Unit 4: Expressions Review

Front

What is the Identity Property in mathematics?

Back

The Identity Property states that when you add zero to a number or multiply a number by one, the result is the original number. For example, a + 0 = a and a × 1 = a.

Front

What is the Commutative Property?

Back

The Commutative Property states that the order in which you add or multiply numbers does not change the result. For example, a + b = b + a and a × b = b × a.

Front

What is the Associative Property?

Back

The Associative Property states that the way in which numbers are grouped when adding or multiplying does not change the result. For example, (a + b) + c = a + (b + c) and (a × b) × c = a × (b × c).

Front

What is the Distributive Property?

Back

The Distributive Property states that a number multiplied by a sum is equal to the sum of the individual products. For example, a(b + c) = ab + ac.

Front

How do you express 'one third of the cookies in the jar' algebraically?

Back

The expression is j ÷ 3, where j represents the total number of cookies.

Front

What is the value of 3 + 7m if m = 4?

Back

The value is 31, calculated as 3 + 7(4) = 3 + 28 = 31.

Front

What is the value of 6r + 8 if r = 3/4?

Back

The value is 12 1/2, calculated as 6(3/4) + 8 = 4.5 + 8 = 12.5.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting numbers for variables and performing the operations.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown number or value in mathematical expressions and equations.

Front

What is an algebraic expression?

Back

An algebraic expression is a combination of numbers, variables, and operations (like addition, subtraction, multiplication, and division) that represents a value.