Solving Linear Equations in Real-Life Scenarios

The video tutorial covers how to create and solve linear equations from word problems. It begins with an introduction to the importance of defining variables and writing equations. The tutorial then provides several examples, including calculating the cost of jeans, determining hours worked from earnings, solving sum and product problems, comparing gym membership costs, and finding when two bank accounts have equal amounts. Each example demonstrates the process of defining variables, writing equations, and solving them.

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

• Check the solution

• Solve the equation

• Define the variable

• Create an equation

If Megan spent $56.58 on three pairs of jeans, what is the equation to find the cost of one pair?

• x + 3 = 56.58

• 3 + x = 56.58

• 3x = 56.58

• x/3 = 56.58

Andrew earns $15 per hour and a $20 bonus. If he earned $85, how many hours did he work?

• 6 hours

• 5 hours

• 4 hours

• 3 hours

In the equation 15x + 20 = 85, what does the 20 represent?

• Total earnings

• Number of hours

• Hourly rate

• Bonus

The sum of 10 times a number and 24 is 74. What is the number?

• 7

• 5

• 4

• 6

The quotient of a number and 4 decreased by 6 is 22. What is the number?

• 112

• 104

• 96

• 88

What does the term 'quotient' mean in a word problem?

• Multiplication

• Subtraction

• Addition

• Division

If a number decreased by 8 and the difference is multiplied by 10 equals 50, what is the number?

• 13

• 10

• 12

• 11

Urban Active gym costs $10 per month with a $70 fee, and Fitworks costs $15 per month with a $35 fee. After how many months will the costs be the same?

• 8 months

• 6 months

• 5 months

• 7 months

Ollie has $325 and deposits $15 weekly. Riku has $10 and deposits $60 weekly. After how many weeks will they have the same amount?

• 5 weeks

• 8 weeks

• 7 weeks

• 6 weeks