Equations with Combining Like Terms

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3b and 6b are like terms.

Front

How do you combine like terms in an expression?

Back

To combine like terms, you add or subtract their coefficients while keeping the variable part the same. For example, 3b + 6b = (3 + 6)b = 9b.

Front

What is the first step in solving an equation?

Back

The first step in solving an equation is to simplify both sides of the equation by combining like terms and eliminating parentheses.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What does it mean to solve for x in an equation?

Back

Solving for x means finding the value of x that makes the equation true.

Front

What is the solution to the equation 5(x + 5) = 20?

Back

The solution is x = -1.

Front

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

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is the process for solving the equation -2x + 20 + 12x + 12 - 8x = 68?

Back

Combine like terms to simplify the equation, then isolate x to find x = 18.

Front

What is the value of a in the equation 7a + 1 + 3 = 18?

Back

The value of a is 2.

Front

What is the solution to the equation 9x + 10 = 19?

Back

The solution is x = 1.