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, using symbols like >, <, ≥, or ≤.

Front

How do you simplify the expression 6n + 2(3 - 5n)?

Back

The simplified expression is 6 - 4n.

Front

What is the first step in solving the inequality 3x - 5 < 4?

Back

Add 5 to both sides to isolate the term with the variable.

Front

What happens to the inequality symbol when you multiply or divide by a negative number?

Back

You must flip the inequality symbol when multiplying or dividing both sides by a negative number.

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 two or more terms inside a parenthesis.

Front

Simplify the expression 6 + 2(7x - 3).

Back

The simplified expression is 14x + 3.

Front

What is the result of (7a + 4) - (9a + 2)?

Back

The result is -2a + 2.

Front

What is the equivalent expression for 6(3y - 2y + 7)?

Back

The equivalent expression is 6y + 42.