Download Algebra II- ACP2 Summer Assignment

AlgebraII-ACP2
SummerAssignment-AlgebraI
Name_______________________________
Duefirstdayofclass-50points
1. Find the slope of this line.
5. Which equation describes the line with a slope of 5
and containing the point (−2, 4)?
F y = 5x − 22
G y = 5x − 2
H y = 5x + 4
J y = 5x + 14
6. What is the slope and y-intercept of the graph?
A −
5
2
C
2
5
B −
2
5
D
5
2
1
, y-intercept = 2
4
1
B slope = − , y-intercept = 3
4
C slope = 4, y-intercept = 4
D slope = 4, y-intercept = 4
2. The slope of this line is
A slope = −
7. Find the slope of this line.
A positive
C zero
B negative
D undefined
3. Find the slope of the line that contains the points
(6, 8) and (2, 1).
A
7
4
B
9
8
4. Which equation describes the line with a slope of
2 and y-intercept of 6?
A y = 2x + 6
A −3
C 2
B 0
D undefined
8. Find the x- and y-intercepts of 3x − y = 6.
x-intercept: _____________________________
B y = 6x + 2
y-intercept: _____________________________
9. Which equation describes a line that passes
through (−6, 8) and is perpendicular to the line
described
by y = 2x − 4?
A y = −2x − 4
B y=−
1
x+5
2
C y=
1
x + 11
2
D y = 2x + 20
10. Identify which lines are parallel.
I y=2
III y = 2x − 1
⎧2x + y = 10
14. Solve by elimination: ⎨
.
⎩−x - y = −2
A (4, −2)
B (8, −6)
15. Which ordered pair is a solution of
y < x + 1?
A (0, 2)
II y = x + 2
B (1, 3)
IV y = 2x + 2
C (2, 3)
D (3, 3)
11. Which ordered pair is a solution of
⎧ x = 2y + 1
⎨
⎩y = x
16.The graph of a system of linear inequalities is
shown below. Which ordered pair is a solution
of the system?
A (−1, −1)
B (3, 1)
12. The graph of a system of linear equations is
shown below. What is the solution of the
system?
A (−2, 2)
C (2, −2)
B (4, 3)
D (−4, 0)
⎧4x + y = −1
17. Solve ⎨
by graphing.
⎩y − 4 = x
A (0, 0)
B (2, 2)
C (0, 2)
D (1, 1)
⎧y = x + 1
.
13. Solve by substitution: ⎨
⎩x + y = 7
A (2.5, 3.5)
C (6, 7)
B (0, 1)
D (3, 4)
Solution:________________________
⎧3x − 2 = y
18. Solve by substitution: ⎨
.
⎩ y − 2x = −5
23. Simplify 2a0.
A 0
B 1
C 2
________________________________________
⎧6x − 4y = 8
19. Solve by elimination: ⎨
.
⎩ x + 4y = 34
D 2a
1
3
24. Simplify 125 .
A −5
________________________________________
B 5
⎧
1
⎪y ≥ − x − 4
20. Graph ⎨
.
2
⎪⎩ y ≤ x + 1
Give two ordered pairs that are solutions and
two ordered pairs that are not solutions.
C 25
D 125
25. Multiply ( x + 1)( x − 1) .
A x2 − 1
B x2 + 1
C x 2 + 2x + 1
D x 2 − 2x + 1
26. Multiply (b + 3)(b2 + 2b + 1).
A b3 + 2b3 + 3
B b3 + 5b2 + 7b + 3
solutions: ______________________________
C 3b3 + 6b2 + 3b
not solutions: ___________________________
21. Which of the following is equivalent to
6-4?
D 4b5 + 8b3 + 3b
27. Add (2x3 − 5) + (x3 + 3).
A (−6)4
B
1
64
22. Evaluate x-3 for x = 2.
A −8
A 3x3 − 2
B 3x6 − 2
28. Subtract (6a2 + 3a) − (4a2 + 2a).
B −6
1
C
9
D
1
8
A 2a2 + a
2
B 2a + 5a
C3
D 3a3
36. Factor x 2 + 8x + 12.
4
29. Simplify ( −8 ) 3 .
A
B
C
D
F (x + 1) (x + 12)
−16
−2
2
16
G (x + 2) (x + 6)
H (x + 3) (x + 4)
J cannot be factored
30. Multiply (x − 5)(2x + 4).
A −6x
B 2x2 − 26
37. Factor x 2 − 6x − 16.
F (x − 2) (x − 8)
C 2x2 − 20
D 2x2 − 6x − 20
G (x − 2) (x + 8)
H (x + 2) (x − 8)
J cannot be factored
31. Subtract (7a2 − 2a + 6) − (−5a2 + 3).
38. Factor x 2 − 23x + 22.
F 2a2 − 2a + 3
G 12a2 − 2a + 3
H 12a2 − 5a + 6
J 12a2 − 2a + 9
A (x − 2) (x − 11)
B (x − 1) (x − 22)
C (x + 1) (x − 23)
32. Add (1.2x5 − 5x3 − 0.7) + (3.7x5 + 3).
A
B
C
D
1.2x5 − 1.3x3 + 2.3
4.9x5 − 5x3 + 2.3
4.9x5 − 2x3 − 0.7
4.9x10 − 2x3 − 0.7
D cannot be factored
39. Factor 5a 2 − 3a − 2.
A (a − 2) (5a + 1)
B (a − 1) (5a + 2)
33. Write the polynomial 5x − 2x3 + 8x2 − 7 in
standard form.
C (a + 1) (5a − 2)
D cannot be factored
40. Which is the prime factorization of 120?
________________________________________
34. What is the degree of the following polynomial?
4x3 − x
A 2 • 2 • 2 • 15
C 3•5•8
B 2•2•2•3•5
D 10 • 12
41.Which function is quadratic?
________________________________________
35. Find the GCF of 30x 2 and 45x 5.
A 5x 2
C 15x 2
B 5x 5
D 15x 5
A 3x − 2y = 5
B 5x 2 + x = y − 4
42. Find the zeros of y = x 2 − 8x + 12 from its
graph below.
47. If you graph y = −x 2 − 8x + 10, what would be
the y-intercept?
________________________________________
48. Identify the vertex of this parabola.
A −2 and −6
B 0 and 4
C 2 and 6
D 4 and −4
43. If you graph y = x 2 − 6x + 9, the
y-intercept would be ___________.
vertex: _________________________________
A −3
B 9
44. Solve 2x 2 + 9x + 4 = 0 using the Quadratic
Formula.
A x = −4 or x = −
B x=
49. Use this graph of the quadratic function to
solve the equation
−x 2 − 6x = 0.
1
2
−9 ± 113
4
45. Solve x 2 − 12 = −4x by factoring.
F x = −2 or x = 6 H x = 2 or x = −6
G x = −3 or x = 4 J x = 3 or x = −4
A x = −6 or x = 0 C x = −4 or x = −2
B x = −5 or x = −1 D x = −1
2
46. Find the zero(s) of y = x + 5 from its graph
below.
50. Solve x 2 − 2x − 24 = 0 by factoring.
________________________________________
F 0
G 5
H 0 and 5
J no zeros