Free Printable 7 HW 8

1.

-9 x 6 =

2.

A recipe requires a ratio of 3 cups of flour to 2 cups of sugar. If you have 9 cups of flour, how many cups of sugar do you need to maintain the ratio?

a)

4 cups

b)

5 cups

c)

6 cups

d)

7 cups

3.

A store is having a 25% off sale on all items. If a jacket originally costs $80, what is the sale price?

a)

$20

b)

$60

c)

$65

d)

$70

4.

If 40% of a number is 16, what is the number?

a)

20

b)

30

c)

40

d)

50

5.

A car travels 150 miles using 5 gallons of gas. What is the car's fuel efficiency in miles per gallon?

a)

20 miles per gallon

b)

25 miles per gallon

c)

30 miles per gallon

d)

35 miles per gallon

6.

A school has a student-to-teacher ratio of 15:1. If there are 45 teachers, how many students are there?

a)

600

b)

675

c)

700

d)

750

7.

What is 15% of 200?

a)

20

b)

25

c)

30

d)

35

8.

A bag contains red and blue marbles in the ratio 4:5. If there are 36 marbles in total, how many are red?

a)

16

b)

18

c)

20

d)

24

9.

What is the sum of a number $a$ and its opposite $-a$ ?

a)

$a$

b)

$0$

c)

$-a$

d)

$2a$

10.

On a number line, what is the distance between 1 and -1?

a)

$8$

b)

$2$

c)

$-2$

d)

$-8$

11.

In a real-world context, if you owe someone $5$ dollars and you pay them back $5$ dollars, what is your balance?

a)

$5$ dollars

b)

$0$ dollars

c)

$-5$ dollars

d)

$10$ dollars

12.

If $p = -7$ and $q = 7$ , what is $p + q$ ?

a)

$14$

b)

$0$

c)

$-14$

d)

$7$

13.

Which of the following is an example of additive inverses?

a)

$3$ and $3$

b)

$-4$ and $4$

c)

$5$ and $0$

d)

$-2$ and $-2$

14.

If you start at $p = 10$ and move $q = -10$ units, where do you end up?

a)

$20$

b)

$0$

c)

$-10$

d)

$10$

15.

In a real-world context, if you have $8$ apples and give away $8$ apples, how many apples do you have left?

a)

$8$ apples

b)

$0$ apples

c)

$-8$ apples

d)

$16$ apples

16.

On a number line, what is the distance from -3 to 3?

a)

$6$

b)

$0$

c)

$3$

d)

$-3$

17.

Multiply the mixed numbers: $2 \frac{1}{3} \times 1 \frac{1}{2}$ .

a)

$3 \frac{1}{2}$

b)

$3 \frac{5}{6}$

c)

$4 \frac{1}{6}$

d)

$4 \frac{2}{3}$

18.

Divide the mixed numbers: $3 \frac{3}{4} \div 1 \frac{1}{2}$ .

a)

$2 \frac{1}{2}$

b)

$2 \frac{1}{4}$

c)

$2 \frac{1}{8}$

d)

$2 \frac{1}{3}$

19.

Multiply the mixed numbers: $1 \frac{2}{5} \times 2 \frac{3}{4}$ .

a)

$3 \frac{7}{10}$

b)

$3 \frac{11}{20}$

c)

$3 \frac{13}{20}$

d)

$3 \frac{1}{2}$

20.

Divide the mixed numbers: $5 \frac{1}{2} \div 2 \frac{1}{3}$ .

a)

$2 \frac{1}{3}$

b)

$2 \frac{2}{5}$

c)

$2 \frac{3}{5}$

d)

$2 \frac{1}{2}$

21.

Use the associative property to simplify: $(1 \frac{1}{2} \times 2) \times 3$ .

a)

$9$

b)

$8 \frac{1}{2}$

c)

$9 \frac{1}{2}$

d)

$9 \frac{3}{4}$

22.

Which of the following pairs of numbers are additive inverses?

a)

5 and 5

b)

-3 and 3

c)

7 and -8

d)

0 and 0

23.

What is the result when you add the zero pair, $-9$ and $9$ ?

a)

18

b)

0

c)

-18

d)

9

24.

On a number line, which point is the additive inverse of the point at $-4$ ?

a)

4

b)

-4

c)

0

d)

8

25.

If you owe $5$ dollars and you pay back $5$ dollars, what is your new balance?

a)

$10$

b)

$0$

c)

$-5$

d)

$5$

26.

Which of the following is a real-world example of opposite quantities combining to make zero?

a)

Walking 3 miles north and then 3 miles east

b)

Depositing $50$ dollars and withdrawing $50$ dollars

c)

Gaining 10 pounds and losing 5 pounds

d)

Driving 10 miles and then 10 miles more

27.

Graphically, what does the sum of $-7$ and $7$ look like on a number line?

a)

A point at $-7$

b)

A point at $0$

c)

A point at $7$

d)

A point at $14$

28.

Which of the following statements is true about zero pairs?

a)

Zero pairs always result in a positive number

b)

Zero pairs always result in a negative number

c)

Zero pairs always result in zero

d)

Zero pairs always result in a non-zero number

29.

If $x$ is an integer, which of the following expressions will always equal zero?

a)

$x + x$

b)

$x - x$

c)

$x \times x$

d)

$x \div x$

30.

In a game, you gain 15 points and then lose 15 points. What is your final score change?

a)

30 points

b)

0 points

c)

-30 points

d)

15 points

31.

What is the result of adding $\frac{3}{4}$ and $\frac{2}{3}$ ?

a)

$\frac{5}{7}$

b)

$\frac{17}{12}$

c)

$\frac{1}{2}$

d)

$\frac{13}{12}$

32.

Subtract $\frac{5}{6}$ from $\frac{7}{8}$ .

a)

$\frac{1}{24}$

b)

$\frac{1}{12}$

c)

$\frac{1}{8}$

d)

$\frac{1}{48}$

33.

On a number line, if you start at $-\frac{3}{5}$ and move $\frac{4}{5}$ to the right, where do you end up?

a)

$\frac{1}{5}$

b)

$-\frac{1}{5}$

c)

$\frac{7}{5}$

d)

$1$

34.

Which property of operations is used in the equation $\frac{2}{3} + \frac{4}{5} = \frac{4}{5} + \frac{2}{3}$ ?

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Identity Property

35.

Calculate $\frac{7}{9} - \frac{2}{3}$ .

a)

$\frac{1}{9}$

b)

$\frac{5}{9}$

c)

$-\frac{1}{9}$

d)

$\frac{1}{3}$

36.

If you add $-\frac{1}{4}$ and $\frac{3}{8}$ on a number line, what is the result?

a)

$\frac{1}{8}$

b)

$-\frac{1}{8}$

c)

$\frac{1}{4}$

d)

$-\frac{1}{2}$

37.

Which property is demonstrated by the equation $\left(\frac{1}{2} + \frac{1}{3}\right) + \frac{1}{4} = \frac{1}{2} + \left(\frac{1}{3} + \frac{1}{4}\right)$ ?

a)

Commutative Property

b)

Associative Property

c)

Distributive Property

d)

Identity Property

38.

What is the result of the subtraction $5 - 8$ using the concept of adding the additive inverse?

a)

$-3$

b)

$3$

c)

$-13$

d)

$13$

39.

If $p = \frac{3}{4}$ and $q = \frac{1}{2}$ , what is $p - q$ using the additive inverse?

a)

$\frac{1}{4}$

b)

$-\frac{1}{4}$

c)

$\frac{5}{4}$

d)

$-\frac{5}{4}$

40.

What is the absolute value of negative eight?

a)

$2$

b)

$8$

c)

$-8$

d)

$3$

41.

Which of the following represents the distance between 7 and -2 on the number line?

a)

5

b)

9

c)

7

d)

10

42.

In a real-world context, if the temperature drops from $15^\circ C$ to $-5^\circ C$ , what is the change in temperature?

a)

$10^\circ C$

b)

$20^\circ C$

c)

$-20^\circ C$

d)

$-10^\circ C$

43.

If $p = -\frac{2}{5}$ and $q = \frac{3}{5}$ , what is $p - q$ ?

a)

$-\frac{5}{5}$

b)

$-\frac{1}{5}$

c)

$-\frac{1}{2}$

d)

$-\frac{7}{5}$

44.

In a real-world scenario, if a submarine descends from $-50$ meters to $-150$ meters, what is the change in depth?

a)

$100$ meters

b)

$-100$ meters

c)

$200$ meters

d)

$-200$ meters

45.

What is the result of the subtraction $5 - 8$ using the concept of adding the additive inverse?

a)

$-3$

b)

$3$

c)

$-13$

d)

$13$

46.

If $p = \frac{3}{4}$ and $q = \frac{1}{2}$ , what is $p - q$ using the additive inverse?

a)

$\frac{1}{4}$

b)

$-\frac{1}{4}$

c)

$\frac{5}{4}$

d)

$-\frac{5}{4}$

47.

What is the absolute value of negative eight?

a)

$2$

b)

$8$

c)

$-8$

d)

$3$

48.

Which of the following represents the distance between 7 and -2 on the number line?

a)

5

b)

9

c)

7

d)

10

49.

In a real-world context, if the temperature drops from $15^\circ C$ to $-5^\circ C$ , what is the change in temperature?

a)

$10^\circ C$

b)

$20^\circ C$

c)

$-20^\circ C$

d)

$-10^\circ C$

50.

If $p = -\frac{2}{5}$ and $q = \frac{3}{5}$ , what is $p - q$ ?

a)

$-\frac{5}{5}$

b)

$-\frac{1}{5}$

c)

$-\frac{1}{2}$

d)

$-\frac{7}{5}$

51.

In a real-world scenario, if a submarine descends from $-50$ meters to $-150$ meters, what is the change in depth?

a)

$100$ meters

b)

$-100$ meters

c)

$200$ meters

d)

$-200$ meters

52.

If $p = 6$ and $q = -3$ , what is the value of $\frac{p}{q}$ ?

a)

$2$

b)

$-2$

c)

$3$

d)

$-3$

53.

Which of the following represents the expression $-\left(\frac{8}{5}\right)$ ?

a)

$\frac{-8}{5}$

b)

$\frac{8}{-5}$

c)

Both A and B

d)

Neither A nor B

54.

If a person divides 15 apples equally among 3 friends, how many apples does each friend get?

a)

3

b)

4

c)

5

d)

6

55.

Which of the following is a rational number?

a)

$\frac{0}{7}$

b)

$\frac{7}{0}$

c)

$\frac{0}{0}$

d)

None of the above

56.

If $p = -12$ and $q = 4$ , what is the value of $\frac{-p}{q}$ ?

a)

$-3$

b)

$3$

c)

$-4$

d)

$4$

57.

A recipe requires $\frac{3}{4}$ cup of sugar. If you want to make half of the recipe, how much sugar do you need?

a)

$\frac{3}{8}$ cup

b)

$\frac{1}{2}$ cup

c)

$\frac{1}{4}$ cup

d)

$\frac{1}{8}$ cup

58.

If $p = 9$ and $q = -3$ , which of the following is true?

a)

$\frac{p}{q} = -3$

b)

$\frac{p}{q} = 3$

c)

$\frac{p}{q} = -9$

d)

$\frac{p}{q} = 9$

59.

A car travels 120 miles in 2 hours. What is the average speed of the car in miles per hour?

a)

30 mph

b)

40 mph

c)

50 mph

d)

60 mph

60.

If $p = 0$ and $q = 5$ , what is the value of $\frac{p}{q}$ ?

a)

0

b)

1

c)

5

d)

Undefined

61.

Which of the following statements is true about the division of integers?

a)

Division by zero is allowed.

b)

The quotient of two integers is always an integer.

c)

The quotient of two integers is always a rational number.

d)

The quotient of two integers is always a whole number.

62.

What is the product of $(-3) \times (-2)$ ?

a)

$-6$

b)

$6$

c)

$-5$

d)

$5$

63.

If $(-4) \times x = 12$ , what is the value of $x$ ?

a)

$-3$

b)

$3$

c)

$-2$

d)

$2$

64.

Which of the following represents the distributive property?

a)

$a + b = b + a$

b)

$a(b + c) = ab + ac$

c)

$a \times 1 = a$

d)

$a \times 0 = 0$

65.

What is the result of multiplying $(-5) \times \frac{1}{2}$ ?

a)

$-2.5$

b)

$2.5$

c)

$-5$

d)

$5$

66.

In a real-world context, if a submarine descends 4 meters per minute, what is the depth after 3 minutes?

a)

$-12$ meters

b)

$12$ meters

c)

$-7$ meters

d)

$7$ meters

67.

What is the product of $(-1) \times (-1)$ ?

a)

$-1$

b)

$1$

c)

$0$

d)

$2$

68.

If $(-7) \times 2 = x$ , what is $x$ ?

a)

$-14$

b)

$14$

c)

$-9$

d)

$9$

69.

Which of the following is true for multiplying two negative numbers?

a)

The product is negative

b)

The product is positive

c)

The product is zero

d)

The product is undefined

70.

What is the result of $(-\frac{3}{4}) \times 4$ ?

a)

$-3$

b)

$3$

c)

$-1$

d)

$1$

71.

If a temperature drops 2 degrees every hour, what is the total change in temperature after 5 hours?

a)

$-10$ degrees

b)

$10$ degrees

c)

$-5$ degrees

d)

$5$ degrees

72.

Convert the fraction $\frac{1}{4}$ to a decimal. Is the decimal terminating or repeating?

a)

0.25, Terminating

b)

0.25, Repeating

c)

0.2, Terminating

d)

0.2, Repeating

73.

Convert the fraction $\frac{2}{3}$ to a decimal. Is the decimal terminating or repeating?

a)

0.66, Terminating

b)

0.666..., Repeating

c)

0.67, Terminating

d)

0.67, Repeating

74.

Which of the following decimals is a terminating decimal?

a)

0.333...

b)

0.75

c)

0.142857...

d)

0.888...

75.

Convert the fraction $\frac{5}{8}$ to a decimal. Is the decimal terminating or repeating?

a)

0.625, Terminating

b)

0.625, Repeating

c)

0.62, Terminating

d)

0.62, Repeating

76.

Convert the fraction $\frac{7}{9}$ to a decimal. Is the decimal terminating or repeating?

a)

0.777..., Repeating

b)

0.78, Terminating

c)

0.7, Terminating

d)

0.77, Repeating

77.

Which of the following fractions will convert to a terminating decimal?

a)

$\frac{1}{3}$

b)

$\frac{1}{5}$

c)

$\frac{1}{7}$

d)

$\frac{1}{9}$

78.

Which of the following decimals is a repeating decimal?

a)

0.5

b)

0.125

c)

0.333...

d)

0.8

79.

Convert the fraction $\frac{3}{5}$ to a decimal. Is the decimal terminating or repeating?

a)

0.6, Terminating

b)

0.6, Repeating

c)

0.66, Terminating

d)

0.66, Repeating

80.

If you say 0.07 the correct way (with the proper place value) this problem becomes easy.

81.

Enter the decimal equivalent for 8/12. Round your answer off to the nearest hundredths.

This is just a long division problem. Top divided by bottom.

82.

Are the given expressions below equivalent to 8 (2.25 - 4.25b)

Categorize the following

18 - 34b

-34b + 18

34b - 18

-18b + 18

Yes

No

83.

?

84.

Hint: Plug in 5 for the value of x.

85.

Hint: Plug in 5 for the value of x.

86.

If you say 0.07 the correct way (with the proper place value) this problem becomes easy.

87.

What is 3.4 ( 3 + 5 )

You can use the distributive property

3.4(3) + 3.4(5)

OR

Add 3 and 5 together first

3.4 (8)

88.

This is a subtraction problem. Use the fraction button for your answer.

89.

This is a division problem.

90.

Enter the decimal equivalent for 8/12. Round your answer off to the nearest hundredths.

This is just a long division problem. Top divided by bottom.

91.

Are the given expressions below equivalent to 8 (2.25 - 4.25b)

Categorize the following

18 - 34b

-34b + 18

34b - 18

-18b + 18

Yes

No

92.

?

93.

?

94.

Hint: There is more than one correct answer. Select ALL of the right answers.

a)

b)

c)

d)

95.

HINT: It helps if you say 0.31 out loud, but make sure you use the correct place value.

96.

?

a)

Both numbers must be positive.

b)

Both numbers must be negative.

c)

One number must be positive and the other must be negative.

97.

Hint: Think about how the answer would ALWAYS be negative.

a)

The values of the two integers are opposites.

b)

Both integers must be negative.

c)

Both integers must be positive.

d)

One integer must be positive and the other must be negative.

98.

Hint: "OF" means multiply. Then think about how much is left over.

99.

What expression does this number line represent?

a)

4n - n

b)

2n + n

c)

8n - 2n

d)

16n - 4n

100.

There is more than one correct answer. Select all of them.

a)

b)

c)

d)