Alg Topic 1, 2, 3 Review

Equations

100

-4x + 3x = 2

What is x equals -2

200

Many or No Solutions

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

Many

300

Many or No Solution 

What is the value of x

6x - 5 = 2(3x + 4)

No Solution

400

P = 2r + 2w

w = (P - 2r)/2

500

Solve for w

p = 2(r + w)

w = (p - 2r)/2

Inequalities

100

Solve the inequality

3.5x + 19 > 1.5x - 7

x > -13

200

Solve the inequality 

Many or No Solution 

4x - 5 < 2(2x - 3)

-5 < -6

No Solution 

300

-5(2x - 3) < 34

x > -1.9

400

Using a number line, graph the inequality on -2 with a close circle shaded to the left.

How do you graph x is less than or equal to -2

500

What is the solution of 

-12 < 7x + 9 < 16

and graph the solution 

-3 < x and x < 1

-3 < x < 1

Linear Equations

100

What is the slope?

y = -3x - 5

-3

200

What is the slope of a line with two points:

(-1, -2) and (3, 4)

The slope is 3/2

300

What is the y-intercept of a line that passes through the points (-1, -2) and (3, 4)

The y-intercept is -1/2

400

Write in standard form:

Slope = 1/2  Point on the line is (3, -2) 

y + 2 = 1/2(x - 3

500

What is the slope of the perpendicular line to

y = 4/3x + 2

-3/4

Linear Functions

100

Continuous or Discrete?

{(0, 5), (-2, 3), (1, 4), (-3, 1)}

Discrete

200

True or False

A circle is a linear function 

False

300

The following coordinates is a Linear Function:

TRUE OR FALSE.. Why

{(0, 5), (-2, 3), (1, 4), (-2, 1)}

False because there are two inputs with the same value. 

-2

400

Find the value of f(5)

f(x) = -2(x + 1)

f(5) = -12

500

What is the new linear function and Describe the Transformation:

f(x) = x + 2 --> g(x) = (x-1) + 2

y-intercept? 

Slope? 

Range: 

Domain: 

Shifted up, down, left, or right? 

g(x) = x + 1

y-intercept? 1

Slope? 1

Range: All real numbers

Domain: All Real numbers 

Shifted up, down, left, or right? Shifted one unit to the left

Absolute Value Functions

100

What is the vertex?

f(x) = lx -3l - 1

(3, -1)

200

Where two lines meet and create a corner 

What is a vertex?

300

The function is narrower when...

the slope is a fraction or the denominator is larger than the nominator 

400

What is the absolute value function with a vertex of (-3, 6) and a slope of -3/2

f(x) = -3/2 l x+3 l + 2

500

What kind of function and Describe the Transformation:

f(x) = l x l --> g(x) = -lx-1l + 5

Vertex?

Slope?

Absolute Value function 

Vertex? (1,5)

Slope? Same

Up or Down? Down

Max or Min? Max of 5

Shifted up, down, left, or right? Shifted right one unit and Shifted up 5 units