Solving Equations

Front

What is the first step in solving the equation -4(x - 6) - 6 = 10?

Back

Distribute -4 to both terms inside the parentheses.

Front

How do you isolate the variable in the equation 3(n - 6) + 7 = -11?

Back

Subtract 7 from both sides, then divide by 3.

Front

What does it mean to 'solve for y' in the equation 4 - 4(3y + 5) = 0?

Back

It means to find the value of y that makes the equation true.

Front

What is the solution to the equation -6(x + 8) = -42?

Back

x = -1.

Front

How can you check if x = 5 is a solution to the equation 12 - 8x = -28?

Back

Substitute x = 5 into the equation and verify both sides are equal.

Front

What is the purpose of simplifying an equation before solving it?

Back

To make it easier to isolate the variable and find the solution.

Front

What does it mean to 'distribute' in algebra?

Back

To multiply each term inside parentheses by the term outside.

Front

What is the result of combining like terms in the equation 4 - 4(3y + 5) = 0?

Back

You get 4 - 12y - 20 = 0, which simplifies to -12y - 16 = 0.

Front

What is the final step in solving the equation 12 - 8x = -28?

Back

Add 8x to both sides and then isolate x.

Front

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

Back

It indicates that the expressions on both sides have the same value.