Solve One-Step Equations - 6th Grade Math
Card 1 of 25
What is $x$ if $0.25x = 3$?
What is $x$ if $0.25x = 3$?
Tap to reveal answer
$x = 12$. Divide both sides by 0.25: $3 ÷ 0.25 = 12$.
$x = 12$. Divide both sides by 0.25: $3 ÷ 0.25 = 12$.
← Didn't Know|Knew It →
Identify the value of $x$ that makes $x + 2.5 = 2.5$ true.
Identify the value of $x$ that makes $x + 2.5 = 2.5$ true.
Tap to reveal answer
$x = 0$. Adding $0$ to $2.5$ gives $2.5$.
$x = 0$. Adding $0$ to $2.5$ gives $2.5$.
← Didn't Know|Knew It →
What is $x$ if a book costs $\$12$ and you have $$5$ already saved, so $x + 5 = 12$?
What is $x$ if a book costs $\$12$ and you have $$5$ already saved, so $x + 5 = 12$?
Tap to reveal answer
$x = 7$. Need $\$7$ more: $12 - 5 = 7$.
$x = 7$. Need $\$7$ more: $12 - 5 = 7$.
← Didn't Know|Knew It →
What is $x$ if $3$ identical tickets cost $\$18$, so $3x = 18$?
What is $x$ if $3$ identical tickets cost $\$18$, so $3x = 18$?
Tap to reveal answer
$x = 6$. Each ticket costs $\$18 ÷ 3 = $6$.
$x = 6$. Each ticket costs $\$18 ÷ 3 = $6$.
← Didn't Know|Knew It →
Identify the value of $x$ that makes $\frac{1}{4}x = 0$ true.
Identify the value of $x$ that makes $\frac{1}{4}x = 0$ true.
Tap to reveal answer
$x = 0$. Any number times $0$ equals $0$.
$x = 0$. Any number times $0$ equals $0$.
← Didn't Know|Knew It →
What operation isolates $x$ in an equation of the form $x + p = q$?
What operation isolates $x$ in an equation of the form $x + p = q$?
Tap to reveal answer
Subtract $p$ from both sides. This inverse operation cancels the addition to isolate $x$.
Subtract $p$ from both sides. This inverse operation cancels the addition to isolate $x$.
← Didn't Know|Knew It →
What is $x$ in the equation $0.5x = 6$?
What is $x$ in the equation $0.5x = 6$?
Tap to reveal answer
$x = 12$. Divide both sides by $0.5$: $6 ÷ 0.5 = 12$.
$x = 12$. Divide both sides by $0.5$: $6 ÷ 0.5 = 12$.
← Didn't Know|Knew It →
What is $x$ in the equation $4x = 28$?
What is $x$ in the equation $4x = 28$?
Tap to reveal answer
$x = 7$. Divide both sides by $4$: $28 ÷ 4 = 7$.
$x = 7$. Divide both sides by $4$: $28 ÷ 4 = 7$.
← Didn't Know|Knew It →
What is $x$ in the equation $x + \frac{2}{5} = \frac{9}{5}$?
What is $x$ in the equation $x + \frac{2}{5} = \frac{9}{5}$?
Tap to reveal answer
$x = \frac{7}{5}$. Subtract $\frac{2}{5}$: $\frac{9}{5} - \frac{2}{5} = \frac{7}{5}$.
$x = \frac{7}{5}$. Subtract $\frac{2}{5}$: $\frac{9}{5} - \frac{2}{5} = \frac{7}{5}$.
← Didn't Know|Knew It →
What is $x$ in the equation $x + 0.6 = 2.1$?
What is $x$ in the equation $x + 0.6 = 2.1$?
Tap to reveal answer
$x = 1.5$. Subtract $0.6$ from both sides: $2.1 - 0.6 = 1.5$.
$x = 1.5$. Subtract $0.6$ from both sides: $2.1 - 0.6 = 1.5$.
← Didn't Know|Knew It →
What is $x$ in the equation $x + \frac{3}{4} = 5$?
What is $x$ in the equation $x + \frac{3}{4} = 5$?
Tap to reveal answer
$x = \frac{17}{4}$. Subtract $\frac{3}{4}$: $5 - \frac{3}{4} = \frac{20}{4} - \frac{3}{4} = \frac{17}{4}$.
$x = \frac{17}{4}$. Subtract $\frac{3}{4}$: $5 - \frac{3}{4} = \frac{20}{4} - \frac{3}{4} = \frac{17}{4}$.
← Didn't Know|Knew It →
What is $x$ in the equation $x + 7 = 19$?
What is $x$ in the equation $x + 7 = 19$?
Tap to reveal answer
$x = 12$. Subtract $7$ from both sides: $19 - 7 = 12$.
$x = 12$. Subtract $7$ from both sides: $19 - 7 = 12$.
← Didn't Know|Knew It →
What is the solution for $x$ in $px = q$ written in terms of $p$ and $q$ (with $p>0$)?
What is the solution for $x$ in $px = q$ written in terms of $p$ and $q$ (with $p>0$)?
Tap to reveal answer
$x = \frac{q}{p}$. Dividing both sides by $p$ isolates $x$.
$x = \frac{q}{p}$. Dividing both sides by $p$ isolates $x$.
← Didn't Know|Knew It →
What is the solution for $x$ in $x + p = q$ written in terms of $p$ and $q$?
What is the solution for $x$ in $x + p = q$ written in terms of $p$ and $q$?
Tap to reveal answer
$x = q - p$. Subtracting $p$ from both sides gives the solution.
$x = q - p$. Subtracting $p$ from both sides gives the solution.
← Didn't Know|Knew It →
What operation isolates $x$ in an equation of the form $px = q$ (with $p>0$)?
What operation isolates $x$ in an equation of the form $px = q$ (with $p>0$)?
Tap to reveal answer
Divide both sides by $p$. Division is the inverse of multiplication, isolating $x$.
Divide both sides by $p$. Division is the inverse of multiplication, isolating $x$.
← Didn't Know|Knew It →
What is $x$ in the equation $\frac{3}{4}x = 9$?
What is $x$ in the equation $\frac{3}{4}x = 9$?
Tap to reveal answer
$x = 12$. Multiply both sides by $\frac{4}{3}$: $9 × \frac{4}{3} = 12$.
$x = 12$. Multiply both sides by $\frac{4}{3}$: $9 × \frac{4}{3} = 12$.
← Didn't Know|Knew It →
What equation models: “$\frac{3}{5}$ of a number is $12$” using $x$ for the number?
What equation models: “$\frac{3}{5}$ of a number is $12$” using $x$ for the number?
Tap to reveal answer
$\frac{3}{5}x = 12$. "Of" means multiplication when dealing with fractions.
$\frac{3}{5}x = 12$. "Of" means multiplication when dealing with fractions.
← Didn't Know|Knew It →
What equation models: “$6$ times a number is $42$” using $x$ for the number?
What equation models: “$6$ times a number is $42$” using $x$ for the number?
Tap to reveal answer
$6x = 42$. "Times" indicates multiplication in algebraic form.
$6x = 42$. "Times" indicates multiplication in algebraic form.
← Didn't Know|Knew It →
What equation models: “A number plus $\frac{1}{2}$ equals $3$” using $x$ for the number?
What equation models: “A number plus $\frac{1}{2}$ equals $3$” using $x$ for the number?
Tap to reveal answer
$x + \frac{1}{2} = 3$. "Plus" translates directly to addition in equations.
$x + \frac{1}{2} = 3$. "Plus" translates directly to addition in equations.
← Didn't Know|Knew It →
What equation models: “A number increased by $8$ is $20$” using $x$ for the number?
What equation models: “A number increased by $8$ is $20$” using $x$ for the number?
Tap to reveal answer
$x + 8 = 20$. "Increased by" means addition in algebraic expressions.
$x + 8 = 20$. "Increased by" means addition in algebraic expressions.
← Didn't Know|Knew It →
What is $x$ in the equation $\frac{2}{3}x = \frac{10}{3}$?
What is $x$ in the equation $\frac{2}{3}x = \frac{10}{3}$?
Tap to reveal answer
$x = 5$. Multiply by $\frac{3}{2}$: $\frac{10}{3} × \frac{3}{2} = 5$.
$x = 5$. Multiply by $\frac{3}{2}$: $\frac{10}{3} × \frac{3}{2} = 5$.
← Didn't Know|Knew It →
What is $x$ if $x + 0.6 = 2.1$?
What is $x$ if $x + 0.6 = 2.1$?
Tap to reveal answer
$x = 1.5$. Subtract 0.6 from both sides: $2.1 - 0.6 = 1.5$.
$x = 1.5$. Subtract 0.6 from both sides: $2.1 - 0.6 = 1.5$.
← Didn't Know|Knew It →
What is the equation for: $8$ times a number $x$ equals $36$?
What is the equation for: $8$ times a number $x$ equals $36$?
Tap to reveal answer
$8x = 36$. Translate words to algebraic form with multiplication.
$8x = 36$. Translate words to algebraic form with multiplication.
← Didn't Know|Knew It →
What is the equation for: a number $x$ plus $5$ equals $13$?
What is the equation for: a number $x$ plus $5$ equals $13$?
Tap to reveal answer
$x + 5 = 13$. Translate words to algebraic form with addition.
$x + 5 = 13$. Translate words to algebraic form with addition.
← Didn't Know|Knew It →
What is $x$ if $x + 9.4 = 10$?
What is $x$ if $x + 9.4 = 10$?
Tap to reveal answer
$x = 0.6$. Subtract 9.4 from both sides: $10 - 9.4 = 0.6$.
$x = 0.6$. Subtract 9.4 from both sides: $10 - 9.4 = 0.6$.
← Didn't Know|Knew It →