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7 UNIT TEST 1 (NS)

Total questions: 64

Worksheet time: 32mins

Name
Class
Date
1.

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

2.

What is 15% of 200?

a)

20

b)

25

c)

30

d)

35

3.

Multiply the mixed numbers: 213×1122 \frac{1}{3} \times 1 \frac{1}{2} .

a)

3123 \frac{1}{2}

b)

3563 \frac{5}{6}

c)

4164 \frac{1}{6}

d)

4234 \frac{2}{3}

4.

Divide the mixed numbers: 334÷1123 \frac{3}{4} \div 1 \frac{1}{2} .

a)

2122 \frac{1}{2}

b)

2142 \frac{1}{4}

c)

2182 \frac{1}{8}

d)

2132 \frac{1}{3}

5.

Multiply the mixed numbers: 125×2341 \frac{2}{5} \times 2 \frac{3}{4} .

a)

37103 \frac{7}{10}

b)

311203 \frac{11}{20}

c)

313203 \frac{13}{20}

d)

3123 \frac{1}{2}

6.

Divide the mixed numbers: 512÷2135 \frac{1}{2} \div 2 \frac{1}{3} .

a)

2132 \frac{1}{3}

b)

2252 \frac{2}{5}

c)

2352 \frac{3}{5}

d)

2122 \frac{1}{2}

7.

Use the associative property to simplify: (112×2)×3(1 \frac{1}{2} \times 2) \times 3 .

a)

99

b)

8128 \frac{1}{2}

c)

9129 \frac{1}{2}

d)

9349 \frac{3}{4}

8.

Convert the fraction 14\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

9.

Convert the fraction 23\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

10.

Which of the following decimals is a terminating decimal?

a)

0.333...

b)

0.75

c)

0.142857...

d)

0.888...

11.

Convert the fraction 58\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

12.

Convert the fraction 79\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

13.

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

a)

13\frac{1}{3}

b)

15\frac{1}{5}

c)

17\frac{1}{7}

d)

19\frac{1}{9}

14.

Which of the following decimals is a repeating decimal?

a)

0.5

b)

0.125

c)

0.333...

d)

0.8

15.

Convert the fraction 35\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

16.

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

a)

22

b)

−2-2

c)

33

d)

−3-3

17.

Which of the following represents the expression −(85)-\left(\frac{8}{5}\right) ?

a)

−85\frac{-8}{5}

b)

8−5\frac{8}{-5}

c)

Both A and B

d)

Neither A nor B

18.

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

19.

Which of the following is a rational number?

a)

07\frac{0}{7}

b)

70\frac{7}{0}

c)

00\frac{0}{0}

d)

None of the above

20.

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

a)

−3-3

b)

33

c)

−4-4

d)

44

21.

A recipe requires 34\frac{3}{4} cup of sugar. If you want to make half of the recipe, how much sugar do you need?

a)

38\frac{3}{8} cup

b)

12\frac{1}{2} cup

c)

14\frac{1}{4} cup

d)

18\frac{1}{8} cup

22.

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

a)

pq=−3\frac{p}{q} = -3

b)

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

c)

pq=−9\frac{p}{q} = -9

d)

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

23.

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

a)

0

b)

1

c)

5

d)

Undefined

24.

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.

25.

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

a)

−6-6

b)

66

c)

−5-5

d)

55

26.

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

a)

−3-3

b)

33

c)

−2-2

d)

22

27.

Which of the following represents the distributive property?

a)

a+b=b+aa + b = b + a

b)

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

c)

a×1=aa \times 1 = a

d)

a×0=0a \times 0 = 0

28.

What is the result of multiplying (−5)×12(-5) \times \frac{1}{2} ?

a)

−2.5-2.5

b)

2.52.5

c)

−5-5

d)

55

29.

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

a)

−12-12 meters

b)

1212 meters

c)

−7-7 meters

d)

77 meters

30.

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

a)

−1-1

b)

11

c)

00

d)

22

31.

If (−7)×2=x(-7) \times 2 = x , what is xx ?

a)

−14-14

b)

1414

c)

−9-9

d)

99

32.

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

33.

What is the result of (−34)×4(-\frac{3}{4}) \times 4 ?

a)

−3-3

b)

33

c)

−1-1

d)

11

34.

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

a)

−10-10 degrees

b)

1010 degrees

c)

−5-5 degrees

d)

55 degrees

35.

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

36.

What is the result when you add the zero pair, −9-9 and 99 ?

a)

18

b)

0

c)

-18

d)

9

37.

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

a)

4

b)

-4

c)

0

d)

8

38.

If you owe 55 dollars and you pay back 55 dollars, what is your new balance?

a)

1010

b)

00

c)

−5-5

d)

55

39.

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 5050 dollars and withdrawing 5050 dollars

c)

Gaining 10 pounds and losing 5 pounds

d)

Driving 10 miles and then 10 miles more

40.

Graphically, what does the sum of −7-7 and 77 look like on a number line?

a)

A point at −7-7

b)

A point at 00

c)

A point at 77

d)

A point at 1414

41.

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

42.

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

a)

x+xx + x

b)

x−xx - x

c)

x×xx \times x

d)

x÷xx \div x

43.

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

44.

What is the result of adding 34\frac{3}{4} and 23\frac{2}{3} ?

a)

57\frac{5}{7}

b)

1712\frac{17}{12}

c)

12\frac{1}{2}

d)

1312\frac{13}{12}

45.

On a number line, if you start at −35-\frac{3}{5} and move 45\frac{4}{5} to the right, where do you end up?

a)

15\frac{1}{5}

b)

−15-\frac{1}{5}

c)

75\frac{7}{5}

d)

11

46.

Which property of operations is used in the equation 23+45=45+23\frac{2}{3} + \frac{4}{5} = \frac{4}{5} + \frac{2}{3} ?

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Identity Property

47.

Calculate 79−23\frac{7}{9} - \frac{2}{3} .

a)

19\frac{1}{9}

b)

59\frac{5}{9}

c)

−19-\frac{1}{9}

d)

13\frac{1}{3}

48.

If you add −14-\frac{1}{4} and 38\frac{3}{8} on a number line, what is the result?

a)

18\frac{1}{8}

b)

−18-\frac{1}{8}

c)

14\frac{1}{4}

d)

−12-\frac{1}{2}

49.

Which property is demonstrated by the equation (12+13)+14=12+(13+14)\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

50.

What is the result of the subtraction 5−85 - 8 using the concept of adding the additive inverse?

a)

−3-3

b)

33

c)

−13-13

d)

1313

51.

If p=34p = \frac{3}{4} and q=12q = \frac{1}{2} , what is p−qp - q using the additive inverse?

a)

14\frac{1}{4}

b)

−14-\frac{1}{4}

c)

54\frac{5}{4}

d)

−54-\frac{5}{4}

52.

What is the absolute value of negative eight?

a)

22

b)

88

c)

−8-8

d)

33

53.

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

a)

5

b)

9

c)

7

d)

10

54.

In a real-world context, if the temperature drops from 15∘C15^\circ C to −5∘C-5^\circ C , what is the change in temperature?

a)

10∘C10^\circ C

b)

20∘C20^\circ C

c)

−20∘C-20^\circ C

d)

−10∘C-10^\circ C

55.

If p=−25p = -\frac{2}{5} and q=35q = \frac{3}{5} , what is p−qp - q ?

a)

−55-\frac{5}{5}

b)

−15-\frac{1}{5}

c)

−12-\frac{1}{2}

d)

−75-\frac{7}{5}

56.

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

a)

100100 meters

b)

−100-100 meters

c)

200200 meters

d)

−200-200 meters

57.

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

a)

aa

b)

00

c)

−a-a

d)

2a2a

58.

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

a)

88

b)

22

c)

−2-2

d)

−8-8

59.

In a real-world context, if you owe someone 55 dollars and you pay them back 55 dollars, what is your balance?

a)

55 dollars

b)

00 dollars

c)

−5-5 dollars

d)

1010 dollars

60.

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

a)

1414

b)

00

c)

−14-14

d)

77

61.

Which of the following is an example of additive inverses?

a)

33 and 33

b)

−4-4 and 44

c)

55 and 00

d)

−2-2 and −2-2

62.

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

a)

2020

b)

00

c)

−10-10

d)

1010

63.

In a real-world context, if you have 88 apples and give away 88 apples, how many apples do you have left?

a)

88 apples

b)

00 apples

c)

−8-8 apples

d)

1616 apples

64.

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

a)

66

b)

00

c)

33

d)

−3-3