Download Algebra 1 Quarter Test 4 Review

Algebra 1 Quarter Test 4 Review
Be sure to review all of your tests and quizzes in addition to this review
Find the GCF of each set of monomials.
1. 276n6y2t, 348n3t4
2. 132x3y2, 126x2z3, 15xyz2
Factor each polynomial.
3. 12x3y2z – 24x2y3z + 16x2y3z3
4. 4x2y2 – 9y2 – 45 + 20x2
5. –x2 + 5x + 24
6. –18x + 2x2 – 72
7. 10x2 + 29x – 21
8. 3p2 – 14p + 12
8a. 2b2 – 9b + 12 = 0
9. (a + n)2 – 9
9a. v2 + 8v + 9 = 0
10. 3x3 – 24x2y + 48xy2
10a. n2 + 18n + 50 = 9
11. 3x4 – 73x2 – 50
11a. 2x2 + 5x – 3 = 0
12. 25x2 + 20xy – 4y2
12a. 3w2 – ¾ w = ½
Solve each equation.
13. 6x2 = 22x
14. x2 + 14x – 32 = 0
15.
16. (3x + 2)(x – 1) = x + 3
17.
18. A rectangular rug 9 ft by 12 ft is placed in the center of a rectangular room covering three fifths of the floor. The
rug leaves uncovered the same width of floor on each side. Find the dimensions of the room.
19. The product of the least and greatest of three consecutive negative odd integers is 221. Find the three integers.
20. One number is 10 larger than another. Their product is 119. Find the numbers.
21. Solve the equation, and check your solutions. 9t3 + 15t2 + t – 6 = (t + 3)(t – 2) – 3t3
Solve.
22. Solve s2 + 26s + 169 = 121
25. Solve x2 + 10x - 24 = 0
23. Solve b2 – 34b + 289 = 45
26. Solve 21u2 = u + 10
24. Solve 3y2 – 7y – 5 = 0
27. Solve –2x2 = –(5x + 4)
Simplify each expression.
5
5
35.)
28.
29.
36.)
7 2
8
37.)
3  12
38.)
5
2
30.
31.) 2 63
32.)
33.)
34.)
 2025
3 2•2 6
154
39.)
16  36
2
40. Simplify . State the excluded values of x.
Simplify
41.
48
51.
42.
49.
43.
50.
44.
51.
45.
52.
46.
53.
(p + 2)
+
47.
54. Simplify
.
55. What is the quotient of
and
?
Solve each equation
4x 7 7x
 
1.)
3 2 12
2.)
3x  2
x 2  7x  6

Solve
56.
1
4

x  6 x 1
57.
Solve
3.)
3
7

1
5 x 2x
4.)
5
p2

 2
5p 5p
Simplify each expression: (state any restrictions)
5.)
21x 3 y
28axy 4
6.)
a 2  a  56
7.)
a 2  x  42
7x 2  28
5x 3  20x
Perform the indicated operation:
8.)
5x 2 y 12a 2b

8ab
25x
12.)
9.)
a 2  a  12
a4

a2
a2  a  6
13.)
2a 2b
x 2  x  30

3a
x 2  15x  54
2x
6

x3 x3
a 2  13a  40
10.)
x
5

x3 x2
2
14.) a  4a  32
a5
a7
11.)
2x  3
2
x 4

6
x2
15.) 8n 
2
n 1
Solve each of the following:
16.) The width of a rectangle is 2 less than three times the length. If the area is 90 square meters,
what are the dimensions of the rectangle?
17.) Find 2 consecutive positive integers whose product is 90.
18.) A rectangle is 8cm longer than it is wide. The area is 240cm 2. Find the dimensions
Simplify:
19.)
98
20.) 4 216
24.)
25.)
21.)
15  12
26.)
22.)
150a 4 b10
27.)
23.) 4 2 • 5 9
2
5
6 18
28.)
6
5
2
16  36
154
2
Solve each of the following:
29.) 3a 2  108  0
31.) 3(a  5)2  21
33.) –2x2 = –(5x + 4)
30.) 3y2 – 5 = 0
32.) b2  4b  10  0
34.) 4 x 2  2x  3  0