Expressions, Equations, Inequalities (7th Grade)

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 is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing an equal sign (=).

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

What are like terms?

Back

Like terms are terms in an expression that have the same variable raised to the same power.

Front

What is the purpose of inverse operations?

Back

Inverse operations are used to undo each other, helping to isolate a variable in an equation.

Front

How do you solve the equation 0 = 8z + 8?

Back

To solve for z, subtract 8 from both sides to get -8 = 8z, then divide by 8 to find z = -1.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and reduce it to its simplest form.

Front

What is the distributive property?

Back

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

Front

How do you write an equation from a word problem?

Back

Identify the quantities involved, assign variables, and translate the relationships into a mathematical equation.

Front

What is the solution to the equation 6x + 7 = 331?

Back

To solve for x, subtract 7 from both sides to get 6x = 324, then divide by 6 to find x = 54.