Algebraic Expressions
Polynomials
Radicals and Dividing Polynomials
Factoring Polynomials
Linear and Quadratic equations
100
Simplify:
2xy + x + y - 7 + 8y - 5x + xy
What is 3xy - 4x + 9y - 7
100
6 Laws of Exponents
What is Product of Powers, Power of a Power, Negative Exponents, Quotient of Powers, Power of Quotient, and Zero as an Exponent
100
Simplify
√(6a4)
What is a2√6
100
Find GCF of 4a3b2 and 9a2b3 with prime factorization
What is a2b2
100
Solve System of Linear equations:
2x + 9 = y
9 = 5x - 2y
What is (-1, 7)
200
Evaluate:
What is 54
200
Add -x4 + x2 + x + 7 and 5x4
What is 4x4 + x2 + x + 7
200
Simplify:
What is
4 √2
3
200
Factor out a monomial:
2n6m3p2 - 4n2m3p2 + 8n3m5p3:
What is 2n2m3p2(n4 - 4 + 8nm2p)
200
Use Zero Product-Factoring Method to solve this:
3x2 - 2x - 16
What is
(x + 2) (3x - 8) and x = -2, 8/3
300
Solve for x:
5(x + 1) + 9 = x + 2(3 + x)
What is x = 4
300
Subtract -5x4 + x2 from x - 1 - x4
What is 4x4 - x2 + x - 1
300
Divide -6x2 + 7x -20 by 2x + 5
What is -3x - 4
300
Factor out the binomial
4s(s + 6) - 5(s + 6)
What is (4s - 5) (s + 6)
300
Complete the Square:
2x2 + 14x + 24 = 0
What is x = -3, -4
400
Write as an algebraic expression:
5 less the square of 3 plus a number, increased by the product of 6 and the same number
What is 5 - (3 + n)2 + 6n
400
Multiply 2x3 and 3x + 2y - 9
What is 6x4 + 4x3y - 18x3
400
Divide 2x3 - x2 + 4x + 3 by 2x - 1
What is x2 + 2
400
Factor:
6b3 + 8b2 + 9b + 12
What is (2b2 + 3) (3b + 4)
400
What are the different solutions for quadratics? And what does the solution mean?
What is 0, 1, or 2 real solutions and x-intercept
500
Write as an algebraic expression:
2 more than, the product of 8 and a number, x, is equal to 9 less the product of 5 times a number, x.
What is 8x + 2 = 9 - 5x
500
Multiply -2y + 8x and 4x + 3x2 + 3y
What is 24x3 + 32x2 - 6x2y - 6y2 + 16xy
500
Divide 2x3 + 4x2 + 5x - 1 by x - 3
What is
500
Factor:
-15x2 + 10x3 + (8x - 12)
What is (5x2 + 4) (2x - 3)
500
Solve using Quadratic formula:
x2 - x - 44 = 12
What is x = -7, 8