Fall Final Review

Linear Equations #1

1

Determine the y-intercept in the following equation:

y = 3x - 8

(0, -8)

2

Find the equation of a line that goes through the points (8, 15) and (8, -10).

x = 8

3

Determine the x-intercept of the following equation:

2x - 8y = 12

(6, 0)

4

Find the slope of the line that has the points (-11, 15) and (-8, 20)

m = 5/3

5

Find the equation of a line -in slope-intercept form that goes through the points (-5, 8) and (5, 16)

y = (4/5)x + 12

Functions

1

Determine which of the following is not a function:

A. y = 2x

B. y = 9

C. {(-5, 4), (-4, 4), (-3, 4)} 

D. {(4, -5), (4, -4), (4, -3)}

D

2

What technique can you use to determine if a graph is a function?

Vertical Line Test

3

What is the definition of a function?

A relation where each input has only one output.

4

Given f(x) = -8x + 9

Find f(-2)

f(-2) = 23

5

Given f(x) = 3x - 5 and g(x) = 8

Find f(4) * g(23)

f(4) * g(23) = 56

Solving Equations & Inequalities

1

Graph x > 18 on a number line.

Answer will be shown in class.

2

Solve for x:

-(2/3)x < 18

x > -27

3

3(2x - 8) = 6(x - 4)

Infinitely Many Solutions

4

A T-shirt maker wants to open his first store. If he chooses the store on Main Street, he will pay $810 in rent and will charge $35 per T-shirt. If he chooses the store on Broad Street, he will pay $560 in rent and will charge $25 per T-shirt. How many T-shirts would he have to sell in 1 month to make the same profit at either location?

25 t-shirts

5

(9/5)C + 32 = F is the formula to convert Celsius into Fahrenheit. Using this formula, create a formula which converts Fahrenheit into Celsius

C = 5/9(F - 32)

SURPRISE

1

Determine if the following implies causation:

The more people study for their Algebra I fall final, the higher their score on the exam.

Yes.

2

In y = kx, what does k represent?

The constant of proportionality.

3

A scatterplot has a correlation coefficient of r = .9.

This would best be described as:

A. Strong Positive Correlation

B. Strong Negative Correlation

C. Weak Positive Correlation

D. Weak Negative Correlation

A

4

Determine the explicit formula for the following sequence:

-8, -6.5, -5, -3.5, ...

a(n) = -8 + 1.5(n-1)

5

Determine the explicit formula for the following sequence:

2, 6, 18, 54, ...

g(n) = 2*3^(n-1)

Linear Equations #2

1

In the equation y = mx + b, what does b represent?

The y-intercept.

2

Find the equation of a line parallel to y = 8, and intersects the point (10, 12).

y = 12

3

Convert the following equation into slope-intercept form.

9x - 8y = 25

y = (9/8)x - 25/8

4

Find the equation of a line perpendicular to y = 2x +5 and goes through the point (0, 8)

y = -(1/2)x + 8

5

Find the equation of the line parallel to y = 3.2x - 8 and goes through the point (2,9.6)

y = 3.2x + 3.2