Equations with Variables on Both Sides

Front

What is an equation with variables on both sides?

Back

An equation that contains variables on both the left and right sides, requiring manipulation to solve for the variable.

Front

What does it mean if an equation has no possible solutions?

Back

It means that there is no value for the variable that can satisfy the equation.

Front

What does it mean if an equation has infinitely many solutions?

Back

It means that there are countless values for the variable that can satisfy the equation, often resulting from equivalent expressions.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the first step in solving the equation -5(r - 1) = 5 - 5r?

Back

Distribute -5 on the left side to simplify the equation.

Front

What is the solution to the equation -19 + 3x = 3(x - 5)?

Back

No Possible Solutions.

Front

How do you set up an equation to compare costs of two items?

Back

By equating the total costs of both items, including any additional fees or costs.

Front

What is the equation to find when the cost of renting a kayak equals the cost of renting a canoe?

Back

10h = 5h + 7.

Front

What is the relationship between the number of pieces of gum Julie and Conrad have left?

Back

They have the same number of pieces left after giving away their respective amounts.

Front

How do you express the total cost of buying games for an Xbox One?

Back

Total cost = 150 + 24x, where x is the number of games.