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Worksheets

7th grade algebra

Total questions: 28

Worksheet time: 2hrs 45mins

Name
Class
Date
1.

Complete the table.

a)

4, 10, 15, 30, 120, 625

b)

4, 10, 15, 40, 120, 625

c)

4, 10, 18, 40, 130, 700

d)

4, 12, 15, 30, 120, 625

2.

In the expression 2x2 indicate what is the coeficient?

a)

2

b)

2x

c)

x2

d)

None of the above

3.

Simplify when possible. 3x + x

a)

4x

b)

4x2

c)

3 (x + x)

d)

None of the above

4.

Simplify when possible. 5x2 + x

a)

6x

b)

6x2

c)

5x (x + x)

d)

None of the above

5.

Simplify when possible. 2ab + 3ab

a)

5 ab

b)

6 ab2

c)

6 (a + b)

d)

None of the above

6.

Carry out these operations and simplify: (3x) (2x)

a)

6x2

b)

5x

c)

6x

d)

None of the above

7.

Simplify these expressions: 3x + 5 + 2x - 7

a)

5x + 2

b)

8x - 5

c)

5x - 2

d)

None of the above

8.

Carry out these operations and simplify: (10x2y) : (5xy)

a)

5x

b)

50 x3y2

c)

6x

d)

None of the above

9.

Substract the common factor: 3x2 + 6x

a)

3x(x + 2)

b)

3x2(1 + x)

c)

It´s impossible to do it

d)

None of the above

10.

Calculate: (x + 2)2

a)

x2 + 4x + 4

b)

x2 + 4

c)

x2 - 4x + 4

d)

x2 - 4

11.

Simplify:


4x + 5x + 2x

a)

3x

b)

11x

c)

11x3

d)

10x

12.

Simplify:


9y + 2y - 5y

a)

16y

b)

16y3

c)

6y

d)

7y

13.

Translate:


The product of 9 and a number, x, increased by 10

a)

9x - 10

b)

9x + 10

c)

9/x + 10

d)

9x / 10

14.

Translate:


The quotient of a number, n, and 6, decreased by 7

a)

6n + 7

b)

7n + 6

c)

n/6 - 7

d)

6/n - 7

15.

Translate:


8 less than a number, d

a)

8 - d

b)

d - 8

c)

8 + d

d)

8d

16.

Simplify:


6x + 8y + 4x + 2y

a)

20xy

b)

14xy + 6xy

c)

10x + 10y

d)

10x2 + 10y2

17.

Translate:


a number, m, increased by 12 is equal too 48

a)

m + 12 = 48

b)

m - 12 = 48

c)

12 - m = 48

d)

12m = 48

18.

Translate:


the product of a number, p and 8, increased by 13 is 56

a)

8p - 13 = 56

b)

8p + 13 = 56

c)

13p + 8 = 56

d)

13 - 8p = 56

19.

Simplify:


9x + 7y - 6x - 5y

a)

15x + 12y

b)

3x + 2y

c)

3x2 + 2y2

d)

5xy

20.

Simplify:


4(8 - 6) + 2(4 + 8)

a)

32

b)

80

c)

20

d)

42

21.

Simplify:


8 + 4 x 6 - 12

a)

20

b)

60

c)

-24

d)

30

22.

A package of 8 notebooks costs $16.64. How much does one notebook cost?

a)

$2.00

b)

$1.66

c)

$0.48

d)

$2.08

23.

Round 45.987 to the nearest hundredth.

a)

46

b)

45.9

c)

45.99

d)

45.98

24.

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

25.

Mary won $50,000 on a scratch-off ticket. If she bought a new car for $39,808, tax included, how much of her winnings remain?

a)

$10,002

b)

$10,198

c)

$10,192

d)

$10,298

26.

Simplify: 13.015 + 603.29

a)

616.305

b)

616.295

c)

190.344

d)

733.44

27.

Which is the decimal for forty-two hundredths?

a)

42.00

b)

4.20

c)

0.42

d)

0.042

28.

When converted to a decimal, which fraction is repeating?

a)

1/2

b)

1/3

c)

1/4

d)

1/5