Algebra Final Review

Chapter 4

100

What is the solution of a system of equations with parallel lines?

No solution

200

What is the solution of a system of equations that is the same line? 

Infinitely many solutions

300

Solve by substitution.

y = 2x

3x + y = 10

(2, 4)

400

Solve by substitution.

y = -9x + 8

y = -7x + 4

(2, -10)

500

Solve by elimination.

4x + 3y = -7

-4x - 2y = - 2

(5, -9)

Chapter 5

100

What type of graph does absolute value make? 

V

200

What is absolute value?

The distance to zero on a number line.

300

Evaluate the ceiling of -8.4

-8

400

Evaluate the floor of 2.9.

2

500

List all transformations of the function.

f(x) = -3|x + 2| - 6

Reflect across x-axis, left 2, down 6

Chapter 6

100

Solve.

3^x = 9

x = 2

200

Rewrite the exponential expression in radical form.

8^1/2

The square root of 8.

300

Rewrite the cube root of 11 in exponential form.

11^1/3

400

Simplify.

x⁶ • x⁵

x¹¹

500

Simplify.

(x⁸)²

x¹⁶

Chapter 7 Part 1

100

State the degree of the polynomial.

5x² + 9x⁶

6

200

Linear, quadratic, cubic, or quartic?

8x³ + 9x

Cubic

300

Monomial, binomial, or trinomial?

8x + 9

Binomial

400

Find the sum.

(6x + 2) + (4x + 1)

10x + 3

500

Find the difference.

(7x + 9) - (2x + 1)

5x + 8

Chapter 7 Part 2

100

Find the product.

2x(6x + 1)

12x² + 2x

200

Find the product.

(x + 1)(x + 8)

x² + 9x + 8

300

Factor out the GCF.

5x² - 10x + 25

5(x² - 2x + 5)

400

Factor.

x² + 11x + 10

(x + 10)(x + 1)

500

Factor.

2x² + 7x + 3

(2x + 1)(x + 3)