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

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

Flashcard 3: What is the solution to the equation $x + 5 = 12$?

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

Flashcard 4: What is the additive inverse property?

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

Flashcard 5: 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 6: What is the solution to the equation $2x + 3 = 11$?

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

Flashcard 7: State the property used to solve $x/3 = 4$.

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

Flashcard 8: Identify the inverse operation to solve $x - 5 = 10$.

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

Flashcard 9: Solve for $x$ in the equation $10 = 3x + 1$.

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

Flashcard 10: What is the solution to the equation $2x + 3 = 11$?

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

Flashcard 11: Solve for $x$ in the equation $5x = 20$.

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

Flashcard 12: Solve the equation $7 - x = 4$.

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

Flashcard 13: What is the solution to the equation $x + 5 = 12$?

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

Flashcard 14: What is the solution to $2x + 3 = 7$?

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

Flashcard 15: What is the multiplicative identity property?

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

Flashcard 16: What is the solution to $5 - 2x = 1$?

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

Flashcard 17: State the commutative property of addition.

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

Flashcard 18: Find the value of $x$ in $x/3 = 9$.

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

Flashcard 19: 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 20: Identify the inverse operation to solve $x - 5 = 10$.

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

Flashcard 21: Find the value of $x$ in $x/3 = 9$.

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

Flashcard 22: Identify the value of $x$ in the equation $3x - 4 = 2$.

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

Flashcard 23: Solve for $x$ in the equation $5x = 20$.

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

Flashcard 24: What is the multiplicative identity property?

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

Flashcard 25: Solve for $x$ in the equation $10 = 3x + 1$.

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

Flashcard 26: Identify the solution for $3x - 4 = 2$.

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

Flashcard 27: What is the associative property of multiplication?

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

Flashcard 28: State the commutative property of addition.

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

Flashcard 29: What is the result of solving $x - 5 = -3$?

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

Flashcard 30: Solve the equation $7 - x = 4$.

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