Algebra I - NJSLA REVIEW

Solving Equations

100

Solve for x: 2x + 5 = 13

x = 4

200

Solve for x:

4x + 1 = 2x + 11

x = 5

300

Solve for x:

(2/3)x + 5 = 11

x = 9

400

Solve for x:

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

x = 2

500

Solve for x:

3(x + 3) + 2x = 5(x + 3) - 6

Infinite Solutions

Exponents

100

Simplify:   x³(x⁵)=

x⁸

200

Simplify:     (x³)⁵=?

x¹⁵

300

Simplify: x⁰

1

400

Simplify:    (3x²)³

27x⁶

500

Simplify:      x⁵y²(xy^-10) = ?

x⁶/y⁸

Name that Form

100

y = mx + b

Slope-Intercept Form

200

y - y₁= m(x - x₁)

Point-Slope Form

300

Ax + By = C

Standard Form 

400

y = ax²+bx+c

Standard Form of Quadratics

"Standard Form is Accepted"

500

y = a(x - h)² + k 

Vertex Form of Quadratics

"Vertex Form is Accepted"

Functions

100

f(x) = x + 4

Find f(3).

f(3) = 7

200

Find g(10), if g(x) = x² - 11

g(10) = 89

300

f(x) = x²+5.    Find f(-2). 

f(-2) = 9

400

h(x) = 2x + 11.

What is the value of x, when h(x) = 3

x = -4

500

g(x) = x²

If g(x) =16, what is x.

x = 4 or x = -4

(Must have both answers)

Bonus

100

What is the slope of the linear equation shown below:

 y = 2x + 5

m = 2

200

What is the slope of the linear equation shown below:

y = -x + 1

m = -1

300

What will this help you find:

x = -b/(2a)

Axis of Symmetry:

Linea Medio

400

What is the vertex:

y = 2(x + 1)² + 3

(-1, 3)

500

What is the slope of the line that is perpendicular to the line shown below:

y = (2/3)x + 1

m = -(3/2)