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 terms 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, making it easier to solve.

Front

What is the formula for a linear equation in slope-intercept form?

Back

The formula is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you solve for x in the equation 2x - 3 = 7?

Back

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

Front

What is the significance of the equal sign in an equation?

Back

The equal sign indicates that the expressions on both sides of it are equivalent.

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.

Front

What is the process of solving a multi-step equation?

Back

It involves simplifying both sides, isolating the variable, and performing inverse operations.

Front

What does it mean to have no solution in an equation?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

What is a word problem in the context of equations?

Back

A word problem is a real-life scenario that can be modeled and solved using equations.