Simplifying Expressions and Equations

Mr. Best guides students through Chapter 3 homework questions 93 to 98, covering topics such as solving absolute value equations, solving for variables, evaluating rational expressions, finding equations of lines, graphing lines, and simplifying expressions using exponents. Each section provides detailed explanations and examples to help students understand and apply mathematical concepts effectively.

What is the main focus of Chapter 3 in this video?

• Learning about geometry

• Understanding calculus concepts

• Solving equations and graphing lines

• Introduction to algebraic expressions

If the absolute value of x is 7, what are the possible values of x?

• 7 and 14

• -7 and 0

• 7 and -7

• 0 and 7

How do you check if your solutions for an absolute value equation are correct?

• By graphing the solutions

• By substituting back into the original equation

• By using a calculator

• By comparing with a friend's answers

What is the solution for the equation |2x| = 32?

• x = 64 and x = -64

• x = 16 and x = -16

• x = 32 and x = -32

• x = 8 and x = -8

In the equation |x + 7| = 10, what are the solutions for x?

• x = 7 and x = -7

• x = 17 and x = -3

• x = 10 and x = -10

• x = 3 and x = -17

What is the solution for the equation |x| = 53.1?

• x = 0 and x = 53.1

• x = 53.1 and x = 0

• x = 53.1 and x = -53.1

• x = 106.2 and x = -106.2

When solving 3x - 2y = 18 for x, what is the first step?

• Multiply by 2

• Subtract 3x from both sides

• Add 2y to both sides

• Divide by 3

What is the result of solving 3x - 2y = 18 for y?

• y = 3/2x - 9

• y = -3/2x + 9

• y = -3/2x - 9

• y = 3/2x + 9

How do you solve R * T = D for R?

• Multiply both sides by T

• Subtract T from both sides

• Divide both sides by T

• Add T to both sides

What is the formula for the circumference of a circle?

• C = 2πr

• C = πr^2

• C = 2r

• C = πd