Chapter 3

Elementary Algebra Within Reach · 455 exercises

Problem 1

Write a verbal description of the inequality and sketch its graph. $$x \geq 3$$

2 step solution

Problem 1

Write the ratio as a fraction in simplest form. 36 to 9

3 step solution

Problem 1

Convert the decimal or fraction to a percent. $$0.62$$

3 step solution

Problem 1

Solve the equation and check your solution. $$2(y-4)=0$$

4 step solution

Problem 1

Solve the equation mentally. $$x-9=0$$

3 step solution

Problem 2

Write a verbal description of the inequality and sketch its graph. $$z>8$$

2 step solution

Problem 2

Write the ratio as a fraction in simplest form. 45 to 15

3 step solution

Problem 2

Convert the decimal or fraction to a percent. $$0.57$$

3 step solution

Problem 2

Solve the equation and check your solution. $$9(y-7)=0$$

3 step solution

Problem 2

Solve the equation mentally. $$u-3=0$$

3 step solution

Problem 3

Write a verbal description of the inequality and sketch its graph. $$x \leq 10$$

3 step solution

Problem 3

Write the ratio as a fraction in simplest form. 27 to 54

2 step solution

Problem 3

Convert the decimal or fraction to a percent. $$0.075$$

3 step solution

Problem 3

Solve the equation and check your solution. $$12(x-3)=0$$

3 step solution

Problem 3

Solve the equation mentally. $$x+6=0$$

3 step solution

Problem 4

Write a verbal description of the inequality and sketch its graph. $$t<0$$

3 step solution

Problem 4

Write the ratio as a fraction in simplest form. 27 to 63

3 step solution

Problem 4

Convert the decimal or fraction to a percent. $$0.005$$

3 step solution

Problem 4

Solve the equation and check your solution. $$4(z-8)=0$$

4 step solution

Problem 4

Solve the equation mentally. $$a+5=0$$

3 step solution

Problem 5

Write a verbal description of the inequality and sketch its graph. $$y<-9$$

3 step solution

Problem 5

Geometry A triangular piece of stained glass has an area of 6 square inches and a height of 3 inches. What is the length of the base?

4 step solution

Problem 5

Write the ratio as a fraction in simplest form. \(5 \frac{2}{3}\) to \(1 \frac{1}{3}\)

3 step solution

Problem 5

Convert the decimal or fraction to a percent. $$\frac{4}{5}$$

3 step solution

Problem 5

Solve the equation and check your solution. $$7(x+5)=49$$

4 step solution

Problem 5

Decide which operation you would use first to solve the equation. $$x+8=0$$

2 step solution

Problem 6

Write a verbal description of the inequality and sketch its graph. $$x \leq-2$$

2 step solution

Problem 6

Geometry A dime has a circumference of about \(56.27\) millimeters. What is the radius of a dime? Round your answer to two decimal places.

5 step solution

Problem 6

Write the ratio as a fraction in simplest form. \(2 \frac{1}{4}\) to \(3 \frac{3}{8}\)

3 step solution

Problem 6

Convert the decimal or fraction to a percent. $$\frac{1}{4}$$

4 step solution

Problem 6

Solve the equation and check your solution. $$4(x+1)=24$$

4 step solution

Problem 6

Decide which operation you would use first to solve the equation. $$p-1=0$$

3 step solution

Problem 7

Write a verbal description of the inequality and sketch its graph. $$5 \leq z \leq 10$$

3 step solution

Problem 7

Geometry An Olympic-size swimming pool in the shape of a rectangular solid has a volume of 3125 cubic meters, a length of 50 meters, and a width of 25 meters. What is the depth of the pool?

3 step solution

Problem 7

Write the ratio as a fraction in simplest form. \(14: 21\)

3 step solution

Problem 7

Convert the decimal or fraction to a percent. $$\frac{5}{4}$$

3 step solution

Problem 7

Solve the equation and check your solution. $$-5(t+3)=10$$

4 step solution

Problem 7

Decide which operation you would use first to solve the equation. $$\frac{y}{2}=0$$

3 step solution

Problem 8

Write a verbal description of the inequality and sketch its graph. $$-3

3 step solution

Problem 8

Geometry A cylindrical bass drum has a volume of about 3054 cubic inches and a radius of 9 inches. What is the height of the drum? Round your answer to one decimal place.

4 step solution

Problem 8

Write the ratio as a fraction in simplest form. \(12: 30\)

4 step solution

Problem 8

Convert the decimal or fraction to a percent. $$\frac{6}{5}$$

3 step solution

Problem 8

Solve the equation and check your solution. $$-3(x+1)=18$$

4 step solution

Problem 8

Decide which operation you would use first to solve the equation. $$3 z=0$$

3 step solution

Problem 9

Investment Mixture You invested a total of \(S 6000\) in 2 funds earning \(7 \%\) and \(9 \%\) simple interest. During 1 year, the 2 funds earned a total of \(\$ 500\) in interest. How much did you invest in each fund?

4 step solution

Problem 9

Write the ratio as a fraction in simplest form. \(144: 16\)

3 step solution

Problem 9

Convert the percent to a decimal. $$12 \%$$

6 step solution

Problem 9

Solve the equation and check your solution. $$15(x+1)-8 x=29$$

4 step solution

Problem 9

Decide which operation you would use first to solve the equation. $$2 x+4=0$$

4 step solution

Problem 10

Write a verbal description of the inequality and sketch its graph. $$-3 \geq t>-3.8$$

3 step solution

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