Free Printable All of math

1.

Simplify $\frac{-30a^7b^3}{-5a^2b^2}$

a)

$6a^5b$

b)

$-6a^5b$

c)

$25a^5b$

2.

Simplify $\frac{4^7}{4^5}$

a)

$1^2$

b)

$4^2$

3.

Simplify $4x^2\left(-2x^3y^5\right)$

a)

$-8x^6y^5$

b)

$8x^5y^5$

c)

$-8x^5y^5$

4.

Simplify $\left(x^2y^3\right)^4$
*Reminder: there are exponents inside AND outside the parentheses. You are raising a power to another power.

a)

$x^8y^{12}$

b)

$x^6y^7$

c)

$x^6y^{12}$

5.

Simplify $\frac{27x^3y^6}{9xy^2}$

a)

$3x^3y^4$

b)

$18x^2y^4$

c)

$3x^2y^4$

6.

Anything to the power of zero is equal to...

Example: $x^0\ \ \ \ or\ \ \ \ 4^0$

a)

0

b)

1

c)

x

7.

$\frac{20x^3}{4x^3}$

a)

$16x$

b)

$5x$

c)

$5$

8.

$\frac{12x^4}{3x}$

a)

$4x^3$

b)

$9x^4$

c)

$4x^4$

d)

$9x^3$

9.

Simplify $\left(5y^2\right)\left(-7xy^3\right)$

a)

$35xy^5$

b)

$-35xy^5$

c)

$-35xy^6$

10.

$\frac{x^8}{x^4}$ Simplify

a)

$x^4$

b)

$x^2$

c)

$1^4$

11.

$\left(4x^2\right)^3$ is the same as...
*Reminder: There are exponents inside AND outside the parentheses. You are raising a power to another power.

a)

$\left(4\cdot3\cdot x\cdot x\right)\left(4\cdot3\cdot x\cdot x\right)$

b)

$\left(4\cdot x\cdot x\cdot3\right)$

c)

$\left(4\cdot x\cdot x\right)\left(4\cdot x\cdot x\right)\left(4\cdot x\cdot x\right)$

12.

$Simplify\ \left(3x^4\right)\left(2x^3\right).\ \ \$

*Reminder:There are no exponents outside the parentheses.

a)

$5x^7$

b)

$6x^7$

c)

$6x^{12}$

13.

$y^4$ is the same as...

a)

$y\times4$

b)

$4y$

c)

$y\cdot y\cdot y\cdot y$

14.

In the expression $5^2$ what is the BASE?

a)

2

b)

5

15.

In the expression $x^5$ what is the BASE?

a)

x

b)

5

16.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

17.

n²⋅n⁴⋅n⁵

a)

n¹¹

b)

n⁴⁰

c)

n¹³

d)

n²²

18.

8⁷ ⁄ 8²

a)

8⁵

b)

8⁹

c)

8¹⁴

d)

1⁵

19.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

20.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

21.

a)

10x⁹

b)

24x¹⁴

c)

24x⁹

d)

10x¹⁴

22.

2n⁴ * 5n⁴

a)

7n⁴

b)

10n¹⁶

c)

10n⁸

d)

none of the above

23.

(d⁴)(d⁵)

a)

2d⁴

b)

d⁹

c)

d²

d)

2d

24.

(-x⁵)(y³)

a)

-x^8y

b)

-xy⁸

c)

-x⁵y³

d)

-(xy)⁸

25.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

26.

Power of a Product: (5xy)³

a)

5xy³

b)

5x³y³

c)

125x³y³

d)

125xy³

27.

Product raised to a Power: (3x)²

a)

9x²

b)

3x²

c)

6x

d)

5x

28.

Product raised to a power:

a)

9x⁷

b)

27x⁷

c)

9x¹²

d)

27x¹²

29.

Product raised to a power: (2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x⁹y⁷

d)

2x³y⁶

30.

Product raised to a power:

a)

2x⁶y¹²

b)

8x²y⁴

c)

8x⁶y¹²

d)

8x⁵y⁷

31.

Product raised to a power: (2ab)³

a)

8a³b³

b)

2ab³

c)

6a³b³

d)

8ab

32.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

33.

(x¹⁴)³

a)

x¹⁷

b)

x⁴²

c)

x¹¹

d)

3x¹⁴

34.

(k⁷)²

a)

k¹⁴

b)

k⁹

c)

7k²

d)

2k⁷

35.

(g⁵)⁸

a)

g¹³

b)

5g⁸

c)

g⁴⁰

d)

8g⁵

36.

(10³)⁶

a)

10¹⁸

b)

30⁶

c)

10⁹

d)

30³

37.

(a⁵)⁶

a)

30a

b)

a¹¹

c)

a³⁰

d)

11a

38.

(r⁴)⁶

a)

10r

b)

r¹⁰

c)

24r

d)

r²⁴

39.

(5²)³

a)

5⁶

b)

5⁵

c)

5⁷

d)

5⁸

40.

According to exponent rules, when we raise the power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

41.

Convert the following number to standard form:
8.15 x 10⁶

a)

815,000

b)

815,000,000

c)

8,150,000

d)

0.00000815

42.

Convert the following number to scientific notation:
12,000,000

a)

1.2 x 10⁷

b)

1.2 x 10⁶

c)

12 x 10⁷

43.

Place the following numbers in order from least to greatest:
7.8 x 10⁶, 5.1 x 10⁴,
1.25 x 10⁵, 4.09 x 10⁴

a)

4.09 x 10⁴,
1.25 x 10⁵,
5.1 x 10⁴,
7.8 x 10⁶,

b)

4.09 x 10⁴,
5.1 x 10⁴,
1.25 x 10⁵,
7.8 x 10⁶,

c)

1.25 x 10⁵,
4.09 x 10⁴,
5.1 x 10⁴,
7.8 x 10⁶,

44.

Write in Scientific Notation

432

a)

43.2

b)

4.3

c)

4.32 x 10²

d)

4.32 x 10^-2

45.

Write the following in Scientific Notation

.000789

a)

78.9

b)

7.89 x 10^-4

c)

7.89 x 10⁴

d)

79

46.

Simplify

a)

$\frac{5}{4}$

b)

$\frac{4}{5}$

c)

$-\frac{4}{5}$

d)

$-\frac{5}{4}$

47.

Simplify

a)

$-\frac{1}{27}$

b)

$\frac{1}{27}$

c)

$\frac{1}{9}$

d)

$-\frac{1}{9}$

48.

Simplify

a)

$\frac{a^3b^2}{4}$

b)

$\frac{4a^3}{b^2}$

c)

$\frac{4}{a^3b^2}$

d)

$\frac{1}{4a^3b^2}$

49.

Simplify

a)

-1

b)

$\frac{1}{32}$

c)

$-\frac{1}{32}$

d)

1

50.

Simplify

a)

$-\frac{1}{64}$

b)

$\frac{1}{16}$

c)

$\frac{64}{1}$

d)

$\frac{1}{64}$

51.

Simplify

a)

-1

b)

1

c)

$\frac{1}{7}$

d)

$-\frac{1}{7}$

52.

Simplify

a)

$-\frac{1}{125}$

b)

125

c)

-125

d)

$\frac{1}{125}$

53.

Simplify

a)

$\frac{7a^5}{b^3}$

b)

$\frac{b^3}{7a^5}$

c)

$\frac{7b^3}{a^{-5}}$

d)

$\frac{7b^3}{a^5}$

54.

Simplify

a)

$-\frac{1}{6}$

b)

$\frac{1}{6}$

c)

6

d)

-6

55.

Simplify

a)

$-\frac{1}{16}$

b)

$\frac{1}{16}$

c)

-16

d)

16

56.

$4^3$ equals

a)

64

b)

12

57.

Which number is not a perfect square?

a)

4

b)

9

c)

64

d)

50

58.

9²

a)

81

b)

100

c)

80

d)

72

59.

List in order from least to greatest.
5/4, 56%, 1.07, 4/5

a)

^{5/4, 56%, 1.07, 4/5}

b)

^{1.07, 4/5, 5/4, 56%}

c)

^{56%, 1.07, 4/5, 5/4}

d)

^{56%, 4/5, 1.07, 5/4}

60.

Order 3π, √ 10 , and 3.25 from greatest to least.

a)

√ 10, 3π, 3.25

b)

√ 10, 3.25, 3π

c)

3π, 3.25, √ 10

d)

3.25, √ 10, 3π

61.

Which number is the greatest?

a)

A

b)

B

c)

C

d)

D

e)

E

62.

Which number is the smallest?

a)

A

b)

B

c)

C

d)

D

e)

E

63.

Which is ordered least to greatest?

a)

1/4, -3/7, 1/2

b)

-3/7, 1/2, 1/4

c)

1/2, 1/4, -3/7

d)

-3/7, 1/4, 1/2

64.

Which set is in descending order?

a)

15% .45 9/10

b)

.45 15% 9/10

c)

9/10 15% .45

d)

9/10 .45 15%

65.

What is 37% as a decimal?

a)

37

b)

3.7

c)

.37

d)

.037

66.

Which of these values is the GREATEST?

a)

63/7

b)

8.99

c)

450%

d)

-22

67.

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

68.

Put in the symbol to make the statement true...
-17.5 _________ -√121

a)

>

b)

<

c)

=

69.

Which list of numbers is in order from least to greatest?

A. 5/8, 9/16, 5/12

B. 5/12, 9/16, 5/8

C. 9/16, 5/12, 5/8

D. 9/16, 5/8, 5/12

a)

A

b)

B

c)

C

d)

D

70.

is $\pi$ a rational or irrational number

a)

rational

b)

irrational

c)

rational and irrational

d)

niether

71.

√3

a)

rational

b)

irrational

72.

The √20 is between which two integers?

a)

2 & 3

b)

3 & 4

c)

4 & 5

d)

5 & 6

73.

Which is the best estimate for: √28

a)

5.6

b)

5.9

c)

5.3

d)

8

74.

Between what two integers is the square root of 44?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

75.

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

76.

Which is the best estimate for: √15

a)

5.6

b)

2.6

c)

3.9

d)

3.6

77.

What is the value of pi (π) correct to three decimal places?

a)

3.141

b)

3.140

c)

3.145

d)

3.142

78.

What is the square root of 2 correct to three decimal places?

a)

1.414

b)

1.416

c)

1.415

d)

1.413

79.

Approximately, what is the square root of 3 correct to two decimal places?

a)

1.70

b)

1.73

c)

1.72

d)

1.75

80.

What is the value of pi (π) correct to two decimal places?

a)

3.14

b)

1.62

c)

4.20

d)

2.71

81.

What is the square root of 2 correct to two decimal places?

a)

1.39

b)

1.40

c)

1.41

d)

1.42

82.

Approximately, what is the square root of 3 to the thousandths?

a)

1.7325

b)

1.732

c)

1.731

d)

1.7321

83.

What is the most accurate value of pi (π)?

a)

3.1416

b)

3.14

c)

22/7

d)

3.14159

84.

What is the square root of 2?

a)

2.23606798

b)

1.41421356

c)

1.73205081

d)

3.14159265

85.

List all the classifications of numbers that apply to the real number.
436

a)

Irrational

b)

Rational, Integer, Whole

c)

Natural, Whole, Integer, Rational

d)

Rational, Integer

86.

A repeating decimal and a terminating decimal which of the following in common.

a)

both are whole numbers

b)

both are irrational

c)

both are rational

d)

they have nothing in common

87.

True or False:
10/4 can be simplified to a whole number.

a)

True

b)

False

88.

True or False:
15/3 can be simplified to a whole number.

a)

True

b)

False

89.

Which of the following contains only rational numbers?

a)

2.5, .764567..., 1/2, √27

b)

π, √4, √16, 7.7

c)

6.7, 4.45, -3,

d)

5, -4.5, √13, √-9

90.

What are the subsets within the integer set?

a)

natural

b)

natural, whole

c)

rational

d)

irrational

91.

Given the following radical, decide if it is rational or irrational:
√121

a)

Rational

b)

Irrational

92.

The square root of 57 is ...

a)

rational

b)

irrational

93.

Is √2 Irrational?

a)

Yes

b)

No

94.

A repeating decimal is what type of number?

a)

Rational

b)

Irrational

95.

A non-terminating decimal is which type of number?

a)

Rational

b)

Irrational

96.

A fraction is which type of number?

a)

Rational

b)

Irrational

97.

Zero is a ___________.

a)

whole number

b)

natural number

c)

whole number, integer, and rational

d)

irrational

98.

Based on the chart, how many subsets are within the integers set?

a)

1

b)

2

c)

3

d)

none

99.

Is 8.27 rational or irrational?

a)

Rational

b)

Irrational

c)

Both

d)

None of the above

100.

Solve -√49

a)

6

b)

-6

c)

7

d)

-7

101.

Find the AREA of this figure.

a)

20 square feet

b)

20 cm

c)

25 square cm

d)

20 cm sq.

102.

Estimate the square root.

a)

4

b)

5

c)

6

d)

7

103.

Solve-√144

a)

12

b)

-12

c)

13

d)

-13

104.

The area of each square is 16 square units. Find the perimeter of the figure.

a)

16

b)

32

c)

40

d)

48

105.

Solve √-1.44

a)

All real solution

b)

No real solution

c)

-0.44

d)

-0.22

106.

The area of a square is 225. What is the length of the side?

a)

12

b)

13

c)

14

d)

15

107.

Estimate the square root.

a)

9

b)

10

c)

11

d)

12

108.

Solve ∛729

a)

6

b)

7

c)

8

d)

9

109.

Find the square root(s).

a)

±⅙

b)

-⅓

c)

-⅙

d)

none

110.

Write the repeating decimal as a fraction.

0.5959595959.........

a)

$\frac{595}{1000}$

b)

$\frac{595}{999}$

c)

$\frac{59}{100}$

d)

$\frac{59}{99}$

111.

Write the repeating decimal as a fraction.

0.444..........

a)

$\frac{444}{1000}$

b)

$\frac{222}{500}$

c)

$\frac{4}{10}$

d)

$\frac{4}{9}$

112.

Write the decimal as a fraction. Select the best answer.
5.20

a)

$5\frac{20}{100}$

b)

$5\frac{1}{5}$

c)

$5\frac{2}{100}$

d)

5.2

113.

Write the decimal as a fraction. Select the best answer.

-0.18

a)

$\frac{18}{100}$

b)

$\frac{9}{50}$

c)

$-\frac{9}{50}$

d)

$-\frac{18}{100}$

114.

Write the decimal as a fraction. Select the best answer.

0.8

a)

$\frac{8}{10}$

b)

$\frac{4}{5}$

c)

$\frac{0.8}{10}$

d)

$\frac{8}{100}$

115.

Write the rational number as a decimal. Round to the nearest hundredth.

$-9\frac{11}{30}$

a)

-9.36666666......

b)

-9.367

c)

-9.37

d)

-9.4

116.

Write the rational number as a decimal.
$4\frac{1}{8}$

a)

0.125

b)

4.125

c)

4125

d)

4.12

117.

Does $\frac{5}{33}$ become a repeating or terminating decimal?

a)

repeating

b)

terminating

118.

Write $\frac{5}{33}$ as a decimal.

a)

0.151515

b)

0.15151515...

c)

6.6

119.

Does $\frac{11}{16}$ become a repeating or a terminating decimal?

a)

repeating

b)

terminating

120.

Find the product. (5.3 x 10²) x (1.0 x 10²)

a)

5.3 x 10⁴

b)

5.3 x 10²

c)

6.3 x 10²

d)

5.5 x 10⁴

121.

(8.4 * 10⁶)/(2.1 * 10³)

a)

0.4 * 10⁴

b)

400 * 10^-3

c)

4 * 10³

d)

4 * 10²

122.

5 x 10¹²
------------
2 x 10⁶

a)

2.5 x 10²

b)

2.5 x 10⁶

c)

3 x 10²

d)

2.5 x 10¹⁸

123.

(5 x 10⁶)(5 x 10⁷)

a)

2.5 x 10¹²

b)

2.5 x 10¹⁴

c)

25 x 10¹²

d)

25 x 10¹³

124.

(2 x 10⁹)(4 x 10^-4)

a)

8 x 10¹³

b)

8 x 10³⁶

c)

8 x 10⁵

d)

8 x 10^-36

125.

$x\ +\ 11\ +\ 8x\ =\ 29$

a)

$x\ =0$

b)

$x\ =\ 1$

c)

$x\ =\ 2$

d)

$x\ =\ 3$

126.

4x + 10 = -26

a)

4

b)

-4

c)

-9

d)

9

127.

Solve the equation:
3(x - 1) = 2x + 9

a)

x = 12

b)

no solution

c)

x = 10

d)

x = 6

128.

3x + 9 + 4x = 2

a)

-1

b)

1

c)

no solution

d)

-7

129.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

130.

$24\ =\ 3\left(3x\ -7\right)$

a)

$x\ =\ -9$

b)

$x\ =\ 5$

c)

$x\ =3$

d)

$x\ =\ 7$

131.

Solve: 10x + 9 = 4x - 9

a)

3

b)

0

c)

-18

d)

-3

132.

Solve: 7x = 3x + 24

a)

10

b)

4

c)

6

d)

14

133.

Solve the following equation:

$2x+48=10x$

(a)

134.

Solve the following equation:

$4x+4=2x+36$

(a)

135.

Solve the following equation:

$2x+48=10x$

(a)

136.

Solve the following equation:

$5\left(2x+5\right)-5x=50$

(a)

137.

Solve the following equation:

$7\left(x-1\right)-3-8x=-9$

(a)

138.

Solve the following equation:

$-5\left(-1x-1\right)=15$

(a)

139.

Solve the following equation:

$2\left(x+4\right)=14$

(a)

140.

Solve the following equation:

$-1x+4x+6=9$

(a)

141.

A touchdown is worth seven points and a field goal is worth three points. The team scored three touchdowns and two field goals. What was the team's score?

a)

27

b)

5

c)

26

d)

20

142.

Michael planted five rows of flowers. Each row had six flowers. His dog ate eight of the flowers. How many flowers were left?
****HINT: Many times, gardens look like arrays.

a)

22

b)

19

c)

3

d)

17

143.

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?

a)

2 miles

b)

4 miles

c)

.50 mile

d)

-4 miles

144.

You play basketball in your school’s indoor stadium. You have two payment options. Option A is to buy a membership card and pay $2 each time you go to the gym. Option B is to pay $4 each time you go. A membership card costs $20. After how many times will the cost of Option A be equal to the cost of Option B?

a)

t=5 times

b)

t=7 times

c)

t=10 times

d)

t=13 times

145.

You ride an express bus from the center of town to your street. You have two payment options. Option A is to buy a monthly pass and pay $0.80 per ride. Option B is to pay $2.30 per ride. A monthly pass costs $30. After how many rides will the total costs of the two options be the same?

a)

r=20 rides

b)

r=10 rides

c)

r=15 rides

d)

r=25 rides

146.

Which inequality represents the following problem:
The Rug store installs carpet for $80 plus $9.50 per square yard of carpet. The Magic Carpet charges $120 for instillation and $7.50 per square yard of carpet. Find the number of square yards of carpet for The Rug Store charges more than The Magic Carpet.

a)

80+9.50x > 120+7.50x

b)

80+9.50x < 120+7.50x

c)

80x+9.50 > 120x+7.50

d)

80x+9.50 < 120x+7.50

147.

The school board is selling pizzas for
$7 each to raise money for new
uniforms. The supplier charges $100
plus $4 per pizza. How many pizzas
does the school board need to sell to
make a profit?
(HINT: Write the equation & then solve.)

a)

33

b)

100

c)

15

148.

Select the situation that could be modeled by: 8 + 4x = 12 + 3x.

a)

Winnie bought a family meal with 8 burgers and 4 fries. Wilson bought a family meal with 12 burgers and 3 fries. If they each paid the same amount, how much did they spend?

b)

Team A runs 8 drills that a 4 minutes each. Team B runs 12 drills that are 3 minutes each. Which team practices longer?

c)

The basketball team currently has 8 players and is growing by 4 players each month. The volleyball team has 12 players and is growing by 3 players each month. After how many months will they have the same number of players?

149.

Select the situation that could be modeled by: 120 + 25x = 45x.

a)

John bought a car radio for $120 and speakers for $25 each. Joe bought a radio for $45. They each paid the same. How much did they spend?

b)

George charges a flat fee of $120 to mow a lawn plus $25 an hour. Greg charges $45 a hour to mow a lawn. After how many hours do they make the same amount?

c)

Lisa pays $120 for each purse she buys plus an additional $25 to have them personalized. Lauren pays $45 for each purse she buys. How many purses must they buy for the amount they spent to be the same?

150.

14p - 8 = 22 + 20p

a)

-5

b)

5

c)

30

151.

-8n-4 = -2+n-6-8n

a)

- 4.5

b)

13

c)

4

d)

7

152.

-5-r = 1+2r

a)

21

b)

- 2

c)

- 4

d)

4

153.

What is the inverse operation of multiplication?

a)

multiplication

b)

addition

c)

subtraction

d)

division

154.

Solve for x.
10-5x+3x= 5 - x

a)

5

b)

-2.5

c)

-5

d)

10

155.

3y+4y+6=20

a)

y=2

b)

y=-2

c)

y=4

d)

y=3

156.

Solve the equation: 0.3x + 0.5 = 0.7x - 0.1

a)

0.4

b)

1.0

c)

0.6

157.

Solve the equation: 0.6x + 0.4 = 0.3x - 0.2

a)

-2

b)

0

c)

2

158.

Solve the equation: 0.25x - 0.1 = 0.15x + 0.2

a)

3

b)

1

c)

= -1

159.

Solve the equation: 0.2x + 0.3 = 0.8x - 0.1

a)

0.8

b)

0.67

c)

1.2

160.

Solve the equation: 0.5x + 3 = 2x - 1

(round your answer)

a)

2.67

b)

-2.13

c)

-4

161.

Which equation is consistent with the following table?

a)

y=x+1

b)

y=x+2

c)

y=x+3

d)

y=x+4

162.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

163.

What is the equation of the line in the graph?

a)

y = 3

b)

x = 3

c)

x = 0

164.

What is the equation of this line?

a)

0

b)

undefined

c)

y = -2

d)

x = -2

165.

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

166.

Which equation matches the table?

a)

y = x

b)

y = 5x

c)

y = x - 4

d)

y = x + 4

167.

Is (5,4) a solution to the equation y=x+1?

a)

yes because $5=4+1$

b)

no because $4\ne5+1$

168.

The solution to an equation with two variables is...

a)

a single number

b)

an ordered pair of numbers (x,y) that makes the equation true

c)

the answer to the equation

d)

an ordered pair (x,y) that makes a false statement

169.

Vertical or horizontal?
y = -6

a)

vertical

b)

horizontal

c)

neither

170.

Vertical or horizontal?
x = 4

a)

vertical

b)

horizontal

c)

neither

171.

Vertical or horizontal?
y = 2x + 3

a)

vertical

b)

horizontal

c)

neither

172.

What does a linear equation look like?

a)

straight line

b)

curved line

173.

On what axis would I expect to find point F?

a)

y-axis

b)

x-axis

174.

What are the coordinates of point H?

a)

(-4, 2)

b)

(4, -2)

c)

(-2, 4)

d)

(4, 4)

175.

In an ordered pair ( __ , __) which axis comes first?

a)

y

b)

x

176.

What is the ordered pair for point C?

a)

(2, -4)

b)

(2, 4)

c)

(4, 2)

d)

(4, -2)

177.

What is 'b' in this linear equation? y= 5x - 6

a)

6

b)

5

c)

y

d)

-6

178.

What is the equation of a line when m = -3 and b = 5?

a)

y = -3x + 5

b)

y = -3x - 5

c)

y = 5x + 3

d)

y = -5x - 3

179.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

180.

What is the slope of the line that passes through these two points (8, 4) and (5, 3)?

a)

3

b)

-1

c)

-1/3

d)

1/3

181.

What is the slope of the line that passes through these two points (0, -2) and (3, -4)?

a)

2/3

b)

-2/3

c)

3

d)

-2

182.

What is the equation by looking at this graph?

a)

y= x + 3

b)

y= -x + 2

c)

y= 2x + 2

d)

y= x + 2

183.

What is 'b' in this linear equation? y= 5x - 6

a)

6

b)

5

c)

y

d)

-6

184.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

185.

What is the slope of the line that passes through these two points (8, 4) and (5, 3)?

a)

3

b)

-1

c)

-1/3

d)

1/3

186.

What is the slope of the line that passes through these two points (0, -2) and (3, -4)?

a)

2/3

b)

-2/3

c)

3

d)

-2

187.

Write the direct variation equation for the table given.

a)

y = 1/3x

b)

y = 3x

c)

y = 1/2x

188.

Which of the given graphs is a direct variation?

a)

A

b)

B

c)

C

d)

D

189.

Is this a direct variation equation?

y=2x

a)

yes

b)

no

190.

In a direct variation, y=39 when x=3. Find the value of y when x=2.

a)

26

b)

3

c)

58.5

d)

2

191.

The amount of money earned on a job varies directly to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

a)

$2

b)

$308

c)

$1.57

d)

$265

192.

The interest received on a savings account varies directly with the amount deposited. Daniel received $55.35 in interest on $1230 he deposited. How much interest would Daniel have received if he had deposited $2000 into his account?

a)

34.04

b)

90.00

c)

1,285.35

d)

44,444.44

193.

Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?

a)

$394

b)

$440

c)

$472.80

d)

$512.20

194.

The amount of money earned on a job is directly proportional to the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?

a)

$2

b)

$308

c)

$1.57

d)

$265

195.

In a direct variation, y = 39 when x = 3.
Find the value of y when x = 2.

a)

26

b)

3

c)

58.5

d)

2

196.

Identify the slope of the line using one of the slope triangles.

a)

2

b)

1/2

c)

-2

d)

-1/2

197.

What is the slope of all horizontal lines?

a)

0

b)

undefined

c)

1

d)

-1

198.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

199.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

200.

Which statement is not true?

a)

A and B

b)

D only

c)

C only

d)

A, B and D

201.

The slope of line AC is equal to $\frac{AB}{BC}$ . What is the measure of the slope?

a)

2/3

b)

3/4

c)

3/2

d)

1/3

202.

Triangles ABC and DEF are similar. The slope of triangle ABC is...

a)

1 which is the same as the slope of triangle DEF.

b)

3/4 which is the slope of hypotenuse of triangle DEF.

c)

4/3 which is the slope of triangle DEF.

d)

-1 which is the same as the slope of triangle DEF.

203.

Identify the slope (CA) of triangle ABC.

a)

1/3

b)

3

c)

-3

d)

-1/3

204.

Identify the slope of EF in triangle DEF.

a)

1

b)

-1

c)

3

d)

-3

205.

Identify the slope (AC) of triangle ABC.

a)

2

b)

1/2

c)

-2

d)

-1/2

206.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

207.

What type of slope?

a)

negative

b)

positive

c)

zero slope

d)

downward slope

208.

Find the slope of the line.

a)

Undefined

b)

0

c)

1/1

d)

-1/1

209.

What is the rate of change?

a)

5

b)

1/5

c)

15

d)

10

210.

What is the rate of change?

a)

1/2

b)

2

c)

7

d)

3

211.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

212.

Find the slope of the line.

a)

1/4

b)

-1/4

c)

-4

d)

4

213.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

214.

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

a)

1/5

b)

-1/5

c)

5

d)

-5

215.

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

216.

The chart of a proportional relationship is given. The slope of the line is _________and the unit rate for the relationship is ____________________

(a)

217.

The graph of a proportional relationship is given. The slope of the line is _________and the unit rate for the relationship is ____________________

(a)

218.

The graph of a proportional relationship is given. The slope of the line is (a)

219.

The graph of a proportional relationship is given. The slope of the line is _________and the unit rate for the relationship is ____________________

(a)

220.

The graph of a proportional relationship is given. The slope of the line is _________and the unit rate for the relationship is ____________________

(a)

221.

What is the unit rate in this proportional relationship?

a)

60 miles/1 hour

b)

120 miles/ 2 hours

c)

1 mile/ 1 hour

222.

Ordered pair (0,0) is also known as the ___.

a)

y-axis

b)

x-axis

c)

origin

223.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

224.

What is the slope of this graph?

a)

$\frac{50}{1}$

b)

$\frac{1}{50}$

c)

$-\frac{1}{50}$

d)

$-\frac{50}{1}$

225.

What is the slope of this graph?

a)

$\frac{1}{5}$

b)

$\frac{5}{1}$

c)

- $\frac{1}{5}$

d)

- $\frac{5}{1}$

226.

$4x+1=5x$

a)

one solution

b)

no solution

c)

infinite solutions

227.

$3\left(x+4\right)=3\left(x-8\right)$

a)

one solution

b)

no solution

c)

infinite solutions

228.

$x+8=2x-1$

a)

one solution

b)

no solution

c)

infinite solutions

229.

$7x-4=7x+12$

a)

one solution

b)

no solution

c)

infinite solutions

230.

$x+9\ =\ x-9$

a)

one solution

b)

no solution

c)

infinite solutions

231.

$6x=5x$

a)

one solution

b)

no solution

c)

infinite solutions

232.

$4-2x=2x-4$

a)

one solution

b)

no solution

c)

infinite solutions

233.

$-2\left(x+1\right)=x-3x-2$

a)

one solution

b)

no solution

c)

infinite solutions

234.

$9-x=-x+9$

a)

one solution

b)

no solution

c)

infinite solutions

235.

$5x+4=5x+4$

a)

one solution

b)

no solution

c)

infinite solutions

236.

3x - x + 4 = 4(2x +1)

a)

no solution

b)

all real numbers (infinite)

c)

x = 6

d)

x = 0

237.

2x + 3(5x - 7) = 47

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

238.

A pound of lemons costs $3 less than a pound of apples. Together, six pounds of lemons and eight pounds of apples

cost $50. Which equation represents the situation?

a)

8p + 6(p + 3) = 50

b)

8p + 6p - 3 = 50

c)

14p - 3 = 50

d)

8p + 6(p-3) = 50

239.

Two lawn care companies are competing for a landscaping contract. Company A charges a $250 monthly consulting fee plus $10 per square foot of landscaping, whereas Company B charges a $90 monthly consulting fee plus $12 per square foot of landscaping. Which equations shows how many square feet of landscaping the two companies will charge the same amount?

a)

250f + 10 = 90 + 12f

b)

250 - 10f = 90 - 12f

c)

250 + 10f = 90 + 12f

d)

260f = 90 + 12f

240.

Tammy wants to drive to and from school. She finds two companies near her that offer short-term car rental service at different rates and then sets up the equation 2m + 5 = 3m + 2 to find out after how many miles, m, the companies will charge the same amount. What is the difference in per-mile costs for the two companies?

a)

The difference in the per mile cost is $1.00

b)

The difference in the per mile cost is $5.00

c)

The difference in the per mile cost is $3.00

d)

The difference in the per mile cost is $8.00

241.

Tim owns a beverage cart. He charges $2.50 for a cup of coffee, and it costs him $1.25 to make each cup of coffee plus $50 a day for other expenses. Which equation can be used to determine how many cups of coffee, , that Tim needs to sell each day in order to break even?

a)

2.50c = 1.25c + 50

b)

2.50c = 1.25c - 50

c)

2.50c +1.50c = 50

d)

2.50c + 50 = 1.25c

242.

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. How many pounds, p, will it take for UPS and FedEx to cost the same?

a)

7 - 0.2p = 5 + 0.3p

b)

7 - 0.2p = 5 - 0.3p

c)

7.2p = 5.3p

d)

7 + 0.2p = 5 + 0.3p

243.

Tim is choosing between two cell phone plans that offer the same amount of free minutes. Cingular’s plan charges $39.99 per month with additional minutes costing $0.45. Verizon’s plan costs $44.99 with additional minutes at $0.40. How many additional minutes, a, will it take for the two plans to cost the same?

a)

39.99 - 0.45m = 44.99 - 0.40m

b)

39.99 + 44.99 =0.45m + 0.40m

c)

39.99 + 0.45m = 44.99 + 0.40m

d)

39.99 + 0.45m = 0.40m

244.

Container A and container B have leaks. Container A has 800 ml of water, and is leaking 6 ml per minute. Container B has 1000 ml, and is leaking 10 ml per minute. How many minutes, m, will it take for the two containers to have the same amount of water?

a)

800 - 16m = 1000

b)

800 - 6m = 1000 - 10m

c)

1800 - 6m = - 10m

d)

800 + 6m = 1000 + 10m

245.

During the winter, you charge people $15 for going to their house to shovel, then $11 for every hour you bag groceries. If you make $48 one day, how many hours did you spend bagging groceries?

a)

15 + 11h = 48

b)

15h + 11 = 48

c)

48 - 11h = 15

d)

26h = 48

All of math

Total questions: 245

Worksheet time: 9hrs 9mins

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