Module 8 - Expressions & 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 GCF stand for in mathematics?

Back

GCF stands for Greatest Common Factor, which is the largest number that divides two or more numbers without leaving a remainder.

Front

How do you solve the equation 3/4x + 6 = 33?

Back

Subtract 6 from both sides to get 3/4x = 27. Then multiply both sides by 4/3 to find x = 36.

Front

What is the process of factoring an expression?

Back

Factoring an expression involves rewriting it as a product of its factors, often by finding the GCF.

Front

What is the result of simplifying the expression 1.8y - 9.3y - 6.3y?

Back

The result is -13.8y.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to get the variable alone on one side of the equation.

Front

What is the solution to the equation x - 9.5 = -10.5?

Back

The solution is x = -1.

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 eliminating unnecessary operations.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression.