Inequalities and Operations Review

The video tutorial explains how to solve and graph inequalities. It starts with solving the inequality 9x + 8 > 89 by isolating the variable x, following the reverse order of operations, and graphing the solution on a number line. The tutorial then moves on to solve 5x - 3 ≤ -8, again isolating x and graphing the solution. The video emphasizes the importance of understanding inequality signs and how they affect graphing, such as when to shade circles on the number line.

What is the first step in solving an inequality?

• Multiplying both sides by zero

• Adding numbers to both sides

• Isolating the variable

• Graphing the solution

In the inequality 9x + 8 > 89, what operation should be performed first?

• Multiply both sides by 9

• Subtract 8 from both sides

• Divide both sides by 9

• Add 8 to both sides

After subtracting 8 from both sides in the inequality 9x + 8 > 89, what is the next step?

• Subtract 9 from both sides

• Multiply both sides by 9

• Divide both sides by 9

• Add 9 to both sides

What is the result of subtracting 8 from 89 in the inequality 9x + 8 > 89?

• 82

• 80

• 79

• 81

What is the result of dividing 81 by 9 in the inequality 9x + 8 > 89?

• 7

• 8

• 9

• 10

What is the opposite operation of multiplying by 9?

• Adding 9

• Subtracting 9

• Dividing by 9

• Multiplying by 9

What does the solution x > 9 mean on a number line?

• Draw an arrow to the right from 9

• Draw an arrow to the left from 9

• Circle the number 9

• Shade the number 9

When graphing x > 9, why is the circle not shaded?

• Because the inequality is equal to

• Because 9 is included

• Because the inequality is less than

• Because 9 is not included

What does an unshaded circle on a number line indicate?

• The number is included

• The number is not included

• The inequality is equal to

• The inequality is not equal to

What is the first step in solving the inequality 5x - 3 ≤ -8?

• Divide both sides by 5

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 5