Two Step Equations and Inequalities in Context & on a number

Faith is driving to a concert and needs to pay for parking. There is an automatic fee of $7 just to enter the parking lot, and when she leaves the lot, she will have to pay an additional $2 for every hour she had her car in the lot. If she was charged $17, how many hours did she park?

Choose the equation that represents this situation.

• 7x + 2 = 17

• 2x + 7 = 17

• 7x + 17 = 2

• 2x + 17 = 7

Tags

CCSS.HSA.CED.A.3

Emily is saving up to buy a new phone that costs $399. She already has $75 and can save an additional $7 per week using money from her after school job. Which inequality models the number of weeks Emily will have to save before she can buy her phone?

• $75\ +\ 7x\ \ge\ 399$

• $75x\ +\ 7\ \ge399$

• $75\ +\ 7x\ \le399$

• $75x\ +\ 7\ \le<399$

Jonathan is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1.50 per mile driven. If Jonathan was charged $18 for his trip, how many miles did he travel?

Choose the equation that models this situation where m = miles.

• 3 + 1.5m = 18

• 3m + 1.5 = 18

• 3(m + 1.5) = 18

• 1.5(m + 1.5) = 18

Eva is going to see a movie. A movie ticket costs $13 and there are an assortment of snacks available to purchase for $3.75 each. Eva wants to spend no more than $25.

Choose the inequality that represents this situation.

• $13\ +\ 3.75x<25$

• $13\ +\ 3.75x\le25$

• $13+3.75x>25$

• $13+3.75x\ge25$

Eva is going to see a movie. A movie ticket costs $13 and there are an assortment of snacks available to purchase for $3.75 each. Eva wants to spend no more than $25.

What is the greatest number of snacks she can purchase? Enter your answer as a number only.

Jonathan is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1.50 per mile driven. If Jonathan was charged $18 for his trip, how many miles did he travel?

Enter your answer as a number only.

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. Let x represent the number of students on each bus.

• 7x + 6 = 331

• 13x = 331

• 6x + 7 = 331

• 331 - 7 = 6x

Tags

CCSS.HSA.CED.A.3

It costs Amy $0.20 to send a text message. She has already spent $5 in text messages this month. If she has a total of $12 that she can spend this month on text messages. Let x represent the number of texts she can still send this month.

• 0.20 + 5x = 12

• 0.20(5x) = 12

• 0.20x + 5 = 12

• 0.20x - 5 = 12

Tags

CCSS.HSA.CED.A.3

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.7.EE.B.4B

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.7.EE.B.4B