5)Which property is illustrated by the following statement ?

3z+4=4+3z

A)Associative property of addition
B)Commutative property of multiplication
C)Inverse property of multiplication
D)commutative property of addition

12) What is the algebraic expression for the following word phase: the quotient of 3 and z?

A) 3/2
B) 3/2z
C) 3z
D) 3-z

15) 6+(2x+2z) = (6+2x)+2z

A)Associative property of multiplication
B)Commutative property of multiplication
C)Inverse property of multiplication
D)Associative property of addition

19) Which word phase can you use to represent the algebraic expression 4z?

A)the product of 4 and a number z
B)the sum of 4 and a number z
C)the quotient of 4 and a number z
D)the difference of 4 and a number z

21)What is the simplified form of the following expression?
-(8n-5v)

A)-8n+5v
B)8n+5v
C)8n-5v
D)-8n-5v

23)what is the simplified form of the following expression
6xyz/2xz

A)3
B)3y
C)3xyz
D)3x^2yz^2

24)The temperature at the end of the day was 64 degrees the temperature had increased twice during the day once by 8 degrees and another time by 4 what expression shows what the temperature was at the start of the day

A)64-8-4
B)64+8-4
C)64-8+4
D)78+5+7

27) A gym membership costs $25 to join and $14 each month write and use an algebraic expression to find the cost of the gym membership for 6 months

28)Which statement about the product is true 4.56 x 4.3

A)The product is rational
B)The product is irrational
C)The product is neither rational nor irrational
D)The nature of this product cannot be determined

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5) The answer is D) commutative property of addition. The equation shows that the order of addition does not affect the result.

12) The answer is B) 3/2z. The word phrase "the quotient of 3 and z" translates to the algebraic expression 3/z, which can be simplified to 3/2z.

15) The answer is D) Associative property of addition. The equation shows that the grouping of terms does not affect the result of addition.

19) The answer is A) the product of 4 and a number z. The algebraic expression 4z represents the multiplication of 4 and z.

21) The answer is D) -8n-5v. The negative sign is distributed to both terms inside the parentheses, resulting in -8n-5v.

23) The answer is C) 3xyz. The expression 6xyz/2xz simplifies to 3yz.

24) The answer is B) 64+8-4. The temperature at the start of the day can be found by subtracting the increases from the end temperature.

27) The algebraic expression for the cost of the gym membership for 6 months is 25 + (14 * 6).

28) The answer is A) The product is rational. When multiplying two rational numbers, the result is always rational.

5) The property illustrated by the statement 3z+4=4+3z is the commutative property of addition. This property states that changing the order of the terms in addition does not change the sum. In this case, swapping the positions of 3z and 4 results in the same equation.

12) The algebraic expression for the word phrase "the quotient of 3 and z" is B) 3/2z. The word "quotient" indicates division, so we represent it with the division symbol (/). In this case, we have 3 divided by z, which is written as 3/z. To simplify further, we can express it as 3/2z.

15) The property illustrated by the equation 6+(2x+2z) = (6+2x)+2z is the associative property of addition. This property states that the groupings of numbers being added does not affect the sum. In this case, the parentheses indicate the grouping, and regardless of which part of the expression is grouped first, the sum remains the same.

19) The word phrase that represents the algebraic expression 4z is A) "the product of 4 and a number z". The word "product" indicates multiplication, so we multiply 4 and z to get 4z.

21) The simplified form of the expression -(8n-5v) is D) -8n-5v. This can be simplified by distributing the negative sign to both terms inside the parentheses. This gives us -8n + 5v.

23) The simplified form of the expression 6xyz/2xz is B) 3y. This can be simplified by canceling out common factors. In this case, the common factor is 2xz, which appears in both the numerator and denominator. Cancelling out this common factor leaves us with 6y / 2 = 3y.

24) The expression that shows the temperature at the start of the day is C) 64-8+4. Since the temperature increased twice during the day, we need to subtract the increases from the final temperature of 64 degrees. The increases were 8 degrees and 4 degrees, so we subtract those from 64.

27) The algebraic expression to find the cost of the gym membership for 6 months would be 25 + 6 * 14. The membership costs $25 to join, and then there is a monthly fee of $14. To find the cost for 6 months, we multiply the monthly fee by 6 and add it to the initial joining cost.

28) The statement about the product 4.56 x 4.3 is A) The product is rational. The product of two rational numbers is always rational. 4.56 and 4.3 are both rational numbers, so their product will also be rational.

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