Real World Problem Equations

The height, h, of an object decreases by 7 feet every second. If the object is initially set at 100 feet, which equation represents its height after s seconds?

• h = 7 - 100s

• h = 100s - 7

• h = 100 - 7s

• h = 100 + 7s

A company pays its employees a base salary of $750 per week, plus a 15% commission for all of their sales. If t = total weekly pay, and s = the total sales, which equation can an employee use to determine his or her total weekly pay?

• t = 750(0.15s)

• t = 750 + 0.15s

• t = 750s + 0.15

• t = 750 + 15s

The Miller Football Team holds a car wash to raise money. The team spends $12.50 on supplies and charges $5.00 per carwash. Write an equation to represent the amount of profit.

• y = 12.50x + 5.00

• y= 5.00x + 12.50

• y=5.00x - 12.50

• y= 12.50x - 5.00

Which of the following problems can be solved by using the equation x + 5 = 24

• Claire had 24 dolls in her collection. She added five more to it. How many dolls does she now have in her collection?

• Lindsey has 5 times as many crayons as her sister. Her sister has 24 crayons. How many crayons does Lindsey have?

• Jameson earned $5 in tips on Monday delivering packages. For the rest of the week earned $24 in tips. How much did James earn in tips for the entire week?

• Melissa received a gift of of 5 magazines to add to her collection. The brought the total number of magazines to 24. How many did she have before she received her gift?

Which problem situation matches this equation?

• Karen got $8 per hour for babysitting. Find x, the amount she was paid for 8 hours.

• The cost of a video game is $74.80. Find x, the amount Josh needs to be the game if he had $8.

• 8 friends spent $74.80 each pay for a camping trip. Find x, the total amount they paid.

• Charlene got a paycheck for $74.80 for 8 hours of work. Find x, the amount she was paid per hour.

Scott's Automotive charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie was charged $63.

• 35x + 7 = 63

• 7x = 63

• 7x - 35 = 63

• 7x + 35 = 63

Write and solve an algebraic inequality for each problem.

• x > 40

• x ≥ 40

• x < 40

• x ≤ 40

Write and solve an algebraic equation for each problem.

• $30

• $4.80

• $12.40

• none of those

Write and solve an algebraic inequality for each problem.

• x ≤ 65,000

• x < 65,000

• x > 65,000

• x ≥ 65,000

Write and solve an algebraic equation or inequality for each problem.

• 56 mountain bikes

• 10 mountain bikes

• 96 mountain bikes

• 6 mountain bikes