Free Printable 7th Grade Review

1.

Calculate the interest. I = PRT,

Principal = $10000,

Rate = 7%,

Time = 20 years

(Calculator)

a)

1400

b)

1000

c)

14000

d)

14

2.

Maria borrowed $3,000 at a simple interest rate of 4% per year. How much did she have to repay after 4 years? (I=Prt)

(Calculator)

a)

$480

b)

$3,480

c)

$4,800

d)

$7,800

3.

Simplify:

9y + 2y - 5y

a)

16y

b)

16y³

c)

6y

d)

7y

4.

Translate:

Ten more than the product of 9 and a number, x.

a)

9x - 10

b)

9x + 10

c)

9/x + 10

d)

9x / 10

5.

Translate:

8 less than three times a number, d

a)

8 - 3d

b)

3d - 8

c)

8 + 3d

d)

8d - 3

6.

A package of 8 notebooks costs $16.64. How much do three notebooks cost?

(Calculator)

a)

$5.55

b)

$6.24

c)

$0.48

d)

$2.08

7.

A photocopy machine can copy 42 pages every two minutes. How many pages can it photocopy in 5 minutes?

a)

105 pages

b)

21 pages

c)

420 pages

d)

4.2 pages

8.

Change 4.5% to a decimal.

a)

.045

b)

.0045

c)

.45

d)

4.5

9.

Make the percent to decimal.
0.32%

a)

32

b)

0.32

c)

3.2

d)

0.0032

10.

12 is what percent of 30?

(Calculator)

a)

60%

b)

40%

c)

250%

11.

Solve:
3x + 7 = -8

a)

5

b)

-5

c)

-12

d)

-18

12.

Solve:
-8 + 5x - 2 = 20

a)

6

b)

-6

c)

2

d)

-2

13.

Solve:
6(5x - 3) + 2 = 14

a)

2

b)

.5

c)

-1

d)

1

14.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

15.

What is the constant of proportionality for this table?

a)

1/9

b)

9

c)

8

16.

Is this graph proportional?

a)

Yes

b)

No

17.

Name the constant of proportionality.

a)

8

b)

16

c)

6

d)

3

18.

Sam had $420 in his checking account. He made 6 deposits of $40.25. He needs to write 4 checks of $275.50. What will the balance be?

(Calculator)

a)

$661.50

b)

-$440.50

c)

$1102.00

d)

-$923.50

19.

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

a)

21 - 6x

b)

10 - 2x

c)

10 - 20x

d)

10 - 6x

20.

Sam can run ⅔ of a mile in 1/10 hour. If he continues at this rate, how long will it take him to run 1 mile?

(Calculator)

a)

3/20 hour

b)

2/30 hour

c)

20/3 hour

d)

30/2 hour

21.

Solve the proportion.

a)

418

b)

2

c)

38

d)

11

22.

Solve for x

a)

x=6

b)

x =1/6

c)

x = 7

d)

x=9

23.

-4⅝ + 1⅛ =

a)

3⅛

b)

-3⅞

c)

-3½

d)

-3¾

24.

What is the quotient of these fractions in lowest terms?

a)

6/40

b)

6/10

c)

3/5

d)

12/20

25.

The local resale store buys used designer jeans for $15. The store increases their purchase price by 400%. What is the sale price of the designer jeans?

(Calculator)

a)

$60

b)

$75

c)

$125

d)

$600

26.

A recipe that yields 2.5 dozen muffins requires 1.25 cups of flour. Mandy wants to make 10 dozen muffins. How many cups of flour will she need? (Calculator)

a)

2.5 cups

b)

5 cups

c)

10 cups

d)

20 cups

27.

A notebook costs $4.50 plus sales tax. After sales tax, the notebook is $4.86. What is the sales tax rate?

(Calculator)

a)

6%

b)

7%

c)

8%

d)

9%

28.

Jacob is 12 years younger than twice Elizabeth’s age. Jacob is 28 years old. How old is Elizabeth?

a)

14

b)

16

c)

20

d)

8

29.

Which expression represents the distance between P and Q on the number line?

a)

|-2+2|

b)

|2- -2|

c)

2+ -2

d)

|2| - |-2|

30.

Which of these expressions has the greatest value?

a)

-3 - -6

b)

-3 x -6

c)

-3 + -6

d)

-3 ÷ -6

31.

Which representation shows a proportional relationship between x and y?

a)

A

b)

B

c)

C

d)

D

32.

Every five years in March, the population of a certain town is recorded. In 1995, the town had a population of 4,500 people. From 1995 to 2000, the population increased by 15%. From 200 to 2005, the population decreased by 4% what was the towns population in 2005?

(Calculator)

a)

4,527

b)

4,968

c)

4,995

d)

5,382

33.

The measure of one side of a square is (s + 3) inches long. Which pair of expressions both represent the perimeter of this square?

a)

2s + 3 and (s + 3)(s +3)

b)

2(s +3) and (s +3)(s + 3)

c)

4s + 3 and (s+ 3) +(s+ 3) +(s+ 3) +(s+ 3)

d)

4(s +3) and (s+ 3) +(s+ 3) +(s+ 3) +(s+ 3)

34.

In the morning, a farm worker packed 3 pints of strawberries every 4 minutes. In the afternoon, she packed 2 pints of strawberries every 3 minutes. What was the difference between her morning and afternoon packing rates, in pints per hour?

a)

5

b)

10

c)

40

d)

45

35.

Candy bars have increased in price by 60% in recent years. If today's price is about $1.28, how much was the original price of the candy bars before the increase?

(Calculator)

a)

$0.68

b)

$0.80

c)

$1.88

d)

$2.04

36.

Dante wants to buy a scooter that usually sells for $79.99. The store is having a sale and all merchandise is discounted by 15%.

What is the total cost of the scooter after he pays 7% sales tax?

(Calculator)

a)

$72.75

b)

$67.99

c)

$74.99

d)

$98.43

37.

Dante wants to buy a scooter that usually sells for $45.49. The store is having a sale and all merchandise is discounted by 25%.

What is the total cost of the scooter after he pays 6.5% sales tax?

(Calculator)

a)

$11.37

b)

36.34

c)

$34.12

d)

$40.62

38.

A pet store purchases dog collars for $7 per dog collar. The store marked up the price of the dog collars by 42%. What is the cost of one dog collar?

(Calculator)

a)

$4.06

b)

$49.00

c)

$2.94

d)

$9.94

39.

-7 - (-7)

a)

14

b)

0

c)

-14

d)

1

40.

Which ordered pair represents the unit rate?

a)

(2,1)

b)

(4,2)

c)

(6,3)

d)

(1, 0.5)

41.

Solve the following equation. Make sure to simplify into a mixed number!
-15/2 - (-20/3) = ?

a)

- ⅚

b)

⅚

c)

-1 ½

d)

5 ⅓

42.

How much tax would you pay on a new TV that is $899 at Best Buy, if the tax rate is 6.5%?

(Calculator)

a)

$957.44

b)

$841

c)

$58.44

43.

Write the following expressions as an addition expression. -5 - (-1)

a)

-5+-1

b)

-5+1

c)

5+1

d)

5+-1

44.

Solve for a.

-5 - 6a = -59

a)

a= 11

b)

a= -6

c)

a= 9

d)

a= 2

45.

Where/what is the mistake?

a)

Line 2 - You should add 12 to both sides.

b)

Line 4 - You should multiply both sides by the reciprocal.

c)

Line 4 - You should multiply both sides by the original fraction.

d)

Line 5 - There was a calculation error.

46.

A car travels
$2\ \frac{5}{8}$ miles in $3\ \frac{1}{2}$ minutes at a constant speed. How far did the car travel in 5 minutes?

(Calculator)

a)

3.75 miles

b)

6.67 miles

c)

17.5 miles

d)

13.13 miles

47.

A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in 1/2 hour?

a)

13 1/2 mi

b)

6 3/4 mi

c)

3 3/8 mi

d)

24 1/2 mi

48.

There are 40 houses in a neighborhood.

Company X provides electricity to 1/8 of the houses.
Company Y provides electricity to 2/5 of the houses.
Company Z provides electricity to the remaining houses.

In this neighborhood, Company Z provides electricity to -

a)

21 houses

b)

24 houses

c)

16 houses

d)

19 houses

49.

The price of tablet was reduced from $250 to $200. By what percentage was the price of the tablet reduced?

(Calculator)

a)

20%

b)

25%

c)

80%

d)

50%

50.

The school office ordered 24 boxes of pens. Their total cost was $191.52. What was the cost of 1 box of pens?

(Calculator)

a)

$7.02

b)

$7.20

c)

$7.98

d)

$8.00

51.

Which inequality is represented by the following graph

a)

x < -8

b)

x > -8

c)

x ≥ -8

d)

x ≤ -8

52.

Select the TWO possible values that satisfy the inequality. $x\le8$

a)

7

b)

8

c)

9

d)

10

53.

Select the TWO possibe values that satisfy the inequality. $x>-7$

a)

-11

b)

-4

c)

-8

d)

$\frac{2}{3}$

54.

Choose the correct graph that best describes the inequality.

a)

b)

c)

d)

55.

Choose the inequality that best matches the graph.

a)

b)

c)

d)

56.

Solve and graph.
p - 3 > -8

a)

A

b)

B

c)

C

d)

D

57.

Does the inequality sign flip?
-5x + 12= 35

a)

Yes

b)

No

58.

Write an inequality:
Twenty-two more than four times a number is less than 82.

a)

22 + 4n ≤ 82

b)

22 + 4n > 82

c)

82 + 22n ≥ 4

d)

22 + 4n < 82

59.

Solve -2x - 3 ≤ 13

a)

x ≥ 8

b)

x ≥ -8

c)

x ≤ 8

d)

x ≤ -8

60.

What is the GCF of 16x + 24y - 8?

a)

2

b)

4

c)

8

d)

There are no common factors

61.

Write the following expression in factored form:

15a + 24

a)

3(15a + 24)

b)

3(5a + 24)

c)

3(5a + 8)

d)

It cannot be factored.

62.

Write the following expression in factored form:

36 - 9x

a)

3(12 - 3x)

b)

6(4 - 9x)

c)

9(4 - x)

63.

-9y - 36

a)

-3(3y - 12)

b)

9(y + 6)

c)

3(3y + 12)

d)

-9(y + 4)

64.

a)

-5/14

b)

7/40

c)

5/14

d)

10/28

65.

Simplify the complex fraction shown.

a)

9/40

b)

40/9

c)

10/36

d)

5/18

66.

r³ + 2s²
if r = -3 and s = 4

a)

59

b)

5

c)

37

d)

91

67.

Evaluate 3b - 5 if b = -2

a)

1

b)

-11

c)

-1

d)

27

68.

Dan borrowed $2,000 for 6 months at 12% annual simple interest rate. How much interest is that?

a)

$120

b)

$144

c)

$1,200

d)

$1,440

69.

(12a+6) - (-8a+2)

a)

20a+4

b)

4a+4

c)

20a+8

d)

-20a-4

70.

(-2-5v) - (-4v-2)

a)

-9v

b)

-v

c)

-9v+4

d)

-v-4

71.

-52 = -2x + 5(-x + 5)

a)

x = 11

b)

x = 12

c)

x = 13

d)

x = 14

72.

-3(2c - 5)

a)

-6c - 15

b)

-6c + 15

c)

6c + 15

d)

6c - 15

73.

-4(k - 7)

a)

-4k + 28

b)

-4k - 28

c)

4k + 28

d)

4k - 28

74.

Distribute and simplify

a)

-9x + 64

b)

9x + 64

c)

31x + 64

d)

-9x + 8

75.

Distribute and simplify

a)

2x + 19

b)

3x + 19

c)

3x - 11

d)

15x - 11

76.

What is the interquartile range?

a)

4

b)

6

c)

2

d)

8

77.

What is the median of the data?

a)

200

b)

100

c)

90

d)

140

78.

What is the minimum value?

a)

64

b)

58

c)

66

d)

60

79.

What data value is the upper quartile (Q3)?

a)

64

b)

62

c)

66

d)

58

80.

What is the measure of the missing angle?

a)

92

b)

102

c)

82

d)

72

81.

If the measure of ∠2 is 83°, what is the measure of ∠3?

a)

7°

b)

17°

c)

83°

d)

97°

82.

What is the value of x?

a)

37

b)

72

c)

108

d)

18

83.

What is the Theoretical Probablility of landing on red?

a)

43%

b)

33.3%

c)

40%

d)

36%

84.

Find the theoretical probability of landing on orange or red if you spin the spinner.

a)

0

b)

3/8

c)

2/8

d)

1/4

85.

Based on the chart, what is the experimental probability of pulling a green marble?

a)

12.5 %

b)

8%

c)

80%

d)

32%

86.

A rectangle has width (2x + 3) and length (2x - 4). What is the perimeter of the rectangle?

a)

4x- 12

b)

4x- 1

c)

8x- 2

d)

4x²- 2x - 12

87.

Find the perimeter of the rectangle

a)

P= 10x + 2

b)

P= 12x

c)

P = 12

d)

P = 6x² + 3x

7th Grade Review

Total questions: 87

Worksheet time: 5hrs 20mins

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