Solve the problem.
364)
A bookcase is to be constructed as shown in the figure below. The height of the bookcase is 4 feet
longer than the length of a shelf. If 26 feet of lumber is used for the entire unit (including the
shelves, but NOT the back of the bookcase), find the length and height of the unit.
x
x +4
364)
A)
Length =11.0 ft; height =13.5 ft
B)
Length =3 ft; height =12 ft
C)
Length =4.5 ft; height =8.5 ft
D)
Length =3 ft; height =7 ft
Simplify the expression.
365)
92+(12 –6)2
28 ÷ 4 – (5+ 1)
365)
A)
2925
B)
57
C)
189
D)
117
Write the number in decimal notation without the use of exponents.
366)
–2.45 × 106
366)
A)
2,450,000
B)
–2,450,000
C)
–245,000
D)
–24,500,000
367)
3.51 ×100
367)
A)
3.51
B)
0
C)
1
D)
35.1
Use the zero exponent rule to simplify the expression.
368)
40
368)
A)
0
B)
–1
C)
4
D)
1
Multiply the expression using the product rule.
369)
(–8x2y)(–6x4y3)
369)
A)
–14x6y3
B)
48x8y3
C)
48x6y4
D)
–48x6y3
Solve the formula for the specified variable.
370)
V =1
3lwh for w
370)
A)
w= 3Vlh
B)
w= 3V –lh
C)
w=3V
lh
D)
w=V
3lh
The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.
371)
At what time was the temperature its lowest?
371)
A)
6 p.m.
B)
4 p.m.
C)
9 a.m.
D)
1 p.m.
Solve the problem.
372)
A person learning certain skills involving repetition tends to learn quickly at first and then learning
tapers off and approaches some upper limit. Suppose the number of symbols per minute that a
computer operator can produce is given by P =250 –130(3)–0.5t, where t is the number of months
the operator has been in training. Find the number of symbols after 2 months of training.
372)
A)
140 symbols
B)
360 symbols
C)
40 symbols
D)
206 symbols
Determine whether the statement is true or false.
373)
Some natural numbers are not integers.
373)
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
374)
Does the graph of Y2 pass through the origin?
374)
A)
Yes
B)
No
Provide an appropriate response.
375)
Find the absolute value: |–9|.
375)
A)
0
B)
–9
C)
18
D)
9
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.
376)
2
9–11
9
{x x is an integer} and the value of 7x2(x +2) –7(x +2)x2, for x = 100 is 0.
376)
A)
True
B)
False
Use the zero exponent rule to simplify the expression.
377)
(–10)0
377)
A)
10
B)
–1
C)
1
D)
0
Plot the point in the rectangular coordinate system.
104
378)
(0,–5)
378)
A)
B)
C)
D)
Determine whether the statement is true or false.
379)
All whole numbers are positive.
379)
A)
True
B)
False
Use the order of operations to simplify the expression.
380)
73–(–6)2
380)
A)
379
B)
307
C)
–15
D)
33
Solve the formula for the specified variable.
381)
A =1
2h(b1+ b2) for b1
381)
A)
b1=
hb2– 2A
h
B)
b1=
b22A – h
h
C)
b1=
A – hb2
2h
D)
b1=
2A – hb2
h
Graph the equation.
382)
y =x2– 4
382)
A)
B)
106
C)
D)
Simplify the expression using the products to powers rule.
383)
(–5pqr)3
383)
A)
–125p3q3r3
B)
–15pqr
C)
–125pqr
D)
–15p3q3r3
A
Explanation:
Use the indicated property to write an algebraic expression equivalent to the given expression.
384)
7(3n + 8); distributive
384)
A)
21n + 8
B)
21n + 56
C)
77n
D)
10n + 15
B
Explanation:
Determine whether the statement is true or false.
385)
Every real number is either an integer or irrational.
385)
A)
True
B)
False
B
Explanation:
C
Explanation:
Evaluate the expression for the given values.
386)
6x + 7, for x =4
386)
A)
17
B)
31
C)
13
D)
48
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.
387)
The quotient of a number and the sum of the number and 3 is represented by x
x+3 and
2
{x x is a rational number}
387)
A)
True
B)
False
Simplify the expression using the quotients–to–powers rule.
388)
x–3
y6
–1
388)
A)
y5
x–4
B)
1
x3y6
C)
x3y6
D)
x–4
y5
Use the indicated property to write an algebraic expression equivalent to the given expression.
389)
2
3(6y); associative
389)
A)
–5y
B)
4y
C)
–4y
D)
6y
Add as indicated.
390)
–6+ (–15)
390)
A)
–21
B)
–9
C)
9
D)
21
108
Simplify the exponential expression.
391)
y–7
y4
391)
A)
1
y28
B)
1
y11
C)
1
y3
D)
y11
Solve.
392)
The formula C =5
9(F – 32) converts Fahrenheit to Celsius degrees. The high temperature in a
certain city was 41°F. Find the corresponding Celsius temperature (to the nearest degree).
392)
A)
16°C
B)
5°C
C)
23°C
D)
–9°C
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.
393)
5
{1, 2, 3,…..} and –8
{1, 2, 3,….}
393)
A)
True
B)
False
Simplify the expression.
394)
–5(2y –8) – (4y –7)
394)
A)
–14y +33
B)
14y +33
C)
6y +47
D)
–14y +47
Subtract as indicated.
395)
–13 – 15
395)
A)
2
B)
–28
C)
28
D)
–2
Write the expression with positive exponents only. Then simplify, if possible.
396)
x2y–2
396)
A)
y14x2
B)
x2
y14
C)
x2
y2
D)
y2x2
Simplify the algebraic expression.
397)
–4(2x –9) – 4x +7
397)
A)
12x +43
B)
–12x –29
C)
–12x +43
D)
4x +43
Simplify the expression using the power rule.
398)
(6–6)–4
398)
A)
610
B)
1
624
C)
1
610
D)
624
Solve.
399)
The formula F =0.02x2+22 models the percentage of female tenured faculty, F, at State University,
x years after 2010. According to the formula, in what year will the percentage of female tenured
faculty reach 34.5?
399)
A)
2034
B)
2035
C)
2036
D)
2037
Subtract as indicated.
400)
–10.4 – 14.7
400)
A)
25.1
B)
4.3
C)
–4.3
D)
–25.1
Solve.
401)
The equation V = – 3000t +20,000 describes the value in dollars of a certain model of car after it is t
years old. If a car is worth $11,000, find the age of the car.
401)
A)
3 years
B)
2 years
C)
5 years
D)
4 years
Write the number in decimal notation without the use of exponents.
402)
–2.3049 ×105
402)
A)
–23,049
B)
–115.245
C)
–2,304,900
D)
–230,490
Answer Key
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Answer Key
Testname: C1
Answer Key
Testname: C1
Answer Key
Testname: C1
Answer Key
Testname: C1
Answer Key
Testname: C1
Answer Key
Testname: C1
Answer Key
Testname: C1
Answer Key
Testname: C1