Semester 1 Review B
Honors Algebra 2
1. Simplify: 7√3 – 3√27
NAME_________________
8.
Graph 3x – 5y > 10
9.
Write an equation for the line containing
(1, -2) and (-2, 4).
10.
Write the equation of the line that has
slope -3/5 and y-intercept 3.
11.
Write the equation of the horizontal line
through (5, 2).
12.
Write the equation of the vertical line
through (-2, -5).
13.
Find the slope of the line parallel to
6x + 3y = 9.
14.
Find the slope of the line perpendicular
to 5x – 4y = 8.
2. Simplify: -5√3n • 7√9n
3. Simplify completely:
2
√7
4. What is the least positive value of x that
makes √1 + x rational?
a. 1
b. 3
c. 4
d. 6
5. Simplify: 481x7y11
6. Simplify: 2431/5
7. Graph
2x – 3y = 6
15.
Graph the parabola and label parts
21.
Solve: 4 = 8x-1
22.
Simplify:
23.
Simplify y-3  18x
6x4
x-2y
24.
Simplify: 12 4√176 – 5 4√11
25.
Solve: √4x + 5 = x
26.
Solve: 3√3x – 3 = -3 3√x + 4
27.
Solve: x1/4 = 2/3
28.
For which equation is x = – 4 a solution?
y = -(x – 1)2 + 3
4
√5 * 5√5
16. Graph and label parts
y = - 1/2|x – 1| + 2
17.
18.
Solve for x: 4x2 – 6x + 2 = 0
Solve: |3x + 1| = 5
#19 & 20, Leave answers in interval notation.
19.
Solve for x:
2x2 + x – 3 < 0
a) x2 – 9 = 6
x+4
b) |x + 5| = –1
20.
|x – 7| < 2
c) 2x = 1/16
d) √ x + 13 = –3
29. Solve
x – 3y = 10
2x + 5y = - 2
30. Solve 5x – 2y = –4
x = - 5y – 16
31. Solve
x + 2y + z = -2
2x – y – 3z = 1
-3x + y – 2z = -7
34.
Let f(x) = -3x2 + 5. Find f(-2).
35.
Let f(x) = x – 2 and g(x) = x2.
Find f(g(–4)) .
36.
Which graph is a function?
a)
c)
b)
d)
32. A hotel has 260 rooms-some singles and
some doubles. The singles cost $ 35 and
the doubles cost $ 60. Because it was a
math teachers convention all the room
were occupied. The sales for this night
are $ 14,000. How many of each room
does the hotel have?
37.
33. Write the system of inequalities for the
given graph.
Graph f(x) = x + 2 + 3
then graph the inverse.
38. Find the inverse of the function: y = 7 – 2x2
39.
3 x  2,

2
45. Graph: f ( x )  2x  3,
 2 x  9,

x  1
 1 x  2
x2
If I deposited $ 500 in my son’s account
when he was born, that earns 10.5%
annual interest, compounded monthly.
Find the balance on his 16th birthday.
46. Given the graph, determine the domain
and range of the function.
40. Solve -3(5 – x) = 2(9 + x)
1
3
2
41. Given V   r h solve for h.
42. Solve for y: -2y2 + 6 = y2 – 9
47. Population - The population, P (in 1000’s)
of Small Town USA can be modeled by
P = 3|t – 6| – 4, where t = 0 represents
1990. During which two years does the
town have a population of 13,000?
43. Simplify: (-1 + 8i)(2 – 6i)
48. Find the fifth term in the recursive
function given f(1) = -3 and
f(n) = f(n – 1) + 2n
44. Simplify: (3 + 2i) + (4 – 5i)