Simplify and Evaluate Expressions

What is a like term?

• Terms that have different variables

• Terms that have the same variable raised to the same power

• Terms that are always positive

• Terms that can be added together regardless of their variables

What is the purpose of simplifying expressions in algebra?

• To make it easier to solve equations and understand relationships between variables.

• To make equations more complex and difficult to solve.

• To eliminate the need for variables in equations.

• To create more equations without solutions.

• 8(x + 5)

• 4(2x + 10)

• 2(4x + 20)

• 8(x + 4)

What is the distributive property?

• The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parenthesis.

• The distributive property states that a(b + c) = a + b + c. It allows you to add a single term to each term inside a parenthesis.

• The distributive property states that a(b + c) = a(b) + a(c). It allows you to multiply a single term by the sum of two terms.

• The distributive property states that a(b + c) = ab - ac. It allows you to subtract a single term from each term inside a parenthesis.

Simplify the expression: @@3(2x + 1) + 2(x - 4)@@

• @@8x - 5@@

• @@6x - 5@@

• @@8x + 5@@

• @@6x + 5@@

What is the greatest common factor (GCF)?

• The smallest number that divides all the terms in an expression without leaving a remainder.

• The largest number that divides all the terms in an expression without leaving a remainder.

• The number that is the sum of all terms in an expression.

• The number that is the product of all terms in an expression.

What is the difference between an expression and an equation?

• An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal.

• An expression is a statement that can be true or false, while an equation is a mathematical sentence that shows the relationship between two expressions.

• An expression is always a single number, while an equation can have multiple variables.

• An expression can only contain numbers, while an equation can contain both numbers and letters.

What is an algebraic expression?

• A mathematical phrase that can include numbers, variables, and operation symbols.

• A type of equation that only contains numbers.

• A formula used to calculate the area of shapes.

• A graphical representation of data.

What is the result of evaluating the expression @@2x + 3@@ when @@x = 4@@?

• 9

• 10

• 11

• 12

How do you factor an expression?

• Factoring an expression involves rewriting it as a product of its factors, often by finding the greatest common factor (GCF).

• Factoring an expression means adding all the terms together to simplify it.

• Factoring an expression is the process of dividing it by its highest term.

• Factoring an expression requires finding the square root of each term.