Solving equations Review

Front

What is the first step to solve the equation -7 = x - 8?

Back

Add 8 to both sides to isolate x.

Front

How do you isolate a variable in the equation 10 - 3y = 4?

Back

Subtract 10 from both sides.

Front

What does it mean if an equation has 'all real numbers' as a solution?

Back

It means that any value for the variable satisfies the equation.

Front

How do you solve the equation 30 + 6t = 11t?

Back

Subtract 6t from both sides to get 30 = 5t, then divide by 5.

Front

What is the solution to the equation 7x + 19 = -2x + 55?

Back

x = 4.

Front

What is the distributive property in algebra?

Back

a(b + c) = ab + ac.

Front

How do you check if your solution to an equation is correct?

Back

Substitute the solution back into the original equation.

Front

What is the purpose of combining like terms in an equation?

Back

To simplify the equation and make it easier to solve.

Front

What does it mean to 'isolate the variable'?

Back

To manipulate the equation so that the variable is on one side by itself.

Front

What is the solution to the equation 3(2x + 4) = 2(6 + 3x)?

Back

All real numbers.