Download Alg 2 review 7 Answer Section

Alg 2 review 7
Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
____
1. The volume of a shipping box in cubic feet can be expressed as the polynomial
. Each
dimension of the box can be expressed as a linear expression with integer coefficients. Which expression
could represent one of the three dimensions of the box?
a. x + 6
c. 2x + 3
b. x + 1
d. 2x + 1
Short Answer
Divide using synthetic division.
2.
3.
4.
5.
6. Use synthetic division to find P(2) for
7. Write
in vertex form.
8. Suppose
Find the value of
.
and
.
.
Factor the expression.
9.
10.
11.
12.
13. Identify the vertex and the y-intercept of the graph of the function
Use the elimination method to solve the system.
14.
15. Write
in vertex form.
.
Write the equation of the parabola in vertex form.
16. vertex (0, –2), point (2, –18)
17. vertex (2, –3), point (0, –7)
18. Write
in vertex form.
19. Write
in vertex form.
Solve the system by graphing.
20.
21. Write
in vertex form.
22. Write an equation of a circle with center (–3, 2) and radius 3.
23. Write an equation for the translation of
, 3 units left and 2 units up.
24. Write an equation for the translation of
, 3 units left and 5 units down.
25. Write an equation for the translation of
, 8 units left and 5 units down.
26. Write an equation in standard form for the circle.
y
4
2
–4
–2
2
4
x
–2
–4
27. A satellite is launched in a circular orbit around Earth at an altitude of 135 miles above the surface. The
diameter of Earth is 7920 miles. Write an equation for the orbit of the satellite if the center of the orbit is the
center of the Earth labeled (0, 0).
28. Find the center and radius of the circle with equation
29. Graph
.
.
30. Find the center and radius of the circle with equation
.
31. The plans of a public park include a circular fountain. The outline of the fountain can be modeled with the
equation
, where the units are meters and the graph is on a grid map of the park.
a. Find the coordinates of the center.
b. Find the circumference of the fountain.
Other
32. Consider the equation of the circle
.
a. Explain how to find the center and radius of the circle. Then find the center and radius.
b. Graph the circle. Explain how you drew the graph.
Alg 2 review 7
Answer Section
MULTIPLE CHOICE
1. D
SHORT ANSWER
2.
3.
4.
5.
6. 4
, R –38
7.
8. 1
3
11
9.
10.
11.
12.
13. vertex: (–2, –2);
y-intercept: 2
14. (0, 5)
15.
16.
17.
18.
19.
20.
(–5, –4)
21.
22.
23.
24.
25.
26.
27.
28. (7, –1); 4
y
29.
8
–8
8
x
–8
30. center (1, –1); radius 2
31. a. (3, –5)
b. about 49.5 meters
OTHER
32. a. To find the center and radius of the circle, you must complete the square for the x and y terms. Then you
can write the equation in standard form to find the center and radius.
Group like terms.
Complete the square and add the
same to the right hand side of the
equation.
Factor.
Rewrite in standard form.
The center is (–2, –2) and the radius is 3.
y
b.
4
2
–4
–2
2
4
x
–2
–4
To make the graph, locate the center (–2, –2). Then draw a circle with this center and radius 3.