Free Printable 2019/2020 Winter Review

1.

Fill in the correct symbol.

a)

<

b)

>

c)

=

2.

Evelyn borrows $1200 from a bank with 8% simple interest per year. How much will she have to pay back total in 2 years?

a)

$96

b)

$192

c)

$1296

d)

$1392

3.

The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent decrease from the regular price to the sale price of the scooter?

a)

35%

b)

25%

c)

30%

d)

20%

4.

10 out of 25 students are wearing a jacket. What percent of students are wearing a jacket?

a)

2.5%

b)

10%

c)

40%

d)

60%

5.

A computer that originally costs $929 was returned to the electronics store. Because the box was opened, the store put it on the clearance rack for 35% off. What is the price of the computer?

a)

$325.15

b)

$1,254.15

c)

$603.85

d)

$500

6.

The ticket price for a one-way flight from Orlando to Philadelphia is regularly $149. If Callie is purchasing a ticket for the day before Thanksgiving and the airline marked the ticket price up 72%, find the cost of her ticket.

a)

$107.28

b)

$41.72

c)

$250.25

d)

$256.28

7.

Simplify by combining like terms:
5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

8.

2(c + 6) + 5c

a)

2c + 12 + 5c

b)

7c + 6

c)

7c + 12

d)

7c

9.

Evaluate the following expression:
-3x² - 5x + 7 when x = -2

a)

5

b)

10

c)

12

d)

7

10.

Simplify the expression by combining like terms:
4h³ + h + 3h - 6h³ + 2h²

a)

h³ + 3h + 2h²

b)

4h³ + 2h²

c)

-4h³ + h + 2h²

d)

-2h³ + 4h + 2h²

11.

Simplify the expression:
3(1 - 2x) + 7

a)

21 - 6x

b)

24 + 6x

c)

10 + 6x

d)

10 - 6x

12.

Which statement is NOT true?

a)

Every rational number is a real number.

b)

Every counting number is a whole number.

c)

Every integer is a rational number.

d)

Every decimal number is an irrational number.

13.

Classify the Number: -23

a)

Rational

b)

Real, rational, integer

c)

integer

d)

Real, irrational, whole

14.

-14 could NOT be which type of number?

a)

Integer

b)

Real

c)

Rational

d)

Natural

15.

Classify 0

a)

Whole

b)

Integer

c)

Rational

d)

All of the above

16.

How would 0.333333 be classified?

a)

rational and real

b)

real and whole

c)

only integer

d)

only irrational

17.

Which statement is NOT true?

a)

0.121212… is a rational number.

b)

0.34353637 is an irrational number.

c)

8.14 is a rational number.

d)

5.12345… is an irrational number.

18.

Work out the value of the expression when a = 3, b = 4 and c = 5.

a)

3

b)

1 1/3

c)

4

d)

1/3

19.

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

20.

Which number is NOT a perfect square?

a)

196

b)

169

c)

121

d)

132

21.

Which number has a square root that is between 5 and 6?

a)

48

b)

81

c)

28

d)

36

22.

Find the best estimate for √18 .
Look at the number line.

a)

4.2

b)

4.4

c)

5.1

d)

4

23.

$-2v\ +\ v\ =\ 3$

a)

4

b)

$-5$

c)

$-3$

d)

5

24.

$96=6\left(k+8\right)$

a)

$12$

b)

$8$

c)

$-4$

d)

$9$

25.

$-118=-5\left(4+7x\right)+7$

a)

$-5$

b)

$-9$

c)

$3$

d)

$-1$

26.

$-3x-6x=6+x-7x$

a)

$-3$

b)

$12$

c)

$11$

d)

$-2$

27.

$-3\left(n+8\right)-4=-40-n$

a)

$11$

b)

$6$

c)

$2$

d)

$1$

28.

6x + 2 + 6x < 14

a)

x < 1

b)

x > 1

c)

x < -1

d)

x > -1

29.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

30.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

31.

Match the graph with its inequality.

a)

–3/7 > j

b)

–3/7 < j

c)

–3/7 ≥ j

d)

–3/7 ≤ j

32.

6 - 3a = 21

a)

a= 9

b)

a= -9

c)

a= -5

d)

a= 5

33.

7 + ^a⁄₃= 5

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

34.

^{(a + 3)}⁄₇= 3

a)

a= 18

b)

a= 21

c)

a= 4

d)

a= 11

35.

What is the coefficient in the following expression?
q + 4r − 18 + 2³ - 1
q = 3
r = 2

a)

18

b)

3

c)

4

d)

2

36.

A computer printer can print 10 pages per minute. There were already 35 pages in the tray. The total pages printed was 115 pages. Write an expression for the number of pages the printer can print in m minutes.

a)

10m + 35 = 115

b)

10m - 35 = 115

c)

115m + 35 = 10

d)

35m + 10 = 115

37.

Simplify the following expression:
3 + 5x + 8 - 2x

a)

-3x² - 11

b)

3x² + 11

c)

11 - 3x

d)

11 + 3x

38.

Simplify the expression:

3 - 2a + 3a + 5a

a)

5a+3

b)

5a-3

c)

6a + 3

d)

8a+3

39.

Solve:

7(2x - 4) = 42

a)

x= 5

b)

x= 8

c)

x= 2

d)

x= 9

40.

Simplify if w = -4

-7w² + 2w

a)

104

b)

-64

c)

-120

d)

120

41.

What is 16y - u + 34x when x=2 u =14 and y = 3?

a)

102

b)

43

c)

2

d)

107

2019/2020 Winter Review - 8th Grade

Total questions: 41

Worksheet time: 3hrs 23mins

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