Solve the equation .
The equation contains a set of brackets. The easiest way to solve equations with brackets is to expand the brackets.
Expand the bracket:
Isolate by adding 15 to each side:
Isolate by dividing by 10:
The area of this rectangle is 56 cm2. Find the value of .
. This means will all be multiplied by 7. To show this in algebra, use a bracket for to show that both terms are being multiplied by 7.
7 multiplied by can be written as as multiplication signs are not used in algebra.
Area = 56 cm2, base = (3r + 2) cm, height = 7 cm
So setting up an equation using this information gives:
Multiply out the bracket.
Isolate by subtracting 14 from both sides:
Isolate by dividing both sides by 21:
Check that this answer is correct by substituting into the original equation.
The equation balances, so is the correct answer.