Download (2y + 6) – (8y – 3) !! x −5 +12 =17

Algebra
Semester 1 Final Exam
Review A
Outcome 1: Order of Operations
Outcome 2POWER: Like Terms
1.
Simplify.
14÷2(4–2)+5
Simplify.
5.
2. Simplify.
42•2[7–(32–5)]
6.
3.
5𝑥 − (𝑥 + 6)
Evaluategiventhatx=-6,y=4,andz=5. y–x+z
Outcome 3POWER
: Multiple Representation of Data
4. Drawthefourthfigureinthepattern. Then
completethetableandgraphtoshowhowthe
perimetervarieswiththefigurenumber. Then,usethetabletocreateanequation.
2𝑥 + 3(𝑥 * − 4𝑥)
7.
(2y+6)–(8y–3)
Outcome 4POWER: Solving Equations
Solve.
8.
x
+ 12 = 17
!!−5
9. 3x–12=21
€
10. 3(x–2)+15x=2(13+x)
Figure1
Figure2
Figure3
Figure4
f=figurenumber
f
1
2
3
4
5
6
7
8
t
11. 3x+90+2x=360
Perimeter
Lett=perimeter
12. 20–(3–5x)=22
FigureNumber
Equation:t=_______________________
Algebra
Semester 1 Final Exam
Review A
Outcome 8: Solving Compound Inequalities
Outcome 5POWER: Write Equations
8.
Onecellphoneplancosts$39.95per
month.Thefirst500minutesofusageisfree.Each
15.
-12<3x–3≤15
minutethereaftercosts$0.35. Forabillof$69.70,
howmanyminutesover500wasthecellphone
used?
16.
x–7≥-8or2x+3<-5
Variable:________________________ Equation:___________________________________
Minutesover:_______________________
9. Matthas$32.00tospendforgoldfishanda
fishtank.Ifafishtankcosts$20.00and
goldfishcost$1.50each,whatisthelargest
numberofgoldfishMattcanpurchasewith
his$32.00?
17. x+5<10and3x≥21
Outcome 9: Write inequality
Writethefollowinginequalityforthegraph
Outcome 6: Solving Equations w/ multivariables
13. Solve 𝑉 = 𝑙𝑤ℎ for 𝑤
18.
19. 0
14. Solve3x+2y=-18
Outcome 7POWER: Simple Inequalities
Solveandgraph.
13.
-3v+3≤-12
14.
3 4 5
2x − 6 < 4(x + 3) 1
2
Algebra
Semester 1 Final Exam
Review A
Outcome 10: Determine Function and find
domain and range
Outcome 12POWER: Slope
20.Circlewhichofthefollowinggraphsofyarenot
functionsofx?
I.
II.
IV
III.
.
3
3
2
2
1
-2
2
4
-4
-2
2
-1
-1
-2
-2
-3
-3
-4
-4
4
4
2
2
5
4
-5
5
-2
-2
-4
-4
Circlethefollowingrelationsthatarenot
functionsandstatethedomainandrange.
24.
I
II
x
1
2
3
4
y
1
2
3
4
x
5
5
5
5
III
25.
y
1
2
3
4
y
2
2
2
2
27.
22.
Morganbabysitsduringthesummerforafamily
downthestreet.Eachweekshewillearn$10
plusanadditional$8perhour.Writeafunction,
𝑓 𝑥 ,forMorgan’stotalearningsifsheworks
𝑥 hoursinaweek.
V. X
Y
-4
8
0
12
16
3
-1
2
28.
Giventhefollowingfunction:
𝑓 𝑥 = 3𝑥 * − 𝑥
Find:
f(-3)
Makeaninput/outputtableoforderedpairs
andthengraphthefunction. Outcome 11 POWER: Function Notation
Whatistheslopeofthelineinthegraphgiven?
Outcome 13POWER:
Write Function
x
1
2
3
4
Whatistheslopeofahorizontalline?
y
1
2
3
4
IV
x
0
2
4
2
Findtheslopeofthegivenpoints:
3, −2 (3, 7)
26.
−2, 5 (6, 1)
1
-5
21.
Findtheslopeofthegivenpoints:
f(4)
Earnings(in$)
-4
23.
Algebra
Semester 1 Final Exam
Review A
Outcome 15POWER: Write an equation
29.
Whatistheslopeofthelinethatyougraphed?
34.
Writetheequationofthelinethatpasses
throughthepoint(-6,2)andhasaslopeof-5
30.
Howdoestheslopeofthislinerelateto
Morgan’sjob?
31.
HowmuchwillMorganearnifsheworks15
hoursinoneweek?(Showwork!)
Writethelinearequationthatpassesthrough
thepoints(-4,-6)and(0,0)?
32.
35.
HowmanyhourswillMorganneedtoworkto
makeatleast$100? Outcome 14POWER: Graph a line
33.Graph
𝑦 = 3
Outcome 16: Slope intercept form
36.Writethefollowinginslopeinterceptform
2x–3y=15
37. Writethefollowinginstandardform
y=½x–4 Outcome 17: Write an equation given graph
38.
Writetheequationforthefollowinggraph:
Algebra
Semester 1 Final Exam
Review A
Outcome 18: Graph X and Y intercept
Outcome 21POWER: Systems of Equations
39.
Findthexandyinterceptandgraph:
2x–3y=12
7x–y=14
xint:_____yint:______
xint____yint:_____
Outcome 19: Graph inequality
40. Graph 𝑦 ≤ −2𝑥 + 1
42.
Solvethesystem
−7𝑥 − 2𝑦 = −13
𝑥 = 2𝑦 + 11
Solvethesystem
43.
3𝑥 − 2𝑦 = 20
4𝑥 + 5𝑦 = −4
Outcome 22: Graph system
44.
Solvethesystembygraphing.
1
𝑦 =− 𝑥 + 2
2
Outcome 20: Write Inequality
41. Yougoshoppingandyouonlyhave$20. You
wanttobuytshirtsthatare$10andapairof
shortsthatis$15. Writeaninequality
explaininghowmanytshirtsandshortsyoucan
buy.
𝑦 = −3𝑥 − 3
Algebra
Semester 1 Final Exam
Outcome 23 POWER: Write equation
45.
Youhaveatotalof$9000toinvest. Youcan
splititbetweentwofunds–onepaying8%,the
otherpaying12%. Youwouldliketoearn
$900ininterest. Howmuchshouldbe
investedateachrate?
Outcome 25: Systems of Inequalities
46.
Graphthefollowingsystemsofinequalities.
𝑦 ≤ −2𝑥 + 1
*
𝑦 > 𝑥+1
:
47.
𝑥 ≤ 2
𝑦 > −𝑥 + 2
Review A