7th Grade Solving Real-World Problems with Rational Numbers Quiz: 10 Questions with Explanations

A \(4\) degreesB \(14\) degreesC \(-14\) degreesD \(-4\) degrees

\(9 – (-5) = 14\). Subtracting the sizes gives 4.

A \(\$18\)B \(-\$42\)C \(\$42\)D \(-\$18\)

\(-12 + 30 = 18\). A deposit moves the balance up.

A \(4\) feetB \(-13\) feetC \(-4\) feetD \(13\) feet

\(|4.5 – (-8.5)| = 13\). Distance is positive.

A \(\frac{3}{2}\)B \(\frac{8}{27}\)C \(\frac{2}{3}\)D \(\frac{6}{9}\)

\(\frac{2}{3} \times \frac{9}{4} = \frac{18}{12} = \frac{3}{2}\). Multiply by the reciprocal.

A 9 gallonsB \(\frac{3}{8}\) gallonC 15 gallonsD 21 gallons

Used is \(24 \times \frac{3}{8} = 9\), so \(24 – 9 = 15\) gallons remain.

A \(12\) feetB \(-12\) feetC \(-9.5\) feetD \(-6.5\) feet

\(-1.5 \times 8 = -12\). A descent is negative.

A \(-5\)B \(-\frac{5}{3}\)C \(\frac{5}{3}\)D \(-3\)

The sum is \(-5\) and \(-5 \div 3 = -\frac{5}{3}\). Dividing by 2 is a mistake.

A \(-45 \div 3\)B \(-45 \times 3\)C \(45 – 3\)D \(-45 + 3\)

Equal sharing means division, and a debt is negative.

A \(-3.5\)B They are equalC \(-3\frac{1}{4}\)D Not enough information

On the number line \(-3\frac{1}{4}\) is to the right of \(-3.5\), so it is greater.

A \(-275\) feetB \(125\) feetC \(275\) feetD \(-125\) feet

\(-200 + 75 = -125\). Rising adds.