Accelerated 8 Lesson 9

Accelerated 8

February 3, 2021

Vertical Line Test

On a graph, the idea of single valued means that no vertical line ever crosses more than one value.

If it crosses more than once it is still a valid curve, but is not a function.

Multiple Select

Five input/output tables are shown. Select all the tables that model functions.

Multiple Choice

Which graph is not a function?

Multiple Choice

Quiz 15 Review Question: Go look up what you answered, keep it the same if it was correct. 

Two linear functions are shown. At what point do the two functions intersect?

• $\left(-4,8\right)$

• $\left(-2,6.5\right)$

• $\left(0,3\right)$

• $\left(2,2.5\right)$

Fill in the Blank

Quiz 15 Review Question: Go look up what you answered, keep it the same if it was correct. 

Two different van rental companies charge a flat rate to rent a van, plus a charge per mile a van is driven. Mandy's van rental uses the equation   $y=0.28x+37.50$  to calculate the cost to rent a van, where x is the number of miles the van is driven and y is the total cost. The table shows the cost to rent vans at Veronica's Van Rentals. What is the different between the flat rate at Veronica's Van Rentals and the flat rate at Mandy's Van Rentals?

Multiple Choice

Quiz 15 Review Question: Go look up what you answered, keep it the same if it was correct. 

Josie compares Function 1,   $y=\frac{1}{2}x-2$  , with Function 2, a linear function modeled by the points in the table below. Which statement correctly compares the two functions?

• The rates of change of both functions are positive.

• The y-intercept of Function 1 is the same as that of Function 2.

• The y-intercept of Function 1 is greater than that of Function 2.

• The rate of change of Function 1 is the same as that of Function 2. 

Multiple Choice

Quiz 15 Review Question: Go look up what you answered, keep it the same if it was correct. 

Which table represents a linear function?

Multiple Choice

Quiz 15 Review Question: Go look up what you answered, keep it the same if it was correct.

Toby needs to buy 15 reeds for his clarinet from an online store. Company 1 charges its customers based on the graph where x is the number of reeds and y is the total charge. Company 2 charges its customers based on the chart. Which store charges Toby less for 15 reeds and by how much?

• Company 1 charges $0.25 less than Company 2.

• Company 1 charges $3.25 less than Company 2.

• Company 2 charges $2.25 less than Company 1.

• Company 2 charges $0.50 less than Company 1.

Fill in the Blank

Write the slope intercept form of the equation of each line. (y=mx+b)

 $5x-3y=9$  

Fill in the Blank

Solve the equation for x. If x equals a number, write the number, if not:
I = infinite
NS = no solution

 $-\left(x-5\right)=8-\left(x+6\right)$  

Fill in the Blank

A passenger plane made a trip to the maintenance facility and back. The trip there took 11 hours and the trip back took 12 hours. It averaged 30 km/h faster on the trip there than on the return trip. Find

the passenger plane's average speed on the outbound trip. Just write the number.

Fill in the Blank

The quotient of a number and 6 minus   $\frac{1}{3}$  is equal to the quotient of a number and 8. What is the number?

Fill in the Blank

Two functions are shown below.

 $f\left(x\right)=6x+3$  

 $g\left(x\right)=3x-2$  

What is the product of  $f\left(3\right)$   and  $g\left(-4\right)$  ?

Fill in the Blank

One line passes through the points    $\left(-4,10\right)$  and  $\left(2,-11\right)$  . A second line passes through the points   $\left(4,6\right)$  and  $\left(8,8\right)$  . At what point do the two lines intersect?

Fill in the Blank

 $\left(\frac{u^{-2}v^2\times u^{-1}v^{-4}}{\left(2vu^{-4}\right)^{-3}}\right)^{-1}$  

Simplify. Your answer should only contain positive exponents. Use ^ for exponents. Write answers in alphabetical order.

Fill in the Blank

Find the measure of angle A.

Fill in the Blank

Kali and Rob each improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Kali spent $40 on 4 daylilies and 4 bunches of ornamental grass. Rob spent $45 on 6 daylilies and 3 bunches of ornamental grass. Find the cost of one daylily and the cost of one bunch of ornamental grass.

(daylily, ornamental grass)