Solving Two-Step Equations and Inequalities Word Problems

Solving Two-Step Equations and Inequalities Word Problems

Multiple Choice

Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?

• 200 + 25x ≥ 500
• 500 + 25x ≥ 200
• 500 - 25x ≥ 200
• 500 - 25x ≤ 200

Multiple Choice

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

Multiple Choice

Last Friday Samantha had $22.50. Over the weekend, she received some money for cleaning. She now has more than $32.00. Which inequality represents this situation?

• 22.50 - x > 32

• 22.50x > 32

• 22.50 + x > 32

• 22.50 +x < 32

Multiple Choice

Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym. How many months has he been a member at the gym?

• 12
• 17
• 64.5
• 15

Multiple Choice

A taxi charges $3, plus $1.50 for each mile traveled. Mr. Lewis rode in the taxi from his home to the airport and was charged $30. How many miles does Mr. Lewis live from the airport?

• 18 miles

• 20 miles

• 22 miles

Multiple Choice

Jim paid a gym membership fee of $50,plus $20 per month. Jim has paid a total of $290 to the gym. How many months has Jim been a member of the gym?

• 50 + 20m = 290

• 20 + 50m = 290

• 50 + 20 = m

• 50m - 20 = 290

Multiple Choice

A computer printer can print 10 pages per minute.There were already 35 pages in the tray. The total pages printed was 115 pages. Write an expression for the number of pages the printer can print in m minutes.

• 10m + 35 = 115

• 10m - 35 = 115

• 115m + 35 = 10

• 35m + 10 = 115

Multiple Choice

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35

• .50x = 35

• .50 + 20x = 35

• .50x - 20 = 35

Multiple Choice

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

Multiple Choice

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

Multiple Choice

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

Multiple Choice

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

Multiple Choice

Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?

• 20x + 120 ≥ 3

• x/3 + 20 ≤ 120

• 3x + 20 ≤ 120

• 3x + 20 ≥ 120

Multiple Choice

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

Multiple Choice

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

Multiple Choice

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

• 56

• 25

• 46

• 54