Applied Algebra 2021 Final

Evaluate:
$\frac{6+\left(12-4\right)^2}{2}$

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Expressions

Order of Operations

Simplify the following expression:

-8 (5b + 2) -7 (b - 5) +b

• -33b + 19

• -47b² + 21

• 33b - 19

• -47b -19

• -46b +19

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Expressions

Distributing and Combining Like Terms

Simplify.

2x^-5y⁷⋅3x^-4y^-2

• 6x⁹y⁹

• 6y⁵/x⁹

• 6/x⁹y⁵

• 6/x⁹y⁹

• 5x^-9y⁵

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Expressions

Properties of Exponents

Solve:

-2x-7+3x=10

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One Variable Equations

Find the value of x:

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One Variable Equations

The volume formula for a pyramid is given by the equation above. Which equation solves this formula for h?

• h=1/3V(b)

• h=3V(b)

• 
• 
• 

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Expressions

Solve for a Specific Variable

Nathan invested his $6000 poker winnings in a 5 year Certificate of Deposit at a rate of 0.04. Use the formula I = Prt to find the amount of interest Nathan's investment will earn.

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One Variable Equations

Creating an Equation

The local clothing store marks up the price that it pays to the clothing manufacturer by 28%. If the selling price of a pair of jeans is $130, how much did the clothing store pay for the jeans?

• $93.60

• $34.21

• $166.40

• $101.56

• $95.23

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One Variable Equations

Creating an Equation

Robert made a graph to represent how far he traveled on a train.

Determine the average rate of the train, in miles per hour, for the 3 hours Robert was traveling.

• 180 mph

• 120 mph

• 60 mph

• 40 mph

• The graph is not linear so you cannot find the average rate of change.

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Linear Functions

You planted flowers for the spring that grow 3 inches per week. After 3 weeks the flowers are 13 inches tall. Write a linear model to fit then situation, then find the plants starting height.

Write a function to model the flower and solve for the original height (b)

• f(x) = 3x + b & f(3)=13

  b= 4 inches

• f(x) = 3x + 13 & f(x)=3

  b= 13 inches

• f(x) = 13h + b & f(3)=13

  b= 13 inches

• f(x) - 3w + 13= 4

  b=13 inches

• f(x) = 13h + b & f(13)=3

  b= 13 inches

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Linear Functions