Common Core Geometry R
Aim #15: How do we add and subtract expressions with radicals?
Do Now:
1. Combine like terms.
a) 1.5x + 2x + 3x = _____
b) 1.5x + 2y + 3x = _________
c) 3xy + 5y + 4x = _____
d) -4x + 6y - 2y - x = _________
Simplify the radicals.
1.
2.
3.
4. The triangle shown below has a perimeter of
units. Make a conjecture
how this answer was reached.
5. The sides of a triangle are
,
, and
. Make a conjecture about how to
determine the perimeter of this triangle. Then find the perimeter.
To add or subtract radical expressions, write all radicals in _____________
___________ form, then combine coefficients of ________ radicals and copy
the radicands.
1
6. Write each expression in simplest radical form.
a)
b)
d)
e)
g)
c)
f)
h)
i)
#7-11 Answers in simplest radical form.
7. Determine the perimeter of the triangle.
8. Determine the perimeter of the rectangle.
2
9. Determine the perimeter of the triangle.
10. Find, in simplest radical form, the perimeter of ΔABC.
B
A
C
11. The length of the legs of an isosceles triangle are each
base is
feet and the
feet. What is the perimeter?
12. ΔABC is equilateral with a perimeter of 36, AB ll CD, CD
Find BD, in simplest radical form.
B
BE, and CD = 4.
D
A
C
E
3