Multi-Step Equations - SSAT Middle Level: Quantitative
Card 1 of 24
What is $x$ in $0.2x-1=3$?
What is $x$ in $0.2x-1=3$?
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$x=20$. Add 1 to both sides to get $0.2x=4$, then divide by 0.2 or multiply by 5.
$x=20$. Add 1 to both sides to get $0.2x=4$, then divide by 0.2 or multiply by 5.
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What is $x$ in $0.5x+3=7$?
What is $x$ in $0.5x+3=7$?
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$x=8$. Subtract 3 from both sides to get $0.5x=4$, then divide by 0.5 or multiply by 2.
$x=8$. Subtract 3 from both sides to get $0.5x=4$, then divide by 0.5 or multiply by 2.
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What is $x$ in $\frac{x}{4}-\frac{1}{2}=\frac{3}{2}$?
What is $x$ in $\frac{x}{4}-\frac{1}{2}=\frac{3}{2}$?
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$x=8$. Add $\frac{1}{2}$ to both sides to get $\frac{x}{4}=2$, then multiply by 4.
$x=8$. Add $\frac{1}{2}$ to both sides to get $\frac{x}{4}=2$, then multiply by 4.
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What is $x$ in $\frac{x-5}{2}+\frac{x+1}{2}=10$?
What is $x$ in $\frac{x-5}{2}+\frac{x+1}{2}=10$?
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$x=12$. Combine fractions to get $\frac{2x-4}{2}=10$, simplify to $x-2=10$, then add 2.
$x=12$. Combine fractions to get $\frac{2x-4}{2}=10$, simplify to $x-2=10$, then add 2.
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What is $x$ in $3(x-1)=2(x+4)$?
What is $x$ in $3(x-1)=2(x+4)$?
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$x=11$. Distribute to get $3x-3=2x+8$, subtract $2x$, add 3, using properties of equality.
$x=11$. Distribute to get $3x-3=2x+8$, subtract $2x$, add 3, using properties of equality.
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What is $x$ in $9-2x=1$?
What is $x$ in $9-2x=1$?
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$x=4$. Subtract 9 from both sides to get $-2x=-8$, then divide by -2.
$x=4$. Subtract 9 from both sides to get $-2x=-8$, then divide by -2.
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What is $x$ in $2x+7=5x-8$?
What is $x$ in $2x+7=5x-8$?
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$x=5$. Add 8 to both sides and subtract $2x$ to get $15=3x$, then divide by 3.
$x=5$. Add 8 to both sides and subtract $2x$ to get $15=3x$, then divide by 3.
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What is $x$ in $4(x-2)+3=19$?
What is $x$ in $4(x-2)+3=19$?
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$x=6$. Distribute 4 to get $4x-8+3=19$, combine constants, add 5, then divide by 4.
$x=6$. Distribute 4 to get $4x-8+3=19$, combine constants, add 5, then divide by 4.
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What is $x$ in $\frac{2x-1}{3}=5$?
What is $x$ in $\frac{2x-1}{3}=5$?
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$x=8$. Multiply both sides by 3 to get $2x-1=15$, then add 1 and divide by 2.
$x=8$. Multiply both sides by 3 to get $2x-1=15$, then add 1 and divide by 2.
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What is $x$ in $\frac{1}{3}(x+6)=5$?
What is $x$ in $\frac{1}{3}(x+6)=5$?
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$x=9$. Multiply both sides by 3 to get $x+6=15$, then subtract 6.
$x=9$. Multiply both sides by 3 to get $x+6=15$, then subtract 6.
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What is $x$ in $2x-3=2x+5$?
What is $x$ in $2x-3=2x+5$?
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No solution. Subtracting $2x$ from both sides yields $-3=5$, a false statement indicating no value satisfies the equation.
No solution. Subtracting $2x$ from both sides yields $-3=5$, a false statement indicating no value satisfies the equation.
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What is $x$ in $4(x+1)=4x+4$?
What is $x$ in $4(x+1)=4x+4$?
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Infinitely many solutions. Distributing 4 yields $4x+4=4x+4$, an identity true for all real values of $x$.
Infinitely many solutions. Distributing 4 yields $4x+4=4x+4$, an identity true for all real values of $x$.
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What is $x$ in $\frac{x}{3}+2=6$?
What is $x$ in $\frac{x}{3}+2=6$?
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$x=12$. Subtract 2 from both sides to get $\frac{x}{3}=4$, then multiply by 3.
$x=12$. Subtract 2 from both sides to get $\frac{x}{3}=4$, then multiply by 3.
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What is $x$ in $7+4x=3x+19$?
What is $x$ in $7+4x=3x+19$?
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$x=12$. Subtract $3x$ from both sides and subtract 7 to isolate the variable using properties of equality.
$x=12$. Subtract $3x$ from both sides and subtract 7 to isolate the variable using properties of equality.
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What is $x$ in $5x-3=2x+12$?
What is $x$ in $5x-3=2x+12$?
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$x=5$. Subtract $2x$ from both sides and add 3 to isolate the variable term, then divide by 3.
$x=5$. Subtract $2x$ from both sides and add 3 to isolate the variable term, then divide by 3.
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What is $x$ in $2(x+4)=18$?
What is $x$ in $2(x+4)=18$?
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$x=5$. Divide both sides by 2 to get $x+4=9$, then subtract 4 using properties of equality.
$x=5$. Divide both sides by 2 to get $x+4=9$, then subtract 4 using properties of equality.
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What is $x$ in $3x+5=20$?
What is $x$ in $3x+5=20$?
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$x=5$. Subtract 5 from both sides to get $3x=15$, then divide by 3 using properties of equality.
$x=5$. Subtract 5 from both sides to get $3x=15$, then divide by 3 using properties of equality.
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What property justifies adding the same number to both sides of $x-7=12$?
What property justifies adding the same number to both sides of $x-7=12$?
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Addition Property of Equality. This property states that adding the same value to both sides of an equation preserves the equality while isolating the variable.
Addition Property of Equality. This property states that adding the same value to both sides of an equation preserves the equality while isolating the variable.
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What property justifies multiplying both sides of $\frac{x}{5}=9$ by $5$?
What property justifies multiplying both sides of $\frac{x}{5}=9$ by $5$?
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Multiplication Property of Equality. This property allows multiplying both sides by the same nonzero number to maintain equality and solve for the variable.
Multiplication Property of Equality. This property allows multiplying both sides by the same nonzero number to maintain equality and solve for the variable.
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What is the first step to solve $3x+5=20$?
What is the first step to solve $3x+5=20$?
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Subtract $5$ from both sides. Subtracting 5 from both sides isolates the term with the variable using the subtraction property of equality.
Subtract $5$ from both sides. Subtracting 5 from both sides isolates the term with the variable using the subtraction property of equality.
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What is $x$ in $3(x+2)-4=11$?
What is $x$ in $3(x+2)-4=11$?
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$x=3$. Distribute 3 to get $3x+6-4=11$, combine constants, subtract 2, then divide by 3.
$x=3$. Distribute 3 to get $3x+6-4=11$, combine constants, subtract 2, then divide by 3.
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What is $x$ in $\frac{x}{6}+\frac{1}{4}=2$?
What is $x$ in $\frac{x}{6}+\frac{1}{4}=2$?
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$x=\frac{21}{2}$. Multiply through by 12 to get $2x+3=24$, subtract 3, then divide by 2.
$x=\frac{21}{2}$. Multiply through by 12 to get $2x+3=24$, subtract 3, then divide by 2.
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What is the LCD used to clear denominators in $\frac{x}{6}+\frac{1}{4}=2$?
What is the LCD used to clear denominators in $\frac{x}{6}+\frac{1}{4}=2$?
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$12$. The least common denominator of 6 and 4 is 12, allowing multiplication through the equation to eliminate fractions.
$12$. The least common denominator of 6 and 4 is 12, allowing multiplication through the equation to eliminate fractions.
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What is $x$ in $\frac{3}{4}x+2=8$?
What is $x$ in $\frac{3}{4}x+2=8$?
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$x=8$. Subtract 2 from both sides to get $\frac{3}{4}x=6$, then multiply by $\frac{4}{3}$.
$x=8$. Subtract 2 from both sides to get $\frac{3}{4}x=6$, then multiply by $\frac{4}{3}$.
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