Algebra Review

Absolute Values

100

What is an absolute value?

The distance from zero on the number line

200

Can absolute values be negative?

No, absolute values are always positive.

300

Solve:

|-7|

7

400

Solve:

|-8 + 2|

6

500

Solve:

|x + 2| = 3

x = 1 AND x = -5

Simplifying Expressions

100

What is an expression?

Contains #'s & variables, but NOT an =

200

What is the first step when simplifying an expression?

Combing like terms

300

Simplify:

x² + 10x - 6 - 5x + 4

x² + 5x - 2

400

Simplify:

-2(3x + 4) + 2(x-6)

-4x - 20

500

Simplify:

2x + 4[2 - (5x - 3)]

-18x + 20

Solving Equations

100

What does an equation have that an expression does not?

Equation has an =

200

What is the goal to solving equations?

To get any variable (x) by itself

300

What is the important rule when solving an equation?

Whatever you do to one side of the equal sign must also be done to the other side

400

Solve:

5x - 7 = 2

x = 9/5

500

Solve:

7(x+4) = 6x + 24

x = -4

Inequalities

100

What is an inequality?

<, >, less than or equal to, greater than or equal to, not equal to

200

Write: x is less than 10

x < 10

300

Solve:

x + 7 > 13

x > 6

400

Solve:

1/4x < 2

x < 8

500

Solve:

3 - 5x > 18

x < -3

Evaluating

100

What does it mean to evaluate?

Calculating a variable of a function for a given variable

200

Evaluate f(x) = 2x²-3x+1 when x=-3

f(-3)=28 or (-3,28)

300

Evaluate 4h-2/5+1 when h=2

h=1 or (2,1)

400

Evaluate f(x)=2(x)²-3(x)+1 when x=a+h

f(a+h)=2a²+4ah+2h²-3a-3h+1

500

Evaluate f(x+h)-f(x)/h=[2(a+h)²-3(x+h)]+1[-2x²-3x+1]/h

f(x+h)-f(x)/h=4x+2h-3