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