Chapter 8

Prealgebra · 301 exercises

Problem 1

Solve each inequality and check your solution. Then graph the solution on a number line. $$3 x+4 \leq 31$$

4 step solution

Problem 1

Solve each inequality. Check your solution. $$2 x<8$$

5 step solution

Problem 1

Solve each equation. Check your solution. $$3(g-3)=6$$

4 step solution

Problem 1

Solve each inequality. Check your solution. $$x+3<8$$

3 step solution

Problem 1

Write an inequality for each sentence. Lacrosse practice will be no more than 45 minutes.

3 step solution

Problem 1

Solve equation. Check your solution. \(4 x-8=5 x\)

4 step solution

Problem 2

Solve each inequality and check your solution. Then graph the solution on a number line. $$12 a-4>20$$

4 step solution

Problem 2

Solve each inequality. Check your solution. $$3 x \geq-6$$

3 step solution

Problem 2

Solve each equation. Check your solution. $$4(x+1)=28$$

4 step solution

Problem 2

Write an inequality for each sentence. Mario is more than 60 inches tall.

3 step solution

Problem 2

Solve equation. Check your solution. \(4 x+9=7 x\)

3 step solution

Problem 3

Solve each inequality and check your solution. Then graph the solution on a number line. $$2 n+5>11-n$$

5 step solution

Problem 3

Solve each equation. Check your solution. $$2(a-2)=3(a-5)$$

4 step solution

Problem 3

Solve each inequality. Check your solution. $$4 x<4$$

2 step solution

Problem 3

Solve each inequality. Check your solution. $$-13 \geq 9+b$$

2 step solution

Problem 3

More than 8000 fans attended the Wizards' opening soccer game at Arrowhead Stadium in Kansas City, Missouri. Write an inequality to describe the attendance.

4 step solution

Problem 3

Solve equation. Check your solution. \(12 x=2 x+40\)

5 step solution

Problem 4

Solve each inequality and check your solution. Then graph the solution on a number line. $$y+1 \geq 4 y+4$$

6 step solution

Problem 4

Solve each equation. Check your solution. $$16(z+3)=4(z+9)$$

5 step solution

Problem 4

Solve each inequality. Check your solution. $$\frac{7}{2} y>63$$

4 step solution

Problem 4

For the given value, state whether the inequality is true or false . $$n+4>6, n=12$$

3 step solution

Problem 4

Solve each inequality. Check your solution. $$a-5>6$$

3 step solution

Problem 4

Solve equation. Check your solution. \(6 a=26+4 a\)

3 step solution

Problem 5

Solve each inequality and check your solution. Then graph the solution on a number line. $$16-2 c<14$$

4 step solution

Problem 5

Solve each equation. Check your solution. $$5(2 c+7)=80$$

4 step solution

Problem 5

Solve each inequality. Check your solution. $$\frac{3}{4} \leq \frac{5}{7} y$$

5 step solution

Problem 5

For the given value, state whether the inequality is true or false . $$34 \leq 4 r, r=8$$

3 step solution

Problem 5

Solve each inequality. Check your solution. $$c-(-2) \leq 3$$

3 step solution

Problem 5

Solve equation. Check your solution. \(4 x-1=3 x+2\)

3 step solution

Problem 6

Solve each inequality and check your solution. Then graph the solution on a number line. $$18 \leq 12-2 n$$

4 step solution

Problem 6

Solve each equation. Check your solution. $$6(3 d+5)=75$$

4 step solution

Problem 6

Graph each inequality on a number line. $$n>3$$

5 step solution

Problem 6

Solve each inequality. Check your solution. $$\frac{3}{24} y \leq \frac{1}{4}$$

4 step solution

Problem 6

Solve each inequality. Check your solution. $$-5

3 step solution

Problem 6

Solve equation. Check your solution. \(4 k+24=6 k-10\)

5 step solution

Problem 7

Solve each inequality and check your solution. Then graph the solution on a number line. $$-3(b-1)>18$$

6 step solution

Problem 7

GEOMETRY The perimeter of a rectangle is 20 feet. The width is 4 feet less than the length. Find the dimensions of the rectangle.

6 step solution

Problem 7

Koto delivers pizzas on weekends. Her average tip is \(\$ 1.50\) for each pizza that she delivers. How many pizzas must she deliver to earn at least \(\$ 20\) in tips? $$\mathbf{A} 10$$ $$\mathbf{B} 13$$ $$\mathbf{C} 14$$ $$\mathbf{D} 20$$

5 step solution

Problem 7

Graph each inequality on a number line. $$y \leq 14$$

4 step solution

Problem 7

Solve each inequality. Then graph the solution on a number line. $$h+4>4$$

2 step solution

Problem 7

Solve equation. Check your solution. \(7.2-3 c=2 c-2\)

4 step solution

Problem 8

Solve each inequality and check your solution. Then graph the solution on a number line. $$-2(k+1) \geq 16$$

5 step solution

Problem 8

Solve each equation. Check your solution. $$12-h=-h+3$$

3 step solution

Problem 8

Graph each inequality on a number line. $$x<7$$

5 step solution

Problem 8

Solve each inequality. Then graph the solution on a number line. $$x-6 \leq 4$$

4 step solution

Problem 8

Solve equation. Check your solution. \(3-3.7 b=10.3 b+10\)

4 step solution

Problem 9

A company pays Dante's Web site for advertising on the site. The Web site earns \(\$ 10\) per month plus \(\$ 0.05\) each time a visitor to the site clicks on the advertisement. What is the least number of clicks he needs to make \(\$ 45\) per month or more from this advertiser?

3 step solution

Problem 9

Solve each equation. Check your solution. $$3 n+4=3(n+2)$$

4 step solution

Problem 9

Solve each inequality. Check your solution. Then graph the solution on a number line. $$-8 z \leq-24$$

3 step solution

Problem 9

Graph each inequality on a number line. $$d \geq-6$$

5 step solution

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