pleas help

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Math 009 7625 Final Exam, Spring 2016 ID: 8 ©J m2i0a1w6_ uKruttvat ESeomfVtzwNaIrceu gLOLfCS.Q i oAPldle wrXibgChgtbsa cr_etseeRravJeydM.

-1-

Follow order of operations to simplify the following expression:

1) 26 - 10

(-2)2 - 7

Evaluate the expression using the values given for the variables.

2) q(q2 + p) - q; use p = 8, and q = -4

Simplify the expression.

3) -2(-10 - x) - 3(8x - 7)

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

4) 3

2 +

3

4 + (- 95 )

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

5) A 7.5 ft tall cardboard box standing next to a flagpole casts a 28.5 ft shadow. If the flagpole is 15.2 ft tall, then how long is its shadow?

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-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) What percent of 46 is 5?

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 38 grams to 61 grams

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

8) Original price of a purse: $49.99 Discount: 40% Tax: 6%

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

9) $55,000 at 14.2% for 5 years

Solve the equation given in #10.

10) 5n + 2 = -38

Sove the equation given in #11.

11) 6(1 - 7m) - (3 - 7m) = -67

Solve the equation given in #12.

12) 25

36 = -

15

4 n +

5

3 n

Solve the equation given in #13.

13) -4.3n + 0.8 = 7.6 - 0.3n

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-3-

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

14) -1 + 2x £ 37

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

15) -2(3 + 3r) - 3 ³ -3(r + 1)

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 = -12

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

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

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

19) 6y = 12 + 10x

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-4-

Solve the system of equations by the method of substitution.

20) y = -2x -7x - 8y = -18

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

21) through: (-3, -1), parallel to y = - 4 3 x + 1

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

22) through: (-2, 3), perpendicular to y = 2 7 x + 5

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

23) x - y = -4 4x + y = -1

Solve the system of equations by the method of elimination.

24) 10x - 8y = 4 9x - 16y = 30

25) Julio and Lisa are selling pies for a school fundraiser. Customers can buy cherry pies and lemon meringue pies. Julio sold 5 cherry pies and 7 lemon meringue pies for a total of $179. Lisa sold 3 cherry pies and 14 lemon meringue pies for a total of $274. What is the cost each of one cherry pie and one lemon meringue pie?