Rewrite Expressions in Different Forms - 7th Grade Math
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What is the equivalent expression for “$25%$ of $m$”?
What is the equivalent expression for “$25%$ of $m$”?
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$0.25m$. $25% = 0.25$, so $25%$ of $m$ is $0.25m$.
$0.25m$. $25% = 0.25$, so $25%$ of $m$ is $0.25m$.
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What is an equivalent expression for “$3$ more than $5$ times $p$”?
What is an equivalent expression for “$3$ more than $5$ times $p$”?
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$5p + 3$. "$5$ times $p$" is $5p$, then add $3$.
$5p + 3$. "$5$ times $p$" is $5p$, then add $3$.
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Find and correct the expression for “decrease $a$ by $9%$”: $a + 0.09a$.
Find and correct the expression for “decrease $a$ by $9%$”: $a + 0.09a$.
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$a - 0.09a$. To decrease, subtract the percent: $a - 0.09a$.
$a - 0.09a$. To decrease, subtract the percent: $a - 0.09a$.
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What is the equivalent expression for “$\frac{3}{5}$ of $y$”?
What is the equivalent expression for “$\frac{3}{5}$ of $y$”?
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$\frac{3}{5}y$. "Of" means multiply: $\frac{3}{5} \times y = \frac{3}{5}y$.
$\frac{3}{5}y$. "Of" means multiply: $\frac{3}{5} \times y = \frac{3}{5}y$.
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What is the equivalent expression for $15%$ of $x$ added to $x$?
What is the equivalent expression for $15%$ of $x$ added to $x$?
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$1.15x$. $15%$ of $x$ is $0.15x$, plus $x$ gives $1.15x$.
$1.15x$. $15%$ of $x$ is $0.15x$, plus $x$ gives $1.15x$.
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What is the equivalent form of $x + 0.3x$ as a single term?
What is the equivalent form of $x + 0.3x$ as a single term?
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$1.3x$. Factor out $x$: $x(1 + 0.3) = x(1.3) = 1.3x$.
$1.3x$. Factor out $x$: $x(1 + 0.3) = x(1.3) = 1.3x$.
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What is the simplified form of $0.2x + 0.8x$?
What is the simplified form of $0.2x + 0.8x$?
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$x$. Combine coefficients: $0.2 + 0.8 = 1$, so $1x = x$.
$x$. Combine coefficients: $0.2 + 0.8 = 1$, so $1x = x$.
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What multiplier represents an increase of $5%$?
What multiplier represents an increase of $5%$?
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$1.05$. To increase by $5%$, multiply by $1 + 0.05 = 1.05$.
$1.05$. To increase by $5%$, multiply by $1 + 0.05 = 1.05$.
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What is the simplified form of $a + 0.05a$?
What is the simplified form of $a + 0.05a$?
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$1.05a$. Factor out $a$: $a(1 + 0.05) = a(1.05) = 1.05a$.
$1.05a$. Factor out $a$: $a(1 + 0.05) = a(1.05) = 1.05a$.
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What multiplier represents a decrease of $12%$?
What multiplier represents a decrease of $12%$?
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$0.88$. To decrease by $12%$, multiply by $1 - 0.12 = 0.88$.
$0.88$. To decrease by $12%$, multiply by $1 - 0.12 = 0.88$.
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What percent change is represented by multiplying by $1.18$?
What percent change is represented by multiplying by $1.18$?
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Increase by $18%$. Multiplying by $1.18 = 1 + 0.18$ means adding $18%$.
Increase by $18%$. Multiplying by $1.18 = 1 + 0.18$ means adding $18%$.
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What percent change is represented by multiplying by $0.73$?
What percent change is represented by multiplying by $0.73$?
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Decrease by $27%$. Multiplying by $0.73 = 1 - 0.27$ means subtracting $27%$.
Decrease by $27%$. Multiplying by $0.73 = 1 - 0.27$ means subtracting $27%$.
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What expression represents “increase $x$ by $20%$” in one term?
What expression represents “increase $x$ by $20%$” in one term?
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$1.2x$. Increasing by $20%$ means multiplying by $1.2$.
$1.2x$. Increasing by $20%$ means multiplying by $1.2$.
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What expression represents “decrease $x$ by $35%$” in one term?
What expression represents “decrease $x$ by $35%$” in one term?
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$0.65x$. Decreasing by $35%$ means multiplying by $1 - 0.35 = 0.65$.
$0.65x$. Decreasing by $35%$ means multiplying by $1 - 0.35 = 0.65$.
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What is the factored form of $12x + 18$ using the GCF?
What is the factored form of $12x + 18$ using the GCF?
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$6(2x + 3)$. The GCF of $12$ and $18$ is $6$, so factor it out.
$6(2x + 3)$. The GCF of $12$ and $18$ is $6$, so factor it out.
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What is the expanded form of $4(2x - 5)$?
What is the expanded form of $4(2x - 5)$?
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$8x - 20$. Distribute $4$ to each term: $4(2x) - 4(5) = 8x - 20$.
$8x - 20$. Distribute $4$ to each term: $4(2x) - 4(5) = 8x - 20$.
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What is the simplified form of $3x + 7x - 2$?
What is the simplified form of $3x + 7x - 2$?
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$10x - 2$. Combine like terms: $3x + 7x = 10x$.
$10x - 2$. Combine like terms: $3x + 7x = 10x$.
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What is the simplified form of $5(x + 3) - 2(x - 1)$?
What is the simplified form of $5(x + 3) - 2(x - 1)$?
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$3x + 17$. Expand both: $5x + 15 - 2x + 2 = 3x + 17$.
$3x + 17$. Expand both: $5x + 15 - 2x + 2 = 3x + 17$.
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What is the simplified form of $\frac{1}{4}x + \frac{3}{4}x$?
What is the simplified form of $\frac{1}{4}x + \frac{3}{4}x$?
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$x$. Add fractions with same denominator: $\frac{1+3}{4}x = \frac{4}{4}x = x$.
$x$. Add fractions with same denominator: $\frac{1+3}{4}x = \frac{4}{4}x = x$.
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What is an equivalent expression for “$7$ less than twice $n$”?
What is an equivalent expression for “$7$ less than twice $n$”?
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$2n - 7$. "Twice $n$" is $2n$, then subtract $7$.
$2n - 7$. "Twice $n$" is $2n$, then subtract $7$.
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What expression is equivalent to “$p$ percent of $a$” using decimals?
What expression is equivalent to “$p$ percent of $a$” using decimals?
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$\left(\frac{p}{100}\right)a$. Convert percent to decimal by dividing by $100$.
$\left(\frac{p}{100}\right)a$. Convert percent to decimal by dividing by $100$.
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What multiplier represents an increase of $5%$ of an amount $a$?
What multiplier represents an increase of $5%$ of an amount $a$?
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$1.05$. To increase by $5%$, multiply by $1 + 0.05 = 1.05$.
$1.05$. To increase by $5%$, multiply by $1 + 0.05 = 1.05$.
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What is the expanded form of $5(2x - 3)$?
What is the expanded form of $5(2x - 3)$?
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$10x - 15$. Distribute $5$ to each term inside the parentheses.
$10x - 15$. Distribute $5$ to each term inside the parentheses.
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What is the factored form of $6x + 9$ using the GCF?
What is the factored form of $6x + 9$ using the GCF?
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$3(2x + 3)$. Factor out the GCF of $3$ from both terms.
$3(2x + 3)$. Factor out the GCF of $3$ from both terms.
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What is the simplified form of $\left(1 + \frac{3}{10}\right)x$?
What is the simplified form of $\left(1 + \frac{3}{10}\right)x$?
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$\frac{13}{10}x$. Convert to improper fraction: $1 + \frac{3}{10} = \frac{13}{10}$.
$\frac{13}{10}x$. Convert to improper fraction: $1 + \frac{3}{10} = \frac{13}{10}$.
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