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