Solving 2-Step Word Problems

The video tutorial covers solving two-step equations using word problems. It begins with an introduction to defining variables and setting up equations in the form ax + b = c. The instructor provides four examples: a farmer's market, a cookie jar, a car savings plan, and a balloon delivery service. Each example demonstrates how to define variables, set up equations, and solve them step-by-step. The tutorial emphasizes the importance of showing work and checking solutions.

What is the first step in solving a two-step equation?

• Add a constant to both sides

• Define the variable

• Divide both sides by a number

• Multiply both sides by a number

In the equation ax + b = c, what does 'c' represent?

• The coefficient of x

• The sum of a and b

• The total or constant

• The variable

If a problem asks for the number of hours, what should x represent?

• The total cost

• The number of hours

• The amount of money

• The number of people

In the farmer's market example, what does 7x represent?

• The initial cost

• The cost per hour

• The number of hours

• The total cost

What is the equation for the cookie jar problem?

• 2x + 32 = 14

• 32 - 2x = 14

• 32 + 2x = 14

• 2x - 32 = 14

How do you solve for x in the equation 32 - 2x = 14?

• Divide both sides by 2

• Add 32 to both sides

• Subtract 32 from both sides

• Multiply both sides by 2

In the car savings example, what does 500x represent?

• The total savings

• The number of months

• The monthly savings

• The initial amount

How many months will it take Phil to save enough for the car?

• 25 months

• 10 months

• 15 months

• 20 months

What is the equation for the balloon delivery problem?

• 3x + 2 = 33

• 3x - 2 = 33

• 2x - 3 = 33

• 2x + 3 = 33

If you have $33, how many balloons can you get delivered?

• 12 balloons

• 10 balloons

• 18 balloons

• 15 balloons