Translating Variables and Expressions in Algebra

This video tutorial covers the basics of variables, constants, and expressions in Algebra 1. It explains the differences between expressions and equations, and how to translate words into algebraic expressions. The video also demonstrates how to evaluate expressions using substitution and the order of operations, including complex expressions with nested operations.

What is a variable in algebra?

• A fixed number

• A type of equation

• A letter or symbol representing a value that can change

• A mathematical operation

Which of the following is a constant?

• y

• x

• 5

• z

What type of expression is '6x^2 - 7x + 1'?

• Monomial

• Binomial

• Trinomial

• Polynomial

Which term indicates addition?

• Product

• Difference

• Sum

• Quotient

What does the term 'quotient' refer to?

• Subtraction

• Addition

• Multiplication

• Division

How would you write '9 + R' in words?

• Nine multiplied by R

• Nine increased by R

• Nine divided by R

• Nine decreased by R

Which phrase correctly represents 'Q - 3'?

• Three times Q

• Q divided by three

• Q increased by three

• Three less than Q

What is the first step in evaluating an expression?

• Dividing all numbers

• Substituting the given values

• Multiplying all numbers

• Adding all numbers

In the expression '2x + y - 3z', if x=10, y=12, and z=-2, what is the value?

• 18

• 48

• 28

• 38

What is the simplified form of the expression '14 + (-6)^2 - 4 * 10'?

• 64

• 24

• 84

• 44