Solving Inequalities and Equations

Chapter 4 covers solving equations and inequalities using various operations. It begins with solving equations using addition and subtraction, then moves to multiplication and division. The chapter introduces inequalities, explaining how to solve and graph them. It concludes with two-step inequalities, emphasizing the importance of flipping the inequality sign when multiplying or dividing by a negative number.

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

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 3

• Divide both sides by 3

If x/3 = -8, what operation should be performed to solve for x?

• Multiply both sides by 3

• Add 3 to both sides

• Subtract 3 from both sides

• Divide both sides by 3

In the equation 9w - 12 = -20, what should be done first to solve for w?

• Distribute the 9

• Divide both sides by 9

• Subtract 12 from both sides

• Add 12 to both sides

How do you represent the inequality 'w is greater than -3' on a number line?

• Closed circle on -3, line to the right

• Open circle on -3, line to the left

• Open circle on -3, line to the right

• Closed circle on -3, line to the left

What is the solution to the inequality d + 12 < 19?

• d < 7

• d > 7

• d ≥ 7

• d ≤ 7

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

• It becomes an equal sign

• It flips direction

• It disappears

• It stays the same

In the inequality -r/3 ≤ 6, what is the correct solution for r?

• r ≥ -18

• r ≥ 18

• r ≤ -18

• r ≤ 18

How do you solve the inequality 3x + 4 > 16?

• Subtract 4 from both sides, then divide by 3

• Add 4 to both sides, then multiply by 3

• Add 4 to both sides, then divide by 3

• Subtract 4 from both sides, then multiply by 3

What is the first step in solving the inequality z/(-2) - 6 ≤ -2?

• Add 6 to both sides

• Subtract 6 from both sides

• Multiply both sides by -2

• Divide both sides by -2

In the equation 1/3p + 9 ≤ 4, what should be done first?

• Multiply both sides by 3

• Distribute the 1/3

• Subtract 9 from both sides

• Add 9 to both sides