Solving Word Problems with Linear Equations

The video tutorial covers the application of linear equations in solving word problems. It introduces a five-step method for solving such problems, including reading the problem, representing values with variables, translating conditions into equations, solving the equations, and checking the answers. Three examples are provided: finding consecutive odd integers with a given sum, determining angles in a right triangle, and calculating side lengths of a triangle with a specified perimeter.

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

• Translate the condition into an equation

• Read the problem and identify what is required

• Solve the equation to get the value of the variable

• Check the answer if it satisfies the condition of the problem

Which step involves representing the required value by a variable?

• Step 1

• Step 2

• Step 3

• Step 4

In Example 1, what is the equation formed to find the three consecutive odd integers?

• n + 2 + 4 = 135

• n + n + n = 135

• n + (n + 2) + (n + 4) = 135

• n + 2n + 4n = 135

What is the value of the first odd integer in Example 1?

• 41

• 42

• 43

• 44

In Example 2, what is the measure of the smallest angle in the right triangle?

• 30 degrees

• 50 degrees

• 20 degrees

• 40 degrees

What is the sum of all angles in a triangle?

• 90 degrees

• 180 degrees

• 360 degrees

• 270 degrees

In Example 3, what is the perimeter of the triangle?

• 20 feet

• 25 feet

• 30 feet

• 15 feet

What is the length of the first side of the triangle in Example 3?

• 8 feet

• 5 feet

• 6 feet

• 7 feet

How is the third side of the triangle in Example 3 described?

• Equal to the first side

• Five feet less than twice the first side

• Three feet less than the first side

• Twice the first side

What is the final step in solving a word problem involving linear equations?

• Translate the condition into an equation

• Answer the question with a complete sentence

• Check the answer if it satisfies the condition of the problem

• Solve the equation to get the value of the variable