Translating Algebraic Expressions to Numerical Equations

The video tutorial introduces algebraic expressions and equations, highlighting their differences. It explains that expressions contain numbers, variables, and operations without an equal sign, while equations include an equal sign. The tutorial also covers translating words into algebraic expressions and equations, associating specific words with mathematical operations like addition, subtraction, multiplication, and division. Several examples are provided to illustrate these concepts, helping learners understand how to write and interpret algebraic expressions and equations.

Which of the following is an example of an algebraic expression?

• x + 3 = 7

• 3x + 8 = 6

• 2 + 5 = y

• 2x + 3y

What is the main difference between an algebraic expression and an algebraic equation?

• An algebraic expression contains an equal sign, while an algebraic equation does not.

• An algebraic equation contains an equal sign, while an algebraic expression does not.

• An algebraic expression contains only numbers, while an algebraic equation contains variables.

• An algebraic equation contains only numbers, while an algebraic expression contains variables.

Which of the following is an example of an algebraic equation?

• 2x + 3y

• 2 + 3

• x + y

• 2 + 5 = y

Which word is associated with addition in algebraic expressions?

• Quotient

• Sum

• Difference

• Product

Which word is associated with multiplication in algebraic expressions?

• Divided by

• Times

• Increased by

• Less than

Which word is associated with subtraction in algebraic expressions?

• Difference

• Product

• Sum

• Quotient

Which word is associated with division in algebraic expressions?

• Quotient

• Times

• Increased by

• Sum

How would you translate 'the sum of a number and 12 is seven' into a numerical equation?

• n - 12 = 7

• n + 12 = 7

• n * 12 = 7

• n / 12 = 7

How would you translate 'the product of a number and seven' into a numerical expression?

• n + 7

• n - 7

• n / 7

• n * 7

How would you translate 'the quotient of six and a number is 15' into a numerical equation?

• 6 / x = 15

• 6 * x = 15

• 6 - x = 15

• 6 + x = 15