Solving Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

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 a variable in mathematics?

Back

A variable is a symbol, often represented by letters, that stands for an unknown value in an equation.

Front

What is the first step in solving the equation 3x - 4(2 + 3x) = 82?

Back

Distribute the -4 to both terms inside the parentheses: 3x - 8 - 12x = 82.

Front

How do you combine like terms in the equation 3x - 12x - 8 = 82?

Back

Combine 3x and -12x to get -9x - 8 = 82.

Front

What is the next step after combining like terms in an equation?

Back

Isolate the variable by adding or subtracting constants from both sides of the equation.

Front

What is the solution to the equation 6x - 7 = 12?

Back

x = 19/6.

Front

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

Back

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

Front

What does it mean if an equation has no solution?

Back

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

Front

What is the solution to the equation -3(2c - 5) = 15?

Back

c = 0.