Free Printable Practice Solving Equations

1.

Write an algebraic expression for n cubed.

(a)

2.

$\frac{5}{8}x+2=17$

a)

x = -24

b)

x = 50

c)

x = 24

d)

x = -50

3.

Solve.

a)

x = 12

b)

x = 24

c)

x = 4

d)

x = 9

4.

Solve.

a)

n = 9

b)

n = 18

c)

n = 21

d)

n = 3

5.

(a - 7.3) / 4.5 = 2.4

a)

-18.1

b)

18.1

c)

43.64

d)

-43.65

6.

Determine the type of solution you will have if you get
-6=6

a)

one solution

b)

infinite solution=identity

c)

no solution

d)

I don't know. I need to study.

7.

$5x+4=5x+4$

a)

one solution

b)

no solution

c)

infinite solutions

8.

Determine the type of solution you will have if you get
x=0.25

a)

one solution

b)

infinite solution=identity

c)

no solution

d)

I don't know. I need to study.

9.

$x+9\ =\ x-9$

a)

one solution

b)

no solution

c)

infinite solutions

10.

$24\ =\ 3\left(3x\ -7\right)$

a)

$x\ =\ -9$

b)

$x\ =\ 5$

c)

$x\ =3$

d)

$x\ =\ 7$

11.

$r\ +\ 11\ +\ 8r\ =\ 29$

a)

$r\ =0$

b)

$r\ =\ 1$

c)

$r\ =\ 2$

d)

$r\ =\ 3$

12.

4x + 10 = -26

a)

4

b)

-4

c)

-9

d)

9

13.

$-5\left(4x\ -\ 2\right)\ =\ -2\left(3\ +6x\right)$

a)

$x\ =\ 2$

b)

$x\ =\ 8$

c)

$x\ =\ -2$

d)

$x\ =\ -8$

14.

Solve the equation:
3(x - 1) = 2x + 9

a)

x = 12

b)

no solution

c)

x = 10

d)

x = 6

15.

Which of the equations has no solution?

a)

2x + 1 = 5x - 3

b)

2(x - 7) = 2x-14

c)

3(2x+1) = 6x+1

d)

15x - 30 = 0

16.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

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.

2 + 14a = -8 + 9a

a)

-2

b)

3

c)

5

d)

-10

19.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

20.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

21.

Solve for x.

\frac{3}{4}\left(x-4\right)=-\frac{1}{4}\left(x-16\right)

(a)

22.

solve

a)

k=20.6

b)

k=53.9

c)

k=2.1

d)

k=-2.1

23.

3 ( a + 22 ) = 12a + 30

a)

a = 8

b)

a = 2

c)

a = 4

d)

a = -2

24.

12k + 15 = 35 +2k

a)

k = 2

b)

k = 4

c)

k = -2

d)

k = -4

25.

Solve for x:

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

a)

x = 6

b)

x = -14

c)

x = 9

d)

x = 28

26.

Solve for x:

3 ( a + 22 ) = 12a + 30

a)

a = 8

b)

a = 2

c)

a = 4

d)

a = -2

27.

Solve: 2(4x - 3) - 8 = 4 + 2x

(a)

28.

is 7 a solution to the equation
3x+8-x=5x-4

a)

yes

b)

no

c)

maybe

29.

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

30.

2d + 7 = 9

a)

1

b)

7

c)

4

d)

3

31.

3a + 9 + 4a = 2

a)

-1

b)

1

c)

no solution

d)

-7

32.

$50\ =-5\left(6n\ +\ 8\right)$

a)

$n\ =9$

b)

$n\ =\ -3$

c)

$n\ =-10$

d)

$n\ =\ -20$

33.

The objective when solving an equation is to....

a)

isolate the variable.

b)

check the solution.

c)

guess and check.

d)

Combine Like Terms.

34.

Solve.
$-6n\ -2n\ =\ 16$

a)

$n\ =\ -2$

b)

$n\ =\ 2$

c)

$n\ =\ 8$

d)

$n=\ -8$

35.

Solve:

2(2x + 3) = -6(x + 9)

a)

1.2

b)

6

c)

-6

d)

7.5

36.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

37.

Which equation will end in "no solution"?

a)

2w - 11 = 3w + 5

b)

2(w + 8) = 2(2w - 19)

c)

w + 7 + w = 2w - 9

d)

2w - 6 = 2(w - 10) + 5w

38.

Solve the equation:
4 - 6x - 2= -2(3x-1)

a)

no solution

b)

infinitely many solutions

c)

x = ⅓

d)

x = 4

39.

$5\left(2x\ +\ 6\right)\ =\ -4\left(-5\ -2x\right)+\ 3x$

a)

$x\ =-20$

b)

$x\ =\ 20$

c)

$x\ =-10$

d)

$x\ =\ 10$

40.

a)

A

b)

B

c)

C

d)

D

41.

the product of x and sixteen

a)

x + 16

b)

x - 16

c)

16x

d)

x/16

42.

Mike is 6 years younger than Iris. What expression can be used to find Mike’s age?

a)

6 + a

b)

6 - a

c)

a - 6

d)

6a

43.

Six more than some number equals 52

a)

6 + x = 52

b)

6 + 52 = x

c)

6x = 52

d)

6x + 52 =

44.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

45.

3 increased by 9

a)

2 * 3

b)

3 + 9

c)

9 ^ 3

d)

3 / 9

46.

the difference of 13 and 4

a)

13 - 4

b)

13 * 4

c)

13 ^ 4

d)

13 / 4

47.

Translate this phrase into an algebraic expression.

the difference of 3 times a number and 7

a)

3(7 - n)

b)

3n - 7

c)

3n + 7

d)

3 / 7n

48.

Which algebraic expression best represents the following verbal expression?

two more than three times a number

a)

3n – 2

b)

3n + 2

c)

3 + 2n

d)

3 – 2n

49.

What does "quotient" mean?

a)

add

b)

subtract

c)

multiply

d)

divide

50.

Write an algebraic expression for:

20 divided by c

a)

$20\div c$

b)

$\frac{c}{20}$

c)

$\frac{20}{c}$

d)

$20c$

51.

Three times a number increased by nine

a)

3h-9

b)

3(h-9)

c)

3(h+9)

d)

3h+9

52.

Translate this phrase into an algebraic expression.
Eight less than the product of four and a number.
Use the variable m to represent the unknown number.

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

53.

Translate this phrase into an algebraic expression.
The difference of 100 and the sum of 6 and w

a)

100 - 6 + w

b)

100 / (6 + w)

c)

100 - (6 + w)

d)

100 / 6 + w

54.

Translate this phrase into an algebraic expression.
Four divided by the sum of a number and twelve.

a)

4 / n + 12

b)

4 / 12n

c)

4 / (n + 12)

d)

(4 / n) + 12

55.

Write a verbal expression for:
2a+6

a)

6 more than the twice a number

b)

6 less than the product of 2 times a

c)

6 more than the quotient of 2 and a

d)

twice the sum of a and 6

56.

What word phrase can you use to represent "5x + 2"?

a)

five times the sum of a number x and two

b)

two times the sum of a number x and five

c)

a number x times the sum of five and two

d)

the sum of five times a number x and two

Practice Solving Equations

Total questions: 56

Worksheet time: 3hrs 35mins

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