Solving Two Step Equation Word Problems

The video tutorial reviews solving two-step equation word problems using examples. It begins with an introduction to the steps involved in solving such problems, including defining variables, writing equations, solving them, and checking answers. Three examples are provided: calculating the number of coffee refills, determining boat rental hours, and finding the price of fair tickets. Each example follows the structured approach of defining variables, setting up equations, solving them, and verifying the solutions.

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

• Define the variable

• Check the answer

• Solve the equation

• Write the equation

Tags

CCSS.7.EE.B.4A

In the refill mug problem, what does the variable 'x' represent?

• The cost of the mug

• The cost of one refill

• The total amount spent

• The number of refills

Tags

CCSS.HSF.LE.B.5

What is the equation used to solve the refill mug problem?

• 1.50x + 8.95 = 26.95

• 1.50 + 8.95x = 26.95

• 8.95x + 1.50 = 26.95

• 8.95 + 1.50x = 26.95

Tags

CCSS.7.EE.B.4A

After subtracting 8.95 from both sides in the refill mug problem, what is the next step?

• Add 1.50 to both sides

• Multiply both sides by 1.50

• Divide both sides by 1.50

• Subtract 1.50 from both sides

Tags

CCSS.HSA.REI.A.1

In the boat rental problem, what does the variable 'x' represent?

• The hourly rate

• The number of hours rented

• The total cost

• The insurance fee

Tags

CCSS.HSF.LE.B.5

What is the equation used to solve the boat rental problem?

• 10x + 22 = 98

• 22x - 10 = 98

• 22x + 10 = 98

• 22 + 10x = 98

Tags

CCSS.7.EE.B.4A

After subtracting 10 from both sides in the boat rental problem, what is the next step?

• Add 22 to both sides

• Multiply both sides by 22

• Divide both sides by 22

• Subtract 22 from both sides

Tags

CCSS.HSA.REI.A.1

In the fair ticket problem, what does the variable 'x' represent?

• The total cost

• The number of tickets

• The coupon value

• The price of one ticket

What is the equation used to solve the fair ticket problem?

• 4x - 20 = 100

• 4x = 100

• 4x + 20 = 100

• x - 20 = 100

Tags

CCSS.7.EE.B.4A

After adding 20 to both sides in the fair ticket problem, what is the next step?

• Divide both sides by 4

• Add 4 to both sides

• Subtract 4 from both sides

• Multiply both sides by 4

Tags

CCSS.HSA.REI.A.1