Real World Algebraic Equation

Priya has 5 pencils, each inches in length. When she lines up the pencils end to end, they measure 34.5 inches.

• 5 + x = 34.5

• 5x = 34.5

• 34.5 ÷ 5 = x

• 34.5 - 5 = x

Han's house is 450 meters from school. Lin’s house is 135 meters closer to school. How far is Lin’s house from school?

• z = 450 + 135

• z = 450 - 135

• z - 135 = 450

• z + 135 = 450

Tyler's playlist has 36 songs. Noah’s playlist has one quarter as many songs as Tyler's playlist. How many songs are on Noah’s playlist?

• w = 4 • 36

• w = 36 ÷ 4

• 4w = 36

• w/4 = 36

60% of x is equal to 87. Write an equation that expresses the relationship between 60%, x, and 87.

• 0.6x = 87

• 0.06x = 87

• 87x = 0.6

• 87x = 0.06

Daniel is setting up rows of chairs for a concert. He decides to put 9 chairs in each row. There are 45 chairs. Let x represent the number of rows of chairs. Which equation can be used to find the number of rows of chairs Daniel sets up?

• 45x = 9

• x + 9 = 45

• x/9 = 45

• 9x = 45

Last weekend, Jeff earned $12 for each lawn he mowed. He paid his brother $10 to pull weeds. Jeff also earned $15 for cleaning out a garage. Let n represent the number of lawns Jeff mowed. Which expression represents this situation?

• 12 + 15 - 10 • n

• 12 - 10 • n + 15

• n • 15 + 12 - 10

• 12 • n + 15 - 10

On Saturday, Wyatt made $15 an hour at his job. That night he spent $22 on dinner and a movie. Which algebraic expression represents his earning and spending for the day?

• 15h - 22

• 15 ÷ h - 22

• 15h + 22

• 15 + h - 22

Liam earns $450 a day. Which algebraic expression represents the amount of money he will earn in d days?

• d ÷ 450

• 450d

• 450 + d

• 450 ÷ d

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 > 40

• x ≥ 40

• x < 40

• x ≤ 40