Two Step Equations Review! (Writing and Solving)

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable. It typically involves isolating the variable on one side of the equation.

Front

How do you isolate a variable in a two-step equation?

Back

To isolate a variable in a two-step equation, perform the inverse operations in the reverse order of operations: first, eliminate any constant added or subtracted from the variable, then eliminate any coefficient multiplied or divided with the variable.

Front

What is the first step to solve the equation \( \frac{2}{3}x - 2 = 4 \)?

Back

The first step is to add 2 to both sides of the equation to eliminate the constant term: \( \frac{2}{3}x = 6 \).

Front

What is the solution to the equation \( -12 = 5r + 8 \)?

Back

To solve for r, first subtract 8 from both sides to get \( -20 = 5r \), then divide by 5 to find \( r = -4 \).

Front

How can you represent a word problem as an equation?

Back

To represent a word problem as an equation, identify the variables, constants, and relationships described in the problem, then translate them into algebraic expressions.

Front

In the equation \( \frac{x}{3} - 7 = 19 \), what is the first step to solve for x?

Back

The first step is to add 7 to both sides of the equation to isolate the term with x: \( \frac{x}{3} = 26 \).

Front

What does it mean to solve for a variable?

Back

To solve for a variable means to find the value of that variable that makes the equation true.

Front

How do you check if your solution to a two-step equation is correct?

Back

To check if your solution is correct, substitute the value back into the original equation and verify that both sides are equal.

Front

What is the significance of the coefficient in a two-step equation?

Back

The coefficient is the number multiplied by the variable, and it affects the value of the variable when solving the equation.

Front

What is the relationship between equations and inequalities?

Back

Equations state that two expressions are equal, while inequalities express a relationship where one expression is greater than, less than, or not equal to another.