Download Pre-AP SLHM Name: Assessment: Solving Quadratics 1. Solve the

Pre-AP SLHM
Assessment: Solving Quadratics
Solving
Quadratics
Assessment 3/30
Name:__________________________
1. Solve the following quadratic equations by the indicated method. Show your work. Leave answers in
simplest radical form when necessary.
a. (x + 5)2 + 8 = 20
d. x2 + 2x – 7 = 0
SQRTS
Comp the Square
b. 5x2 + x – 4 = 0 Factoring
e. 2x2 – 15 = 7x Factoring
c. -2x2 + 3x = -7 QF
f. 2(x2 – 1) = x2 + 47 SQRTS
2. Find the zeros of the function y = x2 - 2x – 35 by quadratic formula and factoring.
Factoring
Quadratic Formula
3. Solve the following equations by quadratic formula. Leave your answers in simplest radical form.
a. 1/2x2 + x – 10 = 0
b. x2 + 2x = 9
_______4. Which of the following is NOT true of the graph of the function f(x) = -x2 – 6x + 5?
A. Its vertex is at (-3, 14)
C. Its axis of symmetry is x = -3
B. Its maximum value is -3
D. Its domain is all real numbers
5. Solve the following quadratics by the indicated methods. Show all work and round to the nearest
tenth when necessary.
a. 0 = 9x2 – 16
d.
x2 – 4x = -1
b. 0 = 3x2 + 16x + 5
e.
x2 = 4x + 45
c. 0 = x2 – 2x – 24
f.
3x(x + 4) + 5 = 12x + 80
Factoring
Square Roots
Quadratic Formula
Completing the Square
Any Method
Any Method
6. Simplify the following radicals:
a.
36
b.
20
c.
72
d.
21
7. Graph the function p(x) = (x - 3)2 - 4 below. Then, answer the questions.
a. What are the solutions to p(x) = 0? x =
b. What are the solutions to p(x) = -3? x =
c. Write the equation for this function in factored
form:
d. Write the equation for this graph in standard form:
_____8. What are the zeros of the function graphed
of the below?
_____9. Which ordered pair represents one
zeros of the function f(x) = 3x2 + 19x – 14?
10. Use the graph below to answer the following equations.
a. Domain:
b. Range:
c. Write the equation of the function in factored form:
d. Write the equation of the function in standard form:
e. Write the equation in vertex form.
f. If the graph is transformed by f(x) + 5, determine the equation of the resulting graph.
11. Fill in the given blanks by completing the square.
a. x2 + 10x + ____ = (
a. x2 + 2x + ____ = (
)2
)2
12. Solve the following quadratic equation. Show your work‼
x2 + 8x + 16 = 0
b. x2 – 8x + _____ = (
b. x2 – 12x + _____ = (
)2
)2