7th Grade Solving Two-Step Equations Quiz: 10 Questions with Explanations

A \(x = \frac{32}{3}\)B \(x = 8\)C \(x = 6\)D \(x = 18\)

Subtract 7: \(3x = 18\); divide by 3: \(x = 6\). Adding 7 to 25 is the wrong inverse.

A \(x = 5\)B \(x = 1\)C \(x = 15\)D \(x = 25\)

Add 2: \(x/5 = 5\); multiply by 5: \(x = 25\).

A Subtract 6 from both sidesB Add 4 to both sidesC Divide both sides by 4D Multiply both sides by 40

Dividing by 4 gives \(x + 6 = 10\). Subtracting 6 first is not valid because 4 multiplies the whole group.

A \(x = -7\)B \(x = 7\)C \(x = 2\)D \(x = -2\)

\(-2x = -14\), and dividing by -2 gives 7.

A \(x = 17\)B \(x = 1.44\)C \(x = 0.9\)D \(x = 9\)

Subtract 1.6: \(0.4x = 3.6\); divide by 0.4: \(x = 9\).

A \(x = 14\)B \(x = 2\)C \(x = \frac{7}{2}\)D \(x = 3.5\)

Add 3: \(\frac{1}{2} x = 7\); multiply by 2: \(x = 14\).

A \(8w + 3 = 26\)B \(3w + 8 = 26\)C \(3w – 8 = 26\)D \(11w = 26\)

She starts with 8 and adds 3 each week, so the total is \(3w + 8\).

A \(x = 2\)B \(x = 1\)C \(x = \frac{3}{2}\)D \(x = \frac{11}{2}\)

Divide by 6: \(x – \frac{1}{2} = \frac{3}{2}\); add 1/2: \(x = 2\).

A Yes, because \(5 \times 4 = 20\)B No, the solution is \(x = 5\)C No, the solution is \(x = 3.8\)D No, the solution is \(x = 25\)

Check: \(5(4) – 3 = 17\), not 22. Adding 3 to both sides gives 25, and dividing by 5 gives 5.

A 6 milesB 7.2 milesC 8.4 milesD 36 miles

\(2.5m + 3 = 18\), so \(2.5m = 15\) and \(m = 6\).