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 the first step in solving the equation 0.2(c - 3) = -10?

Back

Divide both sides by 0.2 to isolate the expression (c - 3).

Front

How do you combine like terms in an equation?

Back

Combine like terms by adding or subtracting the coefficients of the same variable.

Front

What is the solution to the equation 6 + 7x + x = 38?

Back

x = 4.

Front

What is the first step to solve the equation 3x + 11 = 44?

Back

Subtract 11 from both sides to isolate the term with x.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the purpose of using inverse operations in solving equations?

Back

Inverse operations are used to undo operations applied to a variable, helping to isolate it.

Front

What is the first step in solving the equation -4(10m + 5) = 12?

Back

Divide both sides by -4 to simplify the equation.

Front

What does substitution mean in the context of solving equations?

Back

Substitution involves replacing a variable with a specific value to verify if it satisfies the equation.