Which property is illustrated by the following statement?

5g + 7 = 7 + 5g
(1 point)
Responses

Commutative Property of Multiplication
Commutative Property of Multiplication

Inverse Property of Multiplication
Inverse Property of Multiplication

Commutative Property of Addition
Commutative Property of Addition

Associative Property of Addition
Associative Property of Addition

35 answers

Commutative Property of Addition
Order the following numbers from least to greatest.

square root of eleven, –0.4, negative four-thirds, 0.8, square root of two
(1 point)
Responses

0.8, square root of two, negative four-thirds, square root of eleven, –0.4
0.8, Image with alt text: square root of two , Image with alt text: negative four-thirds , Image with alt text: square root of eleven , –0.4

square root of eleven, square root of two, 0.8, negative four-thirds, –0.4
Image with alt text: square root of eleven , Image with alt text: square root of two , 0.8, Image with alt text: negative four-thirds , –0.4

negative four-thirds, –0.4, 0.8, square root of two, square root of eleven
Image with alt text: negative four-thirds , –0.4, 0.8, Image with alt text: square root of two , Image with alt text: square root of eleven

–0.4, 0.8, square root of two, square root of eleven, negative four-thirds
–0.4, 0.8, square root of two, square root of eleven, negative four-thirds
Which number sentence does the following number line represent?

A number line is shown from negative 6 to 6. There are dots at negative 3 and 2. Above the dots are small vertical lines. An arrow that points to the left connects these two small lines.
(1 point)
Responses

3 + 2 = 5
3 + 2 = 5

negative 3 plus 5 equals 2
Image with alt text: negative 3 plus 5 equals 2

2 plus left parenthesis negative 3 right parenthesis equals 5
Image with alt text: 2 plus left parenthesis negative 3 right parenthesis equals 5

2 plus left parenthesis negative 5 right parenthesis equals negative 3
2 plus left parenthesis negative 3 right parenthesis equals 5
To which subset of real numbers does the following number belong?

square root of seven
(1 point)
Responses

rational numbers
rational numbers

irrational numbers
irrational numbers

whole numbers, integers, rational numbers
whole numbers, integers, rational numbers

whole numbers, natural n
irrational numbers
Which sum or difference is equivalent to the following expression?

Start Fraction 2 x plus 3 over 4 End Fraction
(1 point)
Responses

start fraction x over 2 end fraction + three-fourths
Image with alt text: start fraction x over 2 end fraction + Image with alt text: three-fourths

start fraction x over 2 end fraction – three-fourths
Image with alt text: start fraction x over 2 end fraction – Image with alt text: three-fourths

start fraction 3 x over 4 end fraction+ three-fourths
Image with alt text: start fraction 3 x over 4 end fraction + Image with alt text: three-fourths

8x + 24
start fraction x over 2 end fraction + three-fourths
What is the algebraic expression for the following word phrase: the sum of 4g and 6?
(1 point)
Responses

10g
10 g

4g + 6
4 g + 6

4 g minus 6
Image with alt text: 4 g minus 6

StartFraction 4 g over 6 EndFraction
4g + 6
What is the algebraic expression for the following word phrase: the quotient of 8 and the sum of 3 and m?
(1 point)
Responses

StartFraction 8 over 3 plus m EndFraction
Image with alt text: StartFraction 8 over 3 plus m EndFraction

eight-thirds plus 8 m
Image with alt text: eight-thirds plus 8 m

8 left parenthesis 3 plus m right parenthesis
Image with alt text: 8 left parenthesis 3 plus m right parenthesis

StartFraction 8 over 3 minus m EndFraction
StartFraction 8 over 3 plus m EndFraction
What is the algebraic expression for the following word phrase: the quotient of x and 6y?
(1 point)
Responses

x over 6
Image with alt text: x over 6

x over 6y
Image with alt text: x over 6y

6xy
6 xy

x – 6y
x over 6y
What is the difference?

nine-fourths minus one-seventh
(1 point)
Responses

negative three-eighths
Image with alt text: negative three-eighths

fifty-nine-twenty-eighths
Image with alt text: fifty-nine-twenty-eighths

negative eight-thirds
Image with alt text: negative eight-thirds

sixty-seven-twenty-eighths
negative eight-thirds
What is the simplified form of the following expression?

square root of one-one hundred forty-fourth
(1 point)
Responses

one-twelfth
Image with alt text: one-twelfth

one-two hundred eighty-eighth
Image with alt text: one-two hundred eighty-eighth

12
12

two-one hundred forty-fourths
one-twelfth
Which property is illustrated by the following statement?

(3z)xy = 3(zx)y
(1 point)
Responses

Associative Property of Multiplication
Associative Property of Multiplication

Commutative Property of Multiplication
Commutative Property of Multiplication

Inverse Property of Multiplication
Inverse Property of Multiplication

Commutative Property of Addition
Commutative Property of Addition
Associative Property of Multiplication
Evaluate a over z + bw2 for a = 21, b = 3, w = 6, and z = 7.
(1 point)
Responses

111
111

108
108

301
301

1,771
Substituting the given values, we have:

a/z + bw^2 = 21/7 + 3(6^2)
= 3 + 3(36)
= 3 + 108
= 111

Therefore, the value of a/z + bw^2 is 111.
What is the product?

4.3(–2.9)
(1 point)
Responses

12.47
12.47

–12.47
–12.47

7.74
7.74

–5.22
The product of 4.3 and -2.9 is -12.47.
What is the simplified form of the following expression?

three-fifths cubed
(1 point)
Responses

twenty-seven-one hundred twenty-fifths
Image with alt text: twenty-seven-one hundred twenty-fifths

152
152

3,375
3,375

one hundred twenty-five-twenty-sevenths
The simplified form of three-fifths cubed is twenty-seven-one hundred twenty-fifths.
Which word phrase can you use to represent the algebraic expression 6y?
(1 point)
Responses

6 less than a number y
6 less than a number y

the sum of 6 and a number y
the sum of 6 and a number y

the product of 6 and a number y
the product of 6 and a number y

the quotient of a number y and 6
the product of 6 and a number y
Using the formula r equals d over t, where d is the distance in miles, r is the rate, and t is the time in hours, at which rate must you travel to cover 212.5 miles in 2.5 hours?
(1 point)
Responses

71 mph
71 mph

106 mph
106 mph

150 mph
150 mph

85 mph
85 mph
To find the rate, we can rearrange the formula r = d/t as follows:

r = d/t
r = 212.5 miles / 2.5 hours
r = 85 mph

Therefore, you must travel at a rate of 85 mph to cover 212.5 miles in 2.5 hours.
What is the simplified form of the following expression?

–(8n – 5v)
(1 point)
Responses

–8n + 5v
–8 n + 5 v

8n + 5v
8 n + 5 v

8n – 5v
8 n – 5 v

–8n – 5v
The simplified form of –(8n – 5v) is –8n + 5v.
What is the simplified form of the following expression?

12[62 ÷ (52 – 42) + 7]
(1 point)
Responses

12.6
12.6

195
195

33.8
33.8

132
Let's simplify the expression step by step:

12[62 ÷ (52 – 42) + 7]
12[62 ÷ 10 + 7]
12[6.2 + 7]
12[13.2]
12 * 13.2
158.4

Therefore, the simplified form of the given expression is 158.4.
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