Solving Equations Review What You Know

By Mrs. Cooper

Solving Equations: Review What You Know

Like terms have variables that are the same

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In the picture 4a and 2a are like terms, so they have combined them to make 6a. Use the sign in front of the numbers to determine whether to add or subtract.

Like Terms

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Multiple Select

Which of the terms in the expression would be "like terms"?

x + 2x + 5 + 8 - x

• x

• 2x

• 5

• 8

• -x

Multiple Choice

Simplify the following expression:
3 + 5x + 8 - 2x

• 8x + 6x

• 3x + 11

• 11 - 3x
• 7x + 11

Multiple Choice

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

• (9x) + (-6x)

• 6x + 13

• 6x - 13
• 6x - 3

A constant is a number without a variable. These can also be combined as like terms. ​

In the picture 5 and -3 are constants. Use the sign in front of the numbers to determine whether to add or subtract. Combining these constants would be 5-3 or 2.

Constant

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Multiple Select

Choose all constants in the expression

2x - 4 + 3x + 5 - x

• 2x

• -4

• 3x

• 5

• -x

Multiple Choice

In the expression 8x - 4 + 2x + 5, how would you combine the constants?

• -4 + 5

• 4 + 5

A coefficient is the number in front of a variable.

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In the picture, 4 and 2 are coefficients. If there is a variable without a number, like x, the coefficient is one. For example, if I say I have "a pencil", I have one of them.​

Coefficient

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Multiple Select

In the expression, which terms are coefficients?

2x - 1 + 3 - 5x + 8

• 2

• -1

• 3

• -5

• 8

Isolate means to get the variable by itself on one side of the equals sign

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You may want to take a screenshot of the picture or take notes on HOW to isolate.

Isolate

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Multiple Choice

If you are trying to isolate the variable, is it better to add/subtract first or multiply/divide first?

• add/subtract

• multiply/divide

Multiple Choice

What is the best first step to isolate the variable in this equation?

3x - 5 = 7

• Add 5 to both sides of the equation

• Subtract 3x to both sides of the equation

• Subtract 5 from both sides of the equation

• Divide by 3 on both sides of the equation

Multiple Choice

What is the best first step to isolate the variable in this equation?

5x = 15

• Add 5 to both sides of the equation

• Divide by 5 on both sides of the equation

• Subtract 5 from both sides of the equation

• Subtract 5x from both sides of the equation

Inverse operations are opposites. They undo each other.

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You may want to take a screenshot of the picture or take notes on which operations are inverses.

Inverse Operations

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Fill in the Blanks

The inverse of "subtract" is...

Fill in the Blanks

The inverse of "multiply" is...

A variable is a letter that represents an unknown value (number). Variables can have different values in different equations.

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We always use lowercase letters for variables in an equation.

Variable

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