Algebra Review

SOLVING EQUATIONS

100

Operations that undo each other are 

inverse operations

200

Solve for x:

6+2x=8

x=1

300

-8-2j=2j+8

j=-4

400

4(b-20)=-12

17

500

10-h=-4+2h

h=14/7

SOLVING INEQUALITIES

100

When solving an inequalitiy, you ________ when you are multiplying or dividing by a negative number.

Flip the inequality sign

200

Solve for x:

2x+2>8

x>3

300

Solve for x:

10>0.75x+4

x<8

400

Solve for x:

-3(2x+7)<3

x>-4

500

When graphing a system of linear inequalities, the solutions are:

The shaded region they share

QUADRATICS

100

The shape of a quadratic is called a

parabola

200

The solutions to a quadratic are the where on the graph?

x-intercepts

300

When the a value is between 0 and 1, what happens to the shape of the parabola?

It widens

400

The standard form for quadratic functions is

ax²+bx+c

500

The vertex form of a quadratic equation is 

a(x-h)²+k

EXPONENTS

100

x⁰ * 3

3

200

(x²)³

x⁶

300

2xy * 2x²y²

4x³y⁴

400

Write the expression in simplest form with only positive exponents, simplify your answer:

5^-1 * 5^-2

1/125

500

(-3x²yz^-2)²

9x⁴y² / z⁴

POLYNOMIALS

100

A polynimial with 3 terms and a degree of 2 is called a....

Qudaratic Trinomial

200

(2x+3)(x+2)

2x²+7x+6

300

(x²+3x+4)(2x+3)

2x³+9x²+17x+12

400

Factor:

w²-14w+13

(w-13)(w-1)

500

Factor:

2x²+7x+5

(2x+5)(x+1)