Chapter 8

For the given value, state whether each inequality is true or false. $$18-x>4, x=12$$

Solve each inequality. Check your solution. $$8 z \leq-24$$

Solve each inequality. Check your answer. $$r-5 \leq 2$$

Solve equation. Check your solution. \(12 n-23.2=-14 n+28.8\)

Solve each inequality and check your solution. Then graph the solution on a number line. $$-5 a-8>12$$

Solve each equation. Check your solution. $$4.2 x-9=3(1.2 x+4)$$

For the given value, state whether each inequality is true or false. $$14+n<23, n=8$$

Tomás wants to spend less than \(\$ 100\) for a new soccer ball and shoes. The ball costs \(\$ 24 .\) Write and solve an inequality that gives the amount that Tomás can spend on shoes.

Solve each inequality. Check your answer. $$x-6<13$$

Solve equation. Check your solution. \(3.1 w+5=0.8+w\)

Solve each inequality and check your solution. Then graph the solution on a number line. $$2(n+3)<-4$$

Solve each equation. Check your solution. $$2(x-5)=4 x-2(x+5)+1$$

For the given value, state whether each inequality is true or false. $$5 k>35, k=7$$

Montel spends \(\$ 0.75\) every time he plays his favorite video game. Montel has \(\$ 10 .\) Write and solve an inequality that shows how many times Montel can play the video game.

Define a variable and write an equation to find each number. Then solve. Twice a number is 220 less than six times the number. What is the number?

Solve each inequality. Check your answer. $$j-8 \leq-12$$

Solve each inequality and check your solution. Then graph the solution on a number line. $$2(d+1)>16$$

Solve each equation. Check your solution. $$(3 x+2)+(-x+5)=2 x-7$$

For the given value, state whether each inequality is true or false. $$\frac{14}{c}<7, c=2$$

Solve each inequality. Check your solution. Then graph the solution on a number line. $$-8 \leq-4 w$$

Define a variable and write an equation to find each number. Then solve. Fourteen less than three times a number equals the number. Find the number.

Solve each inequality. Check your answer. $$-8>h-1$$

Write and solve an inequality. You earn \(\$ 2\) for every magazine subscription you sell plus a salary of \(\$ 10\) each week. How many subscriptions do you need to sell each week to earn at least \(\$ 40\) each week?

Solve each equation. Check your solution. $$8 y-5=5(y-1)+3 y$$

For the given value, state whether each inequality is true or false. $$\frac{y}{3} \geq 2, y=9$$

Solve each inequality. Check your solution. Then graph the solution on a number line. $$-6 a>-78$$

South Carolina's coastline is 358 kilometers longer than twice the coastline of North Carolina. It is also 842 kilometers longer than the coastline of North Carolina. Find the lengths of the coastlines of South Carolina and North Carolina.

Solve each inequality. Check your answer. $$22>w-(-16)$$

Write and solve an inequality. You hike along the Appalachian Trail at 3 miles per hour. You stop for one hour for lunch. You want to walk at least 18 miles. How many hours should you expect to spend on the trail?

Solve each equation. Check your solution. $$10 z+4=2(5 z+8)-12$$

For the given value, state whether each inequality is true or false. $$16 \leq 3 d, d=8$$

Solve each inequality. Check your solution. Then graph the solution on a number line. $$-25 t \leq 400$$

Denzel is comparing Web sites for downloading music. One charges a \(\$ 5\) membership fee plus \(\$ 0.50\) per track. Another charges \(\$ 1.00\) per track, but has no monthly fee. How many songs would Denzel have to buy for him to spend the same amount at both Web sites?

Solve each inequality. Check your answer. $$-30 \leq d+(-5)$$

Solve each inequality and check your solution. Then graph the solution on a number line. $$3 x-2>10-x$$

GEOMETRY The perimeter of a rectangle is 32 feet. Find the dimensions of the rectangle if the length is 4 feet longer than three times the width. Then find the area of the rectangle.

Graph each inequality on a number line. $$a>4$$

Solve each inequality. Check your solution. Then graph the solution on a number line. $$18>-2 g$$

Solve equation. Check your solution. \(12+1.5 a=3 a\)

Solve each inequality. Then graph the solution on a number line. $$n+4<9$$

Solve each inequality and check your solution. Then graph the solution on a number line. $$c-1<3 c+5$$

BASKETBALL Camilla has three times as many points as Lynn. Lynn has five more points than Kim. Camilla, Lynn, and Kim combined have twice as many points as Jasmine. If Jasmine has 25 points, how many points does each of the other three girls have?

Graph each inequality on a number line. $$x>6$$

Solve each inequality. Check your solution. Then graph the solution on a number line. $$-\frac{y}{4} \geq 2.4$$

Solve equation. Check your solution. \(12.6-x=2 x\)

Solve each inequality. Then graph the solution on a number line. $$t+7>12$$

Solve each inequality and check your solution. Then graph the solution on a number line. \(2+0.3 y \geq 11\)

Graph each inequality on a number line. $$d \leq 5$$

Solve each inequality. Check your solution. Then graph the solution on a number line. $$\frac{n}{-5} \geq-0.8$$

Solve equation. Check your solution. \(2 b+6.2=13.2-8 b\)