Units, Quantities and Modeling: Algebra 1 Math Quiz – PDF Download
Try these ten multiple-choice questions on conversion factors, unit analysis, slopes with units, graph scales and rounding. Pick one answer for each question, then read the explanation to learn from any mistake.
Algebra 1Common Core: N-Q.A.1 · N-Q.A.2 · N-Q.A.3
🎯 Units, Quantities and Modeling – Algebra 1 math quiz
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Question 1
Which conversion factor changes minutes into seconds?
A\(\frac{1\text{ s}}{60\text{ min}}\)
B\(\frac{60\text{ min}}{1\text{ s}}\)
C\(\frac{60\text{ s}}{1\text{ min}}\)
D\(\frac{1\text{ min}}{60\text{ s}}\)
Question 2
What is the unit of \(\frac{\text{miles}}{\text{gallon}}\times\frac{\text{gallons}}{\text{dollar}}\)?
Agallons per mile
Bdollars per mile
Cmiles per gallon
Dmiles per dollar
Question 3
A pump fills a tank as shown. What are the units and value of the slope?Water pumped over time.
A15 gallons per minute
B15 minutes per gallon
C60 gallons per minute
D4 gallons per minute
Question 4
Convert \(1.5\text{ h}\) to seconds.
A90 s
B540 s
C3,600 s
D5,400 s
Question 5
A ruler marked in tenths of an inch shows \(2.7\text{ in}\). Which describes the actual length \(L\)?A reading of 2.7 inches.
A\(2.6\le L< 2.8\)
B\(2.65\le L< 2.75\)
C\(2.7\le L< 2.8\)
D\(2.69\le L< 2.71\)
Question 6
A rectangle measures \(4.2\text{ in}\) by \(3.1\text{ in}\) (each to the nearest tenth). The calculator shows \(13.02\text{ in}^{2}\). Which is the best report?
A\(13.02\text{ in}^{2}\)
B\(13\text{ in}^{2}\)
C\(13.0\text{ in}^{2}\)
D\(13.020\text{ in}^{2}\)
Question 7
The graph's data are 82, 84, 83, 85, 86, but the line looks flat. Which change makes the differences easier to see?Sales on an axis from 0 to 100.
AUse a vertical axis from 80 to 88 with steps of 2
BUse a vertical axis from 0 to 1,000
CUse a vertical axis from 0 to 200 with steps of 100
DRemove the labels on the vertical axis
Question 8
Let \(x\) be the number of years since 2015. Which year has \(x=8\)?
A2023
B2007
C2015
D2025
Question 9
Convert \(3\text{ yd}^{2}\) to square feet.
A\(9\text{ ft}^{2}\)
B\(81\text{ ft}^{2}\)
C\(27\text{ ft}^{2}\)
D\(3\text{ ft}^{2}\)
Question 10
A box of 24 ounces of cereal costs \(\$3.60\). What is the cost per ounce?
A\(\$0.24\)
B\(\$6.67\)
C\(\$1.50\)
D\(\$0.15\)
🎉 Quiz complete!
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Remember:
Standards N-Q.A.1, N-Q.A.2 and N-Q.A.3: use units to solve problems, define quantities for modeling, and choose a level of accuracy.
A conversion factor equals 1, so it changes units without changing the value.
Square the factor for area units and cube it for volume units.
A scale and origin that fit the data make a graph readable, and labels keep it honest.
A measurement to the nearest tenth has a possible error of 0.05.
