Equations and Inequalities

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

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 an 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.6.EE.B.6

CCSS.6.EE.B.8

CCSS.6.EE.C.9

A local bakery has a daily operating cost of $1800 plus a cost of $10 per cake they make. If a cake sells for $15, which equation could be used to determine the minimum number of cakes, c, they must sell each day to earn a profit?

• 15c < 1800 + 10c

• 15c > 1800 + 10c

• 15c = 1800 + 10c

• 10c < 1800 + 15c

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.B.8

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40
• 1.50x + 10 ≤ 40
• 1.50x + 10 <40
• 10x + 1.50 < 40

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

• 125x + 55 ≤ 600
• 125x + 55 ≥ 600
• 125x + 55 > 600
• 125x + 55 < 600

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

• 5x + 10 ≥ 100
• 5x - 100 ≥ 10
• 10x + 5 ≤ 100
• 5x + 10 > 100

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

Quotient means...

• addition

• subtraction

• multiplication

• division

Product means...

• addition

• subtraction

• multiplication

• division

Difference means...

• addition

• subtraction

• multiplication

• division

Sum means...

• addition

• subtraction

• multiplication

• division