Expressions and Equations Unit Test

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

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 does it mean to simplify an expression?

Back

Simplifying an expression means to reduce it to its simplest form by combining like terms and performing operations.

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

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 in a parenthesis.

Front

What is the first step in solving the equation 5(b + 6) = 18?

Back

The first step is to apply the distributive property: 5b + 30 = 18.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation to see if both sides are equal.

Front

What is the result of simplifying the expression 8y - 1/2(4y - 16)?

Back

The result is 6y + 8.

Front

What is the solution to the equation 6m + 4(-2m + 6) = 10?

Back

The solution is m = 7.