Change the word statement to an equation. Use x as the variable.
205)
12 divided by a number equals 1
3 times that number.”
205)
A)
12
x=3x
B)
12
x=1
3x
C)
x
12 =x
3
Provide an appropriate response.
206)
The product of three negative numbers is positive.
206)
A)
True
B)
False
207)
If a, b, and c are real numbers, is this statement true or false? If a = b, then a – b = b – c.
207)
A)
True
B)
False
Answer the question or complete the sentence to make a true statement.
208)
In order to add –8 and –8, I should begin by finding the of the of –8 and –8.
208)
A)
Sum, absolute values
B)
Opposite, additive inverses
C)
Additive inverses, opposites
D)
Difference, absolute values
Simplify.
209)
7
4·1
3+4
5·1
2
209)
A)
13
15
B)
59
60
C)
59
36
D)
59
44
Find the numerical value of the expression for a) x = 4 and b) x = 18.
210)
0.59x2
210)
A)
a) 9.44 b)191.16
B)
a) 4.72 b) 21.24
C)
a) 3.54 b) 15.34
D)
a) 4.72 b) 15.34
Provide an appropriate response.
211)
If a, b, and c are real numbers, is this statement true or false? a – 0 = – a
211)
A)
True
B)
False
Decide if the statement is true or false.
212)
–16 –13
212)
A)
True
B)
False
Tell whether the statement is true or false.
213)
Some rational numbers are integers.
213)
A)
True
B)
False
Use order of operations to simplify the expression.
214)
22 + (–20 – 22)
214)
A)
20
B)
24
C)
64
D)
–20
Perform the indicated operations.
215)
12 + 4 ·28 – 17
215)
A)
431
B)
27
C)
176
D)
107
41
Tell whether the statement is true or false.
216)
Every irrational number is an integer.
216)
A)
True
B)
False
Find the value of the expression.
217)
5[4 +9(92)]
217)
A)
32,825
B)
180,625
C)
36,125
D)
3665
Simplify.
218)
63÷12 –10
218)
A)
108
B)
8
C)
27
D)
214
Find the difference.
219)
–2
7–1
2– – 10
7–4
219)
A)
65
14
B)
–47
14
C)
25
14
D)
–87
14
Give the numerical coefficient of the term.
220)
–3y
220)
A)
3y
B)
3
C)
y
D)
–3
Find the value of the expression.
221)
5(2 + 1) –6(1 + 1)
5(4 – 2) –23
221)
A)
3
8
B)
9
2
C)
3
2
D)
1
2
Simplify.
222)
240 ÷5–2
222)
A)
46
B)
233
C)
80
D)
237
Change the word statement to an equation. Use x as the variable.
223)
The sum of two–thirds a number and 93 is 48.
223)
A)
2
3x +48 =93
B)
2
3x +93 =48
C)
2
3x ·93 =48
D)
2
3x –93 =48
Write this word statement as an equation. Use x as the variable, and find all solutions from the set
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
224)
32 divided by a number equals 1
2 times that number.
224)
A)
32
x=1
2x; 8
B)
x
32 =2x; 8
C)
32
x=1
2x; 32
D)
x
32 =1
2x; No solution
Find the value of the exponential expression.
225)
25
225)
A)
25
B)
4
C)
32
D)
10
Write the word statement in symbols.
226)
Seven is not equal to four.
226)
A)
74
B)
74
C)
7<4
D)
7>4
Find the product.
227)
2(73)(5)
227)
A)
730
B)
375
C)
732
D)
511
Tell whether the statement is true or false.
228)
The absolute value of any nonzero number is an irrational number.
228)
A)
True
B)
False
Use an integer or rational number to express the number representing change.
229)
One country exported $79,100,000 more than it imported, giving it a positive trade balance.
229)
A)
–79,100,000
B)
79,100,000
Simplify.
230)
24 +26 ·28
230)
A)
652
B)
1400
C)
752
D)
78
44
Provide an appropriate response.
231)
The cube of a negative number is negative.
231)
A)
True
B)
False
Decide if the given number is a solution to the given equation.
232)
x +4
5– x =7
6; 11
13
232)
A)
Yes
B)
No
Simplify by finding the absolute value.
233)
–17
233)
A)
0
B)
17
C)
34
D)
–17
Solve the problem.
234)
Your bank account has $77 in it when you write checks for $41, $12, and $35. You then deposit $60
and $41. How much is in the account? Are you overdrawn?
234)
A)
–$64, yes
B)
$125, no
C)
$90, no
D)
$64, no
Simplify the expression.
235)
–3– (7–2t)
235)
A)
–4–2t
B)
10 +2t
C)
–10 +2t
D)
4–2t
Provide an appropriate response.
236)
One way to measure a person‘s cardiofitness is to calculate how many METs, or metabolic units, he
or she can reach at peak exertion. One MET is the amount of energy used when sitting quietly. To
calculate ideal METs, we can use the expression:
14.7 – age · 0.13 For women
or 14.7 – age · 0.11 For men
Researchers recommend that a person reach approximately 85% of his or her MET when
exercising. Calculate 85% of the ideal MET for a 65–yr–old woman. Then refer to the following
table. What activity can the woman do that is approximately this value?
Activity METs Activity METS
Golfing (with cart) 2.5 Skiing (water or downhill) 6.8
Walking (3 mph) 3.3 Swimming 7.0
Mowing lawn (power mower) 4.5 Walking (5 mph) 8.0
Ballroom or square dancing 5.5 Jogging 10.2
Cycling 5.7 Skipping rope 12.0
236)
A)
6.25; Mowing lawn
B)
5.313; Ballroom or square dancing
C)
6.25; Swimming
D)
5.313; Walking
Use an integer or rational number to express the number representing change.
237)
During one year, 29 employees started work at Newline Manufacturing Company.
237)
A)
–29
B)
29
Write a numerical expression for the phrase and simplify it.
238)
The quotient of –126 and the sum of 7 and 14
238)
A)
–126
7– 6 ; 6
B)
7+ 14
–126 ; –1
6
C)
–126
7+ 14 ; –6
D)
–126 + 7 + 14; –105
Find the difference.
239)
12 – (–4)
239)
A)
–16
B)
8
C)
16
D)
–8
Provide an appropriate response.
240)
The bar graph shows governmental budget outlays for Country X’s Department of the Environment
for the years 2008 through 2011. Use a signed number to represent the change in outlay for (a) 2008
to 2009 and (b) 2010–2011.
65.5
40.9
29.4
22.7
240)
A)
(a) 24.6 billion dollars, (b) 6.7 billion dollars
B)
(a) 106.4 billion dollars, (b) 52.1 billion dollars
C)
(a) –24.6 billion dollars, (b) –6.7 billion dollars
D)
(a) –106.4 billion dollars, (b) –52.1 billion dollars
241)
The table shows the number of pupils per teacher in selected counties in a certain state.
County Pupils per Teacher
Addison 16.7
Branson 14.7
Cumberland 20.5
Dixson 12.5
Hendricks 12.3
Kendall 17.8
Putnum 13.9
For which counties are the values not less than 14.7?
241)
A)
Addison, Branson, Cumberland, Kendall
B)
Branson, Dixson, Hendricks, Putnum
C)
Addison, Cumberland, Kendall
D)
Dixson, Hendricks, Putnum
Perform the indicated operation.
242)
–13 – [–4+ (21 –15)]
242)
A)
–3
B)
–15
C)
53
D)
–45
B
Simplify the expression.
243)
–4y + 2 – 1 + 6 + y – 7
243)
A)
–3y
B)
–5y
C)
–5y + 1
D)
–3y – 1
A
Use an integer or rational number to express the number representing change.
244)
Mr. Voss decreased his speed by 8 miles per hour.
244)
A)
8
B)
–8
B
A
Write the expression without parentheses.
245)
–(2z –3w +8y)
245)
A)
–2z +3w +8y
B)
–2z +3w –8y
C)
–2z –3w +8y
D)
–2z –3w –8y
Answer the question or complete the sentence to make a true statement.
246)
According to the rules for the order of operations, what should be the first step when simplifying
the expression [–5+ (–10 + 3)] + (–3+ 4)?
246)
A)
Find the sum of –5 and –3
B)
Find the sum of 3 and –3
C)
Find the sum of –10 and 3
D)
Find the sum of –5 and –10
Find the sum.
247)
–22 + 6
247)
A)
–28
B)
28
C)
16
D)
–16
Find the numerical value of the expression for a) x = 4 and b) x = 18.
248)
x + 6
7
248)
A)
a) 7
10 b) 7
24
B)
a) 24
7 b) 10
7
C)
a) 24
7 b) 108
7
D)
a) 10
7 b) 24
7
Use the properties of real numbers to simplify the expression.
249)
8
3 (–0.23) 3
8
249)
A)
–0.23
B)
8
3
C)
1
D)
–1
Decide whether the problem is an equation or an expression.
250)
8x + 9
3=8x
9– 8
250)
A)
Expression
B)
Equation
Write the word statement in symbols.
251)
Sixteen is less than or equal to nine plus eight.
251)
A)
9+ 8 16
B)
16 9+ 8
C)
16 <9+ 8
D)
16 + 9 8
B
Find the difference.
252)
–4
5– – 7
10
252)
A)
–1
10
B)
–11
10
C)
1
10
D)
–3
10
A
Find all integer factors of the given number.
253)
125
253)
A)
–25, –5, –1, 1, 5, 25
B)
–125, –25, –5, –1, 1, 5, 25, 125
C)
–125, –25, –5, 5, 25, 125
D)
–125, –62, –5, 5, 62, 125
B
Find the sum.
254)
26 +112 + 74+188
254)
A)
400
B)
410
C)
300
D)
500
A
50
B
Select the smaller of the two given numbers.
255)
–170, 2
255)
A)
–170
B)
2
Answer the question.
256)
What value for x makes the expression 8+ 2x equal to 16?
256)
A)
5
B)
4
C)
7
D)
3
B
Rewrite the statement so the inequality symbol points in the opposite direction.
257)
5.89 <5.97
257)
A)
5.97 5.89
B)
5.89 >5.97
C)
5.97 >5.89
D)
5.89 5.97
C
Find the average of the numbers.
258)
What is the average of all integers between –3 and 19, inclusive of both?
258)
A)
–18
B)
9
C)
8
D)
184
C
Change the word statement to an equation. Use x as the variable.
259)
When 2 times a number is subtracted from 7 times the number, the result is 35.
259)
A)
2(x – 7) =35x
B)
2x(7 – x) =35
C)
2x + 7x =35
D)
7x – 2x =35
D
Use an integer or rational number to express the number representing change.
260)
A football team lost 24 yards on one play.
260)
A)
24
B)
–24
B
A
Give the numerical coefficient of the term.
261)
13
261)
A)
1
B)
–1
C)
13
D)
0
Simplify by finding the absolute value.
262)
262)
A)
0
B)
20
C)
–10
D)
10
D
Give the numerical coefficient of the term.
263)
z
263)
A)
z
B)
1
C)
–1
D)
0
B
Evaluate the expression for the given values. If necessary, round to the nearest tenth.
264)
15x – 12y
7 x =9, y =2
264)
A)
78
7
B)
123
7
C)
159
7
D)
111
7
D
C
Answer Key
Testname: C1
Answer Key
Testname: C1
54
Answer Key
Testname: C1
Answer Key
Testname: C1
Answer Key
Testname: C1
Answer Key
Testname: C1