Applications with equations and inequalities-DHS2021

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

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus? Write an equation that matches this situation.

• 331=7x+6
• 331=13x
• 331=6x+7
• 331-7=6x

Tags

CCSS.HSA.CED.A.3

Janae is saving to buy a pair of shoes that cost $120. She has saved $30 and is going to save $25 a week. Which equation will show her how many weeks she must save?

• 120 = 25x + 30

• 120 = 55x

• 120 = 25x + 30x

• 25x = 120 + 30

Tags

CCSS.HSA.CED.A.3

CAMERON MADE 25 FREE THROWS LAST SEASON. THIS SEASON, HIS GOAL IS TO MAKE 5 FREE THROWS EACH GAME. SO FAR, CAMERON HAS MADE 8 FREE THROWS. WRITE AN INEQUALITY HE COULD USE TO DETERMINE HOW MANY GAMES, X, HE NEEDS TO PLAY IN ORDER TO MAKE NO LESS THAN 25 FREE THROWS

• $5x-8>25$

• $5x+8\le25$

• $5x+8\ge25$

• $8x-5\ge25$

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

Which situation can be represented by the inequality
15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

Tags

CCSS.7.EE.B.4B

ERIC’S LUNCH ACCOUNT HAS $25 FOR THE WEEK. ON MONDAY HE PURCHASES A DRINK FOR $1, A HAMBURGER FOR $4, AND COOKIES FOR $1 EACH. WRITE THE INEQUALITY IF HIS TOTAL PURCHASE ON MONDAY IS NO MORE THAN WHAT HE HAS IN HIS ACCOUNT IF HE PURCHASED X NUMBER OF COOKIES.

• $x+5\le25$

• $x-5=25$

• $5x=25$

• $x-25=5$

Tags

CCSS.7.EE.B.4B

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• 7x + 35 = 63
• 7x = 63
• 7x - 35 = 63
• 35x + 7 = 63

Tags

CCSS.HSA.CED.A.3

WRITE AN EQUATION

Aliyah had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

• 24-10=7x

• 24+7x=10

• 10+7x=24

• 10+x=14

Tags

CCSS.HSA.CED.A.3

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.

• 30 + 20x < 15 + 30x
• 30x + 20 < 15x + 30
• 30 + 20x > 15 + 30x
• 30x + 20 > 15x + 30

Tags

CCSS.7.EE.B.4B