Applied Algebra Final 2024

Simplify.

-5n + 2(4 - 5n)

• -15n + 8

• -5n - 2

• -5n + 9

• 5n + 8

• -15n + 9

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Expressions

Distributing and Combining Like Terms

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One Variable Equations

Find the value of x:

$\sqrt{x}=4$

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One Variable Equations

Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the video store. How many movies did she rent? Write the linear equation and solve for the number of movies.

• 15x + 3x = 99 and 6 movies

• 15x + 3 = 99 and 6 movies

• 3x + 15 = 99 and 28 movies

• 3x + 99 = 15 and 28 movies

• 15x+99= 3 and 6 movies

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One Variable Equations

Creating an Equation

A car rental agency advertised renting a luxury, full-size car for$34.95 per day and $0.39 per mile. If you rent this car for 2 days, how many whole miles can you drive if you only have $200 to spend?

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One Variable Equations

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. Which equation represents the total charges for x hours?

• y = 8.5 + 25.5

• y = 25.5 + 8.5x

• y = 8.5 + 25.5x

• y = 32.5 - 8.5x

• y = 8.5-25.5x

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Linear Functions

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Linear Functions

Choose the equation that is graphed in the picture.

• y = 2/3x - 2

• y = 3/2x + 3

• y = -3/2x + 3

• y = -2/3x - 3

• y = 3/2x - 2

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Linear Functions

Which pattern below is best represented by the expression:

f(x) = 7x - 2

• 5, 7, 9, 11, 13

• 5, 12, 19, 26, 33

• 7, 14, 21, 28, 35

• -2, -9, -16, -23, -30

• 7, 9, 11, 13, 15

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Linear Functions

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.

y=3x+10

What does the y-intercept of the graph of this equation represent?

• The monthly fee

• How much Rich pays per visit

• The number of times Rich goes to the gym

• The total cost at the end of the month

• How much it cost Rick the first time he visits the gym each month

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Linear Functions