Free Printable Math 7 - Solving Algebraic Equations

1.

What is the first step in solving the following equation?
3x - 5 = 20

a)

multiply both sides by 5

b)

add 5 to both sides

c)

divide both sides by 5

d)

subtract both sides by 5

2.

6 = a/4 + 2

a)

16

b)

15

c)

14

3.

7(9 + K)= 84
k =____________

a)

3

b)

-3

c)

5

4.

-9x-13= -103

a)

15

b)

10

c)

12

5.

The goal of solving two-step equations is to:

a)

Frances

b)

Find the coefficient

c)

Find the value of the variable

6.

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.

7.

Solve
-7+ 2x = -23

a)

x = -8

b)

x = 8

c)

x = 13

d)

x = -13

8.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

9.

15 - 2b = -9

a)

10

b)

-12

c)

12

d)

10

10.

6 + n/5 = -4

a)

-50

b)

56

c)

50

d)

56

11.

10 = s/2 +7

a)

-6

b)

6

c)

3/2

d)

-3/2

12.

13 = 11 - 4x

a)

-2

b)

1/2

c)

-1/2

d)

2

13.

What would the inverse operation be?
$14=3q$

a)

addition

b)

subtraction

c)

multiplication

d)

division

14.

What would the inverse operation be?
$25=r-4$

a)

addition

b)

subtraction

c)

multiplication

d)

division

15.

What would the inverse operation be?
$\frac{r}{7}=15$

a)

addition

b)

subtraction

c)

multiplication

d)

division

16.

What would the inverse operation be?
$y-9=47.8$

a)

addition

b)

subtraction

c)

multiplication

d)

division

17.

What is the first step in solving the equation 2a - 4(a - 5) = 10

a)

Add 4 to both sides

b)

Add the 2a and a

c)

Distribute 4 to a and -5

d)

Distribute -4 to a and -5

18.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

19.

2x + 3(5x - 7) = 47

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

20.

2 + 14a = -8 + 9a

a)

-2

b)

3

c)

5

d)

-10

21.

12+5w-4w=15

a)

w=1

b)

w=3

c)

w=5

d)

w=4

22.

22 + 2a = 37 + 6 + a

a)

21

b)

-21

c)

5

d)

6

23.

10(h+1)-4=76

a)

h=10

b)

h=4

c)

h=7

d)

h=76

24.

Solve. -2n - 4 = 32

a)

18

b)

0

c)

16

d)

-18

25.

Solve for w:
-6w + 1 = -11

a)

2

b)

1.2

c)

12

d)

-2

26.

Solve:
3(x - 2) = 18

a)

6.7

b)

4

c)

8

d)

-4

27.

An expression has an equals sign.

a)

True

b)

False

28.

Which of the following has an equals sign?

a)

Equation

b)

Expression

29.

Inverse means

a)

Opposite

b)

Oposite

c)

Appasite

d)

Samsies

e)

Opisite

30.

Which of the following inverse operations is incorrect?

a)

inverse of addition is subtraction

b)

inverse of multiplication is division

c)

inverse of division is squaring

d)

inverse of multiplication is division

31.

How do we solve f - 12 = -4

a)

add -12 to both sides

b)

subtract 12 from both sides

c)

add 12 to both sides

d)

add 4 to both sides

32.

How do we solve -2k = -100?

a)

multiply by 2 on both sides

b)

divide by 2 on both sides

c)

add 100 to both sides

d)

divide by -2 on both sides

33.

7 + g = 11

a)

g = 4

b)

g = -4

c)

g = 18

d)

g = -18

34.

z/4 = -8

a)

z = -32

b)

z = 32

c)

z = 2

d)

z = -2

35.

What is the Inverse Operation of Addition?

a)

Subtraction

b)

Multiplication

c)

Addition

d)

Division

36.

What is the Inverse Operation for Multiplication?

a)

Division

b)

Addition

c)

Subtraction

37.

Solve the equation:
4p = 16

a)

p = 12

b)

p = 64

c)

p = 3

d)

p = 4

38.

$-3x=-9$

a)

x=-3

b)

x=-6

c)

x=12

d)

x=3

39.

$17+x=-5$

a)

$x=-22$

b)

$x=22$

c)

$x=-12$

d)

$x=12$

40.

Solve for the unknown variable:

$m+9=2$

a)

m = -7

b)

m = 0

c)

m = 7

d)

m = 2/9

Math 7 - Solving Algebraic Equations

Total questions: 40

Worksheet time: 7hrs 39mins

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