Simplify/Evaluate
Distributive Property
Write the equation
Word Problems
Consecutive Integer Problems
100

3(11-7) divided by 2 x 5 - 4

2

100

3(x - 5) - 6x

-3x - 15

100

Five less than twice a number is 15.

2n - 5 = 15

100

Joseph worked 8 hours less than Lois. Together they worked 72 hours. How many hours did each work?

L + L - 8 = 72

100

The sum of three consecutive integers is 39.

n + n + 1 + n + 2 = 39

200

(-2 + 7) times (-3)2

45

200

2(y - 4) - (y + 3)

y - 11

200

Two times the quantity x minus 1 is 12.

2(x - 1) = 12

200

A 25 ft piece of cable is cut into two pieces. One piece is 5 ft longer than the other. What are the lengths of the pieces?

x + x + 5 = 25

200

The sum of three consecutive odd integers is 45.

n + n + 2 + n + 4 = 45

300

(4x)(5y)(-3z)

-60xyz

300

-(7 - x) - 3(x - 4) 

-2x + 5

300

The number x is seven more than one-fourth of itself.

x = 1/4x + 7

300

One number is twice another number. The larger number is also 32 more than the smaller number. What are the numbers?

2x = x + 32

300

The product of two consecutive even integers is 80.

n(n + 2) = 80

400

Evaluate when a = -2, b = -3, c = 4, x = 6, y = 8.

3y - (2x / c)

21

400

1/3(9x + 12y) - 1/4(-36x - 20y)

12x + 9y

400

Twice a number is 12 more than five times the number.

2n = 5n + 12

400

A 16 ft piece of wood is cut into 2 pieces. One piece is 4 ft shorter than the other. How long is each piece?

x + x - 4 = 16

400

The sum of three consecutive even integers is 50 more than the largest integer.

n + n + 2 + n + 4 = n + 4 + 50

500

Evaluate when a = -2, b = -3, c = 4, x = 6, y = 8.

-(x - b) + c

-5

500

-36(-1/4)(1/3)

3

500
Nine times x is twice the sum of x and five.

9x = 2(x + 5)

500

The house is 12 years older than the garage. The house is also three times as old as the garage. How old is each building?

g + 12 = 3g

500

The largest of three consecutive odd integers is 72 more than the smallest.

n + 4 = n + 72

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