Writing Equations from Word Problems

Ryan is thinking of a number. When he multiplies this number by 6 and then subtracts 15 from the answer, he ends up with his original number. What is the equation that represents this problem?

• 15 - 6x = x

• 6x-15 = x

• 6x15 = x

• 6(15) = x

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Brian needs 183 feet of fencing for a basketball court but for only three sides, since the other longer side will be against a wall. The length of the court is 32 feet more than the width. One of the shorter sides will be 5 feet shorter than the other one. What is the equation that represents this problem?

• x + x + 32 + x - 5 = 183

• x + 32 + x - 5 = 183

• x + 32 - 5 = 183

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

A scalene triangle has three unequal side lengths. The medium-length side is 7 cm longer than the shortest side. The longest side is twice as long as the shortest side. The total perimeter is 39 cm. What is the equation that represents this problem?

• 2x + 7 = 39

• x + 7 + 2x = 39

• x + 7 + x + 2x = 39

• x + x + x = 39

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Jenny remembers that she made three times as many baskets as Grace. Alexis knows that she made six more baskets than Grace. Joan thinks that she made 4 fewer baskets than Grace. Tammy is sure that she made the same number of baskets as Joan. Altogether the five players made 40 baskets. What is the equation that represents this problem?

• x + (x + 6) + (x - 4) + x = 40

• x + x + x + x + x = 40

• 3x + (x + 6) + (x - 4) + x + x = 40

• x + 3x + (x + 6) + (x - 4) + (x - 4) = 40

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

Ms. Pacheco is three years older than Mr. Richards. Mr. Edwards is twice as old as Mr. Richards. The sum of Mr. Richards’ age and Mr. Edwards’ age is 81.

• x + 2x = 81

• (x + 3) + 2x + x = 81

• (x + 3) + x = 81

• (x + 3) + 2x = 81

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.C.6

The sum of three consecutive numbers is 57.

• x + (x + 1) + (x + 2) = 57

• x + x + x = 57

• x + (x + 2) + (x + 4) = 57

• x + (x + 3) + (x + 6) = 57

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

The sum of three consecutive even numbers is 72.

• x + (x + 1) + (x + 2) = 72

• x + x + x = 72

• x + (x + 1) + (x + 3) = 72

• x + (x + 2) + (x + 4) = 72

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Camille knew that a triangle had one side with a length of 16 inches and another side with a length of 20 inches. She did not know the length of the third side, but she did know that the perimeter was five times the length of the unknown side.

• 16(20) = x

• 16 + 20 = x

• 16 + 20 + x = 5x

• 16 + 20 + x = P

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

Dawn and Myrna’s father has asked them to build a rectangular pen for their dog. They have 73 feet of fencing. They want the length to be one more than twice the width. What is the equation that represents this problem?

• x + (2x + 1) = 73

• x + 2x = 73

• x + x = 73

• x(2x +1) = 73

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.SSE.A.1

Yosemite Falls is actually made up of three smaller falls. The Lower Yosemite Falls is 355 feet shorter than the Middle Cascades Falls. The Upper Yosemite is 80 feet more than twice the Middle Cascades Falls. The entire set of waterfalls is 2425 feet long. What is the equation that represents this problem?

• 2(x + 355) + 80 = 2425

• x + (x - 355) + (2x + 80) = 2425

• x + x + x = 2425

• x + (x - 355) + x + 80 = 2425

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2