Post on 26-Jan-2022
CollegePrep Unit2:EquationsandInequalities
Ms.Talhami 1
CollegePrepUnit2:EquationsandInequalities
Name_________________
CollegePrep Unit2:EquationsandInequalities
Ms.Talhami 2
HelpfulVocabularyWord Definition/Explanation Examples/HelpfulTips
CollegePrep Unit2:EquationsandInequalities
Ms.Talhami 3
LiteralEquationsVocabulary Definition Examples
LiteralEquation
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 1
Literal Equations
Name___________________________________
Date________________ Period____
Solve each equation for the indicated variable.
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3) z� �m���x , for x 4) g� �ca , for a
5) u� �x���k , for x 6) g� �c���x , for x
7) u� �ka
, for a8) g� �xc , for x
9) ��am� �� , for a 10) ��x����c� ��� , for x
11) am� �n���p , for a12) u� �
akb
, for a
13) a���c� �d ���r , for a 14) xm� �np , for x
CollegePrep Unit2:EquationsandInequalities
Ms.Talhami 4
SolvingInequalitiesVocabulary Definition Examples
Inequality
TheFourInequalitySymbols
< ≤ > ≥
Whathappenswhenyoumultiplyordividebyanegative?a)15 > 5 b)−4 < −1 c)8 < 10 d)−9 > −12
Name :Teacher : Date :
Score :
Math-Aids.Com
Write the Correct Comparison Symbol ( >, < or = ) in Each Box
1 ) -95 -89
2 ) 225 222
3 ) 18 47
4 ) -70 -23
5 ) -15 -77
6 ) -984 -860
7 ) 578 324
8 ) 92 40
9 ) -57 -68
10 ) -881 -555
11 ) 63 35
12 ) 863 730
13 ) -286 -598
14 ) 720 261
15 ) 483 957
16 ) 341 657
17 ) -15 -96
18 ) 74 10
19 ) -47 -49
20 ) -490 -612
CollegePrep Unit2:EquationsandInequalities
Ms.Talhami 5
GraphInequalitiesonaNumberLine
<
>
≤
≥
Name :Teacher : Date :
Score :
Math-Aids.Com
Graphing InequalitiesGraphing Inequalities1 ) m< >|
0|1
|2
|3
|4
|5
|6
|7
|8
|9
|10
|11
|12
|13
|14
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-3| |
-2| |
-1| |
0| |
1| |
2| |
3|< o
3 ) s< >|
-7|
-6|
-5|
-4|
-3|
-2|
-1|0
|1
|2
|3
|4
|5
|6
|7
< o4 ) w< >|
0|1
|2
|3
|4
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|6
|7
|8
|9
|10
|11
|12
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|14
< o5 ) n< >| |
-3| |
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-1| |
0| |
1| |
2| |
3| >o
6 ) w 5< >|
0|1
|2
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|4
|5
|6
|7
|8
|9
|10
|11
|12
|13
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7 ) - b 5< >|
-7|
-6|
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-2|
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|2
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|5
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8 ) f 12< >|
0|1
|2
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|5
|6
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|8
|9
|10
|11
|12
|13
|14
9 ) 0.5 - f< >| |
-3| |
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0| |
1| |
2| |
3|
10 ) m< >|
0|1
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|4
|5
|6
|7
|8
|9
|10
|11
|12
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< o
11 ) - h 5< >|
-7|
-6|
-5|
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-2|
-1|0
|1
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|3
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|6
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12 ) m< >| |
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< o16 ) f< >|
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>o17 ) 3 g< >| |
-3| |
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-1| |
0| |
1| |
2| |
3|
18 ) 8 d< >|
0|1
|2
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|4
|5
|6
|7
|8
|9
|10
|11
|12
|13
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19 ) - m -1< >|
-7|
-6|
-5|
-4|
-3|
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-1|0
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|6
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20 ) - n 1< >|
-7|
-6|
-5|
-4|
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CollegePrep Unit2:EquationsandInequalities
Ms.Talhami 6
©L B2Q0A1Y1c lKnu0tTav 6SVohfEtvwvabrreO HLbL9CT.o G tALlMl1 hr1ifg1hFtLsv XrCeAsOe7rjvieZdK.V D 1M6a7dDej 1wti1tQhQ vInntfyiDn5iqt5e6 CAEl5gPejburXad 82Y.Q Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________Solving Inequalities
Solve each inequality and graph its solution.
1) 0 >
3
x
− 3 − 6
−2 −1 0 1 2 3 4 5 6 7 8
2)
4
x
+ 1 − 1 ≥ −8
−5 −4 −3 −2 −1 0 1
3) −1 ≤
2
n
+ 4 − 5
−2 −1 0 1 2 3 4
4) −6 >
5
n
+ 5 + 4
−7 −6 −5 −4 −3 −2 −1 0 1 2
5) 0 ≤
2
n
+ 3
n
−5 −4 −3 −2 −1 0 1 2
6)
2
p
− 4
p
≤ −2
−4 −3 −2 −1 0 1 2 3 4 5
7) 7 <
−(
−
k
− 3) + 2
−3 −2 −1 0 1 2 3 4
8)
3 −
2(
n
− 4) > −1
3 4 5 6 7 8
9)
−5(
1 − 4
a
) > −5
−4 −3 −2 −1 0 1 2 3 4
10)
−2(
b
+ 1) + 4 < 10
−8 −7 −6 −5 −4 −3 −2 −1 0 1
-1-
CollegePrep Unit2:EquationsandInequalities
Ms.Talhami 7
True,False,orOpenSentenceTypeofSentence Examples
TrueSentence
FalseSentence
OpenSentence
Classifyeachsentenceastrue,false,oropen.
a.9 − 1 < 8 b.5 > 2 + 3 c.12 < 4 − 𝑥d.40 ≥ (10)(4) e.𝑥 + 2 = 7 f.– 1 − 12 = 11g.14 + 6 = 20 h.𝑥 + 23 < 10 i.24 + 3𝑥 = (8 + 𝑥)7Conjunctionvs.Disjunction
Vocabulary Definition Examples
Conjunction
Symbol:∧
Disjunction
Symbol:∨
Statewhethereachsentenceistrue,false,oropen.
a.3 + 2 = 5𝑎𝑛𝑑5 − 7 = −2 b.– 5 − 10 > 0𝑜𝑟4 − 8 = 12c.17 − 𝑥 = 23𝑜𝑟1 + 2 = 3 d.9 − −4 < 9 − 4𝑎𝑛𝑑 − 3 > 0e.Marsisaplanet𝑎𝑛𝑑3 + 4 = 8 f.0 < −5𝑜𝑟0 > −(2 − 3)
CollegePrep Unit2:EquationsandInequalities
Ms.Talhami 8
GraphingBasicCompoundInequalities
Name : Score :
Printable Math Worksheets @ www.mathworksheets4kids.com
Graph the compound inequalities.
−4 < x ≤ 43)
-1 0 1 2 3 4-2-3-4-5-6 5 6
5)
-2 0 2 4 6 8-4-6-8-10-12 10 12
7)
-1 0 1 2 3 4-2-3-4-5-6 5 6
9)
0 5 10 15 2520-10-15 -5-20-25-30 30
x ≤ 0 or x > 21)
-1 0 1 2 3 4-2-3-4-5-6 5 6
x > −1 and x < 32)
-1 0 1 2 3 4-2-3-4-5-6 5 6
4)
-1 0 1 2 3 4-2-3-4-5-6 5 6
6)
-3 0 3 6 9 12-6-9-12-15-18 15 18
8)
10)
-1 0 1 2 3 4-2-3-4-5-6 5 6
x ≥ 5 or x ≤ −6
10 > x > −8 x < 9 and x ≥ 3
x ≤ −2 and x ≥ −5 x ≥ 12 or x < −16
-4 0 4 8 12 16-8-12-16-20-24 20 24
x > 10 and x < 20 −3 ≤ x < 1
Graphing Compound Inequalities
CollegePrep Unit2:EquationsandInequalities
Ms.Talhami 9
SolvingCompoundInequalities
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Kuta Software - Infinite Algebra 1 Name___________________________________
Period____Date________________Compound InequalitiesSolve each compound inequality and graph its solution.
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CollegePrep Unit2:EquationsandInequalities
Ms.Talhami 10
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Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________Compound InequalitiesSolve each compound inequality and graph its solution.
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CollegePrep Unit2:EquationsandInequalities
Ms.Talhami 11
AbsoluteValueReviewVocabulary Definition Examples
AbsoluteValue
Solveforx
a. 𝑥 = 5 b.− 𝑥 = −12 c. 𝑥 = 30SolvingBasicAbsoluteValueEquationsSolveandcheck.Ifanequationhasnosolution,stateso.
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Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________Solving Absolute Value Equations
Solve each equation.
1)
3
x = 9 2)
−3
r = 9
3)
b
5 = 1
4)
−6
m = 30
5)
n
3 = 2
6)
−4 + 5
x = 16
7)
−2
r − 1 = 11 8)
1 − 5
a = 29
9)
−2
n + 6 = 6 10)
v + 8 − 5 = 2
-1-
CollegePrep Unit2:EquationsandInequalities
Ms.Talhami 12
MoreSolvingBasicAbsoluteValueEquationsSolveandcheck.Ifanequationhasnosolution,stateso.
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Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________Solving Absolute Value Equations
Solve each equation.
1)
3
x = 9 2)
−3
r = 9
3)
b
5 = 1
4)
−6
m = 30
5)
n
3 = 2
6)
−4 + 5
x = 16
7)
−2
r − 1 = 11 8)
1 − 5
a = 29
9)
−2
n + 6 = 6 10)
v + 8 − 5 = 2
-1-
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Kuta Software - Infinite Algebra 1 Name___________________________________
Period____Date________________Absolute Value Equations
Solve each equation.
1)
6
m = 42 2)
−6
x = 30
3)
k − 10 = 34)
x
7 = 3
5)
7 +
p = 7 6)
−3
p = 15
7)
7
n = 568)
m
5 = 3
9)
−3
p = −12 10)
m + 2 = 11
11)
n + 1 = 212)
x
7 = 5
13)
a − 5
8 = 5
14)
4
n + 8 = 56
15)
7
m + 3 = 7316)
x
7 − 8 = −7
17)
−9 +
v
8 = 3
18)
−10
v + 2 = −70
CollegePrep Unit2:EquationsandInequalities
Ms.Talhami 13
SolvingAbsoluteValueEquationswithVariablesonBothSidesSolveandcheck.Ifanequationhasnosolution,stateso.1) 4𝑥 + 3 = 3 − 𝑥 2) 𝑥 − 2 = 3𝑥 + 1
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Kuta Software - Infinite Algebra 1 Name___________________________________
Period____Date________________Absolute Value Equations
Solve each equation.
1)
6
m = 42 2)
−6
x = 30
3)
k − 10 = 34)
x
7 = 3
5)
7 +
p = 7 6)
−3
p = 15
7)
7
n = 568)
m
5 = 3
9)
−3
p = −12 10)
m + 2 = 11
11)
n + 1 = 212)
x
7 = 5
13)
a − 5
8 = 5
14)
4
n + 8 = 56
15)
7
m + 3 = 7316)
x
7 − 8 = −7
17)
−9 +
v
8 = 3
18)
−10
v + 2 = −70
CollegePrep Unit2:EquationsandInequalities
Ms.Talhami 14
SolvingBasicAbsoluteValueInequalitiesSolvethefollowinginequalitiesandgraphthesolutionset.a. 𝑥 < 5 b. 𝑚 > 8c. 𝑦 ≤ 3 d. 𝑎 ≥ 7SolvingAbsoluteValueInequalities
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Kuta Software - Infinite Algebra 1 Name___________________________________
Period____Date________________Absolute Value InequalitiesSolve each inequality and graph its solution.
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CollegePrep Unit2:EquationsandInequalities
Ms.Talhami 15
MoreSolvingAbsoluteValueInequalities
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Kuta Software - Infinite Algebra 1 Name___________________________________
Period____Date________________Absolute Value InequalitiesSolve each inequality and graph its solution.
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Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________Absolute Value InequalitiesSolve each inequality and graph its solution.
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CollegePrep Unit2:EquationsandInequalities
Ms.Talhami 16
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Kuta Software - Infinite Algebra 2 Name___________________________________
Period____Date________________Absolute Value InequalitiesSolve each inequality and graph its solution.
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