Algebra 1 Review

Multiplying Binomials and Factoring Quadratics

100

What does FOIL stand for?

First 

Outside 

Inside

Last

200

Multiply the binmials to create a trinomial. 

(x + 7)(x - 8)

x² - x - 56

300

Multiply the binomials to create a trinomials 

(4x + 9)(x +2)

8x² + 23x + 18

400

Factor the following Quadratic:

x² - 3x - 28

(x - 7)(x + 4)

500

Factor the following quadratic

3x² + 2x - 8 

Hint: use tic tac toe (will not be on the test)

(3x - 4)(x + 2)

Solving Radical Equations

100

solve for x

sqrt(x) = 81

x = 9

200

What are the 4 steps of solving a radical equation?

Isolate 

Raise 

Solve 

Check

300

solve for x

sqrt(6x - 32) + 17 = 21

x = 8

400

solve for x

sqrt(3x + 108) − 14 = -5

x = -9

500

solve for x

sqrt(x² - x  + 5) = sqrt(x² + 4)

x = 1

Solving Equations

100

What does PEMDAS stand for?

Parentheses

Exponents 

Multiplication

Division 

Addition 

Subtraction

200

56 = −48 − 8y

y = -13

300

9 = (−1/3)z − 7

z = -48

400

7x − 3 = 9x − 21

x = 9

500

−11x − 4 = −6x + 31

x = -7

Domain and Range

100

Domain contains all possible...

x - values

200

Range is read in what direction on a graph? (order matters)

Down to up.

300

What does a parentheses in interval notation communicate about the graph?

The point is not included.

400

Draw a graph with a range of [-2, 8] and a domain of [-5, 10].

Answers will vary

500

Draw a graph with a domain of (-6, 5] and a range of [-3, 6].

Answers will vary

Exponent Properties

100

True/False: rules for coefficients and exponents are always the same when performing an operation. 

False

200

Simplify: 4x⁸y⁹/2x⁴y⁵

2x⁴y⁴

300

Simplify: 5x⁴y⁶z⁴(6y²z³)

30x⁴y¹²z⁷

400

Simplify: (3x⁹)³

27x²⁷

500

Simplify: 3x⁴y⁵(2x²y)³

24x¹⁰y⁸