Free Printable Solving Equations Test Review

1.

When solving the given equation you must (a) 5 on both sides.

Given: 5 - x = 7

2.

When solving the given equation you must (a) 5 on both sides.

Given: -5 + x = 7

3.

When solving the given equation what order should you complete the steps in?

Given: 3x - 7 = 17

a)

Add 7 to both sides, then divide 3 from both sides

b)

Add 7 to both sides, then multiply 3 to both sides

c)

Subtract 7 from both sides, then divide 3 from both sides

d)

Subtract 7 from both sides, then multiply 3 yo both sides

4.

Solve 3x - 7 = 17

x = (a)

5.

What is the first step in solving the given equation?

Given:

\frac{2t-3}{5}=-9

a)

Divide 2 from both sides

b)

Add 3 to both sides

c)

Multiply 5 to both sides

6.

Solve

\frac{2t-3}{5}=-9

a)

t = -21

b)

t = -24

c)

t = 21

d)

t = 24

7.

Solve.

p-5=-3+2p

a)

$p=\frac{8}{3}$

b)

p = -8

c)

p = -2

d)

p =2

8.

Which equation is equivalent to the given equation?

-3\left(4-x\right)+5x=20

a)

$-12-3x+5x=20$

b)

$12+3x+5x=20$

c)

$-12+3x+5x=20$

9.

Which equation is equivalent to the given equation?

-3\left(4-x\right)+5x=20

a)

$-12+2x=20$

b)

$-12+8x=20$

c)

$12+8x=20$

10.

Solve. x = (a)

-3\left(4-x\right)+5x=20

11.

Clay went to a sporting event with some friends. They bought 8 snacks of equal price and one drive that cost $6.89. What is the cost of one snack if the total cost was $34.49? Write and solve an equation.

a)

$220.80

b)

$3.45

c)

$5.17

d)

$27.60

12.

What is the value of n when 12n - 18 equals 5n + 10?

a)

8/7

b)

7/8

c)

4

d)

-4

13.

You are choosing between two health clubs. Club A offers membership for a fee of $45 plus a monthly fee of $30. Club B offers membership for a fee of $80 plus a monthly fee of $25. After how many months will the total cost of each health club be the same?

a)

1/7

b)

7

c)

14

d)

3.5

14.

Solve:
12 - 7x = 12x - 22x + 39

a)

1

b)

-27/17

c)

-1

d)

9

15.

Solve:
5(x - 2) - 8x = -8 + 2x + 13

a)

1

b)

11/5

c)

-3

d)

31/11

16.

Does the equation have one, none, or infinitely many solutions?
12x - 8 = 12x - 9 - 1

a)

one

b)

none

c)

infinitely many

17.

Does the equation have one, none, or infinitely many solutions?
14x + 5 - 3x = 3x + 12 + 8x - 7

a)

one

b)

none

c)

infinitely many

18.

Does the equation have one, none, or infinitely many solutions?
4(x + 3) = 2x + 18

a)

one

b)

none

c)

infinitely many

19.

A cell phone company charges $50 per month plus $0.18 per text. How many texts can you send/receive in one month for $107.60?

a)

99

b)

385

c)

28

d)

320

20.

Seven friends bought pizza. Each friend pitched in the same amount. If the pizza came to a total of $14.49, how much did each friend pay?

a)

p - 7 = $14.49

b)

7p = $14.49

c)

p + 7 = $14.49

d)

p/7 = $14.49

21.

Solve for x:

2x - 3 + 4x = 27

a)

x = -15

b)

x = 4

c)

x = 5

d)

x = 15

22.

Cadin rents a bouncy house for a birthday party. It costs $30.00 plus $4.00 per hour. If he spends a total of $78.00, how many hours did he keep the bouncy house?

a)

30.00h - 4.00 = 78.00

b)

30.00h + 4.00 = 78.00

c)

30.00 + 4.00h = 78.00

d)

30.00 - 4.00h = 78.00

23.

-3 ( f - 8 ) = 39

a)

x = -21

b)

$x\ =-15\frac{2}{3}$

c)

x = -5

d)

x = 5

24.

Solve:

$\frac{a}{3}-7=5$

a)

$a=36$

b)

$a=-4$

c)

$a=4$

d)

$a=12$

25.

Solve:

$-a+2=20$

a)

$a=18$

b)

$a=-18$

c)

$a=-10$

d)

$a=-22$

26.

Solve the equation:

2(x + 3) = 8

a)

2.5

b)

1

c)

7

d)

5.5

27.

9+2a=-3-4a

a)

a = -2

b)

a = 2

c)

a = 5

d)

a = -1

28.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

29.

Solve:
3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

Infinitely Many Solutions

30.

8v - v + 8 = 22

a)

2

b)

10

c)

4

d)

-4

31.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

32.

Solve for m:
3m - 4 = 5m + 10

a)

m = 3

b)

m = 9

c)

m = -7

d)

m = 7

33.

Solve for f:
f + 12 = 3f - 20

a)

f = 32

b)

f = -32

c)

f = 16

d)

f = -16

34.

What is the first step to solve this equation:

- 3x -11 = 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.

35.

7(2x - 4) = 42

a)

x= 5

b)

x= 8

c)

x= 2

d)

x= 9

36.

Solve:
3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

Infinitely Many Solutions

37.

3r - 5 = 2r

a)

No solution

b)

Infinitely many solutions

c)

r = 5

38.

Solve:
6(5x - 3) + 2 = 14

a)

2

b)

.5

c)

-1

d)

1

39.

Solve:
7x + 19 = -2x + 55

a)

4

b)

14.8

c)

8.2

d)

-4

40.

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

a)

1.2

b)

6

c)

-6

d)

7.5

41.

Solve:
32 - 7x = -6(x + 3)

a)

50

b)

3

c)

-3

d)

-50

42.

Solve:
2(a + 4) = 2a - 8 + 4a

a)

3

b)

-3

c)

-4

d)

4

43.

3 + (¹∕₄)a = 31

a)

a= 28

b)

a= 112

c)

a= 7

d)

a= 67

44.

Solve the equation:
^x/₃+ 10 = 15

a)

75

b)

15

c)

25

d)

5

45.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

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

a)

one

b)

no solutions

c)

infinite solutions

46.

12 (x + 3 ) = 4 (2x + 9 ) +4x

a)

No Solution

b)

One Solution

c)

Infinite Solutions

47.

4(4+4x)=96

a)

5

b)

1.5

c)

9

d)

10

48.

13= r/9 + 8

a)

45

b)

5

c)

17

d)

15

49.

Seven less than 3 times a number is 18. What is the equation?

a)

3x-7 =18

b)

7+3/x=18

c)

7-3x=18

d)

x/3-7=18

50.

Solve for x
l 4x−3 l = 17

a)

x = 5 and x =-3.5

b)

x = 0 and x = -5

c)

x = 10 and x = -10

d)

No Solution

51.

Solve for x
l x−6 l + 4= 10

a)

x = 12 and x = 0

b)

x = 3 and x = -3

c)

x = -12 and x = 0

d)

No Solution

52.

−2|−2r − 4| = -12

a)

{3,1}

b)

{-5,1}

c)

{-3}

d)

No Solution

53.

|8 - 4x| = 16

a)

x = -2, x = -6

b)

x = 2 , x = 24

c)

x = -2, x = 6

d)

No Solution

54.

Evaluate each expression.
| x + 9 | = -5

a)

-14

b)

-4

c)

{-14, -4}

d)

no solution

55.

Solve |x – 12| - 3 = 11.

a)

-2, -26

b)

-2, 26

c)

3, 25

d)

4, -7

56.

Solve for x
2 lx−4l+8=18

a)

x = 9 and x =-1

b)

x = 1 and x = -9

c)

x= 4 and x = -2

d)

No Solution

57.

Solve the following equation:

|−2n| + 10 = −50

a)

{30, −30}

b)

{20, −20}

c)

{−5, 5}

d)

No Solution

58.

Solve the following equation:

|−2n| - 30 = −20

a)

{10, −10}

b)

{20, −20}

c)

{−5, 5}

d)

No Solution

59.

8|-2x + 4| = 96

a)

x = -4, x = 8

b)

x = -4

c)

x = -4, x = -8

d)

x = 4, x = 8

60.

| 3x - 6 | - 9 = -3

a)

No Solution

b)

x = 0 and x = 4

c)

x = 2 and x = -2

d)

x = -4 and x = 4

61.

| 3n + 12 | = 2n

a)

No Solution

b)

n = -12 and n = ^-12/₅

c)

n = -12

d)

n = ^-12/₅

62.

Solve for x
l 2x−1 l = 9

a)

x = 5 and x =-4

b)

x = 5 and x = -5

c)

Only x = 5

d)

No Solution

63.

Solve the following equation:

3| −8x| + 8 = 80

a)

{−7/3, 7/3}

b)

{−3, 3}

c)

{11/3, −11/3}

d)

No Solution

64.

Solve the following equation:

|2x – 3| + 5 = 10.

a)

{−1, 1}

b)

{−1, 4}

c)

{−1, −4}

d)

{1, 4}

65.

Solve for y:

5x + y = 16

a)

y = -5x + 16

b)

y = 5x + 16

c)

y = 5y - 16

d)

y = -5x - 16

66.

Solve m - n = 5 for m.

a)

m = n + 5

b)

m = n - 5

c)

m = 5n

d)

m = 5 - n

67.

Solve -2 = 4r + s for s.

a)

s = -4r + 2

b)

s = 4r - 2

c)

s = -4r - 2

d)

s = 4r + 2

68.

Solve IR = V for R.

a)

R = IV

b)

R = ^I/_V

c)

R = ^V/_I

d)

R = V - I

69.

Solve:

y = mx + b , for b

a)

b = y - mx

b)

b = y + mx

c)

b = mx - y

d)

b = -y - mx

70.

Solve:

a - b + c = 9 , for a

a)

a = b - c + 9

b)

a = b + c - 9

c)

a = b + c + 9

d)

a = b - c - 9

71.

Solve for x.

z = xy

a)

x = ^z/_y

b)

x = ^y/_z

c)

x = yz

d)

x = z - y

72.

a = b + c , for c

a)

c = a - b

b)

c = a + b

c)

c = ab

d)

c = ^a/_b

73.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

d)

x = vy + b

74.

Solve I = prt for r.

a)

r = ^I/_pt

b)

r = ^pt/_I

c)

r = I - pt

d)

r = pt - I

75.

solve for R

pV = nRT

a)

R= pV/nT

b)

R= p/n + V/T

c)

R= pV - nT

d)

R= (pV-n)/T

76.

Solve for y:
2x + 2y = 6

a)

y = - x + 3

b)

y = x + 3

c)

y = 2x +6

d)

y = - 2x + 6

77.

ax + c = R
(solve for x)

a)

ax = R + c

b)

ax = R - c

c)

x = a(R-c)

d)

x = (R-c) / a

78.

$Solve\ for\ \ \ b\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ A=\ \frac{1}{5}bh$

a)

b= Ah

b)

b = 1/5Ah

c)

5b=Ah

d)

5A/h=b

79.

$Solve\ \ for\ \ \ h\ \ \ \ \ \ \ \ \ \ \ A=\frac{bh}{2}$

a)

2a = bh

b)

h = 2Ah

c)

h = 2A-b

d)

2A/b = h

Solving Equations Test Review

Total questions: 79

Worksheet time: 4hrs 58mins

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