Solving Word Problems with Equations

This video tutorial for eighth-grade students covers solving word problems using systems of equations. It includes four examples: finding two numbers based on their sum and difference, determining the number of boys and girls in a class, calculating the number of $5 and $1 bills in a wallet, and figuring out the cost of pencils and notebooks. The tutorial emphasizes decoding word problems, setting up equations, and using elimination to find solutions.

What is the first step in solving word problems using systems of equations?

• Guess the solution

• Decoding the problem

• Directly solving the equations

• Ignoring the problem statement

If the sum of two numbers is 361 and their difference is 173, what is the value of the larger number?

• 267

• 94

• 173

• 361

In a class of 356 students, 34 more than four times the number of girls equals half the number of boys. How many girls are there?

• 173

• 356

• 324

• 32

In the same class, how many boys are there?

• 173

• 356

• 32

• 324

A wallet contains $5 and $1 bills totaling 16 bills and $62. How many $5 bills are there?

• 5

• 16

• 7

• 11

How many $1 bills are in the wallet?

• 16

• 5

• 7

• 11

If two boxes of pencils and eight notebooks cost $11, and three boxes of pencils and five notebooks cost $11.25, what is the cost of one notebook?

• $1.00

• $0.75

• $1.25

• $0.50

What is the cost of one box of pencils?

• $2.00

• $2.50

• $3.50

• $3.00

How much would 7 notebooks cost?

• $5.25

• $5.50

• $5.75

• $6.00

What is the final step in solving a system of equations?

• Recalculate the solution

• Ignore the solution

• Verify the solution

• Guess the solution