Making sense of algebra (revision)

Making sense of algebra (revision)

Chapter 2

Making sense of algebra

• 2.1 using letters to represent unknown values

• 2.2 substitution

• 2.3 simplifying expressions

• 2.4 working with brackets

• 2.5 indices

2.1 using letters to represent unknown values

• Letters in algebra are called variables because they can have many different variables

• A number on its own is called a constant

• a term is a group of numbers and/or variables combined by the operations multiplication and/or division only

Open Ended

Write as an algebraic expression.

"a number increased by 12"

Open Ended

Write as an algebraic expression.

"the difference between a number and its cube"

Multiple Choice

six times the number of girls
Let g = number of girls

• 6 + g
• 6g
• g - 6

Multiple Choice

In this term, 3a²bc, what are the variables?

• 3 and 2
• 3
• 2
• a, b, and c

Multiple Choice

What is the definition of a coefficient?

• The letter used to represent a quantity
• The little number or letter used to raise to a power
• The number in front of a variable
• The number in back of a variable

Multiple Choice

The value of x²-5 if x=-3

• -14

• 1

• 4

• -11

Multiple Choice

What are "like terms"?

• Terms that share the same variable

• X and Y

• Terms that are the same number

Multiple Choice

Simplify by combining like terms:

4x + 2 - 2x -1

• 6x + 3

• 2x + 3

• 2x + 1

• 2x - 3

Multiple Choice

What are the like terms in the following expression:

2x + 3 + 2y + 3x

• 2x and 2y

• 2 and 3y

• 2x and 3x

• 2x, 3, 2y, and 3x

Multiple Choice

Is the following expression expanded correctly or incorrectly?:

10 (x - 5) = 10x - 50

• No, this is wrong!

• Yes, this is right!

Multiple Choice

Simplify: 4x²y × 9xy²

• 36x³y³
• 36xy³
• 13x²y²
• 13x³y³

Multiple Choice

Simplify: 42m¹² ÷ 7m⁶

• 6m⁶
• 6m²
• 35m⁶
• 35m²

Multiple Choice

Simplify: 3x³ × 6x⁸

• 18x¹¹
• 18x²⁴
• 9x¹¹
• 9x²⁴

Multiple Choice

Simplify 6⁵ x 6 x 6³

• 6⁸
• 216⁸
• 6⁹
• 216⁹