HCC -COLLEGE ALGEBRA
REVIEW 1
L F Thomas - Instructor
Solve the equation.
1) 5w (5w + 16) = -64
2) y2
Solve for the indicated variable.
12) nt2 + ry = h for t
- 15y = 0
Solve the problem.
13) The product of two consecutive positive
even integers is 80. Find the integers.
Solve the equation by using the square root
property.
3) p2 = 81
4)
14)
(7x + 4)2 = 81
Find the value of n so that the expression is a
perfect square trinomial and then factor the
trinomial.
5) x2 + 20x + n
6)
Solve the equation.
15) 48x3 - 64x2 - 3x + 4 = 0
Find the value of n so that the expression
is a perfect square trinomial and then factor
the trinomial.
14
t2 t+n
3
Solve the quadratic equation by completing the
square and applying the square root property.
7) u2 + 8u + 17 = 0
8)
2v2 + 8v + 22 = 0
16)
2z
3
= -1
z-2 z+5
17)
6x + 3 =
18)
3 + 3x + 5 = 3
19)
Solve the equation by using the quadratic formula.
9) 3x2 + 15x - 18 = 0
5
x
23 + p = 6 - -3 - p
Solve the equation by using substitution.
20) (t + 8)2 - (t + 8) - 12 = 0
Use the discriminant to determine the type and
number of solutions.
10) -2x2 + 4x + 2 = 0
11)
A model rocket is launched from a raised
platform at a speed of 112 feet per second.
Its height in feet is given by
h(t) = -16t2 + 112t + 20 (t = seconds
after launch).
After how many seconds does the object
reach its maximum height?
21) z2/3 +
2z1/3 - 3 = 0
Solve and express your solution in simplified form.
22) x4 - 11x2 + 28 =0
4x2 + 3x + 2 = 0
1
Solve the inequality. Write the solution set in
interval notation.
23) 16(x - 3) - 15x -4
List the elements of
.
24) A = {-8, 4, -1, -3, -24, 19} and B = {11,
-23, -1, -24}
Determine the intersection X Y. Express the
answer in interval notation.
25) X = {x x 8} and Y = {x x < 7}
Determine the union X Y. Express the answer in
interval notation.
26) X = {x x > 18} and Y = {x x 1}
Solve the inequality. Write the solution set in
interval notation.
and 16 + 2x 15
27) 26 > 3x
Solve the compound inequality. Write the answer
in interval notation.
28) 9x 9 or 16 - x < 7
Solve the absolute value equation.
29) 6z - 3 = 8
30)
2x - 1 - 5 = -5
Solve the absolute value inequality. Write the
solution in interval notation.
31) x + 14 < 18
32)
3|x - 1| - 9
33)
3|x - 3| + 9 < 18
34)
3|x - 2| + 12
-6
21
2
Answer Key
Testname: REVIEW1
1)
-
28)
8 8
,5 5
(- , 1] (9, )
11 5
,29)
6
6
2)
{0, 15}
3) {±9}
5 13
,4)
7
7
5)
n = 100; (x +
6)
n=
30)
31)
(-32, 4)
32) (- , 0] [2, )
33) (0, 6)
34) (- , -1] [5, )
10)2
49
72
; t9
3
7)
{-4 ± i}
8) {-2 - i 7, -2 + i 7}
9) {1, -6}
10) Two irrational solutions
11) Two imaginary solutions
n(h - ry)
12) t = ±
n
13)
8 and 10
14) 3.5 seconds
4 1
,±
15)
3 4
37
5
±
3
3
16)
-
17)
-3 ± 129
12
18)
-
1
2
5
3
19)
{-7, -19}
20) {-4, -11}
21) {1, -27}
22) {±2, ± 7}
23) [44, )
24) {-1, -24}
25) { }
26) (- , 1] (18 )
1 26
27) - ,
2 3
3