Algebra Final Review

Proportional Relationships

100

Is y = x + 1/3 a proportional relationship?  Why or why now?

no.  There is a y- intercept

200

The line from a proportional relationship must go through which point?

(0, 0) aka the origin

300

True or False.  All linear relationships are proportional.

False.  

400

What is the slope of a proportional relationship that goes through the point (5, 10)

10/5 or 2

500

Lines that are parallel have the same _________

slope

Exponents

100

3⁵ x 3⁴ = 

3⁹

200

7⁵ / 7⁵ 

1

300

(3³ 3⁵)³

3²⁴

400

x⁵y³z²

x⁴y²z³

xy

z

500

7^-5

7⁵

1

7¹⁰

Scientific Notation

100

What is 84,000,000 in Scientific Notation? 

8.4 x 10⁷

200

What is 0.00003937 in scientific notation? 

3.937 x 10 ⁵

300

What is greater 1.0 x 10 ^-5 or 9.0 x 10 ^-4

9.0 x 10^-4

400

(5 x 10¹⁰⁾ (3 x 10 ^-4)

Answer in scientific notation

1.5 x 10 ⁷

500

(3 x 10 ⁶)  / (4 x 10⁵). 

Answer in scientific notation

7.5 x 10^-1

Linear Equations

100

In the equation y = mx + b.  m is the _______

slope

200

What is the slope of the line that goes through points (-4, -11) and (-2, -7)?

2

300

What is the slope of the line 3y = 6x -1

2

400

A line has a slope of m = -3/2 and the point (-6, 2) What is the y-intercept of the line? 

-7

500

Company A sells T-shirts for $4 each with a $12 set up fee.  

Company B sells T-shirts for $8 each with no set up fee. 

Which company is cheaper if you need to buy 3 shirts? 

Both companies would charge $24