Solving Equations

Front

What is the first step to solve the equation 8x - 10 = 6?

Back

Add 10 to both sides of the equation to isolate the term with x.

Front

How do you isolate x in the equation 4x + 7 = 23?

Back

Subtract 7 from both sides and then divide by 4.

Front

What is the combined like terms in the equation 4a - 5 + 2a + 9 = 28?

Back

Combine 4a and 2a to get 6a, and combine -5 and +9 to get +4.

Front

What does the equation 2(y - 4) = 16 represent in terms of solving for y?

Back

Divide both sides by 2, then add 4 to isolate y.

Front

What is the result of simplifying the expression 4(x - 3) + 2?

Back

Distribute 4 to get 4x - 12, then add 2 to get 4x - 10.

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 to the equation 8x - 10 = 6?

Back

x = 2.

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 importance of combining like terms in an equation?

Back

It simplifies the equation, making it easier to solve for the variable.

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 opposite side.