Solving Inequalities and Equations

Chapter 4 covers solving equations and inequalities, focusing on addition, subtraction, multiplication, and division. It introduces graphing inequalities and solving two-step inequalities, emphasizing the importance of inverse operations and sign changes when dealing with negative numbers.

What is the first step in solving the equation p - 3 = -4?

• Add 3 to both sides

• Subtract 3 from both sides

• Divide both sides by 3

• Multiply both sides by 3

How do you isolate x in the equation x/3 = -8?

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 3 from both sides

• Add 3 to both sides

What should you do first when solving the equation 9w - 12 = -20?

• Subtract 12 from both sides

• Add 12 to both sides

• Distribute the 9

• Divide both sides by 9

When graphing the inequality q > -1.3, what type of circle should be used?

• Closed circle

• Open circle

• Shaded circle

• No circle

What happens to the inequality sign when you multiply both sides by a negative number?

• It stays the same

• It flips direction

• It becomes an equal sign

• It disappears

In the inequality 3x + 4 > 16, what is the first step to isolate x?

• Add 4 to both sides

• Subtract 4 from both sides

• Multiply both sides by 3

• Divide both sides by 3

How do you solve the inequality z/(-2) - 6 ≤ -2?

• Add 6 to both sides, then multiply by -2

• Subtract 6 from both sides, then multiply by -2

• Add 6 to both sides, then divide by -2

• Subtract 6 from both sides, then divide by -2

What is the solution to the inequality 3x + 4 > 16 after isolating x?

• x > 4

• x < 4

• x ≤ 4

• x ≥ 4

In the inequality -4 > -4/3s, what operation is needed to solve for s?

• Divide by 3/4

• Multiply by 3/4

• Divide by -4/3

• Multiply by -4/3

What is the final step in solving the inequality 1/3p + 9 ≤ 4?

• Add 9 to both sides

• Subtract 9 from both sides

• Multiply by 3

• Divide by 1/3