Solving 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.

Front

What does it mean to solve an algebraic equation?

Back

To solve an algebraic 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 7w + 3 = 5w + 9?

Back

The first step is to isolate the variable by moving all terms involving the variable to one side of the equation.

Front

Solve for w: 7w + 3 = 5w + 9.

Back

w = 3

Front

What is the solution to the equation 115 = 12x - 5?

Back

x = 10

Front

How do you isolate the variable in the equation 2d + 7 = 9?

Back

Subtract 7 from both sides to isolate the term with the variable.

Front

Solve for d: 2d + 7 = 9.

Back

d = 1

Front

What is the value of m in the equation m + 23 = 250?

Back

m = 227

Front

How do you solve the equation 4 = 2(x + 3)?

Back

Divide both sides by 2, then isolate x.

Front

Solve for x: 4 = 2(x + 3).

Back

x = -1