Algebra Review

Calculator Shortcuts

100

Used to solve equations with 1 variable

Menu 31

200

Used to solve systems of equations

Menu 32

300

Used to solve the roots of a quadratic equation

Menu 332

400

Used to solve quadratic regressions on the graph screen

Menu 416

500

Used to trace the graph

Menu 51

Systems of Equations

100

y=-10x+1

y=x-10

(1,-9)

200

y=4x-21

y=x-6

(5,-1)

300

y=2x+6

y=-3x+7

(0.2,6.4)

400

y=x-31

y+x=12

(21.5,-9.5)

500

x+y=5

y=5x-24

(4.833,0.167)

Exponent Rules

100

(2x³)²

8x⁶

200

6³(3x²)²

1944x⁴

300

(3x²y⁴)³

27x⁶y¹²

400

(28a⁴b²c⁵)(12c²b⁵)

366a⁴b⁷c⁷

500

(3a⁵bc⁹)²(4b⁶c⁴)⁵

9216a¹⁰b³²c³⁸

Quadratic Transformations

100

What transformation does the equation represent?

g(x) = f (x + 2) − 5

Left 2, Down 5

200

What transformation occured?

g(x) = f(x) − 9

Down 9

300

What transformation occurred?

g(x) = (x - 7.5)²

Right 7.5

400

What transformation occured?

g(x) = (x + 7.5)+2

Left 7.5 and Up 2

500

What does the quadratic transformation does the equation represent?

 h(x) = 0.33x² + 2 and down 7 units

Scale of .33 and down 5 units

Slope Intercept Form

100

What is the slope and y-intercept?

f(x)=11x-3

Slope = 11

y-intercept = -3

200

What is the slope and y-intercept?

y=x

Slope = 1

y-intercept = 0

300

What is the slope and y-intercept?

y=0.5x-1

Slope = .5

y-intercept = 1

400

What is the slope and y-intercept?

f(x)=x-.5

Slope = 1

y-intercept = .5

500

What is the slope and y-intercept?

z(x)=8x

Slope = 8

y-intercept = 0