Question

Please write the definitions of the following words and examples of questions involving each of these techniques.

1.Expand (multiply over brackets)
2.Collecting like terms
3.Rearranging
4.Solving equations

Answer 1

Expand (multiply over brackets), collecting like terms, rearranging, and solving equations are all important techniques in mathematics.

Step-by-step explanation:

Expand (multiply over brackets): This technique is used to distribute multiplication over addition or subtraction. For example, if we have the expression 3(2x + 5), we would expand it as 6x + 15.

Collecting like terms: This involves combining terms with the same variable and exponent. For example, if we have the expression 2x + 3x - 5x, we would collect the like terms to get 0x - 5x = -3x.

Rearranging: This technique involves changing the order of terms or moving terms to different sides of an equation. For example, if we have the equation 2x + 4 = 10, we can rearrange it to solve for x by subtracting 4 from both sides and dividing by 2 to get x = 3.

Solving equations: This refers to finding the value(s) of the variable that make an equation true. For example, if we have the equation 2x + 5 = 17, we can solve for x by subtracting 5 from both sides and dividing by 2 to get x = 6.