Introduction to Algebra

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables (like x or y), and operation symbols (like +, -, *, /). For example, 2x + 4 is an algebraic expression.

Tags

CCSS.6.EE.A.2B

Front

What does 'like terms' mean in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x and 3x are like terms, but 2x and 2y are not.

Tags

CCSS.6.EE.A.2B

Front

How do you simplify the expression 3x + 5x?

Back

You combine like terms to simplify it: 3x + 5x = 8x.

Tags

CCSS.7.EE.A.1

Front

What is the coefficient in the expression 4x + 7?

Back

The coefficient is the number in front of the variable. In this case, the coefficient of x is 4.

Tags

CCSS.6.EE.A.2B

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting numbers for the variables. For example, if x = 2 in the expression 3x + 1, then it evaluates to 3(2) + 1 = 7.

Tags

CCSS.6.EE.A.2C

Front

What is the difference between an equation and an expression?

Back

An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal, using an equality sign.

Front

What is the product of a number and eight represented as an algebraic expression?

Back

The product of a number and eight is represented as 8x.

Tags

CCSS.6.EE.A.2A

Front

How do you represent the quotient of a number and 20 in algebra?

Back

Tags

CCSS.6.EE.A.2A

Front

What are the steps to solve the equation 2x + 4 = 12?

Back

1. Subtract 4 from both sides: 2x = 8. 2. Divide both sides by 2: x = 4.

Tags

CCSS.7.EE.B.4A

Front

What is a variable in algebra?

Back

A variable is a symbol, usually a letter, that represents an unknown value. For example, x and y are common variables.

Tags

CCSS.6.EE.A.2B