Writing Equations and Inequalities

The 30 members of a choir are trying to raise at least $1500 to cover travel costs to a signing camp. They have already raised $600. Which inequality would you solve to find the average amount each member can raise in order to meet the goal?

• 30x + 600  ≥ 1500
• 30x + 600  ≤ 1500
• 30x  - 600  ≤ 1500
• 30x = 1500

Tags

CCSS.7.EE.B.4B

Pizzazz Publications is having some books printed. The printer charges $800 plus $5 per book. What equation could help me find how many books can be printed for $4,000?

• 800 + 5x = 4000
• 800x + 5 = 4000
• 4000 + 5x= 800
• 800 + 5 = 4000

Tags

CCSS.HSA.CED.A.3

Mr. Piper's plumbing needed repairs. The plumber charged $98 for parts plus $45 per hour for labor. If the bill totaled $458, how could I find out the hours of labored required?

• 98x+ 45x = 458
• 98 + 45x = 458
• 45 + 98 = 458
• 45x - 98 = 458

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

At the beginning of the year, Ethan has $800 in his savings account and Faith has $1,280 in her savings account.  Each month, Ethan deposits and additional $25 in his account, while Faith withdraws $15 from her account.  Write an equation to show after how many months will Ethan’s account have a greater balance than Faith’s account?

• 800 - 25x  < 1280 - 15x
• 800 + 25x < 1280 - 15x
• 800 + 25x  > 1280 - 15x
• 800 + 25x >  1280 + 15x

Tags

CCSS.7.EE.B.4B

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

• 2 hours
• 3 hours
• 4 hours
• 5 hours

Tags

CCSS.8.EE.C.8C

Sue's lunch account has $25 and she spends $2.50 every day. Troy's lunch account has $50 and she spends $3.25 every day. Write an inequality that shows when Sue's account will be more than Troy's.

• 25 - 2.5d > 50 - 3.25d
• 25 - 2.5d < 50 - 3.25d
• 25 + 2.5d > 50 + 3.25d
• 25 + 2.5d < 50 + 3.25d

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

CCSS.6.EE.C.9

Clean fast charges $2 per window plus a $15 fee. See Out charges $3 per window plus a $5 fee. When will their costs be the same?

• 2+15x=3+5x
• 2x+15=3x+5
• 2x-15=3x-15
• 2-15x=3-5x

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. Write an equation to determine how many pounds, p, will it take for UPS and FedEx to cost the same.

• 7p - .20 = 5p - .30
• .20p + 7 = .30p + 5
• .20p - 7 = .30p - 5
• 7p + .20 = 5p + .30

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

10x + 9 = 4x - 9

• 0
• 3
• -3
• -18

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

8x - 8 = -4x + 16

• 8
• 16
• 24
• 2

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7