Free Printable Mastering Algebraic Expressions and Equations

1.

2(c + 6) + 5c

a)

2c + 12 + 5c

b)

7c + 6

c)

7c + 12

d)

7c

2.

Simplify the expression: $3x + 5x - 2 + 4$

a)

$8x + 2$

b)

$8x - 6$

c)

$2x + 2$

d)

$3x + 7$

3.

Solve the linear equation: $2x + 3 = 11$

a)

$x = 4$

b)

$x = 5$

c)

$x = 3$

d)

$x = 6$

4.

Evaluate the expression $4y - 7$ when $y = 3$ .

a)

$5$

b)

$12$

c)

$-5$

d)

$-1$

5.

Solve the proportion: $\frac{3}{4} = \frac{x}{8}$

a)

$x = 6$

b)

$x = 5$

c)

$x = 4$

d)

$x = 2$

6.

Solve the equation with variables on both sides: $3x + 2 = 2x + 5$

a)

$x = 3$

b)

$x = 2$

c)

$x = 1$

d)

$x = 0$

7.

Solve the equation: $4x + 5 = 4x - 3$

a)

No solution

b)

$x = 0$

c)

$x = 2$

d)

Infinitely many solutions

8.

Solve the equation: $5x-2=8+5\left(x-2\right)$

a)

No solution

b)

$x = 0$

c)

$x = 1$

d)

Infinitely many solutions

9.

Combine like terms: $7a + 3b - 2a + 4b$

a)

$5a + 7b$

b)

$9a + 7b$

c)

$5a + 3b$

d)

$9a + 3b$

10.

Solve the linear equation: $5x - 7 = 3x + 1$

a)

$x = 4$

b)

$x = 3$

c)

$x = 2$

d)

$x = 1$

11.

Evaluate the expression $2x^2 - 3x + 1$ when $x = 2$ .

a)

$3$

b)

$5$

c)

$7$

d)

$9$

12.

Solve the proportion: $\frac{5}{x} = \frac{10}{15}$

a)

$x = 3$

b)

$x = 7.5$

c)

$x = 5$

d)

$x = 2$

13.

Solve the equation with variables on both sides: $6x - 4 = 2x + 8$

a)

$x = 3$

b)

$x = 2$

c)

$x = 4$

d)

$x = 5$

14.

Solve the equation: $3x+4=3\left(x+2\right)+1$

a)

No solution

b)

$x = 1$

c)

$x = 0$

d)

Infinitely many solutions

15.

Solve the equation: $2x + 3 = 2x + 3$

a)

No solution

b)

$x = 0$

c)

$x = 1$

d)

Infinitely many solutions

16.

Combine like terms: $4m - 2n + 5m + 3n$

a)

$9m + n$

b)

$9m + 5n$

c)

$m + n$

d)

$m + 5n$

17.

Solve the linear equation: $7x + 2 = 3x + 10$

a)

$x = 2$

b)

$x = 3$

c)

$x = 4$

d)

$x = 5$

18.

Evaluate the expression $3x^2 - 4x + 2$ when $x = 1$ .

a)

$1$

b)

$2$

c)

$3$

d)

$4$

19.

Solve the proportion: $\frac{7}{x} = \frac{14}{28}$

a)

$x = 14$

b)

$x = 7$

c)

$x = 4$

d)

$x = 2$

20.

Solve the equation with variables on both sides: $8x + 3 = 5x + 9$

a)

$x = 2$

b)

$x = 3$

c)

$x = 4$

d)

$x = 5$

21.

Solve the equation: $4x + 5 = 4x + 2$

a)

No solution

b)

$x = 1$

c)

$x = 0$

d)

Infinitely many solutions

22.

Solve the equation: $5x - 3 = 5x - 3$

a)

No solution

b)

$x = 0$

c)

$x = 1$

d)

Infinitely many solutions

23.

Combine like terms: $9p + 4q - 3p + 2q$

a)

$6p + 6q$

b)

$12p + 6q$

c)

$6p + 2q$

d)

$12p + 2q$

24.

Solve the linear equation: $9x - 4 = 5x + 8$

a)

$x = 3$

b)

$x = 4$

c)

$x = 5$

d)

$x = 6$

25.

Evaluate the expression $5x^2 - 6x + 3$ when $x = 0$ .

a)

$3$

b)

$-3$

c)

$0$

d)

$6$

26.

Solve the proportion: $\frac{9}{x} = \frac{18}{24}$

a)

$x = 12$

b)

$x = 9$

c)

$x = 6$

d)

$x = 3$

27.

Solve the equation with variables on both sides: $10x + 5 = 7x + 14$

a)

$x = 3$

b)

$x = 2$

c)

$x = 1$

d)

$x = 0$

28.

Solve the equation: $6x + 4 = 6x + 7$

a)

No solution

b)

$x = 1$

c)

$x = 0$

d)

Infinitely many solutions

29.

Use the distributive property to simplify: $4(a + 3) + 2a$

a)

$6a + 12$

b)

$4a + 12$

c)

$6a + 3$

d)

$4a + 3$

30.

Simplify the expression using the distributive property: $5(2x - 4) + 3x$

a)

$10x - 20 + 3x$

b)

$13x - 20$

c)

$10x - 4 + 3x$

d)

$13x - 4$

31.

Apply the distributive property to simplify: $3(2y + 5) - 4y$

a)

$6y + 15 - 4y$

b)

$2y + 15$

c)

$6y + 5 - 4y$

d)

$2y + 5$

32.

Simplify: 5(y + 10)

33.

Simplify $3x+4-7-2x$

34.

Simplify: 12 + 4(x - 5) + 7x

35.

Simplify: -7 - (x - 8) - 8x + 3

36.

Simplify $2x^2\left(x-2\right)+4x\left(x+2\right)-2\left(x-3\right)$

37.

Solve for x.

38.

What is the solution to 10 − 3(m − 5) = 2(5 − m)?

39.

Solve the equation.

40.

Evaluate: 12 + 7(-2h - 3) for h = -3

41.

Evaluate: 10 - (3h + 2) for h = 3

42.

$\frac{d+3}{4}=\frac{6}{12}$

d is equal to (a)

43.

Solve the following proportion:

$\frac{3}{2}=\frac{2x+1}{x}$

(a)

44.

a)

1.3

b)

14

c)

4.8

d)

3.6

45.

a)

-7.6

b)

3

c)

12

d)

3.745

46.

a)

14

b)

18

c)

10

d)

9

47.

Solve for x.

a)

6

b)

5

c)

18.5

d)

1.83

48.

What is the value of "g" in this proportion?

a)

16

b)

17

c)

18

d)

19

Mastering Algebraic Expressions and Equations

Total questions: 48

Worksheet time: 47mins

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