SAT Math Flashcards: Equations With One Variable

What this deck covers

This deck focuses on Equations With One Variable, giving you a quick way to review the definitions, rules, and examples that matter most for SAT 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: Identify the inverse operation to solve $x - 5 = 10$.

Answer: Addition. Add 5 to both sides to isolate x.

Flashcard 2: Identify the inverse operation to solve $x - 5 = 10$.

Answer: Addition. Add 5 to both sides to isolate x.

Flashcard 3: What is the solution to the equation $2x + 5 = 11$?

Answer: $x = 3$. Subtract 5 from both sides, then divide by 2.

Flashcard 4: What is the solution to $2x + 3 = 7$?

Answer: $x = 2$. Subtract 3, then divide by 2.

Flashcard 5: Solve for $x$: $5 - x = 3$.

Answer: $x = 2$. Subtract 5 from both sides, then multiply by -1.

Flashcard 6: Solve for $x$ if $x + 8 = 15$.

Answer: $x = 7$. Subtract 8 from both sides.

Flashcard 7: What is the value of $x$ if $x + 9 = 15$?

Answer: $x = 6$. Subtract 9 from both sides to isolate $x$.

Flashcard 8: Find the solution for $4x = 20$.

Answer: $x = 5$. Divide both sides by 4 to isolate $x$.

Flashcard 9: Identify the value of $x$ in the equation $3x - 4 = 2$.

Answer: $x = 2$. Add 4 to both sides, then divide by 3.

Flashcard 10: Solve the equation $7 - x = 4$.

Answer: $x = 3$. Subtract 7 from both sides, then multiply by -1.

Flashcard 11: What is the solution to the equation $x + 5 = 12$?

Answer: $x = 7$. Subtract 5 from both sides to isolate x.

Flashcard 12: What is the solution to the equation $2x + 5 = 11$?

Answer: $x = 3$. Subtract 5 from both sides, then divide by 2.

Flashcard 13: State the property used to solve $x/3 = 4$.

Answer: Multiplication. Multiply both sides by 3 to eliminate the fraction.

Flashcard 14: State the commutative property of addition.

Answer: $a + b = b + a$. Order of addends doesn't affect the sum.

Flashcard 15: Find the solution for $4x = 20$.

Answer: $x = 5$. Divide both sides by 4 to isolate $x$.

Flashcard 16: Find the value of $x$ in $x/3 = 9$.

Answer: $x = 27$. Multiply both sides by 3.

Flashcard 17: What is a linear equation?

Answer: An equation of the form $ax + b = 0$. One variable raised to the first power.

Flashcard 18: State the formula for solving the equation $ax + b = 0$.

Answer: $x = -\frac{b}{a}$. Subtract $b$ from both sides, then divide by $a$.

Flashcard 19: What is the inverse operation for addition in an equation?

Answer: Subtraction. Addition and subtraction are inverse operations.

Flashcard 20: State the formula for solving the equation $ax + b = 0$.

Answer: $x = -\frac{b}{a}$. Subtract $b$ from both sides, then divide by $a$.

Flashcard 21: What is the solution to the equation $x + 5 = 12$?

Answer: $x = 7$. Subtract 5 from both sides to isolate x.

Flashcard 22: Solve for $x$ in the equation $5x = 20$.

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

Flashcard 23: What is the first step to solve $3(x - 2) = 12$?

Answer: Distribute to get $3x - 6 = 12$. Apply the distributive property to remove parentheses.

Flashcard 24: Solve for $x$ in the equation $5x = 20$.

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

Flashcard 25: Identify the solution for $3x - 4 = 2$.

Answer: $x = 2$. Add 4, then divide by 3.

Flashcard 26: What is the solution to the equation $2x + 3 = 11$?

Answer: $x = 4$. Subtract 3 from both sides, then divide by 2.

Flashcard 27: Identify the value of $x$ in the equation $3x - 4 = 2$.

Answer: $x = 2$. Add 4 to both sides, then divide by 3.

Flashcard 28: Solve for $x$ in the equation $10 = 3x + 1$.

Answer: $x = 3$. Subtract 1, then divide by 3.

Flashcard 29: What is the multiplicative identity property?

Answer: For any number $a$, $a \times 1 = a$. Multiplying by 1 leaves any number unchanged.

Flashcard 30: State the commutative property of addition.

Answer: $a + b = b + a$. Order of addends doesn't affect the sum.

Flashcard 31: State the inverse operation for multiplication in an equation.

Answer: Division. Multiplication and division are inverse operations.

Flashcard 32: What is the additive inverse property?

Answer: For any number $a$, $a + (-a) = 0$. Any number plus its opposite equals zero.

Flashcard 33: What is the solution to $5 - 2x = 1$?

Answer: $x = 2$. Subtract 5 from both sides, then divide by -2.

Flashcard 34: What is the first step to solve $3(x - 2) = 12$?

Answer: Distribute to get $3x - 6 = 12$. Apply the distributive property to remove parentheses.

Flashcard 35: What is the result of solving $x - 5 = -3$?

Answer: $x = 2$. Add 5 to both sides.

Flashcard 36: What is the definition of an equation?

Answer: A statement that two expressions are equal. Shows two expressions have the same value.

Flashcard 37: What is the result of solving $x - 5 = -3$?

Answer: $x = 2$. Add 5 to both sides.

Flashcard 38: Solve for $x$ in the equation $10 = 3x + 1$.

Answer: $x = 3$. Subtract 1, then divide by 3.

Flashcard 39: What value of $x$ satisfies $x/4 = 3$?

Answer: $x = 12$. Multiply both sides by 4 to isolate $x$.

Flashcard 40: What is the additive inverse property?

Answer: For any number $a$, $a + (-a) = 0$. Any number plus its opposite equals zero.

Flashcard 41: What is the associative property of multiplication?

Answer: $(ab)c = a(bc)$. Grouping factors doesn't change the product.

Flashcard 42: What is the value of $x$ if $x + 9 = 15$?

Answer: $x = 6$. Subtract 9 from both sides to isolate $x$.

Flashcard 43: State the inverse operation for multiplication in an equation.

Answer: Division. Multiplication and division are inverse operations.

Flashcard 44: State the property used to solve $x/3 = 4$.

Answer: Multiplication. Multiply both sides by 3 to eliminate the fraction.

Flashcard 45: What is a linear equation?

Answer: An equation of the form $ax + b = 0$. One variable raised to the first power.

Flashcard 46: What is the solution to the equation $2x + 3 = 11$?

Answer: $x = 4$. Subtract 3 from both sides, then divide by 2.

Flashcard 47: Find the value of $x$ in $x/3 = 9$.

Answer: $x = 27$. Multiply both sides by 3.

Flashcard 48: What is the multiplicative identity property?

Answer: For any number $a$, $a \times 1 = a$. Multiplying by 1 leaves any number unchanged.

Flashcard 49: What is the solution to $5 - 2x = 1$?

Answer: $x = 2$. Subtract 5 from both sides, then divide by -2.

Flashcard 50: Find $x$ in the equation $6 = x + 2$.

Answer: $x = 4$. Subtract 2 from both sides.

Flashcard 51: What operation is used to isolate a variable?

Answer: Use inverse operations. Apply the opposite operation to both sides.

Flashcard 52: What operation is used to isolate a variable?

Answer: Use inverse operations. Apply the opposite operation to both sides.

Flashcard 53: What value of $x$ satisfies $x/4 = 3$?

Answer: $x = 12$. Multiply both sides by 4 to isolate $x$.

Flashcard 54: Solve for $x$: $5 - x = 3$.

Answer: $x = 2$. Subtract 5 from both sides, then multiply by -1.

Flashcard 55: Solve for $x$ if $x + 8 = 15$.

Answer: $x = 7$. Subtract 8 from both sides.

Flashcard 56: Solve the equation $7 - x = 4$.

Answer: $x = 3$. Subtract 7 from both sides, then multiply by -1.

Flashcard 57: What is the definition of an equation?

Answer: A statement that two expressions are equal. Shows two expressions have the same value.

Flashcard 58: What is the inverse operation for addition in an equation?

Answer: Subtraction. Addition and subtraction are inverse operations.

Flashcard 59: Find $x$ in the equation $6 = x + 2$.

Answer: $x = 4$. Subtract 2 from both sides.

Flashcard 60: Identify the solution for $3x - 4 = 2$.

Answer: $x = 2$. Add 4, then divide by 3.

Flashcard 61: What is the solution to $2x + 3 = 7$?

Answer: $x = 2$. Subtract 3, then divide by 2.

Flashcard 62: What is the associative property of multiplication?

Answer: $(ab)c = a(bc)$. Grouping factors doesn't change the product.