Solving Story Problems with Systems of Linear Equations

The video tutorial explains how to solve word problems involving costs and quantities using algebraic equations. It covers setting up equations based on given scenarios, identifying variables, and solving these equations using methods like elimination and substitution. Two examples are provided: one involving the cost of bottled water and candy bars, and another involving the number of paperback and hardcover books.

What is the first step in solving a word problem involving costs?

• Ignore the problem statement

• Identify the unknowns and variables

• Write down random numbers

• Guess the answer

Which variable is used to represent the cost of a bottled water?

• C

• D

• W

• B

What method is used to solve the system of equations in this problem?

• Substitution

• Graphing

• Elimination

• Matrices

After eliminating the variable C, what is the next step?

• Multiply the equations

• Divide the equations

• Add the equations together

• Subtract the equations

What is the cost of a bottled water after solving the equations?

• $2.00

• $1.25

• $1.50

• $1.00

How do you find the cost of a candy bar after finding the cost of bottled water?

• Use the elimination method again

• Substitute the cost of bottled water into one of the original equations

• Guess the cost

• Use a calculator

What is the cost of a candy bar?

• $1.25

• $0.50

• $0.75

• $1.00

In the new problem, what do the variables P and H represent?

• Pencils and Erasers

• Pens and Highlighters

• Paperback and Hardcover books

• Paper and Homework

How many total books were purchased in the new problem?

• 5

• 20

• 10

• 15

What method is used to solve the new problem involving books?

• Elimination

• Matrices

• Graphing

• Substitution