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Adding/Subtracting Fractions
Factoring Polynomials
Multiplying/Dividing Fractions
Algebraic Expressions/Word Problems
Solving Equations
100
Solve with positive numberator and denominator: -5/7x + -2/3x
-(29/21x)
100
Factor: a^2 - 49
(a+7)(a-7)
100
Multiply and Simplify: a/(a+b) x b/(a-b)
ab/(a^2 - b^2)
100
Express the sum of l and m divided by 2, and that result multiplied by n
n[(l + m)/2]
100
Solve for x: x^2 + 8x = 20
x = -10, x = 2
200
Solve: 2a/3b + 3a/2b
13a/6b
200
Factor: 8x^2 +2x^4
2x^2(4+x^2)
200
Multiply and Simplify: 3a^2/(5a - 10) x (3a - 6)/4a^3
9/20a
200
Express that product of s and (r-1) divided by the square of the sum of t and v.
s(r-1)/(t + v)^2
200
Solve for y: y^2 - 7y - 18 = 0
y = 9, y = -2
300
Solve: [(1 - x)/3] - 4x
(1 - 13x)/3
300
Factor: 9x^2 - 42x + 49
(3x - 7)(3x - 7) or (3x - 7)^2
300
Divide 3abm/7 by abx. Simplify.
3m/7x
300
Express the result of b being added to the numerator and subtracted from the denominator of a/c.
(a + b)/(c - b)
300
Solve: 2x + (x/3) = 35/3
x = 5
400
Solve: (a-b)/ab + (b-c)/bc
(a-c)/ac
400
Factor: 3a^2 + 4a +1
(3a + 1)(a + 1)
400
Divide 5mn/6bx by 10m^2n/3ax^2. Simplify.
ax/4bm
400
The sum of a certain number and 3 times the number is 40. What is the number?
10
400
Solve for x: (x/2) + (x/6) = 10/3
x = 5
500
Solve: (a+b)/(a-b) - (a-b)/(a+b)
4ab/a^2-b^2
500
Factor: 5x^2 +13x+6
(5x + 3)(x +2)
500
Divide (x^2 - 4)/(x^2 -1) by (x + 2)/(x - 1). Simplify.
(x - 2)/(x +1)
500
The sum of two numbers is 100. One number is 4 times the other number. What are the two numbers?
20 and 80.
500
Solve for x: 7 1/2 - (3x/14) = x/7
x = 21