Matching Equations and Combining Terms

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x^2 and 5x^2 are like terms, while 3x^2 and 4x are not.

Front

How do you combine like terms?

Back

To combine like terms, add or subtract the coefficients of the terms that are alike. For example, 3x^2 + 5x^2 = (3 + 5)x^2 = 8x^2.

Front

What is the first step to solve the equation 3x + 9 = 66?

Back

The first step is to isolate the variable term by subtracting 9 from both sides: 3x = 66 - 9.

Front

What is the solution to the equation d + 5 = 10?

Back

To solve for d, subtract 5 from both sides: d = 10 - 5, so d = 5.

Front

What does it mean to expand an expression?

Back

Expanding an expression means to multiply out the terms and simplify. For example, expanding 5(-2x + 3) results in -10x + 15.

Front

Back

To solve for x, multiply both sides by -7: x = 14 * -7 = -98.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term inside a parenthesis.

Front

How do you isolate a variable in an equation?

Back

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

Front

What is the result of combining the like terms 4x + 2x?

Back

The result is 6x, since you add the coefficients 4 and 2.

Front

What is the solution to the equation 2x - 3 = 7?

Back

Add 3 to both sides to get 2x = 10, then divide by 2 to find x = 5.