Topic 3: Write and Evaluate Expressions

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of the variables involved.

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you find the GCF of 65 and 75?

Back

The GCF of 65 and 75 is 5.

Front

What is the formula to evaluate the cost of driving a certain distance?

Back

The cost can be evaluated using the formula: Total Cost = Fixed Cost + (Cost per Mile * Miles Driven).

Front

Evaluate the expression 75 + 0.55m for m = 300.

Back

The total cost is $240.

Front

What is the distributive property in mathematics?

Back

The distributive property states that a(b + c) = ab + ac.

Front

Are the expressions 3(5b - 2) and 8b - 5 equivalent?

Back

No, they are not equivalent.

Front

What is a variable in an expression?

Back

A variable is a symbol (often a letter) that represents an unknown value.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with specific numbers.