Expressions and Equations

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 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 are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

Front

How do you solve for a variable in an equation?

Back

To solve for a variable, isolate the variable on one side of the equation using inverse operations.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

Evaluate the expression: 3c + 7d, if c = 3 and d = 2.

Back

23

Front

What is the solution to the equation: 3x + 2(4x - 4) = 3?

Back

x = 1

Front

How do you combine like terms in the expression: 5a + 2b - 3a + 4?

Back

The simplified expression is 2a + 2b + 4.

Front

What is the value of j in the equation: ½ = -⅛j?

Back

j = -4.