Reviewer in Math 9
Reviewer in Math 9
Reviewer in Math 9
Unit 2 Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Write an equation for the parabola whose vertex is at å 3, 6õ
ä ô ä
and which passes through å
ô
4, 4õ.
æ ö æ ö
a. y 2&x 3' 2 6 c. y 2&x 3' 2 6
b. y & x 3' 2 6 d. y 2&x 3' 2 6
Factor the expression.
____ 2. 11x 28
x2
a. (x 7)(x 4) c. (x 4)(x 7)
b. (x 7)(x 4) d. (x 4)(x 7)
____ 3. 6x 2 4x 8 6x 2 4x 8
a. 6x(3x 2) c.
b. 3(2x 2 4x 8) d. 2(3x 2 2x 4)
____ 4. 12x 2 8x
a. x(12x 8) c. 12x(x 2)
b. 4x(3x 2) d. 3x(x 4 2)
Identify the vertex and the axis of symmetry of the parabola. Identify points corresponding to P and Q.
____ 5.
1
Name: ________________________ ID: C
____ 6. x 2 10x 22 0
a. 5 r 2 7 c. 100 r 3
b. 5 r 3 d. 10 r 2 7
____ 7. The function y 2
16t 248 models the height y in feet of a stone t seconds after it is dropped from the
edge of a vertical cliff. How long will it take the stone to hit the ground? Round to the nearest hundredth of a
second.
a. 7.87 seconds c. 3.94 seconds
b. 0.25 seconds d. 5.57 seconds
____ 8. –1 – 160
a. 1 i 160 c. 1 4i 10
b. 1 4i 10 d. 1 4i 10
____ 9. Use a graphing calculator to solve the equation 10x 2 2x 30. If necessary, round to the nearest
hundredth.
a. –0.46, 0.66 c. –0.66, 0.46
b. –1.31, 0.91 d. –0.56, 0.56
Solve the equation.
1 1 1 1
a. 3 3i
i, c. 9 9i
i,
b. 1, 1 d. 3i, 3i
3 3
2
Name: ________________________ 4?
a.
b.
c.
c. 4, 1 d. –4, 4
3
Name: ________________________ ID: C
____ 13. Find the domain and range of the relation and determine whether it is a function.
a. Domain: all real numbers; range: all real numbers; yes, it is a function
b. Domain: x > 0; range: y > 0; yes, it is a function.
c. Domain: positive integers; range: positive integers; no, it is not a function.
d. Domain: x t 0; range: y d 0; no, it is not a function.
____ 14. 6x 2 42
a. 7, 42 c. 7, – 7
42 42
b. , d. 7
6 6
____ 15. A manufacturer determines that the number of drills it can sell is given by the formula
D 4p 2
160p 305, where p is the price of the drills in dollars.
a. At what price will the manufacturer sell the maximum number of drills?
b. What is the maximum number of drills that can be sold?
4
Name: ________________________ ID: C
____ 16. Use vertex form to write the equation of the parabola.
____ 18. x 2 x 20
a. 4, 5 b. 2, 4 c. 2, 1 d. 1, 2
Write a quadratic equation with the given roots. Write the equation in the form ax 2 bx c 0, where a, b,
a. x 2 + 4x – 5 0 c. x 2 – 6x – 5 0
b. x 2 – 4x – 5 0 d. x 2 + 6x + 5 0
____ 20. Identify the vertex and the y-intercept of the graph of the function y 2(x 2)2 2.
a. vertex: (2, 2); c. vertex: (2, –2);
y-intercept: 8 y-intercept: 6
b. vertex: (–2, –2); d. vertex: (–2, 2);
y-intercept: 6 y-intercept: 2
Short Answer
a. If you translate the parabola to the right 2 units and down 7 units, what is the equation
of the new parabola in vertex form?
b. If you translate the original parabola to the left 2 units and up 7 units, what is the
equation of the new parabola in vertex form?
c. How could you translate the new parabola in part (a) to get the new parabola in part (b)?
5
Name: ________________________ ID: C
6
Unit 2 Test [Answer Strip] ID: C
A 11. B 13. C 16.
B 6.
D 1.
C 7.
C 8.
A 2.
C 9.
D 3.
D 17.
B 4.
A 10. C 14. D 18.
D 5. D 15.
B
12. D 19.
B 20.