What is the simplified form of the following expression?
6c2 + 2.5d – d + 2c2 – 3d
(1 point)
4 c 2 – 1.5 d
6c2 + 0.5d
8 c 2 – 1.5 d
8c2 + 1.5d
The simplified form of the expression 6c2 + 2.5d - d + 2c2 - 3d is 8c2 - 0.5d.
Simplify the following expression.
one-fourth(16 – 12x)
(1 point)
4 + 3 x
4 – 3x
4 + 3
4 – 3
To simplify the expression one-fourth(16 - 12x), we need to multiply 16 - 12x by one-fourth.
(16 - 12x) * (1/4)
Using the distributive property, we get:
16 * (1/4) - 12x * (1/4)
4 - 3x
Therefore, the simplified form of the expression is 4 - 3x.
What is the sum?
seven-thirds plus negative three-eighths
(1 point)
sixty-five-twenty-fourths
forty-seven-twenty-fourths
negative four-fifths
negative five-fourths
To find the sum of seven-thirds and negative three-eighths, we need to first convert both fractions to have a common denominator.
The least common denominator (LCD) of 3 and 8 is 24.
Now we will convert seven-thirds to an equivalent fraction with a denominator of 24.
(7/3) * (8/8) = 56/24
Next, we will convert negative three-eighths to an equivalent fraction with a denominator of 24.
(-3/8) * (3/3) = -9/24
Now, we add the two fractions together:
56/24 + (-9/24) = (56 - 9) / 24 = 47/24
So, the sum of seven-thirds plus negative three-eighths is forty-seven-twenty-fourths.
Which property is illustrated by the following statement?
2x(6) = (6)2x
(1 point)
Associative Property of Addition
Commutative Property of Multiplication
Inverse Property of Multiplication
Commutative Property of Addition
The property illustrated by the following statement: 2x(6) = (6)2x is the Commutative Property of Multiplication.
Which property is illustrated by the following statement?
5g + 7 = 7 + 5g
(1 point)
Commutative Property of Multiplication
Inverse Property of Multiplication
Commutative Property of Addition
Associative Property of Addition
The property illustrated by the following statement: 5g + 7 = 7 + 5g is the 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)
0.8, square root of two, negative four-thirds, square root of eleven, –0.4
square root of eleven, square root of two, 0.8, negative four-thirds, –0.4
negative four-thirds, –0.4, 0.8, square root of two, square root of eleven
–0.4, 0.8, square root of two, square root of eleven, negative four-thirds
To order the numbers from least to greatest, we can start by comparing their decimal values:
-0.4, 0.8
Since -0.4 is less than 0.8, we have:
-0.4, 0.8
Next, we can compare the values of the remaining irrational numbers:
√2, √11
√2 is approximately 1.41, and √11 is approximately 3.32
Therefore, the final order from least to greatest is:
-0.4, 0.8, √2, √11, -4/3
Therefore, the correct option is: –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)
3 + 2 = 5
negative 3 plus 5 equals 2
2 plus left parenthesis negative 3 right parenthesis equals 5
2 plus left parenthesis negative 5 right parenthesis equals negative 3
The number line representation of dots at -3 and 2 with a left-pointing arrow connecting them represents the number sentence:
2 + (-3) = -1
Therefore, the correct answer is: 2 plus left parenthesis negative 3 right parenthesis equals negative 1.
o which subset of real numbers does the following number belong?
square root of seven
(1 point)
rational numbers
irrational numbers
whole numbers, integers, rational numbers
whole numbers, natural numbers, integers
The square root of seven belongs to the subset of real numbers called irrational numbers.
Which sum or difference is equivalent to the following expression?
Start Fraction 2 x plus 3 over 4 End Fraction
(1 point)
start fraction x over 2 end fraction + three-fourths
start fraction x over 2 end fraction – three-fourths
start fraction 3 x over 4 end fraction+ three-fourths
8x + 24
The sum or difference that is equivalent to the expression Start Fraction 2 x plus 3 over 4 End Fraction is 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)
10 g
4g + 6
4 g minus 6
StartFraction 4 g over 6 EndFraction
The algebraic expression for the word phrase "the sum of 4g and 6" is 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)
StartFraction 8 over 3 plus m EndFraction
eight-thirds plus 8 m
8 left parenthesis 3 plus m right parenthesis
StartFraction 8 over 3 minus m EndFraction
The algebraic expression for the word phrase "the quotient of 8 and the sum of 3 and m" is 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)
x over 6
x over 6y
6xy
x – 6y
The algebraic expression for the word phrase "the quotient of x and 6y" is x over 6y.
What is the difference?
nine-fourths minus one-seventh
(1 point)
negative three-eighths
fifty-nine-twenty-eighths
negative eight-thirds
sixty-seven-twenty-eighths
To find the difference of nine-fourths minus one-seventh, we need to have a common denominator.
The least common denominator (LCD) of 4 and 7 is 28.
Now we will convert nine-fourths to an equivalent fraction with a denominator of 28:
(9/4) * (7/7) = 63/28
Next, we will convert one-seventh to an equivalent fraction with a denominator of 28:
(1/7) * (4/4) = 4/28
Now, we can subtract the two fractions:
63/28 - 4/28 = (63 - 4) / 28 = 59/28
So, the difference of nine-fourths minus one-seventh is fifty-nine-twenty-eighths.
What is the simplified form of the following expression?
square root of one-one hundred forty-fourth
(1 point)
one-twelfth
one-two hundred eighty-eighth
12
two-one hundred forty-fourths
The simplified form of the expression "square root of one-one hundred forty-fourth" is one-twelfth.
Which property is illustrated by the following statement?
(3z)xy = 3(zx)y
(1 point)
Associative Property of Multiplication
Commutative Property of Multiplication
Inverse Property of Multiplication
Commutative Property of Addition
The property illustrated by the following statement: (3z)xy = 3(zx)y is the Associative Property of Multiplication.
Evaluate a over z + bw2 for a = 21, b = 3, w = 6, and z = 7.
(1 point)
111
108
301
1,771
To evaluate a/z + bw^2 for a = 21, b = 3, w = 6, and z = 7, we substitute the given values into the expression:
21/7 + 3(6)^2
21/7 simplifies to 3:
3 + 3(36)
3(36) simplifies to 108:
3 + 108
Finally, we add 3 + 108 to get:
111
Therefore, the value of a/z + bw^2 is 111.