TCA 3 One Variable Algebra

Front

What is an expression in algebra?

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 the equation 4x + x = -50?

Back

Combine like terms to get 5x = -50, then divide both sides by 5 to find x = -10.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of their variables.

Front

What is the purpose of using variables in algebra?

Back

Variables are used to represent unknown values and allow for generalization in mathematical expressions and equations.

Front

What is the solution to the equation x + 12 = 40?

Back

To solve for x, subtract 12 from both sides: x = 40 - 12, so x = 28.

Front

What type of situation can be represented by the equation x + 12 = 40?

Back

A situation where a total amount is known, and a part of that amount is subtracted to find the remaining part.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it can be written in the form ax + b = c, where a, b, and c are constants.

Front

What does it mean for an equation to be balanced?

Back

An equation is balanced when both sides have the same value, meaning the expressions on either side of the equal sign are equal.

Front

How do you identify an equation from a statement?

Back

Look for a statement that includes an equal sign and expresses a relationship between two quantities.