Algebra 1 Final

(3x² + 5x - 8) minus (4x² - x + 6) is:

• 7x² + 6x - 14

• -x² + 4x + 2

• 7x² + 4x - 2

• -x² + 6x - 14

A family compares the costs of renting a truck from two different companies for its 1-day move to another state. The costs are shown in the table. Create a system of equations that can be used to determine the rental cost of each truck for the 1-day move. Be sure to specify what the variables represent. Define your variable.

• Let x be the number of miles. Company A: 29.95 + 0.59x, Company B: 19.95 + 0.79x

• Let y be the number of miles. Company A: 29.95 + 0.59y, Company B: 19.95 + 0.79y

• Let z be the number of miles. Company A: 29.95 + 0.59z, Company B: 19.95 + 0.79z

• Let m be the number of miles. Company A: 29.95 + 0.59m, Company B: 19.95 + 0.79m

Determine the number of miles when the rental costs of the two trucks will be equal.

• 50 miles

• 100 miles

• 75 miles

• 150 miles

Manu is buying bottled water and sports drinks to sell at a concession stand. He has no more than $450 to purchase drinks. He can order up to 300 drinks. Each bottle of water costs $1 and each sports drink costs $2. Which graph represents this situation? Let x represent the number of bottles of water and y represent the number of sports drinks.

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A cable company offers two movie plans. - Plan A costs $120 per month plus $5 per movie. - Plan B costs $150 per month for unlimited movies. How many movies can Neil rent in order for Plan B to be the better buy? Select all that apply.

• 4

• 5

• 7

• 8

Which ordered pair is NOT a solution to the system of linear inequalities? y > 2x + 5 y < -3x + 5

• (-5, -1)

• (0, 2)

• (-4, 1)

• (-3, 0)

Solve the equation. Show or explain your work. 7(x - 2) = 3x + 6

What is the x-intercept for the equation 7x - 3y = -28?

• x = -4

• x = -3

• x = -2

• x = -1

Determine the average rate of change for the problem situation. Be sure to include units.

• 2.5 milliliters per hour

• 5 milliliters per hour

• 7.5 milliliters per hour

• 10 milliliters per hour

Write a function to model the table of values.

• f(x) = 5x

• f(x) = 2.5x

• f(x) = 7.5x

• f(x) = 10x