Algebra 2 lesson 1

At a certain golf course, the cost to rent a golf cart for h hours is given by c = 12h + 25. How much would a customer pay to rent a golf cart for 4 hours?

$73

Which table correctly lists the three solutions for the equation 5x + y = 14?

(-1, 19) (0, 14) (1, 9)

Find the slope of the line graphed above.

-6

Sue weighed 82 kg at the start of the year, but she has lost weight at a consistent rate because she has been diligent with her exercise and diet plan. Sue weighed herself at the end of each month and tracked her progress for the full year using the graph above. How much weight did Sue lose each month?

2 kg

Mary is selling chocolate bars to raise money. She earns $3 for each solid milk chocolate bar sold and $4 for each caramel-filled bar sold. If m represents the number of milk chocolate bars sold, and c represents the number of caramel bars sold, which of the following expressions represents the amount of money that Mary has raised?

3m + 4c

Simplify the algebraic expression:x(x + 3) + x(2x - 4) + 6

3x2 - x + 6

Which expression is equivalent to 9x - 3y - 5x + 7y + x + y?

5x + 5y

Which expression is equivalent to 3(x - 6) + 5(x - 4)?

8x - 38

Select the correct graph for the function ƒ(x) = -x - 7.

A

The function ƒ(x) = sqr of x is reflected across the x-axis and vertically stretched by a factor of 2. Select the correct graph for the resulting function.

A. (1,-2) (4,-4) (9,-6)

Select the graph of the piecewise function given by:ƒ(x) = 0 for 0 ≤ x < 4ƒ(x) = 3 for 4 ≤ x < 8ƒ(x) = 6 for 8 ≤ x < 12

B. (closed 0 to open 4, 0) (closed 4 to open 8, 3) (closed 8 to open 12, 6)

In the city of Chicago, the base fare for a taxi is $3.50, while each mile traveled costs $2. Select the graph that correctly displays the relationship between distance traveled and the taxi fare in Chicago.

B. 3.5 y intercept

A theme park charges different admission prices according to children's ages. Its price scale can be described by the function graphed above. Select the only false statement based on the information provided in this graph.

The price of a ticket for an eight-year-old child is $8.

Martina rents a room in her home to guests. She charges a $25 flat fee per night for one person. Additional guests are welcome to stay, but she charges $10 per person. She expects guests to check out by 10 a.m. and charges an extra $5 per hour for late checkouts. Select the linear equation that correctly represents how much Martina collects for one night of stay in her home.

c = 25 + 10p + 5h

Use a table of values to graph the function ƒ(x) = sqr of x. . Choose the correct graph from the options below.

c. (1,1) (4,2) (9,3)

Select the graph that correctly displays the function ƒ(x) = -sqr of x- 4.

c. x axis reflection, negative vertical shift

Write 9x + 3y = 15 in slope-intercept form.

y = -3x + 5

The table shows the miles and total cost of renting a moped. Which function ƒ(x) is represented in the table?

ƒ(x) = 0.5x + 10

The table shows the cost of some apples. Which function ƒ(x) is represented in the table?

ƒ(x) = 2x

The function ƒ(x) = the cube root of x is translated 3 units in the negative y-direction and 8 units in the negative x-direction. Select the correct equation for the resulting function.

ƒ(x) = ƒ(x) = the cube root of (x+8) - 3