Combining Like Terms with Exponents

Combining Like Terms with Exponents

Review vocabulary....

• Terms

• Variable

• Exponent

• Like terms

• Simplify

• Coefficient

Multiple Choice

The unknown value in an expression or equation is called the....

• coefficient

• variable

• exponent

• I have no clue

Multiple Choice

What is the difference between an expression and an equation?

• One is larger than the other

• One has more letters

• The variable

• The equal sign

Multiple Choice

The number in an expression that never changes is called

• constant

• coefficient

• term

• exponent

Multiple Select

In the following expression, list the numbers that are coefficients.

7x + 9y - 3

• -3

• 3

• 7

• 9

Multiple Choice

Which number is a constant? 3x² + 9x - 6

• -6

• 3

• 6

• 9

Multiple Choice

Which number is the exponent? x⁴ + 3x - 2x +6

• -2

• 3

• 4

• 6

Like terms are terms with the same variable raised to the same power. The coefficients do not have to be the same. Constants, like 5, 1/2 , and 3.2, are also like terms

Like Terms:

3x

5x

6.2x

123x

Terms that aren't alike...

7x

14

2y²

Multiple Choice

What terms are alike in this expression?

12x + 14x² - 6 - 2x

• 14x² and 2x

• 12x and -6

• -2x and -6

• 12x and -2x

Multiple Choice

What terms are alike in this expression?

7x² - 15x² + 3x³ - 7

• 7x² and -7

• -15x² and 7x²

• 3x³ and 7x²

• None are alike

When combining like terms...remember the sign in front of the number always goes with it...

7x - 3x - 7

The terms are 7x and -3x and -7

Multiple Choice

Simplify: 8x² + 5x + 2y + x

• 14x + 2y

• 13x²+ 2y + x

• 8x² + 6x + 2y

• 8x² + 7xy + x

Multiple Choice

3x²+4x²+7 is

• 7x⁴+7
• 7x² + 7
• 7x⁵
• 7

Multiple Choice

Combine like terms
3x + 2x + 3y - 7y

• 5x + 10y
• 5x + 4y
• 5x - 4y
• 5x -10y