7_Unit 6 Inequalities, Expand, Factor, & Combine Like Terms

Lin received a $50 gift card for an online music store. She uses the gift card to buy an album for $9.99. She also wants to use the gift card to buy some songs and have at least one cent left on the gift card. Each song costs $1.29. Write an inequality that describes this situation, where n is the number of songs Lin wants to buy.

***Write your inequality without spaces between numbers and symbols

(a)  

Which number line shows all the values of x that make the inequality -3x + 1 < 7 true?

• 
• 
• 
• 

Select all expressions that are equivalent to 6x + 1 - (3x - 1)

• 6x + 1 - 3x - 1

• 6x + -3x + 1 + 1

• 3x + 2

• 6x - 3x + 1 - 1

• 6x + 1 + -3x - -1

Select the inequality that represents the same solutions as those graphed in the image.

Factor to write an equivalent expression for: 56a - 24

***Write your expression without spaces

(a)  

What mistake did Tyler make when simplifying the expression

6 - 2x + 5 + 4x?

• Incorrectly adds the constants.

• Incorrectly combines the

  x terms.

• Subtracts instead of adding.

• Multiplies instead of adding.

Write an equivalent expression to 6 - 2x + 5 + 4x that has only two terms.

***Write your expression without spaces

(a)  

Diego's family car has a fuel capacity of 14 gallons. Each day the car consumes 0.6 gallons of fuel.

A warning light turns on when the remaining fuel is 1.5 gallons or less.

Starting with a full tank, can Diego's family drive the car for 14 days

without the warning light turning on?

• Yes, because the car consumes less than 14 gallons in 14 days.

• No, because the car consumes more than 14 gallons in 14 days.

• Yes, because the car consumes exactly 14 gallons in 14 days.

• No, because the car consumes exactly 1.5 gallons in 14 days.

Diego's family car has a fuel capacity of 14 gallons. Each day the car consumes 0.6 gallons of fuel.

A warning light turns on when the remaining fuel is 1.5 gallons or less.

Starting with a full tank, can Diego's family drive the car for 25 days

without the warning light turning on?

• Yes, because the car consumes less than 14 gallons in 25 days.

• No, because the car consumes more than 14 gallons in 25 days.

• Yes, because the car consumes exactly 14 gallons in 25 days.

• No, because the car consumes exactly 1.5 gallons in 25 days.