Expressions & Equations Review

Front

What is the standard form of an equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you evaluate an expression with multiple operations?

Back

Follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What are algebra tiles used for?

Back

Algebra tiles are manipulative tools used to represent algebraic expressions and equations visually.

Front

How do you represent the equation -2x + 6 = -8 graphically?

Back

To represent the equation graphically, you can rearrange it to slope-intercept form (y = mx + b) and plot the line on a coordinate plane.

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 the variables involved.

Front

What is the value of 2^4?

Back

The value of 2^4 is 16, which can be calculated as 2 x 2 x 2 x 2.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside parentheses.

Front

How do you solve for x in the equation 3x + 5 = 20?

Back

To solve for x, subtract 5 from both sides to get 3x = 15, then divide both sides by 3 to find x = 5.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers in an expression or equation.

Front

What is the purpose of simplifying an expression?

Back

Simplifying an expression makes it easier to understand and work with by reducing it to its most basic form.