Lesson PlansQuiz no.1
Week 1
Chapter 1
external image spacer.gifEquations and Inequalities


1.
Find the value of 5 + 22 - 8 + 3.


A.
4


B.
2


C.
-4


D.
-2


Hint


2.
An 18-foot ladder is placed 6 feet from the wall. Approximately how high does the ladder reach?


external image IQ01-002-822887.gif


A.
17.8 ft
B.
17.0 ft


C.
12 ft
D.
19 ft


Hint


3.
Name the property illustrated by the statement below.
If 5n = 15, then 15 = 5n.


A.
transitive property of equality
B.
reflexive property of equality


C.
substitution property of equality
D.
symmetric property of equality


Hint


4.
Solve |t - 16| = 20.


A.
{-4, -36}
B.
{4, -36}


C.
{-4, 36}
D.
{4, 36}


Hint


5.
Write an inequality for the following problem. One fourth of a number increased by 17 is at least 63.


A.
external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmrow%3E%3Cmfrac%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmn%3E4%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmo%20fontsize%3D10%3E%2B%3C%2Fmo%3E%3Cmn%3E17%3C%2Fmn%3E%3Cmo%20fontsize%3D10%3E%26ge%3B%3C%2Fmo%3E%3Cmn%3E63%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E
B.
external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmrow%3E%3Cmfrac%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmn%3E4%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%20fontsize%3D10%3E-%3C%2Fmo%3E%3Cmn%3E17%3C%2Fmn%3E%3Cmo%20fontsize%3D10%3E%26le%3B%3C%2Fmo%3E%3Cmn%3E63%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E


C.
external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmrow%3E%3Cmfrac%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmn%3E4%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%20fontsize%3D10%3E%2B%3C%2Fmo%3E%3Cmn%3E17%3C%2Fmn%3E%3Cmo%20fontsize%3D10%3E%26le%3B%3C%2Fmo%3E%3Cmn%3E63%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E
D.
external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmrow%3E%3Cmfrac%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmn%3E4%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%20fontsize%3D10%3E%2B%3C%2Fmo%3E%3Cmn%3E17%3C%2Fmn%3E%3Cmo%20fontsize%3D10%3E%26ge%3B%3C%2Fmo%3E%3Cmn%3E63%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E


Hint


6.
Solve x = 34.


A.
x = 64
B.
x = 12


C.
x = 81
D.
x = 27


Hint


7.
Find the quotient external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmrow%3E%3Cmfrac%3E%3Cmn%3E7%3C%2Fmn%3E%3Cmrow%3E%3Cmn%3E25%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3Cmo%20fontsize%3D10%3E%26divide%3B%3C%2Fmo%3E%3Cmfrac%3E%3Cmn%3E3%3C%2Fmn%3E%3Cmn%3E5%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmo%3E.%3C%2Fmo%3E%3C%2Fmrow%3E%3C%2Fmath%3E


A.
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B.
external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmrow%3E%3Cmfrac%3E%3Cmrow%3E%3Cmn%3E21%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmn%3E125%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3C%2Fmrow%3E%3C%2Fmath%3E


C.
external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmrow%3E%3Cmn%3E5%3C%2Fmn%3E%3Cmfrac%3E%3Cmrow%3E%3Cmn%3E20%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmn%3E21%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3C%2Fmrow%3E%3C%2Fmath%3E
D.
external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmrow%3E%3Cmfrac%3E%3Cmn%3E7%3C%2Fmn%3E%3Cmrow%3E%3Cmn%3E15%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3C%2Fmrow%3E%3C%2Fmath%3E


Hint


8.
Name the sets of numbers to which external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmrow%3E%3Cmsqrt%3E%3Cmrow%3E%3Cmn%3E64%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsqrt%3E%3C%2Fmrow%3E%3C%2Fmath%3E belongs.


A.
Rationals and Reals
B.
Integers, Rationals, and Reals


C.
Naturals, Wholes, Integers, Rationals, and Reals
D.
Irrationals and Reals


Hint


9.
Simplify the expression 8 (a + 2b) – 7b + 6 (3ab).


A.
152a – 88b
B.
26a + 3b


C.
4a – 6b
D.
26a – 6b


Hint


10.
Solve the equation 3y + 8 = 36.


A.
4
B.
external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmrow%3E%3Cmfrac%3E%3Cmrow%3E%3Cmn%3E28%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmfrac%3E%3C%2Fmrow%3E%3C%2Fmath%3E


C.
20
D.
external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmrow%3E%3Cmfrac%3E%3Cmrow%3E%3Cmn%3E44%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmfrac%3E%3C%2Fmrow%3E%3C%2Fmath%3E


Hint


11.
Solve the equation | 3a + 2 | - 2 = 4a + 1.


A.
-1
B.
external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmi%3E%26empty%3B%3C%2Fmi%3E%3C%2Fmath%3E


C.
external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmrow%3E%3Cmo%20fontsize%3D10%3E-%3C%2Fmo%3E%3Cmfrac%3E%3Cmn%3E5%3C%2Fmn%3E%3Cmn%3E7%3C%2Fmn%3E%3C%2Fmfrac%3E%3C%2Fmrow%3E%3C%2Fmath%3E
D.
external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmrow%3E%3Cmrow%3E%3Cmo%3E%7B%3C%2Fmo%3E%3Cmrow%3E%3Cmo%20fontsize%3D10%3E-%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3Cmo%3E%2C%3C%2Fmo%3E%3Cmo%20fontsize%3D10%3E-%3C%2Fmo%3E%3Cmfrac%3E%3Cmn%3E5%3C%2Fmn%3E%3Cmn%3E7%3C%2Fmn%3E%3C%2Fmfrac%3E%3C%2Fmrow%3E%3Cmo%3E%7D%3C%2Fmo%3E%3C%2Fmrow%3E%3C%2Fmrow%3E%3C%2Fmath%3E


Hint


12.
Solve x + 7 > 13.


A.
{x | x external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmo%20fontsize%3D10%3E%26le%3B%3C%2Fmo%3E%3C%2Fmath%3E 20}
B.
{x | x > 20}


C.
{x | x < 13}
D.
{x | x > 6}


Hint


13.
Solve the inequality | f | > 4.


A.
{f | -4 < f < 4}


B.
{f | f > -4 or f < 4}


C.
{f | -4 > f > 4}


D.
{f | f < -4 or f > 4}


Hint


14.
Solve the inequality | 5x + 2 | external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmo%20fontsize%3D10%3E%26ge%3B%3C%2Fmo%3E%3C%2Fmath%3E 12.


A.
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B.
external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmrow%3E%3Cmrow%3E%3Cmo%3E%7B%3C%2Fmo%3E%3Cmrow%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E%26verbar%3B%3C%2Fmo%3E%3Cmo%20fontsize%3D10%3E-%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmn%3E14%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmn%3E5%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmo%20fontsize%3D10%3E%26le%3B%3C%2Fmo%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%20fontsize%3D10%3E%26le%3B%3C%2Fmo%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmo%3E%7D%3C%2Fmo%3E%3C%2Fmrow%3E%3C%2Fmrow%3E%3C%2Fmath%3E


C.
external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmrow%3E%3Cmrow%3E%3Cmo%3E%7B%3C%2Fmo%3E%3Cmrow%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E%26verbar%3B%3C%2Fmo%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%20fontsize%3D10%3E%26ge%3B%3C%2Fmo%3E%3Cmo%20fontsize%3D10%3E-%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmn%3E14%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmn%3E5%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmtext%3E%26nbsp%3Bor%26nbsp%3B%3C%2Fmtext%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%20fontsize%3D10%3E%26le%3B%3C%2Fmo%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmo%3E%7D%3C%2Fmo%3E%3C%2Fmrow%3E%3C%2Fmrow%3E%3C%2Fmath%3E
D.
external image mathml4.MathGifPtTest2?mml=%3Cmath%3E%3Cmrow%3E%3Cmrow%3E%3Cmo%3E%7B%3C%2Fmo%3E%3Cmrow%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E%26verbar%3B%3C%2Fmo%3E%3Cmo%20fontsize%3D10%3E-%3C%2Fmo%3E%3Cmfrac%3E%3Cmrow%3E%3Cmn%3E14%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmn%3E5%3C%2Fmn%3E%3C%2Fmfrac%3E%3Cmo%20fontsize%3D10%3E%26ge%3B%3C%2Fmo%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%20fontsize%3D10%3E%26ge%3B%3C%2Fmo%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmo%3E%7D%3C%2Fmo%3E%3C%2Fmrow%3E%3C%2Fmrow%3E%3C%2Fmath%3E


Hint