Quiz about Combine like terms and Solving Equations

Question 1

7x = 3x + 24

Accepted Answer

6

Answer

10

Answer

14

Answer

4

Question 2

Simplify the following expression:
-8(5b + 2) - 7(b - 5)

Accepted Answer

-47b - 19

Answer

-33b + 19

Answer

-47b² + 21

Answer

33b - 19

Question 3

-8y = -3y -15

Accepted Answer

3

Answer

-3

Answer

5

Answer

-5

Question 4

7w + 5 = 3w - 15

Accepted Answer

5

Answer

-2

Answer

2

Answer

-5

Question 5

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

Accepted Answer

x = 3

Answer

x = 5/3

Answer

x = 1

Answer

x = 2

Question 6

Solve:
5y + 34 = -2(-7y + 1)

Accepted Answer

y = 4

Answer

y = -4

Answer

y = 9

Answer

y = 36/19

Question 7

Solve the equation:
12x - 15 = 3(2x + 3)

Accepted Answer

x = 4

Answer

x = -4

Answer

x = 2

Answer

x = -2

Question 8

Solve using a T-chart.
6(4x+2) = 3(8x+4)

Accepted Answer

Identity

Answer

No Solution

Answer

12

Answer

6

Question 9

Simplify the expression: 2x + 1 + 7x

Accepted Answer

9x + 1

Answer

10x

Answer

10

Answer

9 + 1x

Question 10

Simplify the following expression:
(5 + 4x) + (2x - 8)

Accepted Answer

6x - 3

Answer

13 + 6x

Answer

6x - 13

Answer

6x + 3

Question 11

Simplify the following expression:
19 - (3 - 5b)

Accepted Answer

16 + 5b

Answer

21 + 5b

Answer

16 - 5b

Answer

21 - 5b

Question 12

Solve: -3 ( f - 8 ) = 39

Accepted Answer

-5

Answer

-21

Answer

-10.3

Answer

5

Question 13

5x - 4 + 2x = 3

Accepted Answer

1

Answer

2

Answer

3

Answer

4

Question 14

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

Accepted Answer

x = 12

Answer

no solution

Answer

x = 10

Answer

x = 6

Question 15

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

Accepted Answer

infinite solutions

Answer

x = 1

Answer

x = -1

Answer

no solution

Question 16

3(x - 6) + 2x = 22

Accepted Answer

x = 8

Answer

x = 2

Answer

x = 18

Answer

x = 3

Question 17

Solve for m:
7m = -35

Accepted Answer

m = -5

Answer

m = 5

Answer

m = 245

Answer

m = -245

Question 18

Simplify
-4(y + 6)

Accepted Answer

-4y - 24

Answer

-4y + 24

Answer

4y - 24

Answer

4y + 24

Question 19

Solve for f:
-2f + 6 = 10

Accepted Answer

f = -2

Answer

f = 2

Answer

f = 8

Answer

f = -8

Question 20

Simplify
3(x + 1)

Accepted Answer

3x + 3

Answer

3x - 1

Answer

3 + 3

Answer

3x + 1

Question 21

Simplify
-10x - 3(x - 2)

Accepted Answer

-13x + 6

Answer

13x + 6

Answer

-10x - 3x + 6

Answer

-10x - 6

Question 22

Solve for x:
2(x + 6) = 10

Accepted Answer

x = 2

Answer

x = 10

Answer

x = -2

Answer

x = -10

Question 23

Use the distributive property to write an equivalent expression.
5(b + 8)

Accepted Answer

5b + 40

Answer

b + 40

Answer

5b - 40

Answer

5b + 8

Question 24

Simplify by combining like terms:
5a + 2b - 3a + 4

Accepted Answer

2a + 2b + 4

Answer

8a + 2b + 4

Answer

8ab

Answer

4ab + 4

Question 25

Simplify the expression:
2x + 1 + 7x

Accepted Answer

9x + 1

Answer

10x

Answer

10

Answer

9 + 1x

Question 26

Simplify:
3m + 12m

Accepted Answer

15m

Answer

3m

Answer

12m

Answer

9m

Question 27

Simplify:
2(y + 4)

Accepted Answer

2y + 8

Answer

y + 4

Answer

2y + 4

Answer

y + y + 8

Question 28

Simplify:
6(1 + z) + 3z

Accepted Answer

6 + 9z

Answer

6 + 4z

Answer

6 + 6z

Answer

6 + z

Question 29

Which of these numbers are coefficients in the following expression?
3x + 7 - 4y + 9 - 2

Accepted Answer

3

Answer

7

Answer

-2

Answer

9

Question 30

Which of these numbers are constants in the following expression?
8a - 9 + 4b + 12c - 6a

Accepted Answer

-9

Answer

8

Answer

9

Answer

12

Question 31

Which of these terms can be combined?
9a + 3b - 7 + 8a² - 3a

Accepted Answer

9a, -3a

Answer

9a, 8a2

Answer

3b, -7

Answer

-7, -3a

Question 32

Simplify the following expression:
8x + 9y - 10 + 4x

Accepted Answer

12x + 9y - 10

Answer

12x - y

Answer

11xy

Answer

12x² + 9y - 10

Question 33

Simplify the following expression:
9(2a + 10) - 3a + 4

Accepted Answer

15a + 94

Answer

21a + 94

Answer

15a + 23

Answer

21a + 23

Question 34

Solve for x:
x/3 + 9 = 6

Accepted Answer

-9

Answer

45

Answer

9

Answer

-1

Question 35

Solve
-5t + 9 = 24

Accepted Answer

t = -3

Answer

t = 3

Answer

t = 6

Answer

t = 12

Question 36

Evaluate the expression. Let c = 3 and d = 2
3c + 7d

Accepted Answer

23

Answer

27

Answer

21

Answer

29

Question 37

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

Accepted Answer

Subtract 11 from both sides

Answer

Divide -3 on both sides

Answer

Add 3 to both sides

Answer

Add 11 to both sides

Question 38

-6(8x-7)=522

Accepted Answer

x=-10

Answer

x=109

Answer

x=10

Answer

x=4

Question 39

Which expression represents the perimeter of the triangle?

Accepted Answer

4x + 4y + 5

Answer

6xy + 7

Answer

6x + 2y + 5

Answer

10xy + x + 2y

Question 40

Which expression represents the area of the rectangle?

Accepted Answer

12x - 2

Answer

12x - 1

Answer

8x - 2

Answer

36x2 - 2

Question 41

Applying the distributive property to the expression 24x + 18y will produce which equivalent expression?

Accepted Answer

6(4x + 3y)

Answer

3xy(8 + 6)

Answer

6(4 + 3y)

Question 42

Simplify the following expression:
19 - (3 - 5b)

Accepted Answer

16 + 5b

Answer

21 + 5b

Answer

16 - 5b

Answer

21 - 5b

Question 43

Solve the equation:
x + 7 = 12

Accepted Answer

x = 5

Answer

x = 19

Answer

x = -5

Answer

x = 84

Question 44

In the equation
x + 7 = 12
7 is being added to the variable x. How should you show your work to isolate the variable and solve the equation?

Accepted Answer

Subtract 7 from both sides. The solution is x = 5.

Answer

Add 7 to both sides. The solution is x = 19.

Answer

Multiply both sides by 7. The solution is x = 84.

Question 45

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 from both sides.

Question 46

What is the difference between an expression and an equation?

Accepted Answer

Expressions do not have an equal sign and equations do have an equal sign

Answer

Expressions have an equal sign and equations do not have an equal sign

Answer

There is not a difference

Answer

Expressions do not have variables and equations have variables

Question 47

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 5 from both sides

Question 48

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 49

7(x + 2) + 3 = 73 Step 1: Distribute
7x + 14 + 3 = 73 Step 2: Combine like terms
7x + 17 = 73 Step 3: Subtract 17
Step 4: Divide by 7

Accepted Answer

x = 8

Answer

x = -8

Answer

x = - 12.86

Answer

x = 12.86

Question 50

Solve:

$$\frac{x}{8}+6=32$$

Accepted Answer

$$x=208$$

Answer

$$x=40$$

Answer

$$x=5$$

Answer

$$x=38$$

Question 51

Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...

Accepted Answer

Inverse operations

Answer

math

Answer

variable

Answer

PEMDAS

Question 52

What is the first step (after setting up your workspace) to complete when solving this equation?
10 - 3y = 4

Accepted Answer

Subtract 10

Answer

Add 10

Answer

Add 3

Answer

Divide by -3

Question 53

Solve: -4 - 2q = 6

Accepted Answer

q = -5

Answer

q = 5

Answer

q = -1

Answer

q = 1

Question 54

Select all that are true for solving one-variable equations:

Accepted Answer

Anything you do to one side must also be done to the other to keep the equation balanced.

Accepted Answer

To solve the equation, you must isolate the variable on one side of the equation.

Accepted Answer

It is good practice to simplify both sides of the equation (combining like terms, distributing as needed) as much as possible before trying to solve the equation.

Answer

The variable disappears when you're done solving an equation.

Answer

When solving an equation, you should always cancel out any multiplication/division first before you cancel out any addition/subtraction.

Question 55

To solve

4x=20

, what would you do to both sides?

Accepted Answer

Divide by 4 on both sides

Answer

Subtract 4 from both sides

Answer

Add 4 to both sides

Answer

Multiply 4 on both sides

Question 56

Solve:
7x - 3x - 8 = 24

Accepted Answer

8

Answer

-8

Answer

3.2

Answer

4

Question 57

A letter or symbol used to represent a number or quantities that vary

Accepted Answer

variable

Answer

constant

Answer

coefficient

Answer

term

Question 58

A number that does not change (it stands alone without any variable attached)

Accepted Answer

constant

Answer

coefficient

Answer

variable

Answer

term

Combine like terms and Solving Equations

65 questions

7x = 3x + 24

Simplify the following expression:
-8(5b + 2) - 7(b - 5)

-8y = -3y -15

7w + 5 = 3w - 15

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

Solve:
5y + 34 = -2(-7y + 1)

Solve the equation:
12x - 15 = 3(2x + 3)

Solve using a T-chart.
6(4x+2) = 3(8x+4)

Simplify the expression: 2x + 1 + 7x

Simplify the following expression:
(5 + 4x) + (2x - 8)

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Combine like terms and Solving Equations

65 questions

7x = 3x + 24

Simplify the following expression:-8(5b + 2) - 7(b - 5)

-8y = -3y -15

7w + 5 = 3w - 15

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

Solve: 5y + 34 = -2(-7y + 1)

Solve the equation:12x - 15 = 3(2x + 3)

Solve using a T-chart. 6(4x+2) = 3(8x+4)

Simplify the expression: 2x + 1 + 7x

Simplify the following expression:(5 + 4x) + (2x - 8)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Simplify the following expression:
-8(5b + 2) - 7(b - 5)

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

Solve:
5y + 34 = -2(-7y + 1)

Solve the equation:
12x - 15 = 3(2x + 3)

Solve using a T-chart.
6(4x+2) = 3(8x+4)

Simplify the following expression:
(5 + 4x) + (2x - 8)