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Math 009 6390 Final Exam Spring 2018 ID: 11 ©D `2P0i1c8g [Kquut]aR GSkoLfftGwPaXrMe` HLzLMCQ.r k tAvlhlP PrniwgIhctYso IrneasTeEr`vLeCdR.

-1-

Follow order of operations to simplify the following expression:

1) -23 – 7

3 – 6 + 7

Evaluate the expression using the values given for the variables.

2) y 5

+ x2 – x; use x = -4, and y = 5

Simplify the expression.

3) -10(5n – 4) – 9(n + 6)

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

4) (- 87 ) + 1 – 14

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

5) A 5.3 ft tall baby giraffe standing next to a statue casts a 10.1 ft shadow. If the statue is 14.5 ft tall, then how long is its shadow?

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Worksheet by Kuta Software LLC

-2-

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

6) 71 is what percent of 85?

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 57 tons to 67 tons

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

8) Original price of a cell phone: $239.95 Discount: 59% Tax: 2%

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

9) $60,000 at 5.9% for 8 years

Solve the equation given in #10.

10) x 3

– 5 = -2

Solve the equation given in #11.

11) -53 = 3(2 + x) – 5(-8 – 6x)

Solve the equation given in #12.

12) – 4

5 x + 2x = –

3

2

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-3-

Solve the equation given in #13.

13) 12.1 – 0.75p = 1.5p + 3.8p

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

14) m 5

– 7 > -10

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

15) -6(x – 3) ³ 4(-x + 4)

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 + y = 5

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

18) through: (3, -4) and (5, 1)

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-4-

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

19) 1 + y + 5x = 0

Solve the system of equations by the method of substitution.

20) y = -6x 5x + 2y = 14

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

21) through: (1, -5), parallel to y = -3x + 5

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

22) through: (5, 3), perpendicular to y = – 5 7 x – 4

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

23) x – 4y = -16 3x + 2y = -6

Solve the system of equations by the method of elimination.

24) 12x – 2y = -6 4x + 8y = 24

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-5-

25) Jennifer and Jacob are selling cheesecakes for a school fundraiser. Customers can buy pecan cheesecakes and apple cheesecakes. Jennifer sold 4 pecan cheesecakes and 8 apple cheesecakes for a total of $144. Jacob sold 12 pecan cheesecakes and 5 apple cheesecakes for a total of $128. Find the cost each of one pecan cheesecake and one apple cheesecake

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