Math

word problem

100

4/5 of 2

0.4

200

3/5 of 2

0.6

300

4/5 of 2

0.8

400

1/6 of 2

0.8

Geometry

100

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

• circumference

300

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

p = sum of the three sides

400

50 = 3x + 5

3x = 50 – 5
3x = 45
x =15

Number theory

100

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

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

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

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

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

Addition

100

3+5

8

200

1+7

8

300

1+6

7

400

1+2

3

multiplication

100

11x1

11

200

11x2

22

300

11x3

33

400

11x4

44