Solve each equation. If necessary, round answers to the...

Key Concepts

Rounding and Precision

Rounding involves adjusting a numerical value to a specified degree of accuracy, such as to the nearest hundredth. This practice is often necessary when working with decimals to simplify the final answer and conform to the precision requested in the problem.

Isolating the Variable

Isolating the variable is a fundamental step in solving equations, where you use algebraic operations to collect all instances of the variable on one side of the equation and constants on the other. This process often includes adding, subtracting, multiplying, or dividing both sides of the equation by appropriate values.

Combining Like Terms

Combining like terms involves summing or subtracting coefficients of terms that have the same variable component. This process simplifies expressions by reducing the number of terms, making it easier to manipulate and eventually solve the equation.

Linear Equations

Linear equations are expressions that involve variables raised to the power of one and constants, structured such that their graph is a straight line. Solving a linear equation involves finding the value of the variable that makes the equation true, typically using operations such as addition, subtraction, multiplication, or division.

Distributive Property

The distributive property allows you to multiply a single term across terms within parentheses. It is an essential algebraic tool for expanding expressions and simplifying equations by eliminating parentheses, thereby making it easier to combine like terms and isolate variables.

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