True Equations

The video tutorial introduces the concept of equations, explaining that they are mathematical statements with an equal sign showing two expressions are equal. It provides examples and demonstrates solving word problems using equations. The tutorial includes examples with marbles and coins, and a practice problem with cookies, emphasizing the importance of checking solutions.

What is a key feature of an equation?

• It always has a minus sign.

• It always has a multiplication sign.

• It always has an equal sign.

• It always has a plus sign.

In the marble problem, what does the variable 'm' represent?

• The number of marbles Maddy has.

• The number of marbles both Sarah and Maddy have.

• The total number of marbles.

• The number of marbles Sarah has.

How do you isolate a variable in an equation?

• Add the same number to both sides.

• Subtract the same number from both sides.

• Divide both sides by the same number.

• Multiply both sides by the same number.

In the coin problem, what does the variable 's' stand for?

• The number of coins Ben has.

• The total number of coins.

• The number of coins Sam has.

• The number of coins both Ben and Sam have.

What is the first step in solving the coin problem?

• Divide both sides by 15.

• Add 15 to both sides.

• Subtract 15 from both sides.

• Multiply both sides by 15.

In the cookie problem, what does the variable 'a' represent?

• The number of cookies Maria baked.

• The number of cookies both Maria and Alexis baked.

• The total number of cookies.

• The number of cookies Alexis baked.

What is the final step to verify the solution in the cookie problem?

• Multiply the found value in the original equation.

• Subtract the found value from the original equation.

• Substitute the found value into the original equation.

• Add the found value to the original equation.