Generate Equivalent Expressions - 6th Grade Math
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What property lets you rewrite $a+b$ as $b+a$?
What property lets you rewrite $a+b$ as $b+a$?
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Commutative property of addition. Order doesn't matter when adding numbers.
Commutative property of addition. Order doesn't matter when adding numbers.
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What is the greatest common factor of $24x+18y$ as a single factor?
What is the greatest common factor of $24x+18y$ as a single factor?
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$6$. Both $24$ and $18$ are divisible by $6$.
$6$. Both $24$ and $18$ are divisible by $6$.
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What is the factored form of $24x+18y$ using the GCF?
What is the factored form of $24x+18y$ using the GCF?
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$6(4x+3y)$. Factor out $6$: $24x÷6=4x$ and $18y÷6=3y$.
$6(4x+3y)$. Factor out $6$: $24x÷6=4x$ and $18y÷6=3y$.
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What is the factored form of $12a-8$ using the greatest common factor?
What is the factored form of $12a-8$ using the greatest common factor?
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$4(3a-2)$. Factor out $4$: $12a÷4=3a$ and $8÷4=2$.
$4(3a-2)$. Factor out $4$: $12a÷4=3a$ and $8÷4=2$.
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What is the factored form of $9m+6n$ using the greatest common factor?
What is the factored form of $9m+6n$ using the greatest common factor?
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$3(3m+2n)$. Factor out $3$: $9m÷3=3m$ and $6n÷3=2n$.
$3(3m+2n)$. Factor out $3$: $9m÷3=3m$ and $6n÷3=2n$.
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What is the equivalent expression for $y+y+y$ written as a product?
What is the equivalent expression for $y+y+y$ written as a product?
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$3y$. Three $y$'s added equals $3$ times $y$.
$3y$. Three $y$'s added equals $3$ times $y$.
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What is the equivalent expression for $x+x+x+x+x$ written as a product?
What is the equivalent expression for $x+x+x+x+x$ written as a product?
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$5x$. Five $x$'s added equals $5$ times $x$.
$5x$. Five $x$'s added equals $5$ times $x$.
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What is the simplified expression for $4x+3x$ by combining like terms?
What is the simplified expression for $4x+3x$ by combining like terms?
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$7x$. Add coefficients of like terms: $4+3=7$.
$7x$. Add coefficients of like terms: $4+3=7$.
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What is the simplified expression for $2a+5+3a-1$?
What is the simplified expression for $2a+5+3a-1$?
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$5a+4$. Combine like terms: $2a+3a=5a$ and $5-1=4$.
$5a+4$. Combine like terms: $2a+3a=5a$ and $5-1=4$.
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What is the equivalent expression for $3(2+x)$ after distributing?
What is the equivalent expression for $3(2+x)$ after distributing?
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$6+3x$. Multiply 3 by each term: $3(2) + 3(x)$.
$6+3x$. Multiply 3 by each term: $3(2) + 3(x)$.
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What is the greatest common factor expression for $24x+18y$?
What is the greatest common factor expression for $24x+18y$?
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$6(4x+3y)$. Factor out GCF of 6: $6(4x) + 6(3y)$.
$6(4x+3y)$. Factor out GCF of 6: $6(4x) + 6(3y)$.
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What is the equivalent factored form of $15a-20$ using the GCF?
What is the equivalent factored form of $15a-20$ using the GCF?
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$5(3a-4)$. Factor out GCF of 5: $5(3a) + 5(-4)$.
$5(3a-4)$. Factor out GCF of 5: $5(3a) + 5(-4)$.
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What is the equivalent expression for $2(x+7)+3x$ after simplifying?
What is the equivalent expression for $2(x+7)+3x$ after simplifying?
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$5x+14$. Distribute 2, then combine: $2x + 14 + 3x$.
$5x+14$. Distribute 2, then combine: $2x + 14 + 3x$.
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What property justifies rewriting $(a+b)+c$ as $a+(b+c)$?
What property justifies rewriting $(a+b)+c$ as $a+(b+c)$?
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Associative property of addition. Grouping doesn't matter when adding numbers.
Associative property of addition. Grouping doesn't matter when adding numbers.
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What property justifies rewriting $ab$ as $ba$?
What property justifies rewriting $ab$ as $ba$?
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Commutative property of multiplication. Order doesn't matter when multiplying numbers.
Commutative property of multiplication. Order doesn't matter when multiplying numbers.
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What property justifies rewriting $a+b$ as $b+a$?
What property justifies rewriting $a+b$ as $b+a$?
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Commutative property of addition. Order doesn't matter when adding numbers.
Commutative property of addition. Order doesn't matter when adding numbers.
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What is the equivalent expression for $9+2(4-x)$ after simplifying?
What is the equivalent expression for $9+2(4-x)$ after simplifying?
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$17-2x$. Distribute 2, then combine: $9 + 8 - 2x$.
$17-2x$. Distribute 2, then combine: $9 + 8 - 2x$.
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What is the equivalent expression for $4x+3+2x-5$ after simplifying?
What is the equivalent expression for $4x+3+2x-5$ after simplifying?
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$6x-2$. Combine like terms: $(4x + 2x) + (3 - 5)$.
$6x-2$. Combine like terms: $(4x + 2x) + (3 - 5)$.
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What is the equivalent expression for $7y-2y$ after combining like terms?
What is the equivalent expression for $7y-2y$ after combining like terms?
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$5y$. Subtract coefficients of like terms: $7 - 2 = 5$.
$5y$. Subtract coefficients of like terms: $7 - 2 = 5$.
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What is the equivalent expression for $2x+3x$ after combining like terms?
What is the equivalent expression for $2x+3x$ after combining like terms?
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$5x$. Add coefficients of like terms: $2 + 3 = 5$.
$5x$. Add coefficients of like terms: $2 + 3 = 5$.
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What is the equivalent expression for $x+x+x+x+x$ using multiplication?
What is the equivalent expression for $x+x+x+x+x$ using multiplication?
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$5x$. Five copies of $x$ equals $5 imes x$.
$5x$. Five copies of $x$ equals $5 imes x$.
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What is the equivalent expression for $y+y+y$ using multiplication?
What is the equivalent expression for $y+y+y$ using multiplication?
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$3y$. Three copies of $y$ equals $3 imes y$.
$3y$. Three copies of $y$ equals $3 imes y$.
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What is the equivalent expression for $4(2x-5)$ after distributing?
What is the equivalent expression for $4(2x-5)$ after distributing?
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$8x-20$. Multiply 4 by each term: $4(2x) + 4(-5)$.
$8x-20$. Multiply 4 by each term: $4(2x) + 4(-5)$.
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What property justifies rewriting $a(b+c)$ as $ab+ac$?
What property justifies rewriting $a(b+c)$ as $ab+ac$?
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Distributive property. Multiply each term inside parentheses by the outside factor.
Distributive property. Multiply each term inside parentheses by the outside factor.
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What property justifies rewriting $(ab)c$ as $a(bc)$?
What property justifies rewriting $(ab)c$ as $a(bc)$?
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Associative property of multiplication. Grouping doesn't matter when multiplying numbers.
Associative property of multiplication. Grouping doesn't matter when multiplying numbers.
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