This algebra 1 units test answer key gives the full solution and the scoring guide for each of the 8 test questions on units, quantities and modeling.
Use this key to grade the test. Each solution lists the work and a scoring guide, so partial credit can be given when the setup is correct but the arithmetic slips. Total possible score is 20 points.
Algebra 1 Units Test Answer Key: questions 1–5
Question 1: Two conversions (2 points)
- \(3.25\times 5280=17{,}160\text{ ft}\).
- \(252: 60=4.2\text{ h}\).
Scoring: 1 point for each correct converted value with its unit.
Question 2: Speed in feet per second (3 points)
\(55\,\frac{\text{mi}}{\text{h}}\times \frac{5280\text{ ft}}{1\text{ mi}}\times \frac{1\text{ h}}{3600\text{ s}}=\frac{290{,}400}{3600}\,\frac{\text{ft}}{\text{s}}\approx 80.7\,\frac{\text{ft}}{\text{s}}\).
About 80.7 ft/s
Scoring: 1 point for each correct conversion factor (2), 1 point for the value rounded correctly.
Question 3: Units of a quotient (2 points)
\(\frac{60\text{ mi}}{1\text{ h}}\times \frac{1\text{ gal}}{30\text{ mi}}=2\,\frac{\text{gal}}{\text{h}}\).
The truck uses 2 gallons of fuel per hour.
Scoring: 1 point for the value 2 with units gal/h, 1 point for the interpretation.
Question 4: Filling a container (3 points)
- \(3\times 2\times 1.5=9\text{ ft}^{3}\).
- \(9\times 7.48=67.32\text{ gal}\).
- \(67.32: 8=8.415\approx 8.4\text{ min}\).
9 ft3; 67.32 gal; about 8.4 min
Scoring: 1 point for each part, with units.
Question 5: Scale of a graph (3 points)
- \(1230-1180=50\) students.
- Axis height: \(1250-1150=100\). \(\frac{50}{100}=50\%\).
- \(\frac{50}{1250}=0.04=4\%\). The graph that starts at 1150 makes the change look larger.
50 students; 50%; 4%
Scoring: 1 point per part.
Algebra 1 Units Test Answer Key: questions 6–8
Question 6: Defining a quantity (2 points)
Let \(m\) be the distance in miles and \(C\) the cost in dollars: \(C=20+0.5m\). For \(m=18\): \(C=20+9=29\).
\(C=20+0.5m\); \(\$29\)
Scoring: 1 point for variables with units and the equation, 1 point for the cost.
Question 7: Accuracy of a poster (3 points)
- \(24.5\times 18.2=445.9\). Each measurement has three significant digits, so the area is reported as \(446\text{ in}^{2}\).
- The measurement is within \(0.05\) of \(24.5\): \(24.45\le w< 24.55\).
Scoring: (a) 1 point for 445.9, 1 point for rounding to 3 digits; (b) 1 point for both bounds with correct inequality signs.
Question 8: Trip planning (2 points)
Gallons: \(350: 25=14\). Cost: \(14\times \$4.00=\$56\). Per mile: \(\$56: 350=\$0.16\).
14 gal; \(\$56\); \(\$0.16\) per mile
Scoring: 1 point for the gallons and cost, 1 point for the cost per mile with units.
Scoring summary
20 points: add the points of every question of this algebra 1 units test answer key.
How to use this algebra 1 units test answer key
Use this algebra 1 units test answer key to score the test fairly and to see which skills need more practice.
Printable PDF · Test Answer Key
Algebra 1 Units, Quantities and Modeling test answer key
Download the PDF
See every chapter on the Algebra 1 math page.
