Study Guide 7.EE.B.3

Front

What does the expression 3(x + 4) represent?

Back

It represents the product of 3 and the sum of x and 4, which can be expanded to 3x + 12.

Front

How do you solve the equation 2x + 5 = 15?

Back

Subtract 5 from both sides to get 2x = 10, then divide by 2 to find x = 5.

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

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate an equation so that the variable is on one side of the equation by itself.

Front

What is the first step in solving the equation 4x - 7 = 9?

Back

Add 7 to both sides to get 4x = 16.

Front

What is a solution to an equation?

Back

A solution to an equation is a value that, when substituted for the variable, makes the equation true.

Front

What does the term 'like terms' mean?

Back

Like terms are terms that have the same variable raised to the same power, allowing them to be combined.

Front

How do you combine like terms in the expression 5x + 3x?

Back

Add the coefficients of the like terms: 5x + 3x = 8x.

Front

What is the purpose of simplifying an expression?

Back

Simplifying an expression makes it easier to understand and solve, reducing it to its most basic form.