*************************************************************************************

MTH 213 Week 3 Checkpoint

Choose the number that best approximates each of the following.

a. 2 and one fourth times 6 and two thirds2

1

4•6

2

3

b. 3 and seven twelfths times 6 StartFraction 17 Over 120 EndFraction3

7

12•6

17

120

c. StartFraction 5 Over 112 EndFraction divided by StartFraction 5 Over 113 EndFraction

5

112÷

5

113

a. Choose the best approximation for 2 and one fourth times 6 and two thirds2

1

4•6

2

3.

1414

Your answer is correct.

1818

1212

2121

b. Choose the best approximation for 3 and seven twelfths times 6 StartFraction 17 Over 120 EndFraction3

7

12•6

17

120.

2828

2424

Your answer is correct.

1818

2121

c. Choose the best approximation for StartFraction 5 Over 112 EndFraction divided by StartFraction 5 Over 113 EndFraction

5

112÷

5

113.

one half

1

2

1

Your answer is correct.

one fourth

1

4

0

https://hwsell.com/category/mth-213/

Write a fraction to represent the shaded portion of the set of objects.

An image of 7 circles with 4 circles shaded.

The shaded part of the set of objects, written as a fraction, is

four sevenths

4

7. (Do not simplify.)

Use the number-line model to show that 5 left parenthesis Superscript minus Baseline 2 right parenthesis equals Superscript minus Baseline 10.5−2=−10.

Choose the correct answer below.

A.

A number line is labeled from negative 12 to 1 in increments of 1. Above the number line, arrows connect numbers as follows: from 0 to negative 2, from negative 2 to negative 4, from negative 4 to negative 6, from negative 6 to negative 8, from negative 8 to negative 10. The number negative 10 is circled.

Your answer is correct.B.

A number line is labeled from negative 12 to 1 in increments of 1. Above the number line, arrows connect numbers as follows: from negative 10 to negative 8, from negative 8 to negative 6, from negative 6 to negative 4, from negative 4 to negative 2, from negative 2 to 0. The number negative 10 is circled.

C.

A number line is labeled from negative 1 to 12 in increments of 1. Above the number line, arrows connect numbers as follows: from 0 to 2, from 2 to 4, from 4 to 6, from 6 to 8, from 8 to 10. The number 10 is circled.

D.

A number line is labeled from negative 1 to 12 in increments of 1. Above the number line, arrows connect numbers as follows: from 10 to 8, from 8 to 6, from 6 to 4, from 4 to 2, from 2 to 0. The number 10 is circled.

https://hwsell.com/category/mth-213/

Evaluate.

StartAbsoluteValue 8 EndAbsoluteValue8

StartAbsoluteValue 8 EndAbsoluteValue8equals=

88

Evaluate each of the following expressions, if possible.

a. (Superscript minus−1515 divided by ÷Superscript minus−33)(Superscript minus−33)

b. (Superscript minus−1212 times •44) divided by ÷44

c. Superscript minus−1414 divided by ÷(Superscript minus−77plus+77)

d. (Superscript minus−55plus+55) divided by ÷(Superscript minus−33plus+33)

e. StartAbsoluteValue Superscript minus Baseline 36 EndAbsoluteValue−36 divided by ÷[44(55minus−1414)]

a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

(Superscript minus−1515 divided by ÷Superscript minus−33)(Superscript minus−33)equals=

negative 15−15

Your answer is correct.B.

The answer is undefined.

b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

(Superscript minus−1212 times •44) divided by ÷44equals=

negative 12−12

Your answer is correct.B.

The answer is undefined.

c. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

Superscript minus−1414 divided by ÷(Superscript minus−77plus+77)equals=

nothing

B.

The answer is undefined.

Your answer is correct.

d. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

(Superscript minus−55plus+55) divided by ÷(Superscript minus−33plus+33)equals=

nothing

B.

The answer is undefined.

Your answer is correct.

e. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A.

StartAbsoluteValue Superscript minus Baseline 36 EndAbsoluteValue−36 divided by ÷[44(55minus−1414)]equals=

negative 1−1

Your answer is correct.B.

The answer is undefined.

https://hwsell.com/category/mth-213/

Read each measurement as shown on the following ruler.

Image of a partial ruler showing 3 inches, with tick marks every one eighth of an inch. There are questions about four measurements on the ruler: Question A points to a line 5 tick marks past 2 inches. Question B points to a line 5 tick marks past 1 inch. Question C points to a line 1 tick mark past 1 inch. Question D points to a line 4 tick marks past 0.

1

2

3

a.

b.

c.

d.

0

a.

2 and five eighths2

5

8 in. (Simplify your answer. Type an integer, proper fraction, or mixed number.)

b.

1 and five eighths1

5

8 in. (Simplify your answer. Type an integer, proper fraction, or mixed number.)

c.

1 and one eighth1

1

8 in. (Simplify your answer. Type an integer, proper fraction, or mixed number.)

d.

one half

1

2 in. (Simplify your answer. Type an integer, proper fraction, or mixed number.)

Which is a better buylong dash—33 bananabananas for 6969cents¢ or 99 bananabananas for $2.252.25?

Choose the correct answer below.

9 bananas for $ 2.259 bananas for $2.25

3 bananas for 69 cents

https://hwsell.com/category/mth-213/

had a used bikea used bike reduction and lost one seventh

1

7 of its used bikesused bikes. If 132132 of its used bikesused bikes were left after the reduction, how many used bikesused bikes were there originally?

The original number of used bikesused bikes was

154154.

Multiply and simplify.

9 cubed times 9 cubed93•93

9 cubed times 9 cubed93•93equals=

9 Superscript 696

(Simplify your answer. Type exponential notation with positive exponents.)

Use the information in the table to answer the following questions. Complete parts (a) through (c) below.

a. Which team won more than one half

1

2 of its games and was closest to winning one half

1

2 of its games?

Dolphins

b. Which team won less than one half

1

2 of its games and was closest to winning one half

1

2 of its games?

Eagles

c. Which team won more than one third

1

3 of its games and was closest to winning one third

1

3 of its games?

Hawks

Solve for x in each of the following.

a. two fifths equals StartFraction x Over 19 EndFraction

2

5=

x

19

b. five sixths equals StartFraction Superscript minus Baseline 30 Over x EndFraction

5

6=

−30

x

a. xequals=

StartFraction 38 Over 5 EndFraction

38

5 (Simplify your answer. Type an integer or a simplified fraction.)

b. xequals=

negative 36−36 (Simplify your answer. Type an integer or a simplified fraction.)

https://hwsell.com/category/mth-213/

A student computes Superscript minus−8minus−2(Superscript minus−3) by writing Superscript minus−10(Superscript minus−3)equals=30. How would you help this student?

Select the correct answer below.

A.

The student does not understand that the expression is necessarily ambiguous. The student must determine, from the context, the appropriate order of operations in order to determine the correct answer. Using the same expression in different contexts should be helpful.

B.

The student does not fully understand the order of operations. The teacher should emphasize that in order to avoid ambiguity, mathematicians agree that multiplication is performed only before addition, and that division is performed only before subtraction. A few simpler examples like 10plus+2 times •3 and 10minus−6 divided by ÷2 should be helpful.

C.

The student does not fully understand the necessity of parentheses. The teacher should emphasize that in order to avoid ambiguity, mathematicians agree that parentheses should always be placed so that ambiguity is eliminated.

D.

The student does not fully understand the order of operations. The teacher should emphasize that in order to avoid ambiguity, mathematicians agree that multiplication is performed before addition or subtraction. A simple example like 10minus−2 times •3 should be helpful.

Between the pair of numbers, insert the appropriate sign, greater than>, equals=, or less than<.

one fourth three twelfths

1

4

3

12

one fourth

1

4

equals=three twelfths

A seventh-grade student does not believe that minus−5less than<minus−2. The student argues that a debt of $5 is greater than a debt of $2. How do you respond?

Which response is correct?

A.

The student is correct that a debt of $5 is greater than a debt of $2. This means that minus−5 is farther to the left than minus−2. Therefore, minus−2less than<minus−5.

B.

The student is incorrect that a debt of $5 is greater than a debt of $2. This means that minus−2 is farther to the left than minus−5. Therefore, minus−2less than<minus−5.

C.

The student is incorrect that a debt of $5 is greater than a debt of $2. This means that minus−5 is farther to the left than minus−2. Therefore, minus−5less than<minus−2.

D.

The student is correct that a debt of $5 is greater than a debt of $2. However, this means that minus−5 is farther to the left than minus−2. Therefore, minus−5less than<minus−2.

Simplify the expression.

Superscript minus−66minus−(55minus−66x)

Superscript minus−66minus−(55minus−66x)equals=

negative 11 plus 6 x