Write / Solve Algebraic Equations

Front

What is an algebraic equation?

Back

An algebraic equation is a mathematical statement that shows the equality of two expressions, typically involving variables and constants, such as x + 5 = 10.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is the first step in solving the equation n + 186 = 223?

Back

The first step is to subtract 186 from both sides of the equation.

Front

If 15x = 36.75, how do you find the value of x?

Back

You divide both sides of the equation by 15 to isolate x: x = 36.75 / 15.

Front

What is the equation to find how many minutes Brian has listened to if the total is 67 minutes and he has 23 minutes left?

Back

The equation is 67 - 23 = b, where b is the number of minutes listened.

Front

How do you check if your solution to an equation is correct?

Back

You substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 11 × g = 121?

Back

The solution is g = 11, found by dividing both sides by 11.

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What is the relationship between the number of players and total points scored in the equation 9k = 117?

Back

The equation shows that if 9 players scored the same number of points k, their total score is 117.

Front

What is the process of solving for a variable in a multi-step equation?

Back

You simplify the equation step by step, using inverse operations, until the variable is isolated.