Quiz about Solving Equations - One Step, Two Step, Distributive Property, and Variables on Both Sides

Question 1

What property must you do to eliminate the parentheses in an equation?

Accepted Answer

Distributive Property

Answer

Multiplication Property

Answer

Associative Property

Answer

Commutative Property

Question 2

What is the first step to solve this equation:
11 - 3x = 44

Accepted Answer

Subtract 11 from both sides

Answer

Add 3 to both sides

Answer

Add 11 to both sides

Answer

Divide 3 on both sides.

Question 3

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

Accepted Answer

Add 6 to both sides and divide both sides by 5

Answer

Add 6 to both sides and multiply both sides by 5

Answer

Subtract 6 from both sides then multiply both sides by 5

Answer

Subtract 6 from both sides then divide both sides by 5

Question 4

-4x+1=21

Accepted Answer

x=-5

Answer

x=120

Answer

x=5

Answer

x=30

Question 5

20 = 2 - a

Accepted Answer

a= -18

Answer

a= 18

Answer

a= -10

Answer

a= 12

Question 6

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

Accepted Answer

add 5 to both sides

Answer

multiply both sides by 5

Answer

divide both sides by 5

Answer

subtract both sides by 5

Question 7

2 (n + 5) = -2 The first step in solving the following equation is ____________

Accepted Answer

distribute 2 to all terms in the parenthesis

Answer

add five to both sides

Answer

add 2

Question 8

7(9 + K)= 84
k =____________

Accepted Answer

3

Answer

-3

Answer

5

Question 9

-3m = -18

Accepted Answer

6

Answer

-6

Answer

4

Question 10

The goal of solving two-step equations is to:

Accepted Answer

Find the value of the variable

Answer

francine

Answer

Find the coefficient

Question 11

x - 8 = -5

Accepted Answer

3

Answer

13

Answer

-13

Answer

-3

Question 12

how would you solve this equation: 9x=153?

Accepted Answer

divide

Answer

multiply

Answer

add

Answer

subtract

Question 13

Which equation has x = 5 as the solution?

Accepted Answer

2x = 10

Answer

x + 15 = 10

Answer

2x = 5

Question 14

Question 14.

Accepted Answer

x = 10

Answer

x = 20

Answer

x = 7

Answer

x = 3

Question 15

What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.

Accepted Answer

v + 4 = 10

Answer

v - 4 = 10

Answer

10 - 4 = v

Answer

Answer not Given

Question 16

2( x + 9)

Accepted Answer

2x + 18

Answer

18x

Answer

9x

Question 17

Question 17.

Accepted Answer

50

Answer

-12.5

Answer

-50

Answer

12.5

Question 18

What is the solution of 6d = 24

Accepted Answer

d = 4

Answer

d = 5

Answer

d = 18

Answer

d = 144

Question 19

Translate the statement into an equation:

Five less than a number is 6

Accepted Answer

n - 5 = 6

Answer

5 - n = 6

Answer

6 - 5 = 1

Question 20

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

Accepted Answer

Add 6 to both sides and divide both sides by 5

Answer

Add 6 to both sides and multiply both sides by 5

Answer

Subtract 6 from both sides then multiply both sides by 5

Answer

Subtract 6 from both sides then divide both sides by 5

Question 21

10x + 9 = 4x - 9

Accepted Answer

-3

Answer

0

Answer

3

Answer

-18

Question 22

f - 4 = 6f + 26

Accepted Answer

-6

Answer

-5

Answer

5

Answer

6

Question 23

Solve:
7x = 3x + 24

Accepted Answer

6

Answer

10

Answer

14

Answer

4

Question 24

In the equation 4y +-9 =-36
y = -4

Accepted Answer

False

Answer

True

Question 25

What was done to solve the equation?

(Line 1) 5x - 8 = 32

(Line 2) 5x = 40

(Line 3) x = 8

Accepted Answer

add 8 to both sides, then divide both sides by 5

Answer

add 8 to both sides, then divide both sides by 40

Answer

subtract 8 from both sides, then divide both sides by 5

Answer

subtract 8 from both sides, then multiply both sides by 5

Question 26

Where/what is the mistake?

Accepted Answer

Line 4 - You should multiply both sides by the reciprocal.

Answer

Line 2 - You should add 12 to both sides.

Answer

Line 4 - You should multiply both sides by the original fraction.

Answer

Line 5 - There was a calculation error.

Question 27

Solve for x.

2(x + 15) = -6

Accepted Answer

x = -18

Answer

x = -10.5

Answer

x = 18

Answer

x = 10.5

Question 28

Solve for y.

6(y - 5) = 21

Accepted Answer

x = 8.5

Answer

x = 4.16

Answer

x = -1.5

Answer

x = 306

Question 29

2x = x + 3

Accepted Answer

3

Answer

6

Answer

2

Answer

x

Question 30

The variable, k, is being divided by 11. How should you show your work to isolate the variable?

Accepted Answer

Multiply both sides by 11.

Answer

Divide both sides by 11

Answer

Add 11 to both sides.

Answer

Subtract 11 to both sides.

Question 31

r - 18 = 27

Accepted Answer

45

Answer

-45

Answer

-9

Answer

9

Question 32

Which equation has w = 8 as the solution?

Accepted Answer

8w= 64

Answer

16w = 240

Answer

16 - w = 9

Answer

4 + w = 10

Question 33

Solve the equation
3x = 27.

Accepted Answer

x = 9

Answer

x = 24

Answer

x = 81

Question 34

6b = 30

Accepted Answer

x = 5

Answer

x = 36

Answer

x = 24

Answer

x = 180

Question 35

What is the inverse operation of division?

Accepted Answer

Multiplication

Answer

Division

Answer

Addition

Answer

Subtraction

Question 36

Chris is ordering new cars for his dealership. He wants to have a total of 350 cars on the lot and already has 137 cars. He uses the equation

x+137=350

to find the number of cars he should order. What would be his first step to solve this equation?

Accepted Answer

Subtract 137 from both sides.

Answer

Add 137 to both sides.

Answer

Add 350 to both sides.

Answer

Subtract 350 from both sides.

Question 37

Which best describes how to solve the equation for the variable, x, in one step?
$x+137=350$

Accepted Answer

Subtract c from both sides of the equation.

Answer

Subtract d from both sides of the equation.

Answer

Subtract c from x.

Answer

Subtract x from d.

Question 38

What is the solution?

Accepted Answer

x = -15

Answer

x = 22.

Answer

x = 41

Answer

x = 85

Question 39

Question 39.

Accepted Answer

6

Answer

-6

Answer

16/3

Answer

216

Question 40

Question 40.

Accepted Answer

18

Answer

-42

Answer

24

Answer

-24

Question 41

Question 41.

Accepted Answer

16

Answer

9

Answer

12

Answer

14

Solving Equations - One Step, Two Step, Distributive Property, and Variables on Both Sides

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