Writing Inequalities and System of Equations Practice

What is a key word for the following symbol?

<

• Greater Than or Equal To

• Less Than or Equal To

• Fewer Than

• More Than

Tags

CCSS.6.EE.B.8

What is a key word for the following symbol?

>

• Below

• At least

• At most

• Above

Joe’s Catering Company charges a $45 set-up fee plus $12.50 per person. Jimmy’s catering company charges a $75 set up fee plus $7.50 per person. Which inequality could be used to determine x, the number of people for which Joe’s Catering Company would be less expensive than Jimmy’s catering company?

• 45 + 12.5x ≤ 75 + 7.5x

• 45 + 12.5x < 75 + 7.5x

• 45 + 12.5x ≥ 75 + 7.5x

• 45 + 12.5x > 75 + 7.5x

Tags

CCSS.7.EE.B.4B

Norah has never lost a tooth, but she will receive $0.75 from the tooth fairy each time she loses a tooth. Kate has $1.25 from the tooth fairy, and she gets $0.25 each time she loses a tooth. Which inequality could be used to find x, the number of teeth that each girl would have to lose for Norah to have at least as much money from the tooth fairy as Kate?

• 0.75x ≤ 1.25 + 0.25x

• 0.75x ≥ 1.25 + 0.25x

• 0.75x ≥ 1.25 – 0.25x

• 0.75x > 1.25 + 0.25x

Tags

CCSS.7.EE.B.4B

Blind company A charges $25.00 to install blinds for one room and $5.00 for each additional window. Blind company B charges $30.00 to install blinds in one room and $4.00 for each additional window. Write an equation to determine how many blinds would need to be installed for the price to be equal.

• 25 - 5x = 30 - 4x

• 25x + 5 = 30x + 4

• 25 + 5x = 30 + 4x

• 30 - 25 = 4x + 5x

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Cody’s Gym charges a $15 fee to join and $30 per month. Tyler’s Gym charges a $30 fee to join and $20 per month. Write an inequality that could be used to determine after how many months Tyler’s gym would be a better deal.

• 30x + 20 < 15x + 30

• 30 + 20x < 15 + 30x

• 30x + 20 > 15x + 30

• 30 + 20x > 15 + 30x

Tags

CCSS.6.EE.B.8

CCSS.6.EE.B.5

Which inequality is represented by the words " more than"?

• ≥

• >

• ≤

• <

Tags

CCSS.6.EE.B.8

Which inequality is represented by the words " at least"?

• ≥

• >

• ≤

• <

Tags

CCSS.6.EE.B.8

Papaya charges $5 per DVD rental and a $10 membership fee.  Hutto charges $2 per DVD and a $60 membership fee.  Which inequality best represents when the charges from Papaya is less than Hutto?

• 10d + 5 < 60d + 2

• 10 + 5d < 60 + 2d

• 12d > 70

• 10 + 5d > 60 + 2d

Tags

CCSS.7.EE.B.4B

Write an inequality to represent the following relationship:
Three times a number minus two is less than the number plus ten.

• 2 - 3x < x + 10

• 3x - 2 < x + 10

• 2 - 3x > x + 10

• 3x - 2 > x + 10

Tags

CCSS.7.EE.B.4B