Solving Equations Worksheet

Front

What is the solution to the equation -3 = (9(5 - 2k))/5?

Back

k = 10/3

Front

If the area of a trapezoid is given by the formula A = (1/2)(b1 + b2)h, how can you find the length of the longer base if one base is 19 less than five times the other?

Back

Set up the equation using the area and height to solve for the bases.

Front

Solve the equation: 10 - (8p + 3) = 9(2p - 5). What is the value of p?

Back

p = 2

Front

What is the value of q if it is given that q = 8?

Back

q = 8

Front

What does it mean if an equation has 'No Solution'?

Back

It means that there are no values for the variable that satisfy the equation.

Front

How do you isolate a variable in an equation?

Back

Use inverse operations to move terms to the other side of the equation.

Front

What is the first step in solving the equation -8 - 3(w + 13) = 4(w + 11) - 7w?

Back

Distribute the -3 and 4 to simplify both sides of the equation.

Front

What is the formula for the area of a trapezoid?

Back

A = (1/2)(b1 + b2)h, where b1 and b2 are the lengths of the bases and h is the height.

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 does it mean to solve for a variable?

Back

To find the value of the variable that makes the equation true.