spend no more than $75 for at least 60 fliers to advertise their upcoming concert. The cost color fliers is $1.50 each, the cost of black and white fliers is $0.75 each. Which of the following combinations is a reasonable solution?

a)

26 color, 30 black and white

b)

30 color, 35 black and white

c)

60 color

d)

30 color, 50 black and white

50.

Graph each system of linear inequalities and describe the solutions.
y > x + 1
y < x - 4

a)

Between the graphs

b)

above the graph y > x + 1

c)

below the graph y < x - 4

d)

No Solution

51.

What is the RANGE of this graph?

a)

-7<x<5

b)

-7≤y<5

c)

-3<x<1

d)

-3≤y<1

52.

What is the range?

a)

-4 < x ≤ 5

b)

-4 ≤ x < 5

c)

-3 < y < 3

d)

-3 ≤ y ≤ 3

53.

What is the DOMAIN of this graph?

a)

-4 ≤ x ≤ 3

b)

-1 ≤ x ≤ 4

c)

4 < x < 3

d)

-1 < x < 4

54.

Which of the inequalities below best describes the domain of the function shown on the graph?

a)

-2 ≤ x ≤ 2

b)

-5 ≤ x ≤ -3

c)

-2 ≤ x ≤ 3

d)

-5 ≤ x ≤ 3

55.

What is the DOMAIN of this graph?

a)

x < -3

b)

x ≤ -3

c)

x > -3

d)

x ≥ -3

56.

What is the Range?

a)

y ≥ 6

b)

$y\le6$

c)

-10 ≤ y ≤ 6

d)

-10 ≤ x ≤ 6

57.

What is the Domain?

a)

y ≥ 6

b)

-10 ≤ y ≤ 6

c)

-10 ≤ x ≤ 6

d)

All real numbers

58.

What is the domain of the function graphed?

a)

x < 5

b)

x ≥ 1

c)

x > 0

d)

All real numbers

59.

What is the range of the graph?

a)

(-∞,∞)

b)

[-1,0]

c)

[-1,3]

d)

[3,∞)

60.

What is the range of the following graph?

a)

all real numbers

b)

all integers

c)

any real number greater than zero

d)

it can not be determined

61.

The coordinates of a point are (y, x)

a)

True

b)

False

62.

What is the DOMAIN of this function?

a)

-∞ ≤ x ≤ ∞

b)

-∞ ≤ x ≤ ∞

c)

∞ < x < ∞

d)

-∞ < x < ∞

63.

Simplify the following radical: √24

a)

2√6

b)

4√6

c)

2√12

d)

3√8

64.

Simplify the following radical: √150

a)

5√15

b)

5√2

c)

5√6

d)

15√5

65.

Simplify 4√75

a)

4√5

b)

12√5

c)

20√3

d)

7√3

66.

Simplify: $\sqrt[]{50}$

a)

$5\sqrt[]{2}$

b)

$5\sqrt[]{10}$

c)

$10\sqrt[]{5}$

d)

$2\sqrt[]{25}$

67.

Simplify: $\sqrt[]{28}$

a)

$4\sqrt[]{7}$

b)

$2\sqrt[]{7}$

c)

$2\sqrt[]{14}$

d)

$7\sqrt[]{4}$

68.

Simplify: $\sqrt[]{200}$

a)

$10\sqrt[]{2}$

b)

$100\sqrt[]{2}$

c)

$5\sqrt[]{40}$

d)

$10\sqrt[]{20}$

69.

Simplify: $\sqrt[]{144}$

(a)

70.

Simplify: $\sqrt[]{49}$

(a)

71.

Simplify: $\sqrt[]{81}$

(a)

72.

Simplify: $\sqrt[]{64}$

(a)

73.

Simplify:

$-3\sqrt[]{12}$

a)

$-6\sqrt[]{3}$

b)

$-3\sqrt[]{6}$

c)

$-12\sqrt[]{3}$

d)

$6\sqrt[]{3}$

74.

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

75.

Simplify: $3\sqrt[]{16}$

a)

12

b)

48

c)

$\sqrt[]{12}$

d)

$3\sqrt[]{4}$

76.

Simplify the following radical: $\sqrt[]{32}$

a)

3√2

b)

4√8

c)

16√2

d)

4√2

77.

Simplify: $2\sqrt[]{16}$

(a)

78.

a)

xy√y

b)

x²y²√y

c)

xy√xy

d)

2x2y√y

79.

a)

x³√x

b)

7x√x²

c)

x⁶√x

d)

√x

80.

a)

x⁴y⁴√y

b)

72xy

c)

xy√y

d)

x²y³√x²

81.

a)

y

b)

y²

c)

√y

d)

y√0

82.

a)

y²z¹⁰√xy

b)

20yz√xy

c)

xy²z¹⁰√y

d)

yz⁶√xy²z²

83.

a)

yz⁶⋅ ∛xy²z²

b)

yz⁶⋅ ∛xyz

c)

y²z¹⁰⋅ ∛xy²z²

d)

y²z¹⁰⋅ ∛xy

84.

a)

y∛x²

b)

xy∛y

c)

6y∛x

d)

y³∛x²

85.

Simplify $\sqrt{20}$

a)

$2\sqrt{10}$

b)

$4\sqrt{5}$

c)

$2\sqrt{5}$

86.

Simplify $\sqrt{50}$

a)

$2\sqrt{25}$

b)

$5\sqrt{2}$

c)

$25\sqrt{2}$

87.

Simplify $\sqrt{x^6y^{18}z^{30}}$

a)

$x^2y^6z^{10}$

b)

$x^3y^9z^{15}$

c)

$x^2y^9z^{20}$

88.

Simplify $\sqrt{36a^2b^8}$

a)

$6a^2b^4$

b)

$12a\sqrt{3b^8}$

c)

$6ab^4$

d)

$3a\sqrt{4b^4}$

89.

Simplify $\sqrt{64x^4z^6}$

a)

$4x^2z^3\sqrt{4}$

b)

$8xz^2$

c)

$8x^2z^3$

90.

Simplify $\sqrt{25x^5y^8}$

a)

$5x^3y^6$

b)

$5x^2y^8\sqrt{x}$

c)

$5x^4y^2\sqrt{x}$

d)

$5x^2y^4\sqrt{x}$

91.

Simplify $\sqrt{18x^6y^{10}z^{14}}$

a)

$3x^3y^5z^7\sqrt{2}$

b)

$9x^2y^8\sqrt{z^{12}}$

c)

$9x^3y^5z^7\sqrt{2}$

92.

Simplify $\sqrt{40a^3b^2c^{11}}$

a)

$8abc^5\sqrt{5ac}$

b)

$2a^2bc^5\sqrt{10a}$

c)

$2abc^5\sqrt{10ac}$

93.

a)

11√5

b)

11√10

c)

5√5

d)

12√10

94.

a)

-5√1

b)

8√2 + 13√3

c)

21√5

d)

20√5

95.

a)

13√3

b)

10√30

c)

13√6

d)

11√3

96.

a)

√18 + 11√2

b)

22√5

c)

11√20

d)

14√2

97.

a)

0

b)

√5

c)

1

d)

-2√15

98.

Add: 4√7 - 10 √7 + 7√7

a)

-6√7

b)

14√7

c)

-3√14

d)

√7

99.

$2\sqrt{27}+8\sqrt{3}+5\sqrt{8}$

a)

$24\sqrt{3}$

b)

$24\sqrt{3}+5\sqrt{8}$

c)

$14\sqrt{3}+10\sqrt{2}$

100.

$\sqrt{12}+5\sqrt{18}+2\sqrt{27}$

a)

$8\sqrt{3}+15\sqrt{2}$

b)

$8\sqrt{2}+15\sqrt{3}$

c)

$25\sqrt{2}$

101.

$2\sqrt{150}+3\sqrt{175}+4\sqrt{24}$

a)

$2\sqrt{6}+15\sqrt{7}$

b)

$18\sqrt{6}+15\sqrt{7}$

c)

$17\sqrt{13}$

102.

$-5\sqrt{2}+10\sqrt{8}+3\sqrt{18}$

a)

$24\sqrt{2}$

b)

$44\sqrt{2}$

c)

$62\sqrt{2}$

103.

a)

A

b)

B

c)

C

d)

D

104.

a)

A

b)

B

c)

C

d)

D

105.

Simplify the radical...
√20a²b⁴

a)

2ab²√5

b)

4ab²√5

c)

5ab²√2

d)

2a²b²√5

106.

√36x³y⁴

a)

6y²x√x

b)

3y²√2x

c)

3y√x

d)

6x√3y

107.

-3√20x⁴y²

a)

-6x²y√5

b)

6xy√5

c)

-3xy√2

d)

3x²y√5

108.

$\sqrt{192k^7q^8}$

a)

$8q^4\sqrt{3k^7}$

b)

$8k^3q^4\sqrt{3}$

c)

$8k^3q^4\sqrt{3k}$

d)

$8k^7q^8\sqrt{3k}$

109.

Simplify $\sqrt{108}$

a)

$8\sqrt{2}$

b)

$6\sqrt{3}$

c)

$10\sqrt{8}$

d)

$2\sqrt{27}$

110.

√96p⁹

a)

4p³

b)

4p⁴√p

c)

4p⁴√6p

d)

4p⁴√2p

111.

In simplest radical form,
√80 is equivalent to

a)

16√5

b)

2√20

c)

4√5

d)

8√5

112.

Simplify 4√75

a)

4√5

b)

12√5

c)

20√3

d)

7√3

113.

$\sqrt{4x^7y^5z^9}$ Simplify

a)

$2x^3y^2z^3\sqrt{xy}$

b)

$2z^3\sqrt{x^7y^5}$

c)

$2xyz\sqrt{x^6y^5z^8}$

d)

$2x^3y^2z^4\sqrt{xyz}$

114.

$\sqrt{216}$

a)

$6\sqrt{4}$

b)

$4\sqrt{6}$

c)

$36\sqrt{6}$

d)

$6\sqrt{6}$

115.

$\sqrt{16}=?$

a)

8

b)

2

c)

4

d)

32

116.

$9^2=18$ True or false?

a)

True

b)

False

117.

$3_{\sqrt{8}}$ (cube root of 8)

a)

2

b)

$\pm2$

c)

-2

d)

None of the above

118.

$\left(-6\right)^2$ = ?

a)

12

b)

-12

c)

-36

d)

36

119.

$\sqrt{\left(\frac{16}{81}\right)}\ \ =\ ?$

a)

$\frac{8}{27}$

b)

$\frac{8}{9}$

c)

$\frac{4}{9}$

d)

$\frac{4}{3}$

120.

$\sqrt{36}=$

a)

4

b)

9

c)

6

d)

12

121.

Cubing a number means multiplying a number by itself 3 times.

a)

True

b)

False

122.

What is the cube root of 125?

a)

5

b)

-5

c)

25

d)

-25

123.

Square roots are the opposite of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

124.

Which of the following in NOT a perfect square?

a)

49

b)

81

c)

111

d)

144

125.

What is 14x14?

a)

100

b)

269

c)

196

d)

144

126.

What is $\sqrt[]{64}$ ?

a)

64

b)

8

c)

32

d)

128

127.

What is $\sqrt[]{324}$ ?

a)

162

b)

18

c)

81

d)

9

128.

Evaluate. 7³

a)

313

b)

323

c)

333

d)

343

129.

∛125

a)

5

b)

4

c)

6

d)

7

130.

∛216

a)

6

b)

72

c)

108

d)

4

131.

$23^3$ means

a)

23 + 23 + 23

b)

23 x 3

c)

23 x 23 x 23

d)

3 + 23

132.

∛1000

a)

10

b)

9

c)

8

d)

11

133.

$\sqrt[3]{\frac{8}{27}}$

a)

$\frac{8}{27}$

b)

$\frac{2}{3}$

c)

$\frac{4}{13.5}$

d)

0.875

134.

To find the square root of a number, you must divide it by 2.

a)

True

b)

False

135.

(-2√7)(3√28)

a)

-6√14

b)

6√13

c)

-84

d)

-78

136.

√5 × √10

a)

50

b)

2√5

c)

5√2

d)

5√10

137.

√3 × √15 =

a)

3√5

b)

5√3

c)

2√7

d)

√17

138.

Simplify:
√10 ⋅ √45

a)

3√50

b)

8√2

c)

√450

d)

15√2

139.

Simplify:
6√2 ⋅5√14

a)

32√7

b)

60√7

c)

2√7

d)

30√7

140.

Simplify -2√10 ⋅ 3√20

a)

-60√2

b)

10√2

c)

√30

d)

-6√200

141.

(-2√7)(3√28)

a)

-6√14

b)

6√13

c)

-84

d)

-78

142.

Simplify:
√6 ⋅√6

a)

√36

b)

2√3

c)

12

d)

6

143.

Simplify √30 ⋅ √20

a)

√600

b)

5√2

c)

10√6

d)

2√150

144.

Simplify 5√6 ⋅ 6√18

a)

6√3

b)

66√3

c)

2√6

d)

180√3

145.

Simplify:

a)

4√30

b)

√4√30

c)

√2√30

d)

2√30

146.

Simplify

a)

40

b)

√14

c)

-10√10

d)

2√10

147.

Simplify:

a)

2√3√14

b)

4√42

c)

2√42

d)

4√3√14

148.

Simplify:

a)

A

b)

B

c)

C

d)

D

149.

a)

A

b)

B

c)

C

d)

D

150.

What is a rational number ?

a)

A rational number is a number that cannot be written as a fraction.

b)

A rational number is a number that can be written as a fraction.

c)

A rational number cannot be a repeating decimal.

151.

What type of number is π ?

a)

Rational

b)

Irrational

152.

The √98 falls between what two numbers on a number line?

a)

10 and 11

b)

11 and 12

c)

9 and 10

d)

90 and 100

153.

Which statement is true?

a)

The number ⅚ is irrational

b)

The number 0.345345345 is irrational

c)

The number (4π/16π) is irrational

d)

The number (√11)² is rational

154.

Which number is rational below?

a)

√20

b)

√64

c)

6π

d)

√7

155.

In between what two integers is the square root of 77?

a)

5 and 6

b)

6 and 7

c)

7 and 8

d)

8 and 9

156.

List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...

a)

-64 , 3.5 , √27 , 6.666...

b)

3.5 , √27 , 6.666..., -64

c)

3.5, -64, √27, 6.666...

d)

6.666, √27, -64, 3.5

157.

Which of the following is irrational?

a)

0.444444444

b)

-4/5

c)

π

d)

0.2

158.

Irrational numbers...

a)

reduce to π

b)

never end and never repeat

c)

can sometimes be perfect squares

d)

must be negative

159.

√4

a)

irrational

b)

rational

160.

4π

a)

rational

b)

irrational

161.

√7

a)

Rational

b)

Irrational

c)

real

d)

fake

162.

-17.5

a)

Rational

b)

Irrational

c)

real

d)

fake

163.

.141414141414...

a)

Rational

b)

Irrational

c)

real

d)

fake

164.

Approximate the following irrational number to the nearest hundredth without using a calculator.
The square root of 32

a)

5.33

b)

4.5

c)

8

d)

5.66

165.

What does this number belong to:
a terminating decimal

a)

Rational Number

b)

Irrational Number

166.

The √40 is between which two integers?

a)

7 & 8

b)

6 & 7

c)

5 & 6

d)

4 & 5

167.

169

a)

Is a perfect square.

b)

Is not a perfect square.

168.

A perfect square is which type of number?

a)

Rational

b)

Irrational

169.

A decimal that stops is which type of number? Example: 2.75

a)

Rational

b)

Irrational

S1 Algebra Interim Review

Total questions: 169

Worksheet time: 7hrs 1mins

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