Solving Two-Step Equations

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Questions and Answers

What is the first operation you should perform to solve the equation $3x + 7 = 22$?

  • Multiply both sides by 3.
  • Subtract 7 from both sides. (correct)
  • Add 7 to both sides.
  • Divide both sides by 3.

After subtracting 5 from both sides of the equation $2x + 5 = 21$, what is the next step to solve for $x$?

  • Divide both sides by 2. (correct)
  • Multiply both sides by 2.
  • Subtract 2 from both sides.
  • Add 2 to both sides.

Solve for $x$ in the equation $4x - 9 = 15$. What is the value of $x$?

  • 5
  • 2.5
  • 4
  • 6 (correct)

Which operation is the inverse of multiplication that is used to isolate a variable in a two-step equation?

<p>Division (A)</p>
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What should be done to both sides of an equation to maintain equality when solving for a variable?

<p>Perform the same operation. (A)</p>
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In the two-step equation $5x + 3 = 18$, which value needs to be addressed first to isolate the term with $x$?

<p>3 (A)</p>
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What is the solution to the equation $7x - 11 = 31$?

<p>6 (A)</p>
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If you have the equation $\frac{x}{3} + 2 = 8$, what is the first step to isolate $x$?

<p>Subtract 2 from both sides (C)</p>
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Solve the equation $\frac{x}{4} - 5 = -2$. What is the value of $x$?

<p>12 (B)</p>
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What is the value of $x$ in the equation $6x + 4 = 22$?

<p>3 (A)</p>
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To solve $9x - 4 = 50$, what two operations must be performed in the correct order?

<p>Add 4, then divide by 9. (C)</p>
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When solving the equation $10 + 2x = 30$, what is the value of $x$?

<p>10 (B)</p>
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Solve for $x$: $7x + 2 = 30$.

<p>8 (C)</p>
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What is the first step in solving the equation $15 - 3x = 24$?

<p>Subtract 15 from both sides. (A)</p>
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Solve for $x$ in the equation $2x + 9 = 19$.

<p>5 (B)</p>
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If $4x - 7 = 17$, what is the value of $x$?

<p>6 (D)</p>
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Solve for $x$: $\frac{x}{2} + 6 = 10$.

<p>8 (B)</p>
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Find the value of $x$ that satisfies the equation $3x - 5 = 16$.

<p>7 (D)</p>
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Determine the value of $x$ in the following equation: $\frac{x}{5} + 1 = 6$.

<p>25 (C)</p>
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Flashcards

Two-Step Equation

An equation that requires two operations to isolate the variable.

Opposite Operation

Perform the opposite mathematical operation to both sides of the equation to maintain balance.

First Step: Subtraction

Subtract 5 from both sides to isolate the variable term.

Second Step: Division

Divide both sides by 2 to solve for x.

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Isolate the Variable

The goal is to get the variable alone on one side of the equation.

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Study Notes

Linear equations

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