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Use the order of operations to simplify the expression.
294)
16 -72+ 3 ·17
294)
A)
6
B)
26
C)
16 -751
D)
5
Use the five-step strategy for solving word problems.
295)
After a 16% price reduction, a boat sold for $21,840. What was the boat's price before the reduction?
Round to the nearest cent, if necessary.
295)
A)
$26,000
B)
$136,500.00
C)
$3494.40
D)
$25,334.40
Simplify the exponential expression.
296)
(4x-4)(5x-6)
296)
A)
20x24
B)
20x10
C)
20
x10
D)
-20x24
Graph the equation.
297)
y =x- 1
297)
81
A)
B)
C)
D)
Solve the equation.
298)
-4(x + 7) - [40 ÷ 2(3+73) +3x] = - 7(x -7)
298)
A)
{7}
B)
{3}
C)
( , )
D)
Plot the point in the rectangular coordinate system.
82
299)
(-6,-4)
299)
A)
B)
C)
D)
Divide the expression using the quotient rule.
300)
21x13
3x8
300)
A)
x4
B)
x5
C)
7x4
D)
7x5
Solve the formula for the specified variable.
301)
P = 2L + 2W for W
301)
A)
W= P - 2L
B)
W=P -L
2
C)
W=P - 2L
2
D)
W= P -L
Use the indicated property to write an algebraic expression equivalent to the given expression.
302)
(2x + 6) + 2; associative
302)
A)
(2x + 6 + 2)
B)
(6 + 2x) + 2
C)
2x + 6 + 2
D)
2x + (6+ 2)
Solve the formula for the specified variable.
303)
P = 2L + 2W for L
303)
A)
L=P + 2W
2
B)
L= 2(P - 2W)
C)
L=P - 2W
2
D)
L=P -W
2
Solve the equation.
304)
6x - 4 =8
304)
A)
{5}
B)
{10}
C)
{2}
D)
{6}
Use the meaning of the symbols
and
to determine whether the statement is true or false.
305)
0
{ x | x is an irrational number}
305)
A)
True
B)
False
Simplify the exponential expression.
306)
x5
x9
306)
A)
-x4
B)
x4
C)
1
x4
D)
-1
x4
Determine whether the inequality is true or false.
307)
-12 < - 14
307)
A)
True
B)
False
Use the indicated property to write an algebraic expression equivalent to the given expression.
308)
9
13
13
9t; associative
308)
A)
250
117t
B)
13
9t
C)
81
169t
D)
t
Solve the equation.
309)
x
5=x
3+1
5
309)
A)
{0}
B)
-2
3
C)
-3
2
D)
-1
5
Simplify the expression.
310)
(32-23) - [48 ÷ (-8)]
310)
A)
7
B)
47
8
C)
6
D)
-5
Plot the point in the rectangular coordinate system.
311)
(-2, 0)
311)
A)
B)
C)
D)
C)
D)
Solve.
312)
If a rock falls from a height of 50 meters above the ground, the height H (in meters) after x seconds
is approximately H =50 - 4.9x2. What is the height of the rock after 3 seconds? (Round your
answer to the nearest tenth.)
312)
A)
405.9 m
B)
-166.09 m
C)
35.3 m
D)
5.9 m
Provide an appropriate response.
313)
Determine whether the following statement is true or false.
9
11
{ x |x is a natural number}
313)
A)
True
B)
False
Use the meaning of the symbols
and
to determine whether the statement is true or false.
314)
8
{ x | x is a rational number}
314)
A)
True
B)
False
Solve the equation.
315)
0.03y + 0.08(7000 - y) =0.20y
315)
A)
{2240}
B)
{1400}
C)
{140}
D)
{6720}
Perform the indicated operation.
316)
5
9- - 1
2
316)
A)
1
18
B)
-4
27
C)
19
18
D)
-19
18
Simplify the expression using the quotients-to-powers rule.
317)
m4
q7
3
317)
A)
m12
q10
B)
m7
q21
C)
m12
q21
D)
m7
q10
Provide an appropriate response.
318)
Plot (-4,-3) in a rectangular coordinate system.
318)
A)
B)
C)
D)
Solve the problem.
319)
When interest is compounded quarterly on an investment, the formula for finding the amount A of
an investment is given by A = P(1 +r
4)4t, where P is the starting principal, r is the interest rate
(as a decimal), and t is the time in years of the investment. What is the amount of an investment
that started with $1000 at an interest rate of 8% for 1 year?
319)
A)
$81,000
B)
$1082.43
C)
$16,000
D)
$1020.15
Write the expression with positive exponents only. Then simplify, if possible.
320)
5-3
320)
A)
-125
B)
125
C)
1
125
D)
1
15
Simplify the expression using the power rule.
321)
(62)4
321)
A)
4·68
B)
66
C)
4·62
D)
68
Use the five-step strategy for solving word problems.
322)
You bought a new car for $13,686. Its value is decreasing by $494 per year. After how many years
will its value be $9734?
322)
A)
8 years
B)
10 years
C)
1 year
D)
9 years
Provide an appropriate response.
323)
Write the following English phrase as an algebraic expression:
Three times the difference of a number and six.
Let x represent the number.
323)
A)
3(6 - x)
B)
3-6x
C)
3x -6
D)
3(x -6)
Simplify the exponential expression.
324)
4-6x-5y2
4-3x-8y4
324)
A)
1
64x8y2
B)
64
x3y2
C)
x3
64y2
D)
3x3
y2
Evaluate.
325)
-52
325)
A)
-10
B)
25
C)
-25
D)
-3
Use the five-step strategy for solving word problems.
326)
The length of a rectangular garden exceeds the width by 12 feet. If the perimeter of the rectangle is
48 feet, what are its dimensions?
326)
A)
6 ft by12 ft
B)
12 ft by 24 ft
C)
11 ft by 23 ft
D)
6 ft by 18 ft
Determine whether the inequality is true or false.
327)
-15 -15
327)
A)
True
B)
False
Add as indicated.
328)
5+ (-14)
328)
A)
9
B)
-9
C)
19
D)
-19
Solve the equation. Express the solution in scientific notation.
329)
(1.4 ×106)x =8.4 ×102
329)
A)
{6.00 × 10-4}
B)
{9.80 × 10-4}
C)
{6.00 × 108}
D)
{6.00 × 104}
Solve the equation. If the solution set is or (-, ), classify the equation as an inconsistent equation or an identity.
330)
2(-8x - 5) = - 2- 8(x + 2)
330)
A)
; inconsistent equation
B)
( , ); identity
C)
{-1}
D)
{1}
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
331)
For which values of x is Y1=Y2?
331)
A)
-1 and 2
B)
2 and 3
C)
2 and -2
D)
-1 and 3
Solve the problem.
332)
Sergio's internet provider charges its customers $7 per month plus 3¢ per minute of on-line usage.
Sergio received a bill from the provider covering a 5-month period and was charged a total of
$50.30. How many minutes did he spend on-line during that period? (Round to the nearest whole
minute, if necessary.)
332)
A)
984 min
B)
510 min
C)
1051 min
D)
51 min
Determine whether the statement is true or false.
333)
Some square roots are not irrational.
333)
A)
True
B)
False
Subtract as indicated.
334)
-3
4- - 5
8
334)
A)
-1
B)
1
8
C)
-1
8
D)
-1
4
Solve the equation.
335)
8y + 4(5+ y) = 3(y -9) + 10y
335)
A)
{-14}
B)
{-47}
C)
{47}
D)
{14}
Perform the indicated operation.
336)
-12.5 +6.6
336)
A)
-19.1
B)
5.9
C)
19.1
D)
-5.9
92
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.
337)
{x x is an integer between -2 and 3} = {-1, 0, 1, 2} and - < - 3
337)
A)
True
B)
False
Use the order of operations to simplify the expression.
338)
-19 + 50 ÷ (-5)
338)
A)
6
B)
-6
C)
-29
D)
29
Multiply as indicated.
339)
(-33)(-13)
339)
A)
329
B)
4290
C)
462
D)
429
Use the meaning of the symbols
and
to determine whether the statement is true or false.
340)
-16 { x | x is an irrational number}
340)
A)
True
B)
False
Plot the point in the rectangular coordinate system.
341)
(3,-1)
341)
93
A)
B)
C)
D)
Solve the problem.
342)
If a ball is thrown upward with a speed of 33.1 feet per second from a 124.26 ft high window, then
its height t seconds after it is thrown is given by the formula h =-16t2+33.1t + 124.26. Find the
height of the ball 0.8 seconds after it is thrown.
342)
A)
140.5 ft
B)
87.54 ft
C)
108.02 ft
D)
160.98 ft
Use the zero exponent rule to simplify the expression.
343)
3b 0
343)
A)
b
B)
1
C)
0
D)
3
Multiply as indicated.
344)
11 ·27
344)
A)
197
B)
286
C)
297
D)
2970
Solve. Express the result in scientific notation. If necessary, round the decimal factor to two decimal places.
345)
Approximately 9×103 employees of a certain company average $30,000 each year in salary. What
is the total amount earned by all the employees of this company per year?
345)
A)
$2.7 ×109
B)
$27 ×109
C)
$27 ×108
D)
$2.7 ×108
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.
346)
15
76 +15
76
{x x is a whole number} and the value of 15x2(x +38) -15x2(38 + x), for x = 100 is 0.
346)
A)
True
B)
False
Use the roster method to list the elements in the set.
347)
{x | x is a natural number multiple of 2}
347)
A)
{0, 2, 4, 6,. . .}
B)
{-6, -4, -2, 0, 2, 4, 6,. . .}
C)
{2, 4, 6, . . .}
D)
{4, 6, 8, . . .}
Use the order of operations to simplify the expression.
348)
25 - [10 - (3-8)] +(5 -7)3
348)
A)
-18
B)
2
C)
28
D)
18
Plot the point in the rectangular coordinate system.
95
349)
(-3,5)
349)
A)
B)
C)
D)
Simplify the algebraic expression.
350)
8(6x - 3) - 2(x - 4)
350)
A)
46x - 16
B)
46x - 32
C)
32x - 16
D)
46x - 7
Divide as indicated or state that the division is undefined.
351)
-1
6÷ - 3
5
351)
A)
18
5
B)
5
18
C)
-5
18
D)
-1
10
Write the expression with positive exponents only. Then simplify, if possible.
352)
x-2
y-8
352)
A)
y8
x2
B)
x2y8
C)
x2
y8
D)
1
x2y8
Solve the equation.
353)
[6 + (-5)2+ 6 ·7] ÷(6 - 4)=6x
353)
A)
{1}
B)
259
32
C)
73
12
D)
{2}
Solve.
354)
A car rental agency charges $175 per week plus $0.25 per mile to rent a car. The total cost, C, for the
renting the car for one week and driving it x miles can be modeled by the formula C =0.25x +175.
How many miles can you travel in one week for $275?
354)
A)
400 miles
B)
1100 miles
C)
243.75 miles
D)
375 miles
Solve the equation.
355)
6x + 6 =54
355)
A)
{42}
B)
{46}
C)
{3}
D)
{8}
Determine whether the statement is true or false.
356)
All whole numbers are integers.
356)
A)
True
B)
False
Use the meaning of the symbols
and
to determine whether the statement is true or false.
357)
29 { x | x is an integer}
357)
A)
True
B)
False
Use the Y = screen to write the equation being solved. Then use the table to solve the equation.
358)
Plot1 Plot2 Plot3
Y1=3 ( X - 4 )
Y2=3 ( 6-4 X )
Y3=
Y4=
Y5=
Y6=
Y7=
X Y1Y2
-2-18 42
-1-15 30
0-12 18
1-9 6
2-6-6
3-3-18
4 0 -30
X = - 2
358)
A)
3(x - 4) =3(6 -4x); {-2}
B)
3(x - 4) =3(6 -4x); {2}
C)
3(x - 4) +3(6 -4x) = 0; {2}
D)
3(x - 4) +3(6 -4x) = 0; {-2}
Solve. Express the result in scientific notation. If necessary, round the decimal factor to two decimal places.
359)
If the mass of an object is 3.9096 ×10-11 tons and its volume is 2.16 ×10-7 cubic feet, find the
density of this object. (Use the formula D =M
V.)
359)
A)
1.81 ×10-3 tons per cubic foot
B)
1.81 ×10-4 tons per cubic foot
C)
1.81 ×10-5 tons per cubic foot
D)
18.1 ×10-4 tons per cubic foot
Simplify the exponential expression.
360)
(-3x6y-7)(5x-1y)
360)
A)
2x5
y6
B)
-15x7
y8
C)
-15x5
y6
D)
-15x5y8
Provide an appropriate response.
361)
Write out the meaning of the inequality -23 > - 6. Then determine whether the inequality is true or
false.
361)
A)
-23 is greater than -6; false
B)
-23 is less than -6; false
C)
-23 is greater than -6; true
D)
-23 is less than -6; true
Find the absolute value.
362)
|6.4|
362)
A)
-6.4
B)
0
C)
12.8
D)
6.4
Use the meaning of the symbols
and
to determine whether the statement is true or false.
363)
5
9
{ x | x is an irrational number}
363)
A)
True
B)
False
