Equations
Inequalities
Word Problems
Hodgepodge 1
Hodgepodge 2
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

What number could be multiplied by this whole equation in order to bust the fractions?

1/2x - 3/8 = 5/6

24, 48...

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

What is the smallest power of ten you could multiply this equation by in order to bust the decimals?

1.23m - .561 < 29


103 or 1000

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

28 is 73% of what number?

38.4

300

Factor Completely:  

16mno2 + 8m2 +24m3n2o4 + 2mn2

2m(8no2 + 4m + 12m2n2o4 + n2)

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

simpilfy:  - ( - ( - ( - 1)3))

1

400

Simplify:  

(-x)^4 - (-x^3) if x = -3

54

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

Simplify:

(3x+5y)/2 - (x-y)/2

x + 3y

500

solve the compound inequality:

2 < 2(x-3) < 10

4 < x < 8