Chapter 8 Test Review

Adding and Subtracting Polynomials

100

Simplify: (4a - 5) + (3a + 6)

What is 7a + 1

200

Simplify: (11m - 7n) - (2m + 6n)

What is 9m - 13n

300

Simplify: (2h^2 - 5h) + (7h - 3h^2)

What is -1h^2 + 2h

400

Simplify: (2x^2 + 5xy + 4y^2) + (-xy - 6x^2 + 2y^2)

What is -4x^2 + 4xy + 6y^2

500

Simplify: (4x^2 + 6xy + 2y^2) - (-x^2 + 2xy - 5y^2)

What is 5x^2 + 4xy +7y^2

Multiplying Polynomials

100

Simplify: -x(2x^2 - 4x) - 6x^2

What is -2x^3 - 2x^2

200

Simplify: 2b(b^2 + 4b + 8) - 3b(3b^2 + 9b - 18)

What is -7b^3 - 19b^2 + 70b

300

Simplify: (x + 2)^2

What is x^2 + 4x + 4

400

Simplify: (m + 3)(m^2 + 3m + 5)

What is m^3 + 6m^2 + 14m + 15

500

Simplify: (3y^2 + 2y + 2)(3y^2 - 4y - 5)

What is 9y^4 - 6y^3 - 17y^2 - 18y - 10

Factoring

100

Factor: 10q - 25q^2

What is 5q(2 - 5q)

200

Factor: b^2 - 2b + 3b - 6

What is (b + 3)(b - 2)

300

Factor: a^2 + 10a + 24

What is (a + 6)(a + 4)

400

Factor: 2x^2 + 3x - 6

What is prime

500

Factor: 8m^2 - 44m + 48

What is 4(2m - 3)(m - 4)

Solving Equations

100

Solve: 3(x + 5) - 6 = 18

What is x = 3

200

Solve: 5(2x^2 - 1) - (10x^2 - 6) = -(x + 2)

What is x = -3

300

Solve: (a - 9)(2a + 1) = 0

What is a = 9 or -1/2

400

Solve: 4y^2 = 28y

What is y = 0 or 7

500

Solve: 2x^2 + 7x + 3 = 0

What is x = -3 or -.5

Misc.

100

Factor: 36t^2 - 24t + 4

What is 4(3t - 1)(3t - 1)

200

Solve: x^2 - 18x + 81 = 0

What is x = 9

300

Factor: 3z^2 + 16z - 35

What is (3z - 5)(z + 7)

400

Solve: 6d^2 + 21d = 10d + 35

What is x = -3.5 and 1.67

500

Factor: 2y^2 + 11y + 18

What is prime