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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
