Lessons on Multiplying Algebraic Expressions

Multiplcation of Algebra

Mental starter

Multiple Choice

What is the answer to A + A

• 2A

• AA

• A2

• AB

Math Response

What is the value of x in the expression X + 23 = 51

Type answer here

Correct Answer: 28

Deg^°

Rad

Math Response

IF z =2 and y =4

Simplify the expression 4 + x + 5 + y =

Type answer here

Correct Answer: 15

Deg^°

Rad

Terms
Variable
Coefficient
Constant
Operation

Key Words

Open Ended

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What is an Algebraic Expression?

An algebraic expression combines numbers, variables (like x or y), and mathematical operations (like addition, subtraction, multiplication, and division).

​Basic Rules for Multiplying Algebraic Expressions

1. Multiply the Numbers (Coefficients):

   • First, multiply the numbers in front of the variables. These numbers are called coefficients.

     Multiply the Variables:

     • If the variables are the same (e.g., x and x), you add the exponents.

     • If there's no exponent written, it means the exponent is

   • Combine the Results:

     • Put the result of the coefficients together with the result of the variables.

​Steps to Follow:

1. Identify the coefficients and variables in the expression.

   • Example: 3x X 2x

2. Multiply the coefficients:

   • Multiply the numbers: 3×2=6

3. Multiply the variables:

   • Multiply x X x= x²

     Combine the results:

     • The final answer is = 6x²

Math Response

Example 1:

• Multiply 4y × 3y

Type answer here

Correct Answer: 12y^2

Deg^°

Rad

Math Response

Example 2:

• Multiply 5a × 2b

Type answer here

Correct Answer: 10ab

Deg^°

Rad

Math Response

Solve 4y x 4y

Type answer here

Correct Answer: 16y^2

Deg^°

Rad

Math Response

Simplify 7a x 6b

Type answer here

Correct Answer: 42ab

Deg^°

Rad

Math Response

25y x 4y

Type answer here

Correct Answer: 100y^2

Deg^°

Rad

Open Ended

what have you learnt today?

​ANY QUESTION?

BYE

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