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
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.