Assignment 17: Simplifying Expressions Review

Simplifying Expressions Review

1. )Revisit combining like terms

2.) Revisit the distributive property

3.) Simplify Expressions requiring distribution and combining like terms

COMBINING LIKE TERMS

1.) Identify like terms

2.) ALWAYS be sure to include the sign IN FRONT of your term when combining.

Multiple Choice

Simplify the expression below by combining like terms.

-2x + 11 + 6x

• 8x+11

• 4x +11

• 4x

• 15x

Multiple Choice

Simplify the expression below by combining like terms.

-4x - 10x

• -14

• 6x

• -6x

• -14x

Multiple Choice

What is the simplest form of the expression 6x + 3x – 5 + x + 1?

• 9x – 5

• 10x – 4

• 13x

• 14x

Multiple Choice

Simplify: 2x+3+9x+2

• 16x

• 11x+5

• 5x+11

• 16+x

Multiple Choice

Simplify the following expression:
-10x + 15 - 3x + 2

• 13x² + 17
• -13x² + 13
• -13x + 17
• -7x + 17

The Distributive Property Example 1

a(b + c) = ab + bc

a(b - c) = ab - bc

The Distributive Property Example 2

a(b + c) = ab + bc

a(b - c) = ab - bc

The Distributive Property Example 3

a(b + c) = ab + bc

a(b - c) = ab - bc

Multiple Choice

What is the distributive property?

• For any numbers a, b, c,

  a(b + c) = ab + ac

• For any numbers a, b, and c,

  a(b + c) = a + (b + c)

• For any numbers a, b, c,

  abc = a + b + c

• For any number a, b, and c,

  a(b + c ) = a(c + b)

Multiple Choice

What is the simplified version of this expression?  $5(a+6)$  

•  $5a+6$  

•  $a+30$  

•  $5a+30$  

•  $5a-30$  

Multiple Choice

What is the simplified version of this expression?  $7\left(5x-1\right)$  

•  $35x+7$  

•  $35x-1$  

•  $35x-7$  

•  $-35x-7$  

Multiple Choice

What is the simplified version of this expression? $-4(8r+3)$  

•  $-32r-12$  

•  $32r-12$  

•  $-32r+12$  

•  $32r+12$  

Multiple Choice

Simplify the following expresion:

3(2c - 5)

• 6c - 15

• 6c + 15

• 6c + 15

• -6c - 15

Simplifying Expression with Distributive Property and Combining Like Terms

1.) Distribute FIRST

2.) Then Combine Like Terms

Multiple Choice

Simplify the expression below:

-6(y – 1) + 7

• -6y + 13

• -6y + 1

• -6y - 1

• -6y + 12

Multiple Choice

Simplify  3(1 - 2x) + 7

• 21 - 6x
• 24 + 6x
• 10 + 6x
• 10 - 6x

Multiple Choice

Simplify the expression below.

_{x + 5x + 8(x – 2)}

• 13x - 16

• 14x + 10

• 14x + 16

• 14x - 16