Solving Equations

Front

What is the first step to solve the equation 7(9 + K) = 84?

Back

Distribute the 7 to both terms inside the parentheses.

Front

How do you isolate the variable in the equation -12 = 24 + 4b?

Back

Subtract 24 from both sides to get -36 = 4b, then divide by 4.

Front

What does it mean to solve for d in the equation -7(6 + d) = 49?

Back

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

Front

What is the solution for w in the equation 2w + 4 = 16?

Back

w = 6.

Front

What is the process to solve for a in the equation 3a - 9 = 0?

Back

Add 9 to both sides, then divide by 3.

Front

What does it mean to have an equation in the form ax + b = c?

Back

It represents a linear equation where a, b, and c are constants.

Front

What is the solution to the equation 5x + 10 = 0?

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 the distributive property in solving equations?

Back

It allows you to eliminate parentheses and simplify expressions.

Front

What does it mean if an equation has no solution?

Back

It means there is no value for the variable that can satisfy the equation.