Unit 3 Review

Unit 3 Review

Take out your notebook so you can write down examples to help you study for our quiz this week.

Combining Like Terms (all positives)

• Combine the terms with the same variable

• Combine the constants (the numbers without the variables

Multiple Choice

 Simplify the expression by combining like terms $4h+2+3g+5+6g+7h$ 

•  $6h+8g+13gh$  

•  $27gh$  

•  $11+9+7$  

•  $9g+11h+7$  

Multiple Choice

 Simplify the expression by combining like terms $7x+21y+y+12x+11+12$ 

•  $19x+21y+23$  

•  $19x+22y+23$  

•  $19+21+23$  

•  $19x\ +\ 22y$  

Combining Like Terms (positives and negatives)

• When the signs of the numbers are the same add them together and keep the sign

• When the signs of the numbers are the different subtract them and take the sign of the number with a greater value

Multiple Choice

 Simplify the expression by combining like terms $4h+\left(-2\right)+3g+\left(-5\right)+6g-7h$ 

•  $3h+9g+7$  

•  $27gh$  

•  $-3h+9g-7$  

•  $9g+11h+7$  

Multiple Choice

 Simplify the expression by combining like terms $-7x-21y+y+12x+\left(-11\right)-12$ 

•  $19x+21y+23$  

•  $5x-21y-23$  

•  $-5x+20y+23$  

•  $5x-20y-23$  

Multiple Choice

 Simplify the expression by combining like terms $-3a+\left(-4b\right)-17-a+15b+\left(-13\right)$ 

•  $-3a-11b-4$  

•  $-4a+11b-30$  

•  $-4a-11b+30$  

•  $-2a+11b-4$  

Distributive Property

• Multiply all of the terms on the inside of the parentheses ( ) by the number on the outside of the parentheses

Distributive Property

Use the multiplication Rules

• pos x pos = pos

• pos x neg = neg

• neg x pos = neg

• neg x neg = pos

Multiple Choice

Which expression is equivalent to

 $-9\left(2x+5\right)$  

•  $18x+45$  

•  $-18x+45$  

•  $-18x-45$  
  

•  $18x-45$  

Multiple Choice

Which expression is equivalent to

 $-9\left(-2x-5\right)$  

•  $18x+45$  

•  $-18x+45$  

•  $-18x-45$  
  

•  $18x-45$  

Multiple Choice

Which expression is equivalent to

 $9\left(-2x+5\right)$  

•  $18x+45$  

•  $-18x+45$  

•  $-18x-45$  
  

•  $18x-45$  

Multiple Select

Select all expressions that are equivalent to

 $8m\ +\ 12p$  

•  $2\left(4m+6p\right)$  
  

•  $-4\left(-2m-3\right)$  
  

•  $8\left(m+12p\right)$  
  

•  $4\left(2m+3p\right)$  

Evaluating Expressions

• Replace the variables with the given variable values

• Simplify the math problem

Fill in the Blanks

Evaluate

 $5m\ +\ 6$  for  $m\ =\ 2$  

Fill in the Blanks

Evaluate

 $5m\ +\ 6g$  for  $m\ =\ 2$  and  $g=3$  

Fill in the Blanks

Evaluate

 $-3x+1$  for  $x\ =\ 3$ 

Translating Expressions

• Kaelyn bought valentine cards, v, for $2 each and candy, c , for $4 each.

• Write an expression that represents her total.

Multiple Choice

Marco bought elotes, e, for $2 each and mangonadas m for $3 each. Which expression represents the total amount of money Marco spent?

• 2m + 3e

• 2 + 3

• 5

• 2e + 3m

Multiple Choice

Max bought ,c, number of chips for $3 each and a drink for $2. Which expression represents the situation?

• $5c$

• $5$
  

• $3c+2$