Polynomial Word Problems

The sum of two consecutive integers is 123.  What is the smallest of the two integers?

• 60
• 61
• 62
• 63

Tags

CCSS.8.EE.C.7B

Find three consecutive even integers whose sum is 84.

• 26, 28, 30
• 28, 30, 32
• 27, 28, 29
• 24, 26, 28

Tags

CCSS.8.EE.C.7B

Find four consecutive odd integers whose sum is 128.

• 32, 34, 37, 38
• 27, 29, 31, 33
• 29, 31, 33, 35
• 25, 27, 29, 31

Tags

CCSS.8.EE.C.7B

Find two consecutive integers whose sum is -97.

• -48, 49
• 47, 50
• -49, -50
• -48, -49

Tags

CCSS.8.EE.C.7B

The length of a rectangle is 4 times the width. The perimeter is 60 cm. What are the dimensions?

• 6 and 24

• 15 and 15

• 10 and 20

• 4 and 15

Tags

CCSS.8.EE.C.7B

The length of a rectangle is 5 m greater than the width. The perimeter is 150 m. Which equation represents how to find the length and the width?

• 2x + 5 = 150

• 4x + 10 = 150

• 4x + 5 = 150

• 2x + 10 = 150

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

The width of a rectangle is 12 cm less than the length. The perimeter is 156 cm. What are the dimensions?

• 72 and 84

• 33 and 21

• 45 and 57

• 45 and 33

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

• x + y = 33
  y = 2x - 3
• x + y = 33
  x = 2y - 3
• x + y = 33
  x = 3 - 2y
• x + y = 3
  x = 33 - 2y

Tags

CCSS.HSA.CED.A.3

The sum of two consecutive integers is 123. How would you set up this equation?

• x+y=123

• (x)+(x+1)=123

• (x) + (x+2)= 123

• x=123

Bob is six years older than his sister. The sum of their ages is 32. How old is Bob?

• 19

• 13

• 32

• 6

Tags

CCSS.8.EE.C.8C