Algebra I Units 1-7

Equations Inequalities and Functions

100

What is the slope of the line represented by the equation 

y = -3x + 7

-3

200

A combination of two or more inequalities using the word and or the word or is a(n) _______________.

compound inequality

300

What is the slope of the line that is parallel to the line with equation

y = 1/2 x + 4

1/2

400

Describe the graph of the solution x > 0.

A number line with a(n) _________ circle at 0 and shading to the _______.

or  

A graph that is (above/below) the _______.

A number line with an open circle at 0 and shading to the right.

or 

A graph that is above the x-axis.

500

Find the x-intercept for the line given by the equation 

4x - 5y = 20

5

Piecewise Functions

100

The term for all possible input values of a piecewise function.

Domain

200

Evaluate the function f(x) defined as f(x) = 

{x + 2       if ≤ 1

2x - 1      if x > 1,

for x = -1

1

300

True or False: 

A piecewise function can include both linear and nonlinear pieces?

True

400

Is this a ceiling or floor function?

Floor Function

500

For the function f(x)=

{2x+1 if x<0

x²−2 if x≥0, identify the domain.

All real numbers

Exponents and Radicals

100

Simplify the expression x⁰

1

200

Simplify 16^1/2

4

300

The expression for multiplying the same base, such as (a^m)(aⁿ)

a^m+n

400

Simplify the expression 3x^-2

3/x²

500

The simplified form of a^1/2 * a^1/3

a^5/6

Adding / Subtracting Polynomials

100

Find the sum (2x+3) + (3x+4)

5x + 7

200

The sum of (5x³−3x+2) and (2x³+x−5)

7x³ - 2x - 3

300

The sum of (2x² + 3x + 4) + (x² + x - 6)

3x² + 4x - 2

400

(4x³ - x + 1) - (x³ + 2x)

3x³ - 3x + 1

500

Express (6x²+3x-2) - (4x²+2x+1) in simplest terms.

2x² + x - 3

Multiplying / Factoring Polynomials

100

x(x+3)

x²+3x

200

Factor x² + 5x + 6

(x+2)(x+3)

300

Factored form of x² + 4x + 4

(x+2)²

400

Determine the product of (x² + x + 1) and (2x - 3)

2x³ - x² - x - 3

500

Factor the trinomial

3x² + 12x + 12

3(x+2)²