Translating Word Problems to Equations

The video tutorial introduces the concept of equations, defining them as mathematical sentences showing equality between two expressions. It provides examples of equations and explains how to translate word problems into equations. The tutorial emphasizes the importance of the equal sign and demonstrates writing two-step equations. It concludes with solving word problems using equations.

What is an equation?

• A sentence that describes a picture

• A mathematical sentence showing two expressions are equal

• A number sentence with no variables

• A statement that only involves addition

Which of the following is an example of an equation?

• x + y

• 3 * 4 = 12

• 5 - 2

• 3 + 4

What does the equal sign in an equation signify?

• That the expressions on both sides are different

• That the expressions on both sides are equal

• That the left side is greater

• That the right side is greater

In the equation 2 + M = 9, what does M represent?

• A constant

• A solution

• A coefficient

• A variable

What is the first step in translating a word problem into an equation?

• Solve the equation

• Write the answer

• Identify the variable

• Underline the entire sentence

How would you express 'four more than twice a number is eight' as an equation?

• n + 4 = 8

• 4 + 2n = 8

• 2n + 4 = 8

• 4n = 8

What does 'three more than four times a number is 15' translate to?

• 3 + 4n = 15

• 3n + 4 = 15

• n + 3 = 15

• 4n + 3 = 15

How would you write 'five less than twice a number is seven' as an equation?

• 5n - 2 = 7

• 2n + 5 = 7

• 5 - 2n = 7

• 2n - 5 = 7

What is the equation for 'one less than four times a number is 11'?

• 4n + 1 = 11

• n - 4 = 11

• 4n - 1 = 11

• 1 - 4n = 11

Translate 'seven more than the quotient of a number and 2 is 10' into an equation.

• 7 - n/2 = 10

• 7 + n/2 = 10

• n/2 + 7 = 10

• n/2 - 7 = 10