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Math 009 Introductory Algebra Name______________________________ Answer Sheet Instructions:
This is an open-book exam. You may refer to your text and other course materials as you work on the exam and
you may use a calculator. Record your answers and show your work on this document. You must show your
work to receive credit: answers given with no work shown will not receive credit. You may type your work
using plain-text formatting or an equation editor, or you may hand-write your work and scan it. If you choose
to scan your work, note that most scanners have a setting that will allow you to create one PDF document from
all of the pages of your Answer Sheet – please make use of this option if it is available on your scanner.
Whether you type your work or write it by hand, show work neatly and correctly, following standard
mathematical conventions. Each step should follow clearly and completely from the previous step. If
necessary, you may attach extra pages. Proble
m
Number Solution
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WORK: 15 ANSWER: WORK: 16 ANSWER: Use the “drag and drop” line and points to graph your line.
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Math 009 6384 Final Exam Summer 2016 ID: 8 ©b U2R0X1l6j EKhuHtYa\ KSEojfztHwSaWree^ UL]LCCI.f Z zAXlqlC wrpi^gRhwtZsM BrsewsXe]rovZeadb. Follow order of operations to simplify the following expression: 1) 29 + 1 - 10
+9
2 Evaluate the expression using the values given for the variables.
2) m - ( p + m - m); use m = -5, and p = 8
2 Simplify the expression.
3) -5(r + 5) + 10(4r - 1) Simplify the expression and write your answer as a fraction in lowest terms. ( ) 4) - 5
2
- +2
3
5 Use a proportion to set up and solve the following problem. Round your answer to the nearest
tenth if necessary.
5) A 10 ft tall adult elephant standing next to
an adult giraffe casts a 60 ft shadow. If
the adult giraffe is 16.6 ft tall, then how
long is its shadow? Set up and solve an equation to answer the question below. Round your answer to the nearest
tenth of a percent if necessary.
6) 111 is what percent of 147.8? Worksheet by Kuta Software LLC -1- ©x U2[0u1z6D XKruNtXaq bSQoHfntIwZaurmew tLGLUC`.I j FAZlClt VrViwgFh`tKsB VrFeasmePrEv]eodO.k r SMKa_dXeE fwGiotsh[ GIenyfPionQiqtLe\ MPLrMeC-wAmlMgOepbMrNaJ. 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 46 hours to 38 hours Find the final price of the item below, given that the tax will be applied to the discounted price.
8) Original price of an MP3 player: $169.50
Discount: 27%
Tax: 1% Use simple interest to find the ending balance, given the following values for principal, rate,
and time.
9) $1,630 at 7.2% for 8 years Solve the equation given in #10.
10) -1 + x
= -6
2 Sove the equation given in #11.
11) 8(v - 4) - 4(2 + 4v) = 8 Solve the equation given in #12.
12) 17
3
19
p- p=
5
2
4 Solve the equation given in #13.
13) 2.7r + 3.4 = 5.4 + 1.9r Solve the inequality in #14, write its solution set in interval notation, and graph the solution set
on a number line.
14) -2 + 2k < -30
Worksheet by Kuta Software LLC -2- ©V [2M0\1y6T tK^uStHah HSuouf`tVwOaQrDeM XLALACx.^ _ kADlwlb Xr]ingrhBtJsN Drne[seejrSvPekdb.l y EMDawdKe_ uwwiCtahH ]IHnzfaisnEiitUeH hPBrFes-MA^lVgEe]bsrgaI. Solve the inequality in #15, write its solution set in interval notation, and graph the solution set
on a number line.
15) -5(5n + 4) < -4(6n + 3) Find the slope of the line. Assume that the scale on each axis is 1 unit per tick mark.
16) y x 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) 2x - 5 y = -10 Write the slope-intercept form of the equation of the line through the given points.
18) through: (-3, 2) and (2, 4) Find at least three ordered pairs that satisfy the equation and sketch the graph of the line
through them.
19) x = 20 - 5 y Solve the system of equations by the method of substitution.
20) y = -2x
-6x - 5 y = -8 Worksheet by Kuta Software LLC -3- ©S W2e0G1a6g RKju`tcaM USvodfotuwcabrleG XL[LXCg.T _ hAllflK jrBi[gHhPtrsl krlensUeLrNvSepds.H V yMsasdveu JwOiatFhT xI\ndfBiqndiHtSeN iPWrFeU-YAwlEg_eebTr^ap. Write the point-slope form of the equation of the line described.
1
21) through: (-4, 2), parallel to y = - x - 2
7 Write the slope-intercept form of the equation of the line described.
4
22) through: (-4, 2), perpendicular to y = x - 3
5 Solve the system by graphing both lines on one coordinate system.
23) 2x - y = 3
4x + y = 3 Solve the system of equations by the method of elimination.
24) 12x + 5 y = 27
-6x - 2 y = -18 25) Jill and Micaela are selling pies for a school fundraiser. Customers can buy apple pies and
pumpkin pies. Jill sold 11 apple pies and 12 pumpkin pies for a total of $279. Micaela sold 5
apple pies and 6 pumpkin pies for a total of $135. Find the cost each of one apple pie and one
pumpkin pie. Worksheet by Kuta Software LLC -4- ©l n2I0X1i6q TKTudtPab ]Sgo_fWtYwpaorxeg \LMLjC[.e ` pASlllI grZiYgOhstusx Arjeqsoe[rxv_evdf.l R XM[aIdbeS NwEistIhA JIon`fHiHnDi^tOek vPYr^e^-MAolmgIeHbLrXaD.