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 2x + 3 = 7.

Front

What does it mean to solve an algebraic equation?

Back

To solve an algebraic equation means to find the value of the variable that makes the equation true.

Front

What is the first step in solving the equation 8x = 56?

Back

The first step is to isolate the variable x by dividing both sides of the equation by 8.

Front

If 3x + 3x + x + x = 8x, what property is being used?

Back

The Commutative Property of Addition, which states that changing the order of the addends does not change the sum.

Front

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

Back

g = 11, because dividing both sides by 11 gives the value of g.

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 expression represents Mr. John's age if he is 3 years older than Mr. George?

Back

g + 3, where g is Mr. George's age.

Front

What is the value of k if 9 players scored a total of 117 points equally?

Back

k = 13, because 117 divided by 9 equals 13.

Front

What operation should be performed to solve the equation 8x = 56?

Back

Divide both sides of the equation by 8.

Front

What is a variable in an algebraic expression?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation or expression.