Download ALG2 CH. 1 TEST REVIEW SHOW WORK ON MOST QUESTIONS

ALG2 CH. 1 TEST REVIEW
SHOW WORK ON MOST QUESTIONS
Multiple Choice
Identify the choice that best completes the statement or answers the question.
To which set of numbers does the number belong?
____
1. –40
a.
b.
c.
d.
____
irrational numbers
integers
whole numbers
natural numbers
2. The formula
relates the speed S in miles per hour a car was traveling to the length d in feet that
the car skidded when brakes were applied. The variable f is the coefficient of friction, which varies depending
on the road surface and the condition of the tires. Which set of numbers contains the value of S for f = 0.5 and
d = 63?
a.
b.
c.
d.
integers
whole numbers
rational numbers
irrational numbers
Graph the number on a number line.
____
3.
a.
c.
–5 –4 –3 –2 –1 0 1 2 3 4 5
b.
–5 –4 –3 –2 –1 0 1 2 3 4 5
d.
–5 –4 –3 –2 –1 0 1 2 3 4 5
–5 –4 –3 –2 –1 0 1 2 3 4 5
Insert <, >, or = to make the sentence true.
____
____
4.
a. >
b. <
c. =
a. >
b. <
c. =
5.
Name the property of real numbers illustrated by the equation.
____
6.
a.
b.
c.
d.
Distributive Property
Commutative Property of Multiplication
Associative Property of Addition
Associative Property of Multiplication
Which algebraic expression models the given word phrase?
____
7. 40 fewer than a number t
____
a.
c.
b.
d.
8. You start with $15 and save $8 each week. What algebraic expression models the total amount you save?
a.
c.
b.
d.
Evaluate the expression for the given value of the variable(s).
____
9.
;
,
a. –55
b. 55
____ 10.
c. 5
d. –5
c. –11
d. 21
;b=2
a. 19
b. 17
Combine like terms. What is a simpler form of each expression?
____ 11.
a.
b.
c.
What is the solution of the following one-step equation?
____ 12.
a.
b.
Solve the equation.
c.
d.
d.
____ 13.
a.
= 12
a.
=
b.
= 2
b.
= 2
c.
= 4
d.
=
1
12
c.
= 2
d.
=
2
5
____ 14.
1
2
1
2
Use an algebraic equation to solve the problem.
____ 15. The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle
is 90 cm?
a. 10.5 cm, 11.5 cm, and 12.5 cm
c. 7.5 cm, 11.5 cm, and 32.1 cm
b. 22.5 cm, 30 cm, and 37.5 cm
d. 19.3 cm, 25.7 cm, and 32.1 cm
Is the following always, sometimes, or never true?
____ 16.
a. always
b. sometimes
c. never
Solve the equation or formula for the indicated variable.
____ 17.
, for t
a.
b.
c.
What inequality represents the sentence?
____ 18. 14 fewer than a number is at least –8
a.
b.
c.
d.
Solve the inequality. Graph the solution set. SHOW WORK
d.
____ 19. 2 + 2k  8
a. k  3
c. k  3
–8 –6 –4 –2
0
2
4
6
–8 –6 –4 –2
8
b. k  5
0
2
4
6
8
0
2
4
6
8
0
2
4
6
8
0
2
4
6
8
d. k  5
–8 –6 –4 –2
0
2
4
6
–8 –6 –4 –2
8
____ 20. 26 + 6b  2(3b + 4)
a. all real numbers
–8 –6 –4 –2
c.
0
2
4
6
b1
1
2
8
–8 –6 –4 –2
b.
b1
d. no solutions
1
2
–8 –6 –4 –2
–8 –6 –4 –2
0
2
4
6
8
Solve the problem by writing an inequality.
____ 21. If the perimeter of a rectangular picture frame must be less than 200 in., and the width is 36 in., what must the
height h of the frame be?
a. h < 64 in.
b. h > 128 in.
c. h > 64 in.
d. h < 128 in.
Is the inequality sometimes, always, or never true?
____ 22.
a. always
b. sometimes
c. never
Solve the compound inequality. Graph the solution.
____ 23. 9x – 5 < –41 or 3x + 13 > 7
a.
1
x < 5 or x > –2
9
–8 –6 –4 –2
b.
0
c.
2
4
6
8
2
3
–8 –6 –4 –2
0
2
4
6
8
0
2
4
6
8
d. x < –4 or x > –2
1
2
x < 5 or x > 6
9
3
–8 –6 –4 –2
x < –4 or x > 6
–8 –6 –4 –2
0
2
4
6
8
Solve the absolute value equation. Graph the solution.
____ 24. What is the sum of the solutions of
a. 1
1
3
b. 2
?
c.
1
2
3
d.
3
4
Solve the inequality. Graph the solution. SHOW WORK
____ 25.
a.
c.
–20 –15 –10 –5
0
5
–20 –15 –10 –5
10 15 20
b.
5
10 15 20
d.
–20 –15 –10 –5
0
5
10 15 20
–40 –30 –20 –10 0
Short Answer
Solve the absolute value equation. Graph the solution.
26.
27.
Solve the inequality. Graph the solution. SHOW WORK
28.
Solve the equation. Check for extraneous solutions.
29.
0
10 20 30 40
ALG2 CH. 1 TEST REVIEW
ON MOST QUESTIONS
Answer Section
SHOW WORK
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
ANS:
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ANS:
ANS:
B
D
B
B
A
C
D
C
A
D
B
C
A
B
B
A
D
B
C
A
A
A
D
C
C
SHORT ANSWER
26. ANS:
no solutions
–5
–4
–3
–2
–1
0
1
2
3
4
5
27. ANS:
x = 2 or x = 1
–4
–2
0
2
4
28. ANS:
5
1
4 < x < 4
6
6
–6
–4
–2
29. ANS:
3
5
x = or x =
2
8
0
2
4
6