Name: ________________________ Class: ___________________ Date: __________
Algebra 1: Snow Day 7
Multiple Choice
Identify the choice that best completes the statement or answers the question.
16. 10x – 3 < –13 or 6x + 4 > 10
1
3
a.
x < –1 or x > 2
b.
x < –20 or x > 0
c.
x < –1 or x > 1
d.
3
1
x < −1 or x > 2
5
3
What are the solutions of the compound inequality? Graph the solutions.
17. −8 ≤ 2x − 4 < 2
a.
−6 ≤ x < − 4
b.
0≤x< 5
c.
−2 ≤ x < − 1
d.
−2 ≤ x < 3
1
ID: A
18. 8| n | − 4 = 12
a. n = 2
b.
n = 2 or n = –2
c.
n = 8 or n = –8
d.
no solution
2
Graph the inequality.
19. 6x + 6y ≥ 12
a.
b.
c.
d.
3
ÔÏÔÔ y ≤ −4x + 2
20. ÔÌÔ
ÔÔÔ y > 2x − 3
Ó
a.
c.
b.
d.
What is the simplified form of the expression?
21. (t 5 ) 2
a.
t7
b.
2t 10
c.
t 10
d.
t 25
b.
7k 9
c.
343k 6
d.
7k 27
22. (7k 3 ) 3
a.
343k 9
4
What is the simplified form of each expression?
23. (2c 2 d 3 ) 2 (3c 2 d 4 ) 3
a.
108c 10 d 18
b.
−108c 10 d 18
c.
108c 9 d 12
d.
27c 10 d 18
4
What is the simplified form of each expression?
24.
m11
m7
a.
25.
m18
a −9 b 8
a2b6
b −1
a.
b8
26. 3c 4 b −4
3c 4
a.
b4
b.
m77
c.
1
m4
d.
m4
b.
a 11 b 2
c.
b2
a 11
d.
a 1 b −4
b.
3cb −16
c.
c4
3b 4
d.
3c −4 b 4
c.
6
d.
7
What is the degree of each monomial?
27. 7m6n5
a. 5
b.
11
28. A biologist studied the populations of white-sided jackrabbits and black-tailed jackrabbits over a 5-year period.
The biologist modeled the populations, in thousands, with the following polynomials where x is time, in years.
White-sided jackrabbits: 4.5x 2 + 7.4x + 6.8
Black-tailed jackrabbits: 1.1x 2 + 3.9x + 6.8
What polynomial models the total number of white-sided and black-tailed jackrabbits?
a.
b.
5.6x 2 + 11.3x + 13.6
−5.6x 2 + 11.3x − 13.6
c.
d.
5.6x 2 − 11.3x − 13.6
5.6x 2 − 11.3x + 13.6
5
29. (8w2 – 7w – 6) – (4w2 + 6w – 3)
a. 4w2 – w – 9
b. 12w2 + 13w + 3
c.
d.
4w2 – 13w – 3
12w2 – w – 9
c.
d.
15x 2 − 8x − 16
15x 2 − 32x + 16
30. (3x + 4)(5x − 4)
a.
b.
15x 2 + 8x − 16
15x 2 + 32x + 16
Write the polynomial in standard form. Then name the polynomial based on its degree and number of
terms.
31. 2 – 11x2 – 8x + 6x2
a.
b.
c.
d.
–5x2 – 8x + 2; quadratic trinomial
–5x2 – 8x; quadratic binomial
–6x2 – 8x – 2; cubic polynomial
6x2 – 8x + 2; cubic trinomial
Simplify the product.
32. 5a2(3a4 + 3b + 2)
a. 8a4 + 8ab + 5a2
b. 15a8 + 3b+ 10a2
c.
d.
15a6 + 15a2b + 10a2
8a6 + 15a2b + 5a2
c.
d.
6k3 + 20k2 – k – 20
6k3 – 4k2 – 31k – 20
34. (2x – 6)2
a. 4x2 – 24x + 36
b. 4x2 – 8x + 36
c.
d.
4x2 + 36
4x2 – 12x + 36
35. (7p – 6)(7p + 6)
a. 49p2 – 36
b. 49p2 + 36
c.
d.
49p2 – 84p – 36
49p2 + 84p + 36
33. (3k + 4)(2k2 – 4k – 5)
a.
b.
6k3 + 31k2 – 4k – 20
6k3 – 4k2 + k – 20
6