Algebra 2 Midterm Review

Equations/Inequalities/Absolute Value

100

9x + 17 = 6x + 10

What is x = -7/3

200

2 + |3x - 2| = 4

What is x = -4/3 or 0.

300

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

What is x < -7.

400

-23 < 5x + 2 < 17

What is - 5 < x < 3.

500

2|10x + 7| - 1 > 73

What is x > 3 or x < -22/5.

Systems/Matrices

100

If f(x) = 2x - 4. Find f(0).

What is f(0) = -4.

200

What does 2A + 2B equal if... A = [2 -3 4 -1] B = [-1 2 3 4]

What is [2 -2 14 6].

300

Solve the system of equations. 3x + y = -14 4x + 3y = -22

What is (-4, -2).

400

What are the different options of answers when graphing two linear graphs on the same grid?

Independent and Consistent

Independent and Inconcistent 

Dependent

500

Solve

x + y =13

x - y + 2w = 10

-x - 2y + 6w = -2

What is (3, -2, -1/2)

Quadratics

100

Solve. 2x² - 4x - 30 = 0

What is {5, -3}.

200

Solve. 6x² - 5x - 11 = 0

What is {11/6, -1}.

300

-x² + 4x - 3 

(x - 3)(x - 1)

400

12x² + 13x - 14 = 0

x = -7/4, 2/3

500

What is the quadratic formula and the discriminant?

See Ms. Sara for answer

Polynomials/Exponent Rules

100

(4x³ - 3x² + 2x) - (3x² + 4x - 2)

What is 4x³ - 6x² + 6x - 2.

200

(3x - 2)(2x² + 4x - 6)

What is 6x³ + 8x² - 26x + 12.

300

(3a)²(7b)⁴

What is 21609a²b⁴

400

(2x - 3y)²

What is 4x² - 12xy + 9y².

500

Find the missing factors.

2x³ + 15x² + 22x - 15; x + 5

2x + 1; x + 3

Misc.

100

Factor. x² - 13x + 40.

What is (x - 5)(x - 8).

200

Factor. 10x² + 45x

What is 5x(2x + 9).

300

Factor. 3x² - 20x + 28.

What is (x - 2)(3x - 14).

400

(x⁴ + 5x³ + 3x² - 8x + 3) ÷ (x + 3)

What is x³ + 2x² - 3x + 1

500

Solve x² + 8x + 16 = 25 by using the square root property. 

x = -9, 1