consider the expression given below:
1/8 (16x − 32 )
Using the distributive property, the equivalent expression for it will be
(1 point)
[ ]x - [ ]
32
4
2
2
8
16
The equivalent expression using the distributive property is: 2x - 4
Which expression is equivalent to 13x-2y-3(x+4y) with fewer terms?
(1 point)
Responses
16x - 14y
16x - 14y
10x - 10y
10x - 10y
10x - 14y
10x - 14y
16x - 10y
The expression that is equivalent to 13x-2y-3(x+4y) with fewer terms is 10x - 14y.
What is the sum? 7/3 + (− 3/8)
(1 point)
65/24
47/24
- 4/5
- 5 / 4
The sum of 7/3 and (-3/8) is 47/24.
Which property is illustrated by the statement?
8x(5) = (5)8x
(1 point)
Responses
Associative Property of Addition
Associative Property of Addition
Commutative Property of Multiplications
Commutative Property of Multiplications
Inverse Property of Multiplication
Inverse Property of Multiplication
Commutative Property of Addition
The property illustrated by the statement 8x(5) = (5)8x is the Commutative Property of Multiplication.
Which property is illustrated by the statement?
7x + 4 = 4 + 7x
(1 point)
Responses
Associative Property of Addition
Associative Property of Addition
Inverse Property of Multiplication
Inverse Property of Multiplication
Commutative Property of Addition
Commutative Property of Addition
Closure Property
The property illustrated by the statement 7x + 4 = 4 + 7x is the Commutative Property of Addition.
Order the following numbers from least to greatest.
7–√ , −2.3 , 3–√ , 5.1 , −13
Ordering the numbers from least to greatest:
-13, 7–√, 3–√, -2.3, 5.1
Order the following numbers from least to greatest.
7–√ , −2.3 , 3–√ , 5.1 , −1/3
Ordering the numbers from least to greatest:
-2.3, 3–√, -1/3, 7–√, 5.1
onsider the expression 6 + 6–√
(1 point)
6 is
, 6–√ is
so, 6 + 6–√ is
which is rational and which is irrational
The expression 6 + 6 - √ is:
6 is rational,
6 - √ is irrational,
So, 6 + 6 - √ is an expression that includes both a rational (6) and an irrational component (√).
Which sum or difference is equivalent to the following expression? 12x − 8/4
The expression 12x - 8/4 is equivalent to the sum or difference:
12x - 2
Alvin weighed 180 pounds at the beginning of the semester. After eating healthy foods and exercising regularly for six weeks, he lost 2 pounds per week. Which expression would he use to represent his current weight at any time after x amount of weeks if he continues to lose 2 pounds per week?
To represent Alvin's current weight at any time after x weeks if he continues to lose 2 pounds per week, the expression he would use is:
180 - 2x
What is the simplified form of the expression? √1/64
(1 point)
Responses
1/128
1/8
±8
1/4096
The simplified form of the expression √(1/64) is 1/8.
Evaluate the following expression for the values given.
ad + c2b a =10 b = 6 c =3 d = 5
(1 point)
Responses
59
59
66
66
56
56
84
To evaluate the expression ad + c^2b for the given values:
a = 10, b = 6, c = 3, d = 5
We substitute the values into the expression:
10(5) + 3^2(6)
= 50 + 9(6)
= 50 + 54
= 104
Therefore, the value of the expression is 104.
Evaluate the following expression for the values given.
ad + c2b a =10 b = 6 c =3 d = 5
(1 point)
59
66
56
84
To evaluate the expression ad + c^2b for the given values:
a = 10, b = 6, c = 3, d = 5
We substitute the values into the expression:
10(5) + 3^2(6)
= 50 + 9(6)
= 50 + 54
= 104
Therefore, the value of the expression is 104.
Michael has substantial student debt, but he recently got a new job, which came with a signing bonus. He calculates that with his new job, he can put aside a fixed amount of money every month to pay off his debt. He also puts the entirety of his bonus towards paying off his debt. He constructs the expression 36,700 - (5,000 + 500m) to represent the size of his debt after m months. Which number describes the value of his signing bonus?
(1 point)
Responses
36,000
36,000
5,000
5,000
500
The number that describes the value of Michael's signing bonus is 5,000.
Which statement about the product is true?
6.57 x 2.67534
(1 point)
Responses
The product is irrational.
The product is irrational.
The product is rational.
The product is rational.
The product is neither rational nor irrational.
The product is neither rational nor irrational.
The nature of the product cannot be determined.
The statement about the product 6.57 x 2.67534 is: The product is rational.
In which of these situations, do the two quantities combine to make 0? Select all that apply.
(1 point)
Responses
An airplane at 3,000 feet gains 3,000 feet.
An airplane at 3,000 feet gains 3,000 feet.
A submarine at –340 feet under dives 340 feet.
A submarine at –340 feet under dives 340 feet.
A hawk at 120 feet above the ground dives 120 feet.
A hawk at 120 feet above the ground dives 120 feet.
A diver at –40 feet under the sea rises 40 feet.
A diver at –40 feet under the sea rises 40 feet.
An octopus at –38 feet underwater rises 38 feet.
The two quantities that combine to make 0 are:
- A submarine at -340 feet diving 340 feet
- A diver at -40 feet under the sea rising 40 feet
- An octopus at -38 feet underwater rising 38 feet
1) What is the simplified form of the expression?
- ( 8w - 2y)
The simplified form of the expression - (8w - 2y) is:
-8w + 2y
What is the simplified form of the expression? Show all of your work for credit.
-5 [ 4² ÷ ( 49 - 41) + 6]
To simplify the expression -5 [4² ÷ (49 - 41) + 6]:
First, let's perform the operations inside the square brackets: 4² = 16, and (49 - 41) = 8. Therefore, the expression becomes:
-5 [16 ÷ 8 + 6]
Next, we perform the division operation (16 ÷ 8) = 2, and then add 6:
-5 [2 + 6]
Simplifying further, we find:
-5 [8]
Finally, we perform the multiplication operation (-5) * (8) = -40:
-40
Therefore, the simplified form of the expression -5 [4² ÷ (49 - 41) + 6] is -40.
Simplify the expression.
6xy−7y
The simplified form of the expression 6xy − 7y is:
y(6x - 7)