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