Writing 2-Step Equations from Word Problems

The video tutorial covers how to write and solve two-step equations from word problems. It includes examples such as solving for a number in an equation, determining test grades, calculating distances, finding dimensions of a rectangular map, and determining the cost of a digital camera. The tutorial emphasizes identifying variables, translating word problems into mathematical expressions, and solving equations step-by-step. It concludes with tips for setting up and solving two-step equations effectively.

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

• Identify the variable

• Check the solution

• Solve the equation directly

• Translate the entire problem into a single equation

In the first example, what operation does the word 'sum' indicate?

• Multiplication

• Addition

• Division

• Subtraction

In the first example, what is the final value of the variable 'n'?

• -5

• 5

• 10

• -10

In the second example, what is the relationship between the highest and lowest grades?

• The highest grade is 42 points lower than the lowest grade

• The highest grade is twice the lowest grade

• The highest grade is 42 points higher than the lowest grade

• The highest grade is half the lowest grade

What is the lowest grade in the second example?

• 48

• 42

• 138

• 96

In the third example, how far did Rhonda drive?

• 30 miles

• 60 miles

• 90 miles

• 45 miles

In the third example, how far did Jamie drive?

• 30 miles

• 60 miles

• 45 miles

• 90 miles

In the fourth example, what is the width of the rectangular map?

• 15 inches

• 25 inches

• 10 inches

• 50 inches

In the video tutorial, what is the first step in solving the equation for the cost of the name-brand camera?

• Multiply both sides by 3

• Subtract 17 from both sides

• Divide both sides by 3

• Add 17 to both sides

What is the final cost of the name-brand camera in the video tutorial?

• $83

• $100

• $17

• $249