Solving Equations

Front

What is the first step in solving a linear equation?

Back

The first step is to isolate the variable on one side of the equation by performing inverse operations.

Front

How do you combine like terms in an equation?

Back

You add or subtract the coefficients of the same variable to simplify the equation.

Front

What does it mean to isolate a variable?

Back

Isolating a variable means to manipulate the equation so that the variable is alone on one side of the equation.

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

x = 5.

Front

How do you solve for a variable when it appears on both sides of an equation?

Back

You can move all terms involving the variable to one side by adding or subtracting them from both sides.

Front

What is the process to solve the equation -3a + 8 = 14?

Back

Subtract 8 from both sides to get -3a = 6, then divide by -3 to find a = -2.

Front

What is the distributive property in solving equations?

Back

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

Front

How do you check your solution after solving an equation?

Back

You substitute the solution back into the original equation to see if both sides are equal.

Front

What is the solution to the equation 7(1 - y) = -3(y - 2)?

Back

y = 1/4.

Front

What is the importance of maintaining balance in an equation?

Back

Maintaining balance means that whatever operation you perform on one side of the equation must also be performed on the other side to keep the equation true.