C1 1.7 6.PFA.3 Review

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 75x, 75 is the coefficient.

Front

What does the equation x - 3 = -6 represent?

Back

This equation can be solved to find the value of x. Adding 3 to both sides gives x = -3.

Front

How do you write an equation to represent a verbal situation?

Back

Identify the quantities involved and their relationships, then translate them into mathematical symbols. For example, 'Wendy received a $600 paycheck for the week. If Wendy makes $20 an hour, how many hours, h, did she work?' translates to 600 = 20h.

Front

What is the solution to the equation x - 3 = -6?

Back

x = -3 + 3 = 0.

Front

If Mr. Wheaton has 33 books and 11 are missing pages, how can he find the number of new books?

Back

The equation b + 11 = 33 can be used, where b represents the number of new books.

Front

What is the solution to the equation b + 11 = 33?

Back

b = 33 - 11 = 22.

Front

What does it mean for an equation to be undefined?

Back

An equation is undefined when it does not have a solution, often due to division by zero or contradictory statements.

Front

What is the purpose of solving an equation?

Back

The purpose is to find the value of the variable that makes the equation true.

Front

What is an algebraic expression?

Back

An algebraic expression is a combination of numbers, variables, and operations (like addition and multiplication) that represents a value.

Front

How do you identify the variable in an equation?

Back

The variable is usually represented by a letter (like x or h) and is the unknown quantity we are trying to solve for.