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Math 009 7984 Final Exam, Fall 2015 ID: 27 ©p M2P0[1p5B ZKauZtpaU yS`ocfFtFwDaxr[ew SLlLWCJ.a V sABltl_ ZrXiMgvhVtRs[ Lreetsge\ryv\eAd].

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Follow order of operations to simplify the following expression:

1) (-2) - 9 + 20 ´ 2 -10

Evaluate the expression using the values given for the variables.

2) x2 + y + xy; use x = -3, and y = 5

Simplify the expression.

3) 10(-10b + 7) - 6(4b - 3)

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

4) (- 75 ) - 32 + 12

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

5) If a 6 ft tall petrified stump casts a 34.2 ft long shadow, then how long is the shadow that a 9.2 ft tall adult elephant 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) 39 is what percent of 108?

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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 $87.40 to $55

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: $179.50 Discount: 30% Tax: 6%

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

9) $58,000 at 9.7% for 8 years

Solve the equation given in #10.

10) -2 + 4x = 34

Sove the equation given in #11.

11) 72 = -3(8x - 1) + 3(5 + 2x)

Solve the equation given in #12.

12) 55

12 = 6x -

7

2 x

Solve the equation given in #13.

13) -6.32 + 0.9v = v - 5.9

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

14) 10p + 4 < 64

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

15) -1 - (3k + 5) > 3(k - 6)

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 drawn the line through them.

17) x - 3y = -3

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

18) through: (-2, -1) and (4, -5)

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

19) -2 = x - 2y

Solve the system of equations by the method of substitution.

20) -4x + 3y = -11 y = 5x

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

21) through: (5, -4), parallel to y = - 6 5 x - 1

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

22) through: (-5, -1), perpendicular to y = 5 4 x + 3

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

23) 3x - y = -4 4x + y = -3

Solve the system of equations by the method of elimination.

24) 16x + 6y = 4 8x - 2y = 12

25) Kathryn and Shayna are selling pies for a school fundraiser. Customers can buy apple pies and pumpkin pies. Kathryn sold 3 apple pies and 13 pumpkin pies for a total of $164. Shayna sold 9 apple pies and 5 pumpkin pies for a total of $118. Find the cost each of one apple pie and one pumpkin pie.