Equations
Inequalities
Word Problems
Rearranging for a Given Variable
Hodgepodge
100

x – 7x + 4 = 11

x = -1 1/6  

100

10 – 2a < 18

a > -4

100

Sam has $1,850 in her savings account and add $25 per month. Diego has $2,000 in his account and adds $20 per month. After how many months will they have the same amount in their accounts?

30 months

100

Solve for A:

abcd = e

a =  e/bcd

100

What property does this represent:

a + b = b + a

Commutative Property

200

3 = 5r -7(r + 1)

r = -5

200

6(2x - 4) + 20 > 8

x > 1

200

A sign making company, Signs-R-We, charges a set up art fee of $50 plus an additional $1.50 for each sign printed. Their competitor, Sign-Me-Up waives the art fee but charges $3.50 per sign. What is the largest number of signs you could print so that Sign-Me-Up would be a better deal than Signs-R-We?

24 or less

200
Solve for x:

x - 2y = 9

x = 9 + 2y

200

-8 - 3(-2^3 - 5)

31

300

-36 - 6x = 64 - x 

x = -20

300

 3 > 5r – 7(r + 1)

r > -5  or -5 < r

300

Seven times a number increased by 3 is the same as half the same number increased by 16. Find the number.

2

300

Solve for y:

4x + 2y = 12

y = -2x + 6

300

-15 + 3(4-5)3 * 2

-21

400

-110x - 2 - 18 = -5(22x + 4)

All real numbers

400

10 + 5n < 3n + 2

n < -4

400

The perimeter of a rectangle in 26 inches. The length is 3 inches longer than the width. Find the dimensions of the rectangle. 

Width is 5 inches and length is 8 inches

400

solve for b:

m/b

= s 

m/s = b

400

Factor:

24xy +16xy^2-32x^2y^2

8xy(3+2y-4xy)