Name :
Score :
Teacher:
Date :
Working with the Properties of Mathematics
1) Which property is used in the following?
A. Commutative Property
C. None of the above
$7 imes(3+4)=7 imes 3+7 imes 4$
B. Associative Property
D. Distributive Property
2) Which equation shows the Commutative Property of Multiplication ?
A. $7 imes 3=7+7+7$
B. $4 imes 8-2 imes 8=(4-2) imes 7$
C. $9 imes 5=5 imes 9$
D. $6 imes 1=6$
3) Which of the following does not show the Commutative Property ?
A. $9+y=y+9$
B. $x+y=y+x$
C. $\mathrm{yx}=\mathrm{xy}$
D. $x y-4=x y$
4) Which equation shows the Identity Property of Multiplication ?
A. $\mathrm{a} imes 1$
B. $(a+b)+6=a+(6+b)$
C. $a+a+a=3 imes a$
D. $a(b+c)=a b+a c$
5) Which is an example of Associative Property of Addition?
A. $5+0=5$
B. $7+(-7)=0$
C. $8+4=4+8$
D. $(4+2)+3=4+(2+3)$
6 ) Which property would you use to simplify the following expression ? $3(y+5)$
A. Associative Property
B. Distributive Property
C
$\qquad$
$\qquad$
$\qquad$
$\qquad$
$\qquad$ .

Q: Name : Score : Teacher: Date : Working with the Properties of Mathematics 1) Which property is used in the following? A. Commutative Property C. None of the above $7 \times(3+4)=7 \times 3+7 \times 4$ B. Associative Property D. Distributive Property 2) Which equation shows the Commutative Property of Multiplication ? A. $7 \times 3=7+7+7$ B. $4 \times 8-2 \times 8=(4-2) \times 7$ C. $9 \times 5=5 \times 9$ D. $6 \times 1=6$ 3) Which of the following does not show the Commutative Property ? A. $9+y=y+9$ B. $x+y=y+x$ C. $\mathrm{yx}=\mathrm{xy}$ D. $x y-4=x y$ 4) Which equation shows the Identity Property of Multiplication ? A. $\mathrm{a} \times 1$ B. $(a+b)+6=a+(6+b)$ C. $a+a+a=3 \times a$ D. $a(b+c)=a b+a c$ 5) Which is an example of Associative Property of Addition? A. $5+0=5$ B. $7+(-7)=0$ C. $8+4=4+8$ D. $(4+2)+3=4+(2+3)$ 6 ) Which property would you use to simplify the following expression ? $3(y+5)$ A. Associative Property B. Distributive Property C $\qquad$ $\qquad$ $\qquad$ $\qquad$ $\qquad$ .

∻Solution by Steps∻ ‖ step 1 ⋮ The equation $7 \times (3 + 4) = 7 \times 3 + 7 \times 4$ demonstrates the Distributive Property, as it shows how multiplication distributes over addition. ‖ ‖ step 2 ⋮ The equation $9 \times 5 = 5 \times 9$ illustrates the Commutative Property of Multiplication, which states that changing the order of the factors does not change the product. ‖ ‖ step 3 ⋮ The equation $x y - 4 = x y$ does not demonstrate the Commutative Property, as it involves subtraction and does not change the order of addition or multiplication. ‖ ‖ step 4 ⋮ The equation $a \times 1$ shows the Identity Property of Multiplication, which states that any number multiplied by 1 remains unchanged. ‖ ‖ step 5 ⋮ The equation $(4 + 2) + 3 = 4 + (2 + 3)$ is an example of the Associative Property of Addition, which states that the way in which numbers are grouped does not change their sum. ‖ ‖ step 6 ⋮ To simplify the expression $3(y + 5)$, we would use the Distributive Property, which allows us to multiply a single term by each term inside the parentheses. ‖ ∻[1] Answer∻ ***D*** ∻[2] Answer∻ ***C*** ∻[3] Answer∻ ***D*** ∻[4] Answer∻ ***A*** ∻[5] Answer∻ ***D*** ∻[6] Answer∻ ***B*** ∻Key Concept∻ ⚹Understanding Mathematical Properties⚹ ∻Explanation∻ ⚹Mathematical properties such as Commutative, Associative, Distributive, and Identity help in simplifying and solving expressions and equations.⚹◊What is the formula for the Distributive Property expressed in algebraic terms?⍭ Generate me a similar question◊

Question

Name :
Score :
Teacher:
Date :
Working with the Properties of Mathematics
1) Which property is used in the following?
A. Commutative Property
C. None of the above
$7 	imes(3+4)=7 	imes 3+7 	imes 4$
B. Associative Property
D. Distributive Property
2) Which equation shows the Commutative Property of Multiplication ?
A. $7 	imes 3=7+7+7$
B. $4 	imes 8-2 	imes 8=(4-2) 	imes 7$
C. $9 	imes 5=5 	imes 9$
D. $6 	imes 1=6$
3) Which of the following does not show the Commutative Property ?
A. $9+y=y+9$
B. $x+y=y+x$
C. $\mathrm{yx}=\mathrm{xy}$
D. $x y-4=x y$
4) Which equation shows the Identity Property of Multiplication ?
A. $\mathrm{a} 	imes 1$
B. $(a+b)+6=a+(6+b)$
C. $a+a+a=3 	imes a$
D. $a(b+c)=a b+a c$
5) Which is an example of Associative Property of Addition?
A. $5+0=5$
B. $7+(-7)=0$
C. $8+4=4+8$
D. $(4+2)+3=4+(2+3)$
6 ) Which property would you use to simplify the following expression ? $3(y+5)$
A. Associative Property
B. Distributive Property
C
$\qquad$
$\qquad$
$\qquad$
$\qquad$
$\qquad$ .

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ The equation $7 imes (3 + 4) = 7 imes 3 + 7 imes 4$ demonstrates the Distributive Property, as it shows how multiplication distributes over addition. ‖ ‖ step 2 ⋮ The equation $9 imes 5 = 5 imes 9$ illustrates the Commutative Property of Multiplication, which states that changing the order of the factors does not change the product. ‖ ‖ step 3 ⋮ The equation $x y - 4 = x y$ does not demonstrate the Commutative Property, as it involves subtraction and does not change the order of addition or multiplication. ‖ ‖ step 4 ⋮ The equation $a imes 1$ shows the Identity Property of Multiplication, which states that any number multiplied by 1 remains unchanged. ‖ ‖ step 5 ⋮ The equation $(4 + 2) + 3 = 4 + (2 + 3)$ is an example of the Associative Property of Addition, which states that the way in which numbers are grouped does not change their sum. ‖ ‖ step 6 ⋮ To simplify the expression $3(y + 5)$, we would use the Distributive Property, which allows us to multiply a single term by each term inside the parentheses. ‖ ∻[1] Answer∻ ***D*** ∻[2] Answer∻ ***C*** ∻[3] Answer∻ ***D*** ∻[4] Answer∻ ***A*** ∻[5] Answer∻ ***D*** ∻[6] Answer∻ ***B*** ∻Key Concept∻ ⚹Understanding Mathematical Properties⚹ ∻Explanation∻ ⚹Mathematical properties such as Commutative, Associative, Distributive, and Identity help in simplifying and solving expressions and equations.⚹◊What is the formula for the Distributive Property expressed in algebraic terms?⍭ Generate me a similar question◊

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