One-Step Equations - SSAT Middle Level Quantitative

1. What operation isolates $x$ in a one-step equation like $x + a = b$?

   Subtract $a$ from both sides. To isolate $x$, perform the inverse operation of addition by subtracting $a$ from both sides, preserving the equation's balance.

2. What is $x$ in the one-step equation $x - 9 = 4$?

   $x = 13$. Add 9 to both sides to isolate $x$, reversing the subtraction and finding the value that satisfies the equation.

3. What is $x$ in the one-step equation $x + (-6) = 10$?

   $x = 16$. Add 6 to both sides to isolate $x$, as this counters the subtraction of 6 and balances the equation.

4. Identify the inverse operation needed first: solve $-3x = 27$.

   Divide both sides by $-3$. To isolate $x$, divide both sides by -3, inverting the multiplication by -3 and solving the equation.

5. What is $x$ in the one-step equation $x + 7 = 19$?

   $x = 12$. Subtract 7 from both sides to isolate $x$, as this undoes the addition and solves the equation.

6. What is $x$ in the one-step equation $x - 0 = 6$?

   $x = 6$. Subtracting 0 leaves $x$ unchanged, equaling the constant on the right side of the equation.

7. What is $x$ in the one-step equation $5x = 35$?

   $x = 7$. Divide both sides by 5 to isolate $x$, reversing the multiplication and determining the solution.

8. What is $x$ in the one-step equation $\frac{2}{5}x = 10$?

   $x = 25$. Multiply both sides by $\frac{5}{2}$ to isolate $x$, inverting the multiplication by $\frac{2}{5}$ and finding the solution.

9. What operation isolates $x$ in a one-step equation like $ax = b$, where $a \ne 0$?

   Divide both sides by $a$. To isolate $x$, perform the inverse operation of multiplication by dividing both sides by $a$, ensuring the equation remains equivalent.

10. What is $x$ in the one-step equation $\frac{1}{3}x = 8$?

    $x = 24$. Multiply both sides by 3 to isolate $x$, as this undoes the multiplication by $\frac{1}{3}$ and balances the equation.

11. What is $x$ in the one-step equation $x - \frac{1}{2} = \frac{3}{2}$?

    $x = 2$. Add $\frac{1}{2}$ to both sides to isolate $x$, countering the subtraction and solving for the variable.

12. What is $x$ in the one-step equation $\frac{x}{-2} = 9$?

    $x = -18$. Multiply both sides by -2 to isolate $x$, reversing the division by -2 and solving the equation.

13. What is $x$ in the one-step equation $\frac{x}{4} = \frac{3}{8}$?

    $x = \frac{3}{2}$. Multiply both sides by 4 to isolate $x$, undoing the division by 4 and simplifying to the solution.

14. What is $x$ in the one-step equation $-4x = 20$?

    $x = -5$. Divide both sides by -4 to isolate $x$, as this inverts the multiplication by -4 and balances the equation.

15. What operation isolates $x$ in a one-step equation like $\frac{x}{a} = b$, where $a \ne 0$?

    Multiply both sides by $a$. To isolate $x$, perform the inverse operation of division by multiplying both sides by $a$, preserving the equation's equality.

16. What is $x$ in the one-step equation $7x = -21$?

    $x = -3$. Divide both sides by 7 to isolate $x$, reversing the multiplication and finding the negative value that works.

17. What is the solution to the one-step equation $x = -14$?

    $x = -14$. The equation already isolates $x$, stating its value directly without further operations needed.

18. Which value of $x$ makes the equation true: $x + 9 = 0$?

    $x = -9$. Subtract 9 from both sides to make the right side zero, isolating $x$ on the left.

19. What is $x$ in the one-step equation $x + \frac{3}{4} = 2$?

    $x = \frac{5}{4}$. Subtract $\frac{3}{4}$ from both sides to isolate $x$, reversing the addition and determining the value.

20. Identify the inverse operation needed first: solve $x - 12 = -5$.

    Add $12$ to both sides. To isolate $x$, add 12 to both sides as the inverse of subtracting 12, maintaining balance.

21. What is $x$ in the one-step equation $x + 0 = -11$?

    $x = -11$. Adding 0 does not change the value, so $x$ equals the constant on the other side directly.

22. Which value of $x$ makes the equation true: $\frac{x}{5} = -4$?

    $x = -20$. Multiply both sides by 5 to isolate $x$, reversing the division and yielding the negative solution.

23. What operation isolates $x$ in a one-step equation like $x - a = b$?

    Add $a$ to both sides. To isolate $x$, perform the inverse operation of subtraction by adding $a$ to both sides, maintaining equality.

24. What is $x$ in the one-step equation $\frac{x}{6} = 3$?

    $x = 18$. Multiply both sides by 6 to isolate $x$, countering the division by 6 and finding the value that fits.

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