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word problem
Geometry
Number theory
Addition
multiplication
100

4/5 of 2

0.4

100

 A circle has a diameter of 3.0 inches. What is its

  • circumference
100
  • The sum of two consecutive integers is 15. Find the numbers.

n + (n + 1) = 15
2n + 1 = 15
2n = 14
n = 7   Co

100

3+5

8

100

11x1

11

200

3/5 of 2

0.6

200
  • The product of two consecutive negative even integers is 24. Find the numbers.

(n)(n + 2) = 24
n2 + 2n = 24
n2 + 2n – 24 = 0
(n + 6)(n – 4) = 0

200

1+7

8

200

11x2

22

300

4/5 of 2

0.8

300

let x = length of the equal side sketch the figure.

p = sum of the three sides

300
  • Twice the larger of two numbers is three more than five times the smaller, and the sum of four times the larger and three times the smaller is 71. What are the numbers?

4[ (5/2)y + (3/2) ] + 3y = 71
10y + 6 + 3y = 71
13y + 6 = 71
13y = 65
y = 65/13 = 5

300

1+6

7

300

11x3

33

400

1/6 of 2

0.8

400

50 = 3x + 5

3x = 50 – 5
3x = 45
x =15

400

The larger number is 14, and the smaller number is 5.

x = (5/2)y + (3/2)
x = (5/2)(5) + (3/2)
x = (25/2) + (3/2)
x = 28/2 = 14

400

1+2

3

400

11x4

44