7th Grade - Combining Terms & One-Step Equations Lesson

​Combining Like Terms &
Solving Equations

By Chip Krolik

How to Combine Like Terms

Multiple Choice

A coefficient is __________.

• the variable
• a constant
• an exponent
• the number that comes before the variable

Multiple Choice

A variable can be _______?

• Any number

• Any letter of the alphabet

• only X

• only 1

Multiple Choice

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

• 8a + 2b + 4
• 2a + 2b + 4
• 8ab
• 4ab + 4

Multiple Choice

Simplify: x + 3x + 6x + x

• 9x

• 11x

• 2x + 9x

• Can't be simplified

Multiple Choice

Simplify: 4q + 4t + 3q + t

• 12tq

• 3q + 4t

• 7q + 5t

• Can't be simplified

Multiple Choice

Simplify: 10w + 3d + 3w + d

• 13w + 4d

• 17wd

• 13w + 3d

• Can't be simplified

Multiple Choice

Combine Like Terms

30 + 80k + 9k + 27

• 57 + 89k

• 57 + 720k

• 30 + 80k

Multiple Choice

What is the first step to distribute in this problem?

2(5x + 7)

• Add 2 + 5 + 7

• Add 5x + 7

• Multiply 2(5x) and 2(7)

• Multiply 5x + 7

Multiple Choice

Which of the following is equivalent to 4(2x + 3)

• 8x + 12
• 8x + 3
• 8x - 12
• 20x

Multiple Choice

Choose an expression equal to: -2(x - y)

• -2x - 2y

• 2x - 2y

• -2x + 2y

• 2x + 2y

• None of these

Multiple Choice

Choose an expression equal to: -(5b + 3c)

• -5b + 3c

• -5b - 3c

• 5b - 3c

• 5b + 3c

• None of these

Multiple Choice

$$\frac{1}{2}(t+8)$$  

• $$\frac{1t}{2t}+\frac{8}{2}$$  

• $$\frac{1}{2}t+8$$  

• $$\frac{1}{2}t+4$$  

• $$\frac{1}{2}t+\frac{8}{16}$$  

Multiple Choice

Simplify the expression: 5(2x - 3) + 4(3x + 1)

• 10x + 11

• 10x - 11

• 22x - 11

• 22x + 11

Multiple Choice

Simplify the expression: 2(4x + 3) - 3(2x - 1)

• 8x + 6

• 4x + 7

• 2x + 9

• 6x + 5

Multiple Choice

Simplify the expression: 3(2x + 1) + 2(3x - 2)

• 12x + 1

• 6x + 2

• 9x - 2

• 12x - 1

Multiple Choice

Simplify the expression: 2(3x - 1) + 3(2x + 4)

• 12x + 7

• 6x + 10

• 12x + 10

• 5x + 12

Multiple Choice

To Solve the Equation Below, you would?
x - 62 = 123

• add 62 to each side
• subtract 62 from each side
• multiply each side by 62
• Add 123 to each side

Multiple Choice

In an equation, you want to get the variable...

• on one side
• to disappear
• by itself
• to sing and dance

Multiple Choice

When you solve one-step equations, you can do anything you want to one side of the equal sign, as long as...

• it is mathematical
• you do the SAME thing to the other side
• solving equations is impossible
• I love Snow Days!

Multiple Choice

To solve one-step equations, you have to use the ________________ operation.

• Integer
• Inverse
• Additive
• Subtractive

Multiple Choice

The inverse operation of addition is _______________.

• Division
• Multiplication
• Addition
• Subtraction

Multiple Choice

What is the inverse operation needed to solve for p?
765 = p - 254

• subtraction
• addition
• multiplication
• division

Multiple Choice

What is the correct step to solve for the variable?
15 = m - 5

• add 5 to both sides
• add 15 to both sides
• subtract 15 from both sides
• subtract 5 from both sides

Multiple Choice

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

• Subtract 62 from each side. 
• Add 62 to each side.
• Multiply each side by 62.
• Add 123 to each side.

Multiple Choice

x + 12 = 20

• x = 32
• x = -32
• x = 8
• x = -8

Multiple Choice

Find the variable.
13 + q = 56

• 43
• 40
• q
• 42

Multiple Choice

Evaluate (Solve):

f-22=36

• f = 62

• f = 14

• f = 58

• f = 12

Poll

After this review, I feel ---- about how to combine like terms, using the distributive property AND solving equations

• I'm very confident

• I got this

• I know some of this but others no

• I don't know anything

• other: my thoughts/ feelings are not listed here