Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Match the story with the correct figure.
1)
The height of an animal as a function of time.
1)
A)
B)
C)
D)
Match the correct viewing rectangle dimensions with the figure.
2)
2)
A)
[–20, 10, 2] by [–20, 10, 2]
B)
[–10, 10, 4] by [–10, 10, 4]
C)
[–10, 10, 2] by [–10, 10, 2]
D)
[–2, 2, 2] by [–2, 2, 2]
C
Solve the problem.
3)
Mark started out by walking up a hill for 5 minutes. For the next 5 minutes he walked down a steep
hill to an elevation lower than his starting point. For the next 10 minutes he walked on level
ground. For the next 10 minutes he walked uphill. Determine which graph of elevation above sea
level versus time illustrates the story.
3)
A)
B)
C)
D)
Match the correct viewing rectangle dimensions with the figure.
4)
4)
A)
[–40, 40, 10] by [–10, 10, 5]
B)
[–50, 50, 5] by [–50, 50, 5]
C)
[–10, 10, 5] by [–200, 200, 20]
D)
[–10, 10, 5] by [–10, 10, 5]
Match the story with the correct figure.
5)
The amount of rainfall as a function of time, if the rain fell more and more softly.
5)
A)
B)
C)
D)
D
C
Match the correct viewing rectangle dimensions with the figure.
6)
6)
A)
[–2, 16, 2] by [–8, 10, 2]
B)
[–8, 10, 2] by [–2, 16, 2]
C)
[–20, 10, 2] by [–20, 10, 2]
D)
[–2, 16, 2] by [–2, 16, 2]
7)
7)
A)
[–2, 16, 2] by [–2, 16, 2]
B)
[–20, 10, 2] by [–20, 10, 2]
C)
[–2, 10, 2] by [–8, 16, 2]
D)
[–20, 60, 20] by [–800, 1000, 200]
D
Simplify the expression.
8)
11x – [4–3(7x – 9)]
8)
A)
32x – 31
B)
–10x – 31
C)
32x – 23
D)
–10x – 23
A
A
Find –x for the given value of x.
9)
x =3
2
9)
A)
2
3
B)
3
2
C)
–2
3
D)
–3
2
Provide an appropriate response.
10)
Evaluate: 4+3(x –9)2, for x =12.
10)
A)
1327
B)
31
C)
23
D)
13
Solve the formula for the specified variable.
11)
A = P(1 + nr) for r
11)
A)
r =Pn
A – P
B)
r =A
n
C)
r =P – A
Pn
D)
r =A – P
Pn
Write the number in decimal notation without the use of exponents.
12)
3.26 × 10–4
12)
A)
0.0000326
B)
–326,000
C)
0.000326
D)
0.00326
Determine whether the statement is true or false.
13)
Some integers are not positive.
13)
A)
True
B)
False
Determine whether the inequality is true or false.
14)
18 < – 17
14)
A)
True
B)
False
Use the five–step strategy for solving word problems to find the number or numbers described in the following exercise.
15)
When a number is decreased by 30% of itself, the result is 462. What is the number?
15)
A)
2200
B)
5
C)
198
D)
660
Divide the expression using the quotient rule.
16)
x8
x3
16)
A)
x11
B)
x3
C)
x5
D)
1
x5
Solve the equation.
17)
25 – x = [7– (4–9)] –(2 –4)3
17)
A)
{31}
B)
{5}
C)
{–21}
D)
{21}
Find the absolute value.
18)
– – 2
18)
A)
2
B)
3
C)
–9
D)
–2
Provide an appropriate response.
7
19)
Graph y =x2– 5 in a rectangular coordinate system.
19)
A)
B)
C)
D)
Solve the equation to determine whether the equation is an identity, a conditional equation, or an inconsistent equation.
20)
4x + 7
7+5
7= – 4x
3
20)
A)
Identity
B)
Conditional equation
C)
Inconsistent equation
Find the absolute value.
21)
|–6.7|
21)
A)
0
B)
13.4
C)
6.7
D)
–6.7
C
Solve the problem.
22)
An auto repair shop charged a customer $305 to repair a car. The bill listed $65 for parts and the
remainder for labor. If the cost of labor is $40 per hour, how many hours of labor did it take to
repair the car?
22)
A)
6 hr
B)
7 hr
C)
6.5 hr
D)
5 hr
A
Subtract as indicated.
23)
1
7– – 4
7
23)
A)
–3
7
B)
3
7
C)
5
7
D)
–5
7
C
B
Express the interval in set builder notation and graph the interval on a number line.
24)
[0, )
24)
A)
{x x 0 }
B)
{x x >0 }
C)
{x x 0 }
D)
{x x >0 }
Write the expression with positive exponents only. Then simplify, if possible.
25)
9x–4y5
25)
A)
9x4
y5
B)
y5
9x4
C)
9
x4y5
D)
9y5
x4
Solve the formula for the specified variable.
26)
A =1
2bh for b
26)
A)
b =Ah
2
B)
b =h
2A
C)
b =A
2h
D)
b =2A
h
Simplify the expression using the quotients–to–powers rule.
27)
3p2v4
s3
3
27)
A)
27p5v7
s6
B)
27p6v12
s9
C)
3p6v12
s9
D)
3p6v12
s6
Solve the equation.
28)
2{1– [7(k +4) –6(k +4)]} = – 4k
28)
A)
3
4
B)
{3}
C)
2
3
D)
– 4
Write the number in decimal notation without the use of exponents.
29)
6×10–3
29)
A)
0.006
B)
6000
C)
600
D)
0.06
Solve the problem.
30)
In a recent International Gymnastics competition, the U.S., China, and Romania were the big
winners. If the total number of medals won by each team are three consecutive integers whose sum
is 78 and the U.S. won more than China who won more than Romania, how many medals did each
team win?
30)
A)
U.S.: 28 medals; China: 27 medals; Romania: 26 medals
B)
U.S.: 27 medals; China: 26 medals; Romania: 25 medals
C)
U.S.: 80 medals; China: 79 medals; Romania: 78 medals
D)
U.S.: 25 medals; China: 24 medals; Romania: 23 medals
Multiply as indicated.
31)
8
9(–1)
31)
A)
–1
2
B)
1
2
C)
–8
9
D)
8
9
Simplify the expression using the products to powers rule.
32)
(x–5y3)–1
32)
A)
y2
x–6
B)
x5
y3
C)
1
x5y3
D)
x–6
y2
Write the English phrase as an algebraic expression. Let x represent the number.
33)
6 times a number
33)
A)
6+ x
B)
6
x
C)
6– x
D)
6x
Use the Y = screen to write the equation being solved. Then use the table to solve the equation.
34)
Plot1 Plot2 Plot3
Y1=2 ( 5X + 3 )
Y2=20X + 11
Y3=
Y4=
Y5=
Y6=
Y7=
X Y1Y2
–1–4–9
–.9 –3–27.9
–.8 –2–24.8
–.7 –1–21.7
–.6 0–18.6
–.5 1–15.5
–.4 2–12.4
X = – 1
34)
A)
2(5x + 3) =20x + 11; {–0.5}
B)
2(5x + 3) +20x + 11 = 0; {–1}
C)
2(5x + 3) +20x + 11 = 0; {–0.5}
D)
2(5x + 3) =20x + 11; {–1}
Perform the indicated operation.
35)
4(–1)(10)(–4)
35)
A)
44
B)
–2
C)
160
D)
–160
C
Graph the equation.
13
A
36)
y = x + 4
36)
A)
B)
C)
D)
14
Simplify the expression using the products to powers rule.
37)
(–2xy)6
37)
A)
64xy
B)
–12xy
C)
–12x6y6
D)
64x6y6
By definition, an “and” statement is true only when the statements before and after the “and” connective are both true.
Use this definition to determine whether the given statement is true or false.
38)
{x x is a whole number between 8 and 11} = {9, 10} and 2< 2
38)
A)
True
B)
False
Evaluate.
39)
(–12)2
39)
A)
24
B)
–144
C)
144
D)
–24
By definition, an “and” statement is true only when the statements before and after the “and” connective are both true.
Use this definition to determine whether the given statement is true or false.
40)
{x x is a natural number between 6 and 9} = {6, 7, 8, 9} and –3> – 3
40)
A)
True
B)
False
Add as indicated.
41)
0 + (–12.6 )
41)
A)
0
B)
–12.6
C)
12.6
D)
11.5
15
Simplify the exponential expression.
42)
(–5x3y–4)(2x–1y)
42)
A)
–10x2y5
B)
–10x4
y3
C)
–10x4
y5
D)
–10x2
y3
Add as indicated.
43)
5.5 + (–5.5)
43)
A)
2
B)
0
C)
5.5
D)
–5.5
Simplify the exponential expression.
44)
12x–3y3
3xy–3
–1
44)
A)
x2
4y6
B)
x4y6
4
C)
x4
4y6
D)
4x4
y6
Determine whether the inequality is true or false.
45)
–29
45)
A)
True
B)
False
The table of values was generated by a graphing utility with a TABLE feature. Use the following table to solve.
X Y1Y2
–3 9 –3
–2 4 –1
–1 1 1
0 0 3
1 1 5
2 4 7
3 9 9
46)
Which equation corresponds to Y2 in the table?
46)
A)
y2=3x –2
B)
y2= x +3
C)
y2=3–2x
D)
y2= 2x + 3
Use the order of operations to simplify the expression.
47)
4· [8(4 – 8) – 7]
47)
A)
–60
B)
–20
C)
–156
D)
–16
Use the roster method to list the elements in the set.
48)
{x | x is an integer between –2 and 2}
48)
A)
{–2, –1, 0, 1, 2}
B)
{–2, –1, 0, 1}
C)
{–1, 0, 1, 2}
D)
{–1, 0, 1}
Multiply the expression using the product rule.
49)
(–8p4)(4p2)
49)
A)
32p8
B)
32p6
C)
–32p8
D)
–32p6
Solve the equation.
50)
x +5
2=3–x –1
4
50)
A)
{0}
B)
10
C)
{24}
D)
{1}
The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.
51)
During which hour did the temperature increase the most?
51)
A)
1 p.m. to 2 p.m.
B)
12 p.m. to 1 p.m.
C)
9 a.m. to 10 a.m.
D)
10 a.m. to 11 a.m.
Simplify the exponential expression.
52)
(4x–1y2)–2
52)
A)
x2
16y4
B)
y4
16x3
C)
16
y4x2
D)
–8x2
y4
Perform the indicated computation. Write the answer in scientific notation.
53)
6×10–4
2×10–3
53)
A)
3×10–1
B)
6×10–1
C)
3×10–7
D)
6×10–7
Simplify the algebraic expression.
54)
–2x + 8x
54)
A)
–16x
B)
6+ x
C)
6x
D)
–10x
Solve the formula for the specified variable.
55)
d = rt for r
55)
A)
r= d –t
B)
r=d
t
C)
r=t
d
D)
r= dt
Express the interval in set builder notation and graph the interval on a number line.
56)
(–9, 2]
56)
A)
{x –9< x 2 }
B)
{x –9< x <2 }
C)
{x –9 x 2 }
D)
{x x 2 }
Use the five–step strategy for solving word problems to find the number or numbers described in the following exercise.
57)
One number exceeds another by –10. The sum of the numbers is 2. What are the numbers?
57)
A)
4 and 7
B)
–5 and 7
C)
–4 and 6
D)
No solution
Write the expression with positive exponents only. Then simplify, if possible.
58)
1
3–2
58)
A)
1
9
B)
9
C)
–9
D)
–1
9
Express the interval in set builder notation and graph the interval on a number line.
59)
(–, –6)
59)
A)
{x x < – 6 }
B)
{x x –6 }
C)
{x x –6 }
D)
{x x < – 6 }
Solve the problem.
60)
Juanita is having her yard landscaped. She obtained an estimate from two landscaping companies.
Company A gave an estimate of $230 for materials and equipment rental plus $60 per hour for
labor. Company B gave and estimate of $310 for materials and equipment rental plus $50 per hour
for labor. Determine how many hours of labor will be required for the two companies to cost the
same.
60)
A)
11 hr
B)
8 hr
C)
7 hr
D)
12 hr