Algebraic Word Problems

The larger of two numbers is two more than five times the smaller number. If the sum of the two numbers is 80, find both numbers.

WHICH EQUATION WOULD LET YOU FIND THE SMALLER NUMBER?

• x+2=80

• 5x+2=80

• x+5x+2=80

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

The larger of two numbers is two more than five times the smaller number. If the sum of the two numbers is 80, find both numbers.

• 11 and 57

• 20 and 105

• 16 and 70

• 13 and 67

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

The number of years that Mary has been on the volleyball team is 2 less than 5 times the number of years that Gina has been on the team. In all, the two girls have been on the team for 10 years. How long has Mary been on the team?

WHICH EQUATION WILL ALLOW YOU TO ANSWER THIS QUESTION?

• 5x-2=10

• x+5x-2=10

• x-2=10

• 6x+2=10

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

The number of years that Mary has been on the volleyball team is 2 less than 5 times the number of years that Gina has been on the team. In all, the two girls have been on the team for 10 years. How long has Mary been on the team?

• 8 years

• 2 years

• 10 years

• 5.4 years

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

The length of a flat screen TV is 5 inches less than 3 times its width. If the perimeter of the TV is 150 inches, find the dimensions.

WHICH EQUATION WILL HELP YOU ANSWER THESE QUESTIONS?

• 2(x) + 2(3x-5)=150

• 2(x) + 2(3x+5)=150

• x + 3x-5=150

• 4x+5=150

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

The length of a flat screen TV is 5 inches less than 3 times its width. If the perimeter of the TV is 150 inches, find the dimensions.

SELECT THE ANSWER FOR THE LONGEST SIDE FROM THE DIMENSIONS ABOVE.

• 57 inches

• 30 inches

• 20 inches

• 55 inches

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

Find two consecutive numbers whose sum is 115.

WHICH EQUATION WILL FIND THE FIRST INTEGER?

• x+1=115

• x+x+1=115

• x-1=115

• 2x-1=115

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

Find two consecutive EVEN numbers whose sum is 126.

WHICH EQUATION WILL FIND THE FIRST INTEGER?

• x+x+2=126

• x+2=126

• 3x+2=126

• x+2=126=126

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Geneva and Lyla were shopping for new fall clothes. Geneva spent $19.40 less than twice what Olivia spent. Together they spent a total of $272.35. Find the amount each girls spent.

• Geneva spent $200 and

  Lyla spent $72.35.

• Geneva spent $72.35 and

  Lyla spent $200.

• Geneva spent $97.25 and

  Lyla spent $175.10.

• Geneva spent $175.10 and

  Lyla spent $97.25.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Lynn and Bill sold boxes of fruit for a band fundraiser. Lynn sold seven less than twice the number of boxes that Bill sold. In all, the two band students sold 137 boxes of fruit. How many boxes of fruit did Lynn sell?

• Lynn sold 100 boxes of fruit.

• Lynn sold 37 boxes of fruit.

• Lynn sold 48 boxes of fruit.

• Lynn sold 89 boxes of fruit.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9