Free Printable Algebra Basics

1.

What is the value of x in the equation 2x + 5 = 11?

a)

x = 5

b)

x = 3

c)

x = 2

d)

x = 4

2.

Expand and simplify: (x + 3)(x - 2)

a)

x^2 - x - 6

b)

x^2 + x - 6

c)

x^2 + 5x - 6

d)

x^2 - 3x - 6

3.

Simplify the expression: 3(x + 4) - 2(2x - 1)

a)

-2x + 6

b)

-x + 14

c)

5x - 2

d)

-x + 10

4.

If 3x - 7 = 5, what is the value of x?

a)

4

b)

6

c)

2

d)

8

5.

Solve for x: 4(x - 2) = 20

a)

x = 5

b)

x = 7

c)

x = 10

d)

x = 15

6.

What is the slope of the line passing through the points (2, 5) and (4, 9)?

a)

6

b)

2

c)

4

d)

3

7.

Factorize: x^2 + 5x + 6

a)

(x + 1)(x + 6)

b)

(x + 4)(x + 2)

c)

(x + 5)(x + 1)

d)

(x + 2)(x + 3)

8.

If 2x + 3 = 11, what is the value of x?

a)

x = 10

b)

x = 5

c)

x = 4

d)

x = 3

9.

Simplify: 2(3x - 4) + 5(2x + 1)

a)

16x - 3

b)

16x + 3

c)

12x - 3

d)

6x - 3

10.

Find the value of x in the equation 4x - 9 = 15

a)

x = 6

b)

x = 10

c)

x = 12

d)

x = 4

11.

What is the y-intercept of the line given by the equation y = 2x + 3?

a)

4

b)

3

c)

5

d)

2

12.

Solve for x: 5(x + 2) = 35

a)

x = 3

b)

x = 5

c)

x = 10

d)

x = 7

13.

Expand and simplify: (2x - 3)(x + 4)

a)

2x^2 + 7x - 12

b)

2x^2 - 5x - 12

c)

2x^2 + 5x + 12

d)

2x^2 + 5x - 12

14.

If 6x - 2 = 16, what is the value of x?

a)

3

b)

5

c)

4

d)

7

15.

What is the solution to the equation 2(x - 1) = 10?

a)

x = 10

b)

x = 8

c)

x = 4

d)

x = 6

16.

Expand 2(4X-7)

a)

8x-14

b)

8x-7

c)

6x+7

d)

8x+14

17.

Simplify 8a + 3a

a)

11a

b)

a

c)

5a

d)

$a^{11}$

18.

- 9 + 7

a)

-2

b)

2

c)

16

d)

-16

19.

18 - (-4)

a)

-22

b)

4

c)

22

d)

-4

20.

Solve for b: b + 3 = 12

a)

b = 9

b)

b = 15

c)

b = 36

d)

b = 4

21.

The inverse operation of addition is

a)

multiplication

b)

addition

c)

subtraction

d)

division

22.

A symbol (usually a letter) that stands for an unknown number is a(n)

a)

equation

b)

expression

c)

variable

d)

product

23.

What would be my first step? 3 + 4 x 6 - 4 =

a)

addition

b)

multiplication

c)

subtraction

d)

exponents

24.

Factorise 4x + 14

a)

2(2x+7)

b)

4(x+10)

c)

4(x+3)

d)

2(x+12)

25.

What does 3² mean?

a)

3 x 2

b)

3 x 3

c)

2 x 2 x 2

26.

Simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

27.

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

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

28.

Solve for x:
8x - 10 = -34

a)

4

b)

3

c)

-3

d)

-24

29.

Combine like terms
3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

30.

Simplify the expression: 2x + 1 + 7x

a)

10x

b)

10

c)

9x + 1

d)

9 + 1x

31.

Simplify d + d + d + d =

a)

d⁴

b)

4d

c)

d4

d)

4 + d

32.

Simplify the following expression:
(5 + 4x) + (2x - 8)

a)

13 + 6x

b)

6x - 3

c)

6x - 13

d)

6x + 3

33.

4 + 2 x 7 BIDMAS !

a)

42

b)

14

c)

18

d)

56

34.

What does 3² mean?

a)

3 x 2

b)

3 x 3

c)

2 x 2 x 2

35.

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

a)

-3x² - 11

b)

3x² + 11

c)

11 - 3x

d)

11 + 3x

36.

5x + 3y + 5 + 4x + 3y + y + 8

a)

9x + 7y + 13

b)

6x + 2y + 2

c)

25x + 2y + 3

d)

x + 7y + 12

37.

Simplify by combining like terms:

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

Algebra Basics

Total questions: 37

Worksheet time: 52mins

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