Linear Graphs Word Problems

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

Write the linear inequality in standard form for this situation: Ms. Mallory is ordering pizzas and breadsticks for a school party and has a budget of no more than $81. An order of breadsticks costs $7 and a pizza costs $13.

• 7x + 13y < 81

• 7x + 13y ≥ 81

• 7x + 13y ≤ 81

• 7x + 13y > 81

Write the linear inequality in standard form for this situation: The New Kent High School science department can spend no more than $2700 on textbooks next year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.

• 57x + 72y ≥ 2700

• 57x + 72y > 2700

• 57x + 72y < 2700

• 57x + 72y ≤ 2700

A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay.

• y = 625x + 225

• y = 225x 

• y = 225x + 625

• y =  625

Look at the linear equation graphed. If x = 16, what value of y is a solution to this equation?

• y = 32

• y = -3

• y = 16

• y = 8

A company produces two types of products, A and B. Each unit of product A requires 1 hour of labor and each unit of product B requires 2 hours of labor. The company has a total of 40 hours of labor available. Which of the following linear equations represents this situation?

Clare owns a mobile pet grooming company. She charges $20 to come to your home plus $30 per hour to groom your pet. Which graph models the amount she charges over time?

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Write the linear inequality in standard form for this situation: A landscaping business is purchasing plants from a nursery to finish a project. It will cost $14 each to buy each tree and $5 each to buy each bush. The landscaper wishes to keep the spending under $1000.

• 14x + 5y ≥ 1000

• 14x + 5y < 1000

• 14x + 5y  ≤ 1000

• 14x + 5y > 1000

Gideon needs to collect at least 1,000 signatures for a petition to free all Koalas from zoos. He has 520 and wants to collect the same number each week. He has 6 more weeks. Which inequality represents this situation?

Match the inequality to the word problem.Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?

• 25 - 12x ≥ 200

• 25 + 12x ≥ 200

• 13x ≥ 200

• 25 + 12x > 200