CLT MATH PRACTICE QUESTIONS AND
CORRECT ANSWERS
IfA2"cube"A2isA2definedA2x"cubed"y=A22xA2-A23yA2whatA2isA2theA2equivalentA2toA2(-
2)"cubed"2A2?
A)A2−12
B)A2−10
C)A2−2
D)A22A2-A2Ans--B
2(-2)A2-A23(2)=A2-4A2-A26=A2-10
16A2roundA2tablesA2setA2upA2forA2126A2guests.A21A2tableA2isA2leftA2withA22A2openA2spaces.A
2HowA2manyA2chairsA2areA2atA2eachA2table?
A)A27A2chairs
B)A28A2chairs
C)A29A2chairs
D)A210A2chairsA2-A2Ans--B
126A2+A22=A2128A2chairsA2total.
128/16=A28A2chairsA2atA2eachA2table.
27A2summerA2interships,A242A2partA2timeA2jobs.A23A2summerA2intershipsA2haveA2filledA2allA
2theirA2positions.A2WhatA2isA2theA2ratioA2ofA2companiesA2offereingA2summerA2internshipsA2
toA2companiesA2offeringA2partA2timeA2jobs?
A)A23A2:A25
B)A24A2:A27
C)A25A2:A27
D)A29A2:A214A2-A2Ans--B
27A2-A23=A224A2summerA2internships.
24:42A2
24/6=A24
42/6=A27
4:7A2isA2theA2ratio.
1,A21/4,A2?,A21/16,A21/25,A21/36...
WhatA2isA2theA2thirdA2term?
A)A21/9
B)A21/10
C)A21/12
D)A21/14A2-A2Ans--A
They'reA2allA2consecutiveA2perfectA2squares.
2(2)=4A2
3(3)=9
4(4)=16
5(5)=25
, 6(6)=36...
1/9A2isA2theA2thirdA2term.
LineA2x=3A2isA2reflectedA2overA2y-axis.A2WhatA2isA2theA2resultingA2line?
A)A2x=−3
B)A2x=3
C)A2x=1/3
D)A2y=3A2-A2Ans--A
ReflectionA2acrossA2theA2y-axisA2resultsA2inA2x=-3
BothA2circlesA2haveA2aA2centerA2atA2A,A2andA2pointA2BA2isA2theA2intersectionA2ofA2AC.A2ABA
2isA24A2unitsA2andA2BCA2isA22A2units.A2WhatA2isA2theA2differenceA2inA2circumferenceA2betwe
enA2theA2longerA2circleA2andA2smallerA2circle?
A)A22πA2units
B)A24πA2units
C)A28πA2units
D)A212πA2unitsA2-A2Ans--B
AB=A24A2(theA2radius)
AC=A2ABA2+A2BC
6=A24A2+A22
CalculateA2theirA2circumferencesA2(checkA2mathA2equationsA2forA2reference)
C=A22pieR
AC=A22pie(6)
AC=A212pie
BC=A22pieA2(4)
BC=A28pie
12pieA2-A28pie=A24pie.
WhichA2valueA2doesA2NOTA2yieldA2aA2trueA2statementA2inA2theA2inequa|lityA2below?
A2|A2xA2-A25A2|A2>A20
A)A2x=−5
B)A2x=0
C)A2x=5
D)A2x=6A2-A2Ans--C
PlugA2inA2theA2multipleA2choicesA2given.A2BracketsA2areA2alwaysA2positive.
x=A25
|A25A2-A25A2|A2>A20
|A20A2|A2>A20
WrongA2example:
x=0
|A20A2-A25A2|A2>A20
|A25A2|A2>A20
IfA2AA2andA2BA2areA2positiveA2integersA2andA2AA2isA2aA2factorA2ofA2B,A2whichA2ofA2theA2follo
wingA2MUSTA2beA2false?
A)A2aA2isA2greaterA2thanA2b.
CORRECT ANSWERS
IfA2"cube"A2isA2definedA2x"cubed"y=A22xA2-A23yA2whatA2isA2theA2equivalentA2toA2(-
2)"cubed"2A2?
A)A2−12
B)A2−10
C)A2−2
D)A22A2-A2Ans--B
2(-2)A2-A23(2)=A2-4A2-A26=A2-10
16A2roundA2tablesA2setA2upA2forA2126A2guests.A21A2tableA2isA2leftA2withA22A2openA2spaces.A
2HowA2manyA2chairsA2areA2atA2eachA2table?
A)A27A2chairs
B)A28A2chairs
C)A29A2chairs
D)A210A2chairsA2-A2Ans--B
126A2+A22=A2128A2chairsA2total.
128/16=A28A2chairsA2atA2eachA2table.
27A2summerA2interships,A242A2partA2timeA2jobs.A23A2summerA2intershipsA2haveA2filledA2allA
2theirA2positions.A2WhatA2isA2theA2ratioA2ofA2companiesA2offereingA2summerA2internshipsA2
toA2companiesA2offeringA2partA2timeA2jobs?
A)A23A2:A25
B)A24A2:A27
C)A25A2:A27
D)A29A2:A214A2-A2Ans--B
27A2-A23=A224A2summerA2internships.
24:42A2
24/6=A24
42/6=A27
4:7A2isA2theA2ratio.
1,A21/4,A2?,A21/16,A21/25,A21/36...
WhatA2isA2theA2thirdA2term?
A)A21/9
B)A21/10
C)A21/12
D)A21/14A2-A2Ans--A
They'reA2allA2consecutiveA2perfectA2squares.
2(2)=4A2
3(3)=9
4(4)=16
5(5)=25
, 6(6)=36...
1/9A2isA2theA2thirdA2term.
LineA2x=3A2isA2reflectedA2overA2y-axis.A2WhatA2isA2theA2resultingA2line?
A)A2x=−3
B)A2x=3
C)A2x=1/3
D)A2y=3A2-A2Ans--A
ReflectionA2acrossA2theA2y-axisA2resultsA2inA2x=-3
BothA2circlesA2haveA2aA2centerA2atA2A,A2andA2pointA2BA2isA2theA2intersectionA2ofA2AC.A2ABA
2isA24A2unitsA2andA2BCA2isA22A2units.A2WhatA2isA2theA2differenceA2inA2circumferenceA2betwe
enA2theA2longerA2circleA2andA2smallerA2circle?
A)A22πA2units
B)A24πA2units
C)A28πA2units
D)A212πA2unitsA2-A2Ans--B
AB=A24A2(theA2radius)
AC=A2ABA2+A2BC
6=A24A2+A22
CalculateA2theirA2circumferencesA2(checkA2mathA2equationsA2forA2reference)
C=A22pieR
AC=A22pie(6)
AC=A212pie
BC=A22pieA2(4)
BC=A28pie
12pieA2-A28pie=A24pie.
WhichA2valueA2doesA2NOTA2yieldA2aA2trueA2statementA2inA2theA2inequa|lityA2below?
A2|A2xA2-A25A2|A2>A20
A)A2x=−5
B)A2x=0
C)A2x=5
D)A2x=6A2-A2Ans--C
PlugA2inA2theA2multipleA2choicesA2given.A2BracketsA2areA2alwaysA2positive.
x=A25
|A25A2-A25A2|A2>A20
|A20A2|A2>A20
WrongA2example:
x=0
|A20A2-A25A2|A2>A20
|A25A2|A2>A20
IfA2AA2andA2BA2areA2positiveA2integersA2andA2AA2isA2aA2factorA2ofA2B,A2whichA2ofA2theA2follo
wingA2MUSTA2beA2false?
A)A2aA2isA2greaterA2thanA2b.