Solving Linear Equations and Operations

Front

What is the first step to solve the equation 2x + 3(5x - 7) = 47?

Back

Distribute the 3 to 5x and -7.

Front

What is the solution to the equation 4(a + 3) = -32?

Back

-11

Front

What is the first step in the equation 3(x-3)+7= 13x(2+3)?

Back

Distribute.

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

5

Front

Which expressions can represent the sum of 3 consecutive odd integers?

Back

n, n+2, n+4.

Front

What does it mean to 'distribute' in algebra?

Back

To multiply each term inside a parenthesis by the term outside.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form ax + b = c.

Front

What is the purpose of combining like terms?

Back

To simplify an expression by adding or subtracting terms that have the same variable.

Front

What is the solution to the equation x + 5 = 12?

Back

x = 7.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to get the variable alone on one side.