Equations
Inequalities
Word Problems
Rearranging for a Given Variable
Hodgepodge
100

x – 7x + 4 = 11

x = -1 1/6  

100

6(2x - 4) + 20 > 8

x > 1

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

12 + r – 2(r+ 1) = 3

r = 7

200

3 > 5r – 7(r + 1)

r > -5  or -5 < r

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

Factor out the greatest term:

6a^2bc^4 - 8ab^3c^5

2abc^4(3a - 4b^2c)

300

-110x + 2 = -7x + 61

x = -.6

300

-2(a - 10) < 6(a-2)

a>-4

300

Brandon is 10 years older than Brian. In 2 years, Brandon will be 3 times as old as Brian. How old are they now?

Brandon is 13 and Brian is 3

300

Solve for y:

4x + 2y = 12

y = -2x + 6

300

Solve for x:

abs(x-2) = 3

x = 5 or -1

400

8 - 2(2x  -  3)  = 11 - 4x + 3

All Real Numbers

400


-1/6 + 2/3x<3/4x+7


x > -86

400

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

2

400

solve for b:

m/b = s

m/s = b

400

solve the compound inequality:

2 < 2(x-3) < 10

4 < x < 8

500

4x - 3 = 4(x - 0.75) - 1.2

no solution

500

21x + 4 - 3(5x + 2) < 6x + 2

All real numbers

500

The perimeter of a rectangle is 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

500

solve for r:

r2 + v = h


r = sqrt(h-v)

500

solve for x:

abs(10+4x) < 14

-6 < x < 1