Math help

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Math 009 4025 Final Exam Fall 2018 ID: 2 ©t \2s0l1n8x qKtuwtGan `SNobfrthwfa[rneV zLDLECH.o a GAslqla XrTiRg^hltase RrOeQsyeXrEvAeidv.

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Follow order of operations to simplify the following expression:

1) (-9) - 30 4 + (-2) - (-3)

Evaluate the expression using the values given for the variables.

2) 10y

2 - x2; use x = -6, and y = -1

Simplify the expression.

3) 6(x - 1) - 9(2 - 4x)

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

4) (-1) + (- 16 ) - (- 34 )

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

5) A woman who is 4.8 ft tall casts a shadow that is 10.6 ft long. Find the length of the shadow that a 11.6 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) What percent of 133 is 64?

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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 80 inches to 51 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 microphone: $159.95 Discount: 55% Tax: 4%

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

9) $44,400 at 10.1% for 5 years

Solve the equation given in #10.

10) -5 + a 4

= -7

Solve the equation given in #11.

11) -3(1 + 8x) - 2(8x - 7) = -69

Solve the equation given in #12.

12) 43

5 =

4

5 p +

7

2 p

Solve the equation given in #13.

13) 1 + 5.3n = 10.8 + 1.8n

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

14) 3 + r 3

> 8

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

15) -4x - 3(2 - 6x) ³ -3(-6x - 2)

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) x + 2y = 4

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

18) through: (-5, -2) and (-3, 1)

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

19) 3y = -3 - x

Solve the system of equations by the method of substitution.

20) 2x + 6y = -10 y = -2x

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

21) through: (3, -2), parallel to y = - 5 3 x + 5

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

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

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

23) x - 3y = 12 5x + 3y = 6

Solve the system of equations by the method of elimination.

24) 7x + 4y = -16 8x + y = -29

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25) Jessica and Matt are selling cheesecakes for a school fundraiser. Customers can buy French silk cheesecakes and strawberry cheesecakes. Jessica sold 1 French silk cheesecake and 10 strawberry cheesecakes for a total of $181. Matt sold 8 French silk cheesecakes and 4 strawberry cheesecakes for a total of $156. What is the cost each of one French silk cheesecake and one strawberry cheesecake?