Solve Equations

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more 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 a letter, that represents an unknown value in an equation or expression.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform operations to get the variable on one side of the equation and the constants on the other.

Front

What is the first step in solving the equation -3(4x - 10) = 42?

Back

The first step is to apply the distributive property: -3 * 4x + 30 = 42.

Front

What is the solution to the equation 8v - 4(v + 8) = 8?

Back

The solution is v = 10.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values for the variable that can satisfy the equation.

Front

What is the solution to the equation 5 - a = 15?

Back

The solution is a = -10.

Front

What is the process of checking your solution in an equation?

Back

To check your solution, substitute the value back into the original equation to see if both sides are equal.