# Introductory Algebra Final – Must Show All Work

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ID: 30Math 009 6980 Final Exam Spring 2016 ©M Z2Z0Q1g6D DKPuQt\aS bSNoMfytkw^axrwe] xLMLyCk.J u MAililV nrmizgyhDtSs[ ArzeUs`edrOvge[dg.

-1-

Follow order of operations to simplify the following expression:

1) 24

1 – (-7) – (-2)

Evaluate the expression using the values given for the variables.

2) -4 + y – x2y; use x = -2, and y = 8

Simplify the expression.

3) -8(-4k – 8) – 10(1 + 7k)

Simplify the expression and write your answer as a fraction in lowest terms.

4) (-2) + (- 57 ) – ( – 32 )

Use a proportion to set up and solve the following problem. Round your answer to the nearest tenth if necessary.

5) An adult giraffe that is 16.7 ft tall casts a shadow that is 28.4 ft long. Find the length of the shadow that a 11.5 ft statue casts.

Set up and solve an equation to answer the question below. Round your answer to the nearest tenth of a percent if necessary.

6) 35.4 is what percent of 67?

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-2-

Find the percentage change. Round to the nearest tenth of a percent if necessary and state whether the change is an increase or a decrease.

7) From 27 inches to 19 inches

Find the final price of the item below, given that the tax will be applied to the discounted price.

8) Original price of a bicycle: \$599.50 Discount: 40% Tax: 3%

Use simple interest to find the ending balance, given the following values for principal, rate, and time.

9) \$18,000 at 2% for 6 years

Solve the equation given in #10.

10) 4 + 2n = 10

Sove the equation given in #11.

11) 36 = 2(6x – 1) – 2(1 + 2x)

Solve the equation given in #12.

12) 37

24 =

1

4 n +

8

5 n

Solve the equation given in #13.

13) 2.5v + 2v = 4.7v – 0.5

Solve the inequality in #14, write its solution set in interval notation, and graph the solution set on a number line.

14) 4a – 3 > -59

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-3-

Solve the inequality in #15, write its solution set in interval notation, and graph the solution set on a number line.

15) 3(-5n + 4) ³ n + 5(6 – 2n)

Find the slope of the line. Assume that the scale on each axis is 1 unit per tick mark.

16)

x

y

Find the x- and y-intercepts of the line represented by the equation below. Plot both intercepts on a coordinate system and draw the line through them.

17) 5x – 4y = -20

Write the slope-intercept form of the equation of the line through the given points.

18) through: (2, 3) and (-2, 5)

Find at least three ordered pairs that satisfy the equation and sketch the graph of the line through them.

19) 8 – 2y = -7x

Solve the system of equations by the method of substitution.

20) 2x + 4y = 6 y = -2x

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-4-

Write the point-slope form of the equation of the line described.

21) through: (2, -2), parallel to y = – 7 2 x + 3

Write the slope-intercept form of the equation of the line described.

22) through: (5, -3), perpendicular to y = 5 8 x – 4

Solve the system by graphing both lines on one coordinate system.

23) x – 2y = -4 2x + y = -3

Solve the system of equations by the method of elimination.

24) 3x – 6y = -27 9x + 4y = 29

25) Darryl and Amy are selling pies for a school fundraiser. Customers can buy blueberry pies and lemon meringue pies. Darryl sold 6 blueberry pies and 5 lemon meringue pies for a total of \$111. Amy sold 3 blueberry pies and 12 lemon meringue pies for a total of \$198. What is the cost each of one blueberry pie and one lemon meringue pie?

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