Solving Equations

Front

What is the first step to solve the equation 9 + k = 18?

Back

Subtract 9 from both sides to isolate k.

Front

What is the value of p in the equation 11p = 121?

Back

p = 11, found by dividing both sides by 11.

Front

How do you isolate t in the equation 10 = t - 8?

Back

Add 8 to both sides to find t = 18.

Front

What is the solution to the equation \( \frac{x}{5} = 2 \)?

Back

Multiply both sides by 5 to get x = 10.

Front

How do you solve for y in the equation \( \frac{y}{7} = 11 \)?

Back

Multiply both sides by 7 to find y = 77.

Front

What does it mean to isolate a variable in an equation?

Back

To manipulate the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the principle of balancing equations when solving for a variable?

Back

Whatever you do to one side of the equation, you must do to the other side to maintain equality.

Front

What is the solution method for linear equations?

Back

Use inverse operations to isolate the variable.

Front

What is an example of an inverse operation?

Back

Addition and subtraction are inverse operations; multiplication and division are also inverse operations.

Front

How can 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.