Solving Equations and Word Problems

Mrs. Sherg introduces solving equations, starting with a refresher on basic techniques and the importance of maintaining balance. She provides step-by-step examples, including solving equations with variables and constants. The lesson progresses to modeling and solving word problems, emphasizing the importance of writing equations to represent real-world situations. Finally, Mrs. Sherg demonstrates using deductive reasoning to solve equations, highlighting the need for justification of each step.

What is the main goal when solving an equation?

• To find the value of the variable

• To balance both sides of the equation

• To simplify the equation

• To eliminate all numbers

What should you do if you perform an operation on one side of an equation?

• Add a constant to both sides

• Perform the same operation on the other side

• Perform the opposite operation on the other side

• Ignore the other side

In what order should you undo operations when solving equations?

• Order of operations

• Reverse order of operations

• Random order

• Alphabetical order

What is the first step in solving the equation 3x - 5 = -8?

• Divide both sides by 3

• Add 5 to both sides

• Multiply both sides by 3

• Subtract 5 from both sides

When solving word problems, what is the first thing you should do?

• Write an equation to model the situation

• Solve the equation immediately

• Guess the answer

• Ignore the problem

If a music store sells a guitar for $120, which is $25 more than half the cost of a new guitar, what is the equation to find the cost of the new guitar?

• C = 120 - 25

• C = 120 + 25

• 120 = C + 25

• 120 = 25 + 0.5C

What is the subtraction property of equality?

• Adding a number to both sides

• Subtracting the same number from both sides keeps the equation balanced

• Subtracting different numbers from both sides keeps the equation balanced

• Subtracting a number from one side only