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WorksheetsCollege Alg Final Exam S1
Total questions: 20
Worksheet time: 2hrs 40mins
(6x2)(-3x5)
Which number is the BASE?
23 = 8
2
3
8
6
True or False? When there is no exponent connected to the base it means the power is 0.
Ex: x= x0
True
False
2-3 ⋅ 2-4
Marina had $24,500 to invest. She divided the money into three different accounts. At the end of the year, she had made $1,300 in interest. The annual yield on each of the three accounts was 4%, 5.5%, and 6%. If the amount of money in the 4% account was four times the amount of money in the 5.5% account, how much had she placed in each account?
$8000 was invested at 4%
$2000 was invested at 5.5%
$14,500 was invested at 6%
$2000 was invested at 4%
$8000 was invested at 5.5%
$14,500 was invested at 6%
$14500 was invested at 4%
$2000 was invested at 5.5%
$500 was invested at 6%
$2000 was invested at 4%
$9000 was invested at 5.5%
$13,500 was invested at 6%
The currents running through an electrical system are given by the following system of equations. The three currents, I1 , I2 , and I3 , are measured in amps. Solve the system to find the currents in this circuit.
I1+2I2−I3 = 0.225
3I1−4I2+2I3=0.375
5I1+I2+4I3=1.775
I1 = 0.165 amps
I2 = 0.132 amps
I3 = 0.204 amps
I1 = 0.375 amps
I2 = 0.4 amps
I3 = 0.75 amps
I1 = 1.375 amps
I2 = 0.466 amps
I3 = 0.751 amps
Given f and g in the graph,
what is f(f(3)) ?
3
2
4
1
Tickets to a movie cost $5 for adults and $3 for students. A group of friends purchased 18 tickets for $82.00. How many adults ticket did they buy?
21
18
14
0
The difference of two numbers is 18. Their sum is 66. What are the numbers?
30, 36
24, 42
60, 6
undefined
The length of a rectangle is 3 meters greater than 2 times the width. The perimeter of rectangle is 30 meters. What is the length of the rectangle?
30 meters
27 meters
3 meters
11 meters
Find the equation of the line passing through (0,5) and (5,9). Present answer in slope-intercept form.
y = 4/5x + 5
y = 5/4x + 5
y = x - 5
y = x + 5
What are the intercepts of 2x − 4y = 8?
y-int = 2, x-int = 2
y-int = -2, x-int = 4
y-int = 4, x-int = 6
y-int = 3, x-int = -6
Solve |6x + 3| = 4x − 9
4 or 3/5
6 or -6
-6 or 3/5
undefined
Solve |5x − 20| < 15.
1 < x < 7
5 < x < 7
-1 < x < -7
x > 2 or x < 5
Suppose the cost function for a certain product is given by C(x) = 14x + 9000 and the revenue function for the product is given by R(x) = 34x + 3000. What is the profit function for this situation?
P(X) = 34X + 12000
P(X) = 20X - 6000
P(X) = 48X + 12000
Solve x2 − 5x + 6 < 0.
2≤x≤4
x > 2
2 < x < 3
x < 3
If log(a) = 2.1 and log(b) = 1.3, find log( a32b2 )
4
2/3
a+b
-4
Find the domain of f(x) = 15 ln(87 − 9x).
x < 9.556
x > 9.556
x ≤9.556
x ≥9.556
Find 1 different fourth degree polynomial, having single roots at x = 9, x = −1 and a double root at x = -4.
(x-9)(x-1) (x+4)2
(x-9)(x+1) (x+4)2
