Algebra 1

Solving Equations

100

Solve for x: 3x + 6 = x - 4

x = -5

200

Solve for x: -2(x-3) = 3(x+3)

x = -3

300

Solve for x: 5(x+4) = 5x + 16

No solution!

400

Solve for x: 

3x + 10 - 2x = 8 + 3x + 22

x = -10

500

Solve for x: 

-5 | 3 - 4 | + 5 * 3 = 10x

x = 1

Vocabulary

100

What is the name of the graph of a quadratic function?

Parabola

200

In the expression 3x² + 5, 

3 is a _______

x is a _______

2 is a _______

5 is a _______

3 is a coefficient

x is a variable

2 is a exponent

5 is a constant

300

A polynomial with 2 terms is called a _____

Binomial

400

Define domain and range.

Domain is the set of all possible x-values. 

Range is the set of all possible y-values.

500

Name the 5 ways to solve a quadratic function.

1) Graphing

2) Square Roots 

3) Factoring

4) Completing the Square

5) The Quadratic Formula

Factoring

100

Factor: x² + 7x + 12 = 0

(x+4)(x+3) = 0

200

Factor: x³ - 6x² + 8x = 0

x(x-4)(x-2) = 0

300

Factor: 3x²-2x-5 = 0

(3x-5)(x+1)= 0

400

Find the solutions by factoring: x² - x - 42 = 0

x = 7 and x = -6

500

Factor: 3x³ + 14x² + 8x = 0

x(x+4)(3x+2) = 0

Functions

100

Identify the slope and y-intercept of this function: 

y = -3x + 5

Slope = -3

Y-intercept = 5

200

Identify the type of function and the vertex: 

y=-3|x+5|-4

Absolute Value Function

Vertex: (-5,-4)

300

Identify the type of function and the axis of symmetry: 

y = 3x² + 6x + 10

Quadratic Function

AOS: x = -1

400

What type of function is this? 

y = 2^x

Exponential Function

500

Find f(2). 

f(x) = -x² + 3x + 5

f(2) = 7

PEMDAS

100

Simplify: 

3 * (1+2)² + 1

28

200

6 ÷ 3 * 7 + 3 - 1

16

300

3| 1 - 5 | + 8

20

400

2(6+5)² ÷ 22 + 19

30

500

30 ÷ 3 * 2 + 16 + 4 - 3 * 2

34