<< Chapter < Page Chapter >> Page >
  1. Did you grow up using the U.S. or the metric system of measurement?
  2. Describe two examples in your life when you had to convert between the two systems of measurement.
Got questions? Get instant answers now!

Self check

After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

This is a table that has seven rows and four columns. In the first row, which is a header row, the cells read from left to right “I can…,” “Confidently,” “With some help,” and “No-I don’t get it!” The first column below “I can…” reads “define US units of measurement and convert from one unit to another,” “use US units of measurement,” “define metric units of measurement and convert from one unit to another,” “use metric units of measurement,” “convert between the US and the metric system of measurement,” and “convert between Fahrenheit and Celsius temperatures.” The rest of the cells are blank.

Overall, after looking at the checklist, do you think you are well-prepared for the next Chapter? Why or why not?

Chapter review exercises

Introduction to Whole Numbers

Use Place Value with Whole Number

In the following exercises find the place value of each digit.

26,915

1
2
9
5
6

tens ten thousands hundreds ones thousands

Got questions? Get instant answers now!

359,417

9
3
4
7
1

Got questions? Get instant answers now!

58,129,304

5
0
1
8
2

ten millions tens hundred thousands millions ten thousands

Got questions? Get instant answers now!

9,430,286,157

6
4
9
0
5

Got questions? Get instant answers now!

In the following exercises, name each number.

6,104

six thousand, one hundred four

Got questions? Get instant answers now!

3,975,284

three million, nine hundred seventy-five thousand, two hundred eighty-four

Got questions? Get instant answers now!

In the following exercises, write each number as a whole number using digits.

three hundred fifteen

315

Got questions? Get instant answers now!

sixty-five thousand, nine hundred twelve

Got questions? Get instant answers now!

ninety million, four hundred twenty-five thousand, sixteen

90,425,016

Got questions? Get instant answers now!

one billion, forty-three million, nine hundred twenty-two thousand, three hundred eleven

Got questions? Get instant answers now!

In the following exercises, round to the indicated place value.

Round to the nearest ten.

407 8,564

410 8,560

Got questions? Get instant answers now!

Round to the nearest hundred.

25,846 25,864

Got questions? Get instant answers now!

In the following exercises, round each number to the nearest hundred thousand ten thousand.

864,951

865,000 865,000 860,000

Got questions? Get instant answers now!

Identify Multiples and Factors

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, by 3, by 5, by 6, and by 10.

Find Prime Factorizations and Least Common Multiples

In the following exercises, find the prime factorization.

420

2 · 2 · 3 · 5 · 7

Got questions? Get instant answers now!

1560

2 · 2 · 2 · 3 · 5 · 13

Got questions? Get instant answers now!

72

2 · 2 · 2 · 3 · 3

Got questions? Get instant answers now!

252

2 · 2 · 3 · 3 · 7

Got questions? Get instant answers now!

In the following exercises, find the least common multiple of the following numbers using the multiples method.

In the following exercises, find the least common multiple of the following numbers using the prime factors method.

Use the Language of Algebra

Use Variables and Algebraic Symbols

In the following exercises, translate the following from algebra to English.

25 7

25 minus 7, the difference of twenty-five and seven

Got questions? Get instant answers now!

45 ÷ 5

45 divided by 5, the quotient of forty-five and five

Got questions? Get instant answers now!

42 27

forty-two is greater than or equal to twenty-seven

Got questions? Get instant answers now!

3 20 ÷ 4

3 is less than or equal to 20 divided by 4, three is less than or equal to the quotient of twenty and four

Got questions? Get instant answers now!

In the following exercises, determine if each is an expression or an equation.

Simplify Expressions Using the Order of Operations

In the following exercises, simplify each expression.

In the following exercises, simplify

Evaluate an Expression

In the following exercises, evaluate the following expressions.

x 2 + 5 x 8 when x = 6

58

Got questions? Get instant answers now!

Questions & Answers

4x+7y=29,x+3y=11 substitute method of linear equation
Srinu Reply
substitute method of linear equation
Srinu
Solve one equation for one variable. Using the 2nd equation, x=11-3y. Substitute that for x in first equation. this will find y. then use the value for y to find the value for x.
bruce
I want to learn
Elizebeth
help
Elizebeth
I want to learn. Please teach me?
Wayne
1) Use any equation, and solve for any of the variables. Since the coefficient of x (the number in front of the x) in the second equation is 1 (it actually isn't shown, but 1 * x = x), use that equation. Subtract 3y from both sides (this isolates the x on the left side of the equal sign).
bruce
2) This results in x=11-3y. x is note in terms of y. Use that as the value of x and substitute for all x in the first equation. The first equation becomes 4(11-3y)+7y =29. Note that the only variable left in the first equation is the y. If you have multiple variable, then something is wrong.
bruce
3) Distribute (multiply) the 4 across 11-3y to get 44-12y. Add this to the 7y. So, the equation is now 44-5y=29.
bruce
4) Solve 44-5y=29 for y. Isolate the y by subtracting 44 from birth sides, resulting in -5y=-15. Now, divide birth sides by -5 (since you have -5y). This results in y=3. You now have the value of one variable.
bruce
5) The last step is to take the value of y from Step 4) and substitute into the 2nd equation. Therefore: x+3y=11 becomes x+3(3)=11. Then multiplying, x+9=11. Finally, solve for x by subtracting 9 from both sides. Therefore, x=2.
bruce
6) The ordered pair of (2, 3) is the proposed solution. To check, substitute those values into either equation. If the result is true, then the solution is correct. 4(2)+7(3)=8+21=29. TRUE! Finished.
bruce
At 1:30 Marlon left his house to go to the beach, a distance of 5.625 miles. He rose his skateboard until 2:15, and then walked the rest of the way. He arrived at the beach at 3:00. Marlon's speed on his skateboard is 1.5 times his walking speed. Find his speed when skateboarding and when walking.
Andrew Reply
divide 3x⁴-4x³-3x-1 by x-3
Ritik Reply
how to multiply the monomial
Ceny Reply
Two sisters like to compete on their bike rides. Tamara can go 4 mph faster than her sister, Samantha. If it takes Samantha 1 hours longer than Tamara to go 80 miles, how fast can Samantha ride her bike? Got questions? Get instant answers now!
Seera Reply
how do u solve that question
Seera
Two sisters like to compete on their bike rides. Tamara can go 4 mph faster than her sister, Samantha. If it takes Samantha 1 hours longer than Tamara to go 80 miles, how fast can Samantha ride her bike?
Seera
Speed=distance ÷ time
Tremayne
x-3y =1; 3x-2y+4=0 graph
Juned Reply
Brandon has a cup of quarters and dimes with a total of 5.55$. The number of quarters is five less than three times the number of dimes
ashley Reply
app is wrong how can 350 be divisible by 3.
Raheem Reply
June needs 48 gallons of punch for a party and has two different coolers to carry it in. The bigger cooler is five times as large as the smaller cooler. How many gallons can each cooler hold?
Susanna Reply
Susanna if the first cooler holds five times the gallons then the other cooler. The big cooler holda 40 gallons and the 2nd will hold 8 gallons is that correct?
Georgie
@Susanna that person is correct if you divide 40 by 8 you can see it's 5 it's simple
Ashley
@Geogie my bad that was meant for u
Ashley
Hi everyone, I'm glad to be connected with you all. from France.
Lorris Reply
I'm getting "math processing error" on math problems. Anyone know why?
Ray Reply
Can you all help me I don't get any of this
Jade Reply
4^×=9
Alberto Reply
Did anyone else have trouble getting in quiz link for linear inequalities?
Sireka Reply
operation of trinomial
Justin Reply

Get the best Elementary algebra course in your pocket!





Source:  OpenStax, Elementary algebra. OpenStax CNX. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Elementary algebra' conversation and receive update notifications?

Ask