Foundation Final Exam 2020

Which of these is a way of describing or defining the slope?

• the changes in height over the changes in run

• the steepness of a line

• $\frac{x_2-x_1}{y_2-y_1}$

• rise over run

Which of these are linear equations?

• x = 4

• y = 3

• Ax + By = C

• y = x + 4

Which of these is the slope of the equation below?

y = 4x - 7

• y

• 4

• x

• -7

y = 4x - 5

Which of these describe the y-intercept?

• The y-intercept is the rate of change.

• The y-intercept is the point where the line crosses the y-axis.

• The y-intercept is when x = 0.

• The y-intercept is some times called the beginning amount.

True or False.
The slope formula is

 $m=\frac{y_2-y_1}{x_2-x_1}$  

• True

• False

Which is the slope intercept form of the linear equation given below?
2x - 3y =10

•  $y=\frac{2}{3}x\ +10$  

•  $y\ =\frac{-3}{2}x\ -5$  

•  $y=\frac{2}{3}x\ -\frac{10}{3}$  

•  $y=\frac{-2}{3}x+\frac{10}{3}$  

Write a linear equation in point slope form that has the given slope and passes through given point.

m = 7, (3, -6)

• -6 =7x + 3

• y = 7x - 27

• y + 6 = 7(x - 3)

• None of these

Which of these is a graph(s) of a linear equation(s)?

• 
• 
• 
• 

 $\frac{81a^7b^3c^{-6}}{3a^2b^{-5}c^3}$  

Simplify.

•  $27a^{\frac{7}{2}}b^{\frac{3}{-5}}c^{-2}$  

•  $27a^5b^8c^{-3}$  

•  $\frac{27a^5b^8}{c^9}$  

• none of these

 $\left(3a^5bc^3\right)^4$  

Simplify.

•  $81a^{20}b^4c^{12}$  

•  $81a^9b^4c^7$  

•  $3a^{20}bc^{12}$  

• None of these