Writing Expressions and Equations

Select all of the phrases that represent the algebraic expression

y - 14

• fourteen less than y

• y less than fourteen

• the sum of y and -14

• y subtracted from -14

• the difference between y and 14

A candle weighs 300 grams (g). Each hour the candle is lit, it burns 4g of its wax. Let ℎ be the number of hours the candle burns. Write an expression that represents the weight of the candle.

• 300 - 4h

• 4h - 300

• 300h - 4

• 4 - 300h

The Self-Transcendence 3,100 mile race is the world's longest certified footrace. Write an equation that can be used to determine how many miles a person has to run each day, 𝑥, if they complete the race in 50 days.

• 3100x = 50

• 3100/x = 50

• 50x = 3100

• 50/x = 3100

Buddy is planning a trip from Tampa to Jacksonville. He finds that traveling by car will take 204 minutes. He finds that traveling by train will take 112 minutes more than traveling by car. Write an equation that can be used to determine the time it takes to travel by train, 𝑥.

• x - 204 = 112

• x + 204 = 112

• x - 112 = 204

• x + 112 = 204

The Marjorie Harris Carr Cross Florida Greenway is a hiking trail that traverses Citrus, Levy, Marion, and Putnam counties. The Greenway is 110 miles long. The Florida National Scenic Trail overlaps with the Greenway for 36 miles. Write an equation that can be used to determine the number of miles, 𝑥, the Greenway does not overlap with the Florida National Scenic Trail?

• x + 36 = 110

• x - 36 = 110

• x + 110 = 36

• x - 110 = 36

the quotient of 5 and x

• 5 + x

• 5 - x

• 5x

• 5/x

the sum of n and 10

• n + 10

• n - 10

• 10n

• n/10

the difference between twice the value of b and 8

• 2b + 8

• 2b - 8

• 8 - 2b

• 2(b - 8)

7 plus the product of x and 4

• 7 + 4x

• 7 - 4x

• 7x + 4

• 7x - 4

Miss Ross bought 4 dog toys for a total of $35. How much did each dog toy cost? Write an equation to represent this situation. Use d as your variable.

• 35 - d = 4

• 4d = 35

• 35 + d = 4

• 4/d = 35