Basic Algebra Review

Front

What is the order of operations in algebra?

Back

The order of operations is: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Often remembered by the acronym PEMDAS.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in the expression 7x, 7 is the coefficient.

Front

How do you simplify the expression 4(3x + 5) - 2x?

Back

First, distribute: 4 * 3x + 4 * 5 = 12x + 20. Then combine like terms: 12x - 2x + 20 = 10x + 20.

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power. For example, 3x + 5x = 8x.

Front

What is the result of the expression [25 - (13 + 4) + 4] ÷ 3?

Back

First, simplify inside the parentheses: 13 + 4 = 17. Then, 25 - 17 + 4 = 12. Finally, 12 ÷ 3 = 4.

Front

Translate the verbal expression 'twice the difference between a number n and 7' into an algebraic expression.

Back

The algebraic expression is 2(n - 7).

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 2 is an algebraic expression.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers. For example, in the expression 5x, x is the variable.

Front

What is the difference between an equation and an expression?

Back

An equation states that two expressions are equal, using an equal sign (=). An expression does not have an equal sign and represents a value.

Front

How do you evaluate the expression 10 * (6 + 3) ÷ 2?

Back

First, simplify inside the parentheses: 6 + 3 = 9. Then, multiply: 10 * 9 = 90. Finally, divide: 90 ÷ 2 = 45.