Linear Equations and Word Problems

The video tutorial covers solving word problems using linear equations in standard form. It includes examples such as calculating the cost of hot dogs, determining ticket sales for a school play, counting dimes in a piggy bank, and planning a fundraiser. Each example demonstrates how to set up and solve equations with two variables, emphasizing the use of substitution and elimination methods.

What is the primary focus of the video tutorial?

• Linear equations and word problems

• Geometry and shapes

• Quadratic equations

• Statistics and probability

In the standard form equation ax + by = c, what do 'a', 'b', and 'c' represent?

• Inequalities

• Fractions

• Numbers

• Variables

What is the standard form of a linear equation?

• x^2 + y^2 = r^2

• a^2 + b^2 = c^2

• ax + by = c

• y = mx + b

In the problem involving Sam, what is the cost of one hamburger?

• $4.00

• $3.50

• $2.85

• $5.25

How many hot dogs did Sam order?

• Two

• Three

• Four

• Five

What is the cost of one hot dog in Sam's problem?

• $2.85

• $3.50

• $5.25

• $4.00

In the school play problem, how much does a ticket cost at the door?

• $6

• $5

• $3

• $4

How many tickets were sold at the door if none were sold in advance?

• 44

• 88

• 100

• 120

What is the total revenue from ticket sales for the school play?

• $550

• $500

• $440

• $400

In Karen's piggy bank problem, how many quarters does she have?

• 48

• 36

• 60

• 24