Solving Word Problems with Equations

In this lesson, Mr. Schenkel introduces systems of equations and demonstrates how to solve them through various examples. The video covers creating equations from word problems, solving for unknowns, and applying these skills to real-world scenarios such as counting students, money, farm animals, and calculating dimensions and angles. The lesson emphasizes understanding and applying mathematical concepts to solve problems effectively.

What is the sum of two numbers if their difference is 173 and one of the numbers is 217?

• 450

• 390

• 361

• 434

If there are 356 students in total, and 34 more than four times the number of girls is the number of boys, how many girls are there?

• 60

• 50

• 45

• 32

In a school with 356 students, if the number of boys is 34 more than four times the number of girls, how many boys are there?

• 200

• 250

• 300

• 324

A person has 18 bills in total, consisting of five-dollar and one-dollar bills, amounting to $62. How many five-dollar bills does she have?

• 9

• 5

• 7

• 11

If a person has 11 five-dollar bills and 7 one-dollar bills, what is the total amount of money?

• $62

• $55

• $60

• $65

A friend bought two boxes of pencils and eight notebooks for $11. How much does each notebook cost if three boxes of pencils and five notebooks cost $11.25?

• $0.50

• $1.25

• $1.00

• $0.75

If a notebook costs $0.75, how much would seven notebooks cost?

• $5.25

• $6.00

• $4.50

• $7.00

A farm has 42 animals in total, consisting of cows and chickens. If there are 114 legs in total, how many cows are there?

• 30

• 20

• 15

• 25

In a rectangle, if the length is four times the width and the perimeter is 45 inches, what is the width?

• 7 inches

• 6 inches

• 5 inches

• 4.5 inches

If the sum of angles x and y is 127 degrees, and angle x is 34 more than half of angle y, what is the measure of angle x?

• 60 degrees

• 70 degrees

• 65 degrees

• 75 degrees