SM3 1.C Solving Radical Equations Name On the following equations solve algebraically and graphically, and then make sure your answers match. MAKE SURE YOU SHOW ALL YOUR WORK! 1. Solve algebraically (SHOW ALL WORK!): 3√5 − x = √x + 2 2. Solve the system at the left graphically. MAKE SURE YOU WRITE DOWN YOUR SOLUTION! 3. Solve algebraically (SHOW ALL WORK!): 2√− x = (x + 3)1/2 4. Solve the system at the left graphically. MAKE SURE YOU WRITE DOWN YOUR SOLUTION! 5. Solve algebraically (SHOW ALL WORK!): (5 − x)1/2 + 2 = 0 6. Solve the system at the left graphically. MAKE SURE YOU WRITE DOWN YOUR SOLUTION! 7. Solve algebraically (SHOW ALL WORK!): 3(x − 2)3/4 = 24 8. Solve the system at the left graphically. MAKE SURE YOU WRITE DOWN YOUR SOLUTION! 9. Solve algebraically (SHOW ALL WORK!): (d + 5)2/3 = 4 10. Solve the system at the left graphically. MAKE SURE YOU WRITE DOWN YOUR SOLUTION! 11. Solve algebraically (SHOW ALL WORK!): (2x)3/2 − 4 = 23 12. Solve the system at the left graphically. MAKE SURE YOU WRITE DOWN YOUR SOLUTION! 13. ​
Given
f (x) = √x and g(x) =− 5√x + 3 + 4, ​
circle
the best answer(s) and/or fill in the
blank(s) to make the following statement
true.
Does the graph of g(x) have a
reflection in the x-axis, reflection
in the y-axis, or no reflection?
The graph of g(x)
stretches/shrinks​
the graph of f(x)
vertically by a factor of ____ and
is translated ____units ​
left/right
and ____units ​
up/down​
. 14. ​
Select ​
all ​
the expressions that are
equivalent to
15. Find the exact perimeter and area of the following triangle. (No Decimals) 3
2
4 . Perimeter Area 16. Solve equation for ​
r​
: 17. Simplify: b. (− 4x2/3)(3x−5/6) πr2h
=V 3x
4 3
a. ( 12x
−3 )(2x ) −7
−3xyz
18. Solve this equation for x: y−5
20. Solve the radical equation
algebraically:
= y8z2 19. Replace the Δ to make the statement true. A. √81
Δ
= 3Δ B. √256
Δ
= 2Δ Δ
C. √64 = 2 Δ There could be more than one answer possible. 4
21. Solve the radical equation from #1 graphically: √x + 5 + 2 = 3
√x + 5 + 2 = 3
What is the solution as an
ordered pair?
22. Solve the radical equation
algebraically:
23. Solve the radical equation from #3 graphically:
3
2√x − 1 = 4 3
2√x − 1 = 4 What is the solution as an
ordered pair?