Equations and Inequalities

A model for an inequality is shown.

What is the solution to this inequality?

• x > −18

• x > 9

• x > 21

• x > −42

Tags

CCSS.7.EE.B.4B

Jeff bought a bottle of water for $2. He also bought some hot dogs for $3 each. Jeff did not spend more than $14 on the hot dogs and the bottle of water. Which inequality can be used to find h, the number of hot dogs that Jeff could have bought?

• 3h − 2 ≤ 14

• 3h + 2 ≤ 14

• 3h − 2 ≥ 14

• 3h + 2 ≥ 14

Tags

CCSS.7.EE.B.4B

1. Which situation is best represented by the following equation?

45w + 123.95 = 753.95

• Erica paid $753.95 for dance classes. She paid a $45 registration fee and $123.95 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

• Erica and her sister paid $753.95 for dance classes. Erica paid $123.95 for each week she was enrolled in the classes, and her sister paid $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica and her sister were enrolled in dance classes?

• Erica paid $753.95 for dance classes. She paid a $123.95 registration fee and $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

• Erica paid $753.95 for dance classes. She paid a $123.95 for each week she was enrolled in the classes after using a coupon that gave her $45 off the price per week. What is w, the number of weeks Erica was enrolled in dance classes?

Tags

CCSS.7.EE.B.4A

The model represents an equation.

What is the solution for this equation?

• x = 1

• x = –2

• x = –3

• x = 5

Tags

CCSS.6.EE.B.7

What is the solution to this system?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

Tags

CCSS.8.EE.C.8B

What is the solution to the system?

• (3, -1)
• (2, -6)
• No Solution 
• (6, -2)

Tags

CCSS.8.EE.C.8A

Which of the following can be identified from the graph above?

• The ordered pair (6, 25) is a solution to both y= (-5/2)x + 40 and y= (5/3)x + 15

• The ordered pair (25, 6) is a solution to both y= (-5/2)x + 40 and y= (5/3)x + 15

• The ordered pair (6, 25) is a solution to both y= (5/2)x + 40 and y= (-5/3)x + 15

• The ordered pair (6, 25) is a solution to both y= (-1/2)x + 40 and y= (1/3)x + 15

A gym charges a registration fee of $75 and $35.75 per month. Another gym charges a registration fee of $164 and $17.95 a month. After how many months would the cost for both gyms be the same?

• 10

• 5

• 7

• The total cost will never be the same

Makayla began with $45 in her account. She saved $15 every week, She now has more than $205. 

• 15w + 45 < 205
• 15w + 45 > 205
• 45a + 15 < 205
• 45a + 15 > 205

Tags

CCSS.7.EE.B.4B

Carrie gets 5 points for each answer and has already earned 10 points of extra credit She needs at least 77 points to pass.

• 10a + 5 ≥ 77
• 5a + 10 ≥ 77
• 5a + 10 > 77
• 5a + 10 ≤ 77

Tags

CCSS.7.EE.B.4B