Free Printable GEOM ALG REV Solving Equations

1.

12x = 144

a)

x = 12

b)

x = 4

c)

x = 2

d)

x = 132

2.

3y = -15

a)

-5

b)

5

c)

-3

d)

3

3.

-4x + 1 = 21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

4.

-6x = 18

a)

3

b)

-3

c)

6

d)

-6

5.

-6x = 18

a)

3

b)

-3

c)

6

d)

-6

6.

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.

7.

What operation would you perform first and then second when solving for m in the following equation?

10 + 7m = 17

a)

subtract 10, divide by 7

b)

divide by 7, subtract 10

c)

multiply by 7, add 10

d)

add 10, multiply by 7

8.

The steps in solving 5b - 6 = 24 are:

a)

Add 6 to both sides and divide both sides by 5

b)

Add 6 to both sides and multiply both sides by 5

c)

Subtract 6 from both sides then multiply both sides by 5

d)

Subtract 6 from both sides then divide both sides by 5

9.

Solve for a:

-3a + 8 = 14

a)

a = -2

b)

a = -7.5

c)

a = 2

d)

a = 6

10.

Solve for x:

2x - 3 = 1

a)

x = 3

b)

x = 2

c)

x = 1

d)

x = -2

11.

Solve for b:
-11 + 3(b + 5) = 7

a)

b = 1

b)

b = -1

c)

b = 3

d)

b = -3

12.

Solve for x:

2x -1(3+4x) = 11

a)

x = -4

b)

x = 7/3

c)

x = -7

d)

x = -17/8

13.

Solve for a:

-8(-4+a) + 3(2a+1) = -19

a)

a = 27

b)

a = -27

c)

a = 3.86

d)

a = 1.67

14.

Solve for k:

38 + 7k = 8(k + 4)

a)

k = 6

b)

k = 8

c)

k = -6

d)

k = 1

15.

What is the solution of 3w = 30

a)

6

b)

9

c)

10

d)

12

16.

What is the solution of r - 11 = 5

a)

11

b)

14

c)

15

d)

16

17.

Solve the equation.
150 + y = 879

a)

y = 729

b)

y = 150

c)

y = 1,029

d)

y = - 729

18.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

19.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

20.

3 + (¹∕₄)a = 31

a)

a= 28

b)

a= 112

c)

a= 7

d)

a= 67

21.

0 = 8z + 8

a)

-1

b)

1

c)

0

d)

8

22.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

23.

a)

15

b)

3

c)

-15

d)

-3

24.

3b + 6b = 63

a)

-7

b)

9

c)

7

d)

21

25.

2(y - 4) = 16

a)

10

b)

12

c)

4

d)

48

26.

Solve for b:
3(b - 4) = -3

a)

b = 3

b)

b = -3

c)

b = 5

d)

b = -5

27.

8 + 7x = 9 - 5x + 11

a)

1

b)

-1

c)

2

d)

3

28.

Solve.

-x-11 = 2x+4

a)

-5

b)

3

c)

All Real Numbers

d)

5

29.

Isolate the variable means...

a)

Move the variable to the other side

b)

Get the variable by itself

30.

-72 = 6(n + -2)

a)

10

b)

35/3

c)

-10

d)

other

31.

The drama club sold tickets to a play for $5 each. They also made $55 in soda and popcorn sales. If the drama club made a total of $290, how many tickets were sold?

a)

47

b)

58

c)

69

d)

113

32.

Solve:

$\frac{x}{-4}$ = 9

a)

13

b)

36

c)

-36

d)

$\frac{-4}{9}$

33.

6x + 9 – x = 3x + 9 + x

a)

No Solution

b)

One Solution

c)

Infinite Solutions

34.

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

a)

No Solution

b)

x = 15

c)

Infinitely Many Solutions

35.

What is the definition of no solution?

a)

no matter what constant is substituted in for the variable, the equation is ALWAYS true

b)

no matter what constant is substituted in for the variable, the equation will NEVER be true

c)

only this ONE solution will make the equation true

36.

What is the definition of one solution?

a)

no matter what constant is substituted in for the variable, the equation is ALWAYS true

b)

no matter what constant is substituted in for the variable, the equation will NEVER be true

c)

only this ONE solution will make the equation true

37.

What is the definition of infinite solutions?

a)

no matter what constant is substituted in for the variable, the equation is ALWAYS true

b)

no matter what constant is substituted in for the variable, the equation will NEVER be true

c)

only this ONE solution will make the equation true

38.

Reduce the following fraction:
16/20 =

a)

8/10

b)

4/5

c)

1/2

d)

16/20

39.

Solve:
-6 x (-5)

a)

-30

b)

36

c)

30

d)

-36

40.

Reduce the following fraction:
25/55

a)

2.5/5.5

b)

1/3

c)

5/11

d)

3/5

41.

What fraction is red?

a)

1/4

b)

2/4

c)

3/4

d)

4/4

42.

⁴⁄₅× ¹⁰⁄₁₂=

a)

⁴⁰⁄₅₀

b)

¹⁄₃

c)

⁵⁰⁄₄₈

d)

²⁄₃

43.

³⁄₄÷ ¹⁄₂=

a)

³⁄₂

b)

⁶⁄₈

c)

³⁄₈

d)

¹⁄₂

44.

²⁄₅÷ ²⁄₅=

a)

⁴⁄₁₀

b)

²⁄₅

c)

1

d)

5

45.

\frac{3}{6}\div\ \frac{4}{5}

a)

$\frac{12}{30}$

b)

$\frac{15}{24}$

c)

$\frac{18}{24}$

d)

$\frac{24}{15}$

46.

What is

$\frac{1}{4}\div\ \frac{4}{5}$

a)

$\frac{1}{5}$

b)

$\frac{5}{16}$

c)

$\frac{4}{1}$

d)

$\frac{3}{4}$

47.

a)

12/7

b)

29/7

c)

28/7

d)

4/7

48.

a)

17/8

b)

20/8

c)

40/8

d)

35/8

49.

What is 1/3 x 7?

a)

7/3

b)

3/7

c)

1 3/7

d)

1/21

50.

Solve.
1/3 • 18=

a)

18

b)

1/3

c)

108

d)

6

51.

Solve.
1/4 of 12=

a)

48

b)

1/12

c)

3

d)

4

52.

9/12 + 3/12

a)

12/2

b)

1

c)

12

d)

1/2

53.

a)

5/14

b)

3/7

c)

5/7

d)

5/14

54.

Multiply these fractions
5 x 10/3

a)

10 / 15

b)

15 / 10

c)

2 / 3

d)

50 / 3

55.

Divide these fractions
2/3 ÷ 3/4

a)

8 / 9

b)

2 / 1

c)

6 / 6

d)

.333 / .75

56.

Solve for x.
-2x = 3/4

a)

1/8

b)

-1/8

c)

5/8

d)

-3/8

GEOM ALG REV Solving Equations

Total questions: 56

Worksheet time: 5hrs 40mins

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