1. What is the algebraic expression for the following word phrase: The quotient of 7 and the sum of 3 and z?
A. 3-z
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7
B. 7
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3-z
C. 3+z
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7
D. 7
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3+z
2. Write an algebraic expression for the following word phrase: The quotient of 3 and z
A. 3
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z
B. 3
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3z
C. 3z
D. 3-z
3. Which property is illustrated by the following statement:
(3z)xy=3(zx)7
A. Associative Property Of Multiplcation
B. Commutative Property Of Multiplication
C. Inverse Property Of Multiplication
D. Commutative Property Of Addition
4. You made two deposits to your bank account this month. One deposit was $17.92, and the second deposit was $15.33. Your balance at the end of the month is $72.31, and you made no withdrawals. Write and evaluate an expression for your balance at the beginning of the month.
A. $72.31 + ($17.92 - $15.33)
B. $72.31 - ($17.92 - $15.33)
C. $72.31 + $17.92 + $15.33
D $72.31 - $17.92 - $15.33
I think:
B
A
A
D
#1 "sum" means addition, not subtraction, so D: 7/(3+z)
#2 correct
#3 correct, if "7" was supposed to be "y"
#4 correct
the real question says quotient, im assuming he misstyped
1. The correct answer is B. 7/(3 + z).
2. The correct answer is A. 3/z.
3. The correct answer is A. Associative Property of Multiplication.
4. The correct answer is B. $72.31 - ($17.92 - $15.33). Evaluating the expression: $72.31 - ($17.92 - $15.33) = $72.31 - $2.59 = $69.72.
1. To find the algebraic expression for the phrase "The quotient of 7 and the sum of 3 and z," we need to break it down step by step.
First, we need to find the sum of 3 and z, which is represented as (3 + z).
Next, we need to find the quotient of 7 and the sum we just found. This is represented as 7 divided by (3 + z), which can be written as 7 / (3 + z).
So, the correct algebraic expression for the word phrase is: 7 / (3 + z).
Looking at the given options, the correct choice is:
C. 3+z
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7
2. The word phrase "The quotient of 3 and z" asks for us to find the ratio of 3 to z.
To translate this into an algebraic expression, we simply write 3 divided by z, which is represented as 3/z.
Therefore, the correct algebraic expression for the word phrase is: 3/z.
Looking at the options, the correct choice is:
C. 3z
3. To determine which property is illustrated by the statement (3z)xy = 3(zx)7, we need to understand the properties of multiplication.
The Associative Property of Multiplication states that the grouping of numbers being multiplied does not affect the result. In other words, (a * b) * c = a * (b * c).
The Commutative Property of Multiplication states that the order in which numbers are multiplied does not affect the result. In other words, a * b = b * a.
The Inverse Property of Multiplication states that the product of a number and its reciprocal is always 1. In other words, a * 1/a = 1.
Finally, the Commutative Property of Addition states that the order in which numbers are added does not affect the result. In other words, a + b = b + a.
Looking at the given statement (3z)xy = 3(zx)7, we can see that the numbers (3z) and 7 are being multiplied, but the order in which the multiplication is done changes. This demonstrates the Commutative Property of Multiplication.
Therefore, the correct choice is:
B. Commutative Property of Multiplication
4. To find the balance at the beginning of the month, we need to subtract the total deposits from the ending balance.
The deposit amounts are $17.92 and $15.33. So, the total deposits can be written as ($17.92 + $15.33), which is $33.25.
Next, we need to subtract the total deposits from the ending balance of $72.31. Therefore, the expression is: $72.31 - $33.25.
Evaluating this expression, we get: $39.06.
So, the correct choice is:
A. $72.31 + ($17.92 - $15.33)