Algebra One Unit One Flashcard

Front

What is the process to convert a decimal to a percentage?

Back

To convert a decimal to a percentage, multiply the decimal by 100 and add a percent sign (%). For example, 0.6 becomes 0.6 * 100 = 60%.

Front

How do you solve the equation 2(x + 3) = 10?

Back

To solve the equation, first distribute the 2: 2x + 6 = 10. Then, subtract 6 from both sides: 2x = 4. Finally, divide by 2: x = 2.

Front

What is the order of operations in mathematics?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.

Front

How do you evaluate the expression 4 + 3 * 2 - 5?

Back

Using the order of operations, first multiply: 3 * 2 = 6. Then, add and subtract from left to right: 4 + 6 - 5 = 5.

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, x + 8 is an algebraic expression.

Front

How do you translate the phrase 'the sum of a number and 8' into an algebraic expression?

Back

The phrase translates to the algebraic expression x + 8, where x represents the unknown number.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to combine like terms and perform any operations to reduce it to its simplest form.

Front

How do you simplify the expression 2(x + 3) - 4(x - 2)?

Back

First, distribute: 2x + 6 - 4x + 8. Then, combine like terms: (2x - 4x) + (6 + 8) = -2x + 14.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in mathematical expressions and equations.

Front

What is the difference between an equation and an expression?

Back

An equation is a mathematical statement that asserts the equality of two expressions, while an expression is a combination of numbers, variables, and operations without an equality sign.