Equivalent Expressions - SAT Math
Card 1 of 28
What is the simplified form of $2x + 3x$?
What is the simplified form of $2x + 3x$?
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$5x$. Combine like terms by adding coefficients.
$5x$. Combine like terms by adding coefficients.
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Which expression is equivalent to $4(a + 2)$?
Which expression is equivalent to $4(a + 2)$?
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$4a + 8$. Distribute 4 to both terms inside parentheses.
$4a + 8$. Distribute 4 to both terms inside parentheses.
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What is the simplified form of $3(x + 4) + 2x$?
What is the simplified form of $3(x + 4) + 2x$?
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$5x + 12$. Distribute 3, then combine like terms.
$5x + 12$. Distribute 3, then combine like terms.
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What is the simplified expression for $7x - (2x + 3)$?
What is the simplified expression for $7x - (2x + 3)$?
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$5x - 3$. Distribute negative sign, then combine like terms.
$5x - 3$. Distribute negative sign, then combine like terms.
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What is the inverse property of multiplication?
What is the inverse property of multiplication?
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$a \times \frac{1}{a} = 1$ for $a \neq 0$. Multiplying by reciprocal gives 1.
$a \times \frac{1}{a} = 1$ for $a \neq 0$. Multiplying by reciprocal gives 1.
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What is the identity property of multiplication?
What is the identity property of multiplication?
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$a \times 1 = a$. Multiplying by 1 doesn't change the value.
$a \times 1 = a$. Multiplying by 1 doesn't change the value.
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Simplify the expression: $4(y - 3) + 2y$.
Simplify the expression: $4(y - 3) + 2y$.
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$6y - 12$. Distribute 4, then combine like terms.
$6y - 12$. Distribute 4, then combine like terms.
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What is the simplified form of $2x + 3(x - 1)$?
What is the simplified form of $2x + 3(x - 1)$?
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$5x - 3$. Distribute 3, then combine like terms.
$5x - 3$. Distribute 3, then combine like terms.
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What is the result of $5(2x - 1) - 3x$?
What is the result of $5(2x - 1) - 3x$?
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$7x - 5$. Distribute 5, then combine like terms.
$7x - 5$. Distribute 5, then combine like terms.
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Which expression is equivalent to $-3(x - 2) + 4x$?
Which expression is equivalent to $-3(x - 2) + 4x$?
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$x + 6$. Distribute -3, then combine like terms.
$x + 6$. Distribute -3, then combine like terms.
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What is the simplified form of $3(x + 2) - x$?
What is the simplified form of $3(x + 2) - x$?
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$2x + 6$. Distribute 3, then combine like terms.
$2x + 6$. Distribute 3, then combine like terms.
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Simplify: $2(3a + 4) - 5a$.
Simplify: $2(3a + 4) - 5a$.
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$a + 8$. Distribute 2, then combine like terms.
$a + 8$. Distribute 2, then combine like terms.
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Which expression is equivalent to $2(x + 4) + 3$?
Which expression is equivalent to $2(x + 4) + 3$?
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$2x + 11$. Distribute 2, then add 3.
$2x + 11$. Distribute 2, then add 3.
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What is the associative property of addition?
What is the associative property of addition?
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$(a + b) + c = a + (b + c)$. Grouping doesn't change the sum.
$(a + b) + c = a + (b + c)$. Grouping doesn't change the sum.
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Which expression is equivalent to $x(x - 3) + x$?
Which expression is equivalent to $x(x - 3) + x$?
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$x^2 - 2x$. Distribute $x$, then combine like terms.
$x^2 - 2x$. Distribute $x$, then combine like terms.
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What is the commutative property of multiplication?
What is the commutative property of multiplication?
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$ab = ba$. Order doesn't matter in multiplication.
$ab = ba$. Order doesn't matter in multiplication.
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Simplify the expression: $2(3x - 4) + 5x$.
Simplify the expression: $2(3x - 4) + 5x$.
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$11x - 8$. Distribute 2, then combine like terms.
$11x - 8$. Distribute 2, then combine like terms.
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Simplify: $3(x + 2) - 4(x - 1)$.
Simplify: $3(x + 2) - 4(x - 1)$.
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$-x + 10$. Distribute both terms, then combine like terms.
$-x + 10$. Distribute both terms, then combine like terms.
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Which expression is equivalent to $8 - (2x - 3)$?
Which expression is equivalent to $8 - (2x - 3)$?
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$11 - 2x$. Distribute negative sign, then combine like terms.
$11 - 2x$. Distribute negative sign, then combine like terms.
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State the distributive property formula.
State the distributive property formula.
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$a(b + c) = ab + ac$. Multiplying distributes over addition inside parentheses.
$a(b + c) = ab + ac$. Multiplying distributes over addition inside parentheses.
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Identify the like terms in $7x^2 + 3x - 2x^2 + 4$.
Identify the like terms in $7x^2 + 3x - 2x^2 + 4$.
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$7x^2$ and $-2x^2$. Like terms have the same variable and exponent.
$7x^2$ and $-2x^2$. Like terms have the same variable and exponent.
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Simplify: $5y - 3 + 2y + 7$.
Simplify: $5y - 3 + 2y + 7$.
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$7y + 4$. Group like terms and combine coefficients.
$7y + 4$. Group like terms and combine coefficients.
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What is the simplified form of $6 - 2(3 - x)$?
What is the simplified form of $6 - 2(3 - x)$?
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$2x$. Distribute -2, then combine like terms.
$2x$. Distribute -2, then combine like terms.
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Simplify the expression: $2(x + 5) - 3x$.
Simplify the expression: $2(x + 5) - 3x$.
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$-x + 10$. Distribute 2, then combine like terms.
$-x + 10$. Distribute 2, then combine like terms.
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Simplify: $6 - (3x + 2) + 4x$.
Simplify: $6 - (3x + 2) + 4x$.
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$x + 4$. Distribute negative, then combine like terms.
$x + 4$. Distribute negative, then combine like terms.
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Simplify: $-4(a - 2) + 3a$.
Simplify: $-4(a - 2) + 3a$.
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$-a + 8$. Distribute -4, then combine like terms.
$-a + 8$. Distribute -4, then combine like terms.
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What is the identity property of addition?
What is the identity property of addition?
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$a + 0 = a$. Adding zero doesn't change the value.
$a + 0 = a$. Adding zero doesn't change the value.
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Which expression is the simplest form of $5x - 3x + 2$?
Which expression is the simplest form of $5x - 3x + 2$?
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$2x + 2$. Combine like terms by adding coefficients.
$2x + 2$. Combine like terms by adding coefficients.
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