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 297=7(8x-6)+3?

Back

Distribute the 7 to both terms inside the parentheses.

Front

What is the solution to the equation -5x + 4x = 9?

Back

Combine like terms to get -x = 9, then multiply by -1 to find x = -9.

Front

How do you isolate a variable in an equation?

Back

You can isolate a variable by performing inverse operations to both sides of the equation.

Front

What is the solution to the equation -11 + 3(b + 5) = 7?

Back

First, simplify to get 3b + 15 - 11 = 7, then solve for b to find b = 1.

Front

What does it mean to combine like terms?

Back

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power.

Front

What is the solution to the equation 9 + k = 18?

Back

Subtract 9 from both sides to find k = 9.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a parenthesis.

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.