6th Grade Math Flashcards: Solve One Step Equations

What this deck covers

This deck focuses on Solve One Step Equations, giving you a quick way to review the definitions, rules, and examples that matter most for 6th Grade Math.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: What is $x$ in the equation $x + \frac{3}{4} = 5$?

Answer: $x = \frac{17}{4}$. Subtract $\frac{3}{4}$: $5 - \frac{3}{4} = \frac{20}{4} - \frac{3}{4} = \frac{17}{4}$.

Flashcard 2: What is $x$ in the equation $x + 7 = 19$?

Answer: $x = 12$. Subtract $7$ from both sides: $19 - 7 = 12$.

Flashcard 3: What is $x$ if you split $18$ dollars equally among $6$ people ($6x = 18$)?

Answer: $x = 3$. Divide total dollars by number of people: $18 \div 6 = 3$.

Flashcard 4: What is $x$ if $\frac{2}{3}x = 10$?

Answer: $x = 15$. Multiply both sides by $\frac{3}{2}$: $10 \times \frac{3}{2} = 15$.

Flashcard 5: What is $x$ if $x + 9.4 = 10$?

Answer: $x = 0.6$. Subtract 9.4 from both sides: $10 - 9.4 = 0.6$.

Flashcard 6: What operation isolates $x$ in an equation of the form $x + p = q$?

Answer: Subtract $p$ from both sides. This inverse operation cancels the addition to isolate $x$.

Flashcard 7: What is the solution for $x$ in $px = q$ written in terms of $p$ and $q$ (with $p>0$)?

Answer: $x = \frac{q}{p}$. Dividing both sides by $p$ isolates $x$.

Flashcard 8: What is $x$ if $3$ identical tickets cost $18, so $3x = 18$?

Answer: $x = 6$. Each ticket costs \18 ÷ 3 = $6$.

Flashcard 9: What equation matches: "A number multiplied by $5$ equals $30$"?

Answer: $5x = 30$. "Multiplied by" translates to multiplication.

Flashcard 10: What operation isolates $x$ in $x + p = q$?

Answer: Subtract $p$ from both sides. Subtraction undoes addition to isolate $x$.

Flashcard 11: What is the solution for $x$ in the equation $px = q$ when $p > 0$?

Answer: $x = \frac{q}{p}$. Divide both sides by $p$ to isolate $x$.

Flashcard 12: Identify the value of $x$ that makes $\frac{1}{4}x = 0$ true.

Answer: $x = 0$. Any number times $0$ equals $0$.

Flashcard 13: What equation matches: "A number increased by $9$ is $20$"?

Answer: $x + 9 = 20$. "Increased by" means addition in algebraic form.

Flashcard 14: What is the solution for $x$ in $x + p = q$ written in terms of $p$ and $q$?

Answer: $x = q - p$. Subtracting $p$ from both sides gives the solution.

Flashcard 15: What equation models: "A number increased by $8$ is $20$" using $x$ for the number?

Answer: $x + 8 = 20$. "Increased by" means addition in algebraic expressions.

Flashcard 16: What is the solution for $x$ in the equation $x + p = q$?

Answer: $x = q - p$. Subtract $p$ from both sides to isolate $x$.

Flashcard 17: What is $x$ if a book costs $12 and you have $5 already saved, so $x + 5 = 12$?

Answer: $x = 7$. Need $7 more: $12 - 5 = 7$.

Flashcard 18: What is $x$ if "A number increased by $2.5$ is $10$"?

Answer: $x = 7.5$. Set up $x + 2.5 = 10$, then subtract $2.5$.

Flashcard 19: What is $x$ if $4x = 20$?

Answer: $x = 5$. Divide both sides by 4: $20 ÷ 4 = 5$.

Flashcard 20: Identify the value of $x$ that makes $x + 2.5 = 2.5$ true.

Answer: $x = 0$. Adding $0$ to $2.5$ gives $2.5$.

Flashcard 21: What is $x$ if $x + \frac{3}{4} = 5$?

Answer: $x = \frac{17}{4}$. Subtract $\frac{3}{4}$ from $5$: $\frac{20}{4} - \frac{3}{4} = \frac{17}{4}$.

Flashcard 22: What is $x$ if $8x = 2$?

Answer: $x = \frac{1}{4}$. Divide both sides by $8$: $2 \div 8 = \frac{1}{4}$.

Flashcard 23: What is $x$ in the equation $x + \frac{2}{5} = \frac{9}{5}$?

Answer: $x = \frac{7}{5}$. Subtract $\frac{2}{5}$: $\frac{9}{5} - \frac{2}{5} = \frac{7}{5}$.

Flashcard 24: What equation models: "$\frac{3}{5}$ of a number is $12$" using $x$ for the number?

Answer: $\frac{3}{5}x = 12$. "Of" means multiplication when dealing with fractions.

Flashcard 25: What is the equation for: a number $x$ plus $5$ equals $13$?

Answer: $x + 5 = 13$. Translate words to algebraic form with addition.

Flashcard 26: What is $x$ in the equation $4x = 28$?

Answer: $x = 7$. Divide both sides by $4$: $28 ÷ 4 = 7$.

Flashcard 27: What operation isolates $x$ in $px = q$ when $p \neq 0$?

Answer: Divide both sides by $p$. Division undoes multiplication to isolate $x$.

Flashcard 28: What operation isolates $x$ in an equation of the form $px = q$ (with $p>0$)?

Answer: Divide both sides by $p$. Division is the inverse of multiplication, isolating $x$.

Flashcard 29: What is $x$ in the equation $\frac{2}{3}x = \frac{10}{3}$?

Answer: $x = 5$. Multiply by $\frac{3}{2}$: $\frac{10}{3} × \frac{3}{2} = 5$.

Flashcard 30: What is $x$ if "A number multiplied by $\frac{1}{4}$ equals $3$"?

Answer: $x = 12$. Set up $\frac{1}{4}x = 3$, then multiply by $4$.

Flashcard 31: What is the equation for: $8$ times a number $x$ equals $36$?

Answer: $8x = 36$. Translate words to algebraic form with multiplication.

Flashcard 32: What is $x$ if $4x = 28$?

Answer: $x = 7$. Divide both sides by $4$: $28 \div 4 = 7$.

Flashcard 33: What is $x$ in the equation $\frac{3}{4}x = 9$?

Answer: $x = 12$. Multiply both sides by $\frac{4}{3}$: $9 × \frac{4}{3} = 12$.

Flashcard 34: What is $x$ in the equation $0.5x = 6$?

Answer: $x = 12$. Divide both sides by $0.5$: $6 ÷ 0.5 = 12$.

Flashcard 35: What is $x$ in the equation $x + 0.6 = 2.1$?

Answer: $x = 1.5$. Subtract $0.6$ from both sides: $2.1 - 0.6 = 1.5$.

Flashcard 36: What equation models: "A number plus $\frac{1}{2}$ equals $3$" using $x$ for the number?

Answer: $x + \frac{1}{2} = 3$. "Plus" translates directly to addition in equations.

Flashcard 37: What is $x$ if a $12$ mile trip has $3$ miles left ($x + 3 = 12$)?

Answer: $x = 9$. Miles traveled plus miles left equals total: $12 - 3 = 9$.

Flashcard 38: What is the unknown in $x + p = q$ meant to represent in a word problem?

Answer: The missing quantity (the value to find). The variable represents what we're solving for.

Flashcard 39: What is $x$ if $x + 0.6 = 2.1$?

Answer: $x = 1.5$. Subtract 0.6 from both sides: $2.1 - 0.6 = 1.5$.

Flashcard 40: Identify $x$ in the equation $x + p = q$ when $p = 0$ and $q = 8$.

Answer: $x = 8$. When $p = 0$, the equation becomes $x + 0 = 8$.

Flashcard 41: What is the value of $q$ if $px = q$, $p = 6$, and $x = 2$?

Answer: $q = 12$. Multiply $p$ and $x$: $6 \times 2 = 12$.

Flashcard 42: What equation models: "$6$ times a number is $42$" using $x$ for the number?

Answer: $6x = 42$. "Times" indicates multiplication in algebraic form.

Flashcard 43: What is $x$ if $x + 7 = 19$?

Answer: $x = 12$. Subtract 7 from both sides: $19 - 7 = 12$.

Flashcard 44: What is $x$ if $0.25x = 3$?

Answer: $x = 12$. Divide both sides by 0.25: $3 ÷ 0.25 = 12$.

Flashcard 45: What is $x$ if $0.5x = 6$?

Answer: $x = 12$. Divide both sides by $0.5$: $6 \div 0.5 = 12$.

Flashcard 46: What is the value of $q$ if $x + 3 = q$ and $x = 5$?

Answer: $q = 8$. Substitute $x = 5$ into the equation: $5 + 3 = 8$.