Chapter 1

Intermediate Algebra · 259 exercises

Problem 1

Write each sentence using mathematical symbols. See Examples I through 4 and 6 through 8 . The sum of 10 and \(x\) is \(-12\)

3 step solution

Problem 1

Add or subtract as indicated. See Examples I through 3 $$ -3+8 $$

4 step solution

Problem 1

Find the value of each algebraic expression at the given replacement values. See Examples 1 and 2 \(5 x\) when \(x=7\)

3 step solution

Problem 2

Write each sentence using mathematical symbols. See Examples I through 4 and 6 through 8 . The difference of \(y\) and 3 amounts to 12

2 step solution

Problem 2

Use a graphing calculator to check each exercise. $$ 12+(-7) $$

5 step solution

Problem 3

Write each sentence using mathematical symbols. See Examples I through 4 and 6 through 8 . Twice \(x,\) plus \(5,\) is the same as \(-14\).

2 step solution

Problem 3

Use a graphing calculator to check each exercise. $$ -14+(-10) $$

4 step solution

Problem 3

Find the value of each algebraic expression at the given replacement values. See Examples 1 and 2 $$ 9.8 z \text { when } z=3.1 $$

4 step solution

Problem 4

Write each sentence using mathematical symbols. See Examples I through 4 and 6 through 8 . Three more than the product of 4 and \(c\) is 7 .

5 step solution

Problem 4

Use a graphing calculator to check each exercise. $$ -5+(-9) $$

4 step solution

Problem 4

Find the value of each algebraic expression at the given replacement values. See Examples 1 and 2 \(7.1 a\) when \(a=1.5\)

3 step solution

Problem 4

Do you have the name and contact information of at least one other student in class?

4 step solution

Problem 5

Write each sentence using mathematical symbols. See Examples I through 4 and 6 through 8 . The quotient of \(n\) and 5 is 4 times \(n\)

3 step solution

Problem 5

Use a graphing calculator to check each exercise. $$ -4.3-6.7 $$

4 step solution

Problem 5

Find the value of each algebraic expression at the given replacement values. See Examples 1 and 2 $$ a b \text { when } a=\frac{1}{2} \text { and } b=\frac{3}{4} $$

3 step solution

Problem 6

Write each sentence using mathematical symbols. See Examples I through 4 and 6 through 8 . The quotient of 8 and \(y\) is 3 more than \(y .\)

4 step solution

Problem 6

Use a graphing calculator to check each exercise. $$ -8.2-(-6.6) $$

4 step solution

Problem 6

Why is it important that you write step-by-step solutions to homework exercises and keep a hard copy of all work submitted?

5 step solution

Problem 7

Write each sentence using mathematical symbols. See Examples I through 4 and 6 through 8 . The difference of \(z\) and one-half is the same as the product of \(z\) and one- half.

4 step solution

Problem 7

Use a graphing calculator to check each exercise. $$ 13-17 $$

3 step solution

Problem 7

Find the value of each algebraic expression at the given replacement values. See Examples 1 and 2 \(3 x+y\) when \(x=6\) and \(y=4\)

4 step solution

Problem 8

Write each sentence using mathematical symbols. See Examples I through 4 and 6 through 8 . Five added to one-fourth \(q\) is the same as 4 more than \(q\).

3 step solution

Problem 8

Find the value of each algebraic expression at the given replacement values. See Examples 1 and 2 \(2 a-b\) when \(a=12\) and \(b=7\)

3 step solution

Problem 8

Have you attempted this course before? If so, write down ways that you might improve your chances of success during this second attempt.

7 step solution

Problem 9

Write each sentence using mathematical symbols. See Examples I through 4 and 6 through 8 . The product of 7 and \(x\) is less than or equal to \(-21\).

3 step solution

Problem 9

Use a graphing calculator to check each exercise. $$ \frac{11}{15}-\left(-\frac{3}{5}\right) $$

7 step solution

Problem 9

The B737-400 aircraft flies an average speed of 400 miles per hour. The expression 400 t gives the distance traveled by the aircraft in \(t\) hours Find the distance traveled by the \(\mathrm{B} 737-400\) in 5 hours.

5 step solution

Problem 9

List some steps that you can take if you begin having trouble understanding the material or completing an assignment. If you are completing your homework in MyMathLab and MathXL', list the resources you can use for help.

6 step solution

Problem 10

Write each sentence using mathematical symbols. See Examples I through 4 and 6 through 8 . 10 subtracted from the reciprocal of \(x\) is greater than \(0 .\)

3 step solution

Problem 10

Use a graphing calculator to check each exercise. $$ \frac{7}{10}-\frac{4}{5} $$

4 step solution

Problem 10

The algebraic expression \(1.5 x\) gives the total length of shelf space needed in inches for \(x\) encyclopedias. Find the length of shelf space needed for a set of 30 encyclopedias.

4 step solution

Problem 11

Write each sentence using mathematical symbols. See Examples I through 4 and 6 through 8 . Twice the difference of \(x\) and 6 is greater than the reciprocal of 11.

4 step solution

Problem 11

Use a graphing calculator to check each exercise. $$ 19-10-11 $$

4 step solution

Problem 11

Employees at Walmart constantly reorganize and reshelve merchandise. In doing so, they calculate floor space needed for displays The algebraic expression \(l \cdot w\) gives the floor space needed in square units for a display that measures length \(l\) units and width \(w\) units. Calculate the floor space needed for a display whose length is 5.1 feet and whose width is 4 feet.

5 step solution

Problem 12

Write each sentence using mathematical symbols. See Examples I through 4 and 6 through 8 . Four times the sum of 5 and \(x\) is not equal to the opposite of 15.

4 step solution

Problem 12

Use a graphing calculator to check each exercise. $$ -13-4+9 $$

4 step solution

Problem 12

The algebraic expression \(\frac{x}{5}\) can be used to calculate the distance in miles that you are from a flash of lightning, where \(x\) is the number of seconds between the time you see a flash of lightning and the time you hear the thunder. Calculate the distance that you are from the flash of lightning if you hear the thunder 2 seconds after you see the lightning.

4 step solution

Problem 13

Write each sentence using mathematical symbols. See Examples I through 4 and 6 through 8 . Twice the difference of \(x\) and 6 is \(-27\).

4 step solution

Problem 13

Use a graphing calculator to check each exercise. $$ -\frac{4}{5}-\left(-\frac{3}{10}\right) $$

6 step solution

Problem 13

The B737-400 aircraft costs \(\$ 2948\) dollars per hour to operate. The algebraic expression \(2948 t\) gives the total cost to operate the aircraft for \(t\) hours. Find the total cost to operate the \(\mathrm{B} 737-400\) for 3.6 hours.

4 step solution

Problem 14

Write each sentence using mathematical symbols. See Examples I through 4 and 6 through 8 . 5 times the sum of 6 and \(y\) is \(-35\).

4 step solution

Problem 14

Use a graphing calculator to check each exercise. $$ -\frac{5}{2}-\left(-\frac{2}{3}\right) $$

5 step solution

Problem 14

Flying the SR-71A jet, Capt. Elden W. Joersz USAF, set a record speed of 2193.16 miles per hour. At this speed. the algebraic expression \(2193.16 t\) gives the total distance flown in \(t\) hours Find the distance flown by the SR-71A in 1.7 hours.

4 step solution

Problem 14

What are Practice exercises?

3 step solution

Problem 15

Insert \(<,>,\) or \(=\) between each pair of numbers to form a true statement. See Example \(5 .\) $$ -16-17 $$

3 step solution

Problem 15

Use a graphing calculator to check each exercise. Subtract 14 from \(8 .\)

3 step solution

Problem 15

Write each set in roster form. (List the elements of each set.) \(\\{x | x \text { is a natural number less than } 6\\}\)

3 step solution

Problem 16

Insert \(<,>,\) or \(=\) between each pair of numbers to form a true statement. See Example \(5 .\) $$ -14-24 $$

2 step solution

Problem 16

Use a graphing calculator to check each exercise. Subtract 9 from \(-3\)

3 step solution

Problem 16

Write each set in roster form. (List the elements of each set.) \(\\{x | x \text { is a natural number greater than } 6\\}\)

4 step solution

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