Word Problems Involving Algebraic Concepts

The video tutorial covers solving word problems using algebraic methods. It includes examples such as finding two numbers given their sum and difference, determining the number of eighth graders based on a given condition, calculating the number of $5 and $1 bills Bonnie has, and finding the cost of notebooks and pencils. The tutorial demonstrates the use of algebraic techniques like substitution and elimination to solve these problems.

What is the value of X if the sum of two numbers is 361 and their difference is 173?

• 94

• 267

• 173

• 361

If X + Y = 361 and X - Y = 173, what is the value of Y?

• 94

• 173

• 267

• 361

In a school, the total number of eighth graders is 356. If 34 more than four times the number of girls equals half the number of boys, how many girls are there?

• 32

• 68

• 256

• 324

Given that the number of boys is 324, what is the total number of girls and boys?

• 356

• 68

• 324

• 32

Bonnie has a total of 18 bills consisting of $5 and $1 bills, amounting to $62. How many $5 bills does she have?

• 5

• 11

• 7

• 18

If Bonnie has 11 $5 bills, how many $1 bills does she have?

• 18

• 7

• 5

• 11

A friend bought two boxes of pencils and eight notebooks for $11. If the cost of one notebook is $0.75, how much would seven notebooks cost?

• $8.25

• $7.50

• $11.00

• $5.25

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

• $0.75

• $1.00

• $1.25

• $0.50