Unit Analysis Test Answer Key with Scoring – Algebra 1

Question 1 Miles to feet (2 points)

5.5 mi × 5,280 ft1 mi = 29,040 ft.

29,040 feet

Scoring: 1 point for a correct factor with miles cancelling, 1 point for the answer.

Question 2 Feet per second to miles per hour (2 points)

22 ft/s × 3,600 s/h = 79,200 ft/h. Then 79,200 ÷ 5,280 = 15.

15 mi/h

Scoring: 1 point for converting seconds to hours, 1 point for converting feet to miles and the answer.

Question 3 Reading a graph scale (2 points)

(a) Bar heights from 70: 72 − 70 = 2 and 78 − 70 = 8. Ratio 8 ÷ 2 = 4 times.

(b) 78 ÷ 72 = 13/12 ≈ 1.08.

Scoring: 1 point for each part. The graph exaggerates the gap because the axis starts at 70.

Question 4 Earnings (2 points)

3 h 45 min = 3.75 h. Pay: $15.60 × 3.75 = $58.50.

$58.50

Scoring: 1 point for converting the time to 3.75 hours, 1 point for the pay.

Question 5 Area of a rug (2 points)

Length 2.5 yd = 7.5 ft, width 3 yd = 9 ft. Area: 7.5 × 9 = 67.5 ft².

Check: 7.5 yd² × 9 = 67.5.

67.5 ft²

Scoring: 1 point for converting both dimensions (or using 9 ft² per yd²), 1 point for the area.

Question 6 Draining a tank (3 points)

(a) 2,400 ÷ 6.4 = 375 minutes.

(b) 375 ÷ 60 = 6.25 hours.

375 minutes = 6.25 hours

Scoring: (a) 1 point for dividing volume by rate, 1 for 375; (b) 1 point.

Question 7 Better cereal buy (3 points)

A: $4.14 ÷ 18 = $0.23 per oz. B: 1.25 × 16 = 20 oz, $4.50 ÷ 20 = $0.225 per oz.

Cereal B is the better buy.

Scoring: 1 point for 20 ounces, 1 point for both unit prices, 1 point for the conclusion.

Question 8 Accuracy of a measurement (2 points)

4.6 × 2.3 = 10.58 ft². With two significant figures: 11 ft².

11 ft²

Scoring: 1 point for the product, 1 point for rounding to two significant figures.

Question 9 Choosing an axis (2 points)

(a) Ticks at 1,200, 1,300, …, 2,000: 9 ticks.

(b) Data range: 1,980 − 1,240 = 740 ft. Axis length: 800 ft. 740 ÷ 800 = 0.925 = 92.5%.

Scoring: 1 point for each part.