Algebra 1 Units Quantities Quiz – Free PDF

Contents

This algebra 1 units quantities quiz asks 10 multiple-choice questions on units, quantities and modeling, and each answer comes with a short explanation.

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

Score: 0 / 10

Answered: 0 / 10

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 $\frac{\text{miles}}{\text{gallon}}\times\frac{\text{gallons}}{\text{dollar}}$?

A gallons per mile

B dollars per mile

C miles per gallon

D miles per dollar

Question 3

A pump fills a tank as shown. What are the units and value of the slope?

Water pumped over time.

A 15 gallons per minute

B 15 minutes per gallon

C 60 gallons per minute

D 4 gallons per minute

Question 4

Convert $1.5\text{ h}$ to seconds.

A 90 s

B 540 s

C 3,600 s

D 5,400 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.

A Use a vertical axis from 80 to 88 with steps of 2

B Use a vertical axis from 0 to 1,000

C Use a vertical axis from 0 to 200 with steps of 100

D Remove the labels on the vertical axis

Question 8

Let $x$ be the number of years since 2015. Which year has $x=8$?

A 2023

B 2007

C 2015

D 2025

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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How does this quiz work?

Read each question, choose one answer among A, B, C and D, then check it: a short explanation appears after every answer. Your score out of 10 is shown at the end, and you can restart the quiz as often as you like.

What should you review before the quiz?

Reread the key facts of the lesson and the worked example. If a question is hard, go back to the matching part of the lesson, then try the quiz again. Write your work on scrap paper: most mistakes come from skipping a step, not from the idea itself.

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.