Inequalities and Equations Word Problems

Jai'Shawn 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

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CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Jai'Shawn works on cars. He charges $35 for each car plus $7 per hour. Solve the equation that represents this scenario if Kylie's car bill was $63.

• x = 4; 4 hours

• x = 9 ; 9 hours

• x = 14 ; 14 hours

• x = 1.6 ; 1.6 hours

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

WRITE AN EQUATION
You bought a magazine for $5 and four
erasers. You spent a total of $29. How
much did each eraser cost?

• 5 + x = 29
• -5 - 4x = -29
• 5x = 29
• 29 - 5 = -4x

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

SOLVE THE EQUATION
You bought a magazine for $5 and four
erasers. You spent a total of $29. How
much did each eraser cost?

• x = 24 ; $24 each eraser

• x = 6 : $6.00 each eraser

• X = 8.5; $8.50 each eraser

• -6 = x : -$6.00 each eraser

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear.  They sell the teddy bears for $12 a piece.  Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?

• 1500 + 8t = 12
• 12 + 8t = 1500
• 1500 + 8t = 12t
• 8t = 12t + 1500

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear.  They sell the teddy bears for $12 a piece.  Solve the equation to find the number of bears t the company has to sell in one day to equal its daily cost?

• t = - 186

• t = 186

• t = 375

• t = -375

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

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.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Debbie has at most $60 to spend on the clothes. She wants to buy a pair of jeans for $22 and spend the rest on t-shirts. Each t-shirt cost $8. Write an inequality that could be used to find x, the number of t-shirts Debbie can buy.

• 60≥22x-8
• 22-8x≥60
• 22x+8≤60
• 22+8x≤60

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Kiari needs at least $4800 to buy her first car. She has already saved half. If she saves $50/week, what is the minimum number of weeks it will take her to save enough for the car?

• x ≥ 48

• x ≤ 48

• x ≥ 24

• x ≤ 24

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

At the beginning of baseball season, Coach Gannon takes inventory of the team equipment to see what he needs. He counts 24 baseballs, but he needs to start of the season with at least 100 baseballs. The balls he uses are sold in packages of 4. How many packages should Coach Gannon buy?

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3