WorksheetsCollege Algebra Quiz #3
Total questions: 20
Worksheet time: 4hrs 2mins
Name
Class
Date
1.
Solve 6x2-36=0
a)
x=6
b)
x=√6
c)
x=6, x=-6
d)
x=√6, x=-√6
2.
Solve x2-2x-3=0
a)
x=-3, x=-1
b)
x=-3, x=1
c)
x=-1, x=3
d)
x=1, x=3
3.
Solve |4y-3|=5
a)
y=2
b)
y=2, y=-2
c)
y=-1/2
d)
y=2, y=-1/2
4.
What value do you need to add to both sides of the equation x2+4x=1 to complete the square?
a)
4
b)
2
c)
-4
d)
-2
5.
Solve (x+2)2=5
a)
x=-2+√5
b)
x=-2+√5, x=-2-√5
c)
x=√3
d)
x=√3, x=-√3
6.
Solve |x+3|≤4
a)
[-7,1]
b)
(-∞,-7]∪[1,∞)
c)
(-∞,1]
d)
[1,∞)
7.
Solve |x+5|>2
a)
(-7,-3)
b)
(-∞,-7)∪(-3,∞)
c)
(-∞,-3)
d)
(-3,∞)
8.
Find the zeros of the function
f(x)=4x2 + 11x - 3
f(x)=4x2 + 11x - 3
a)
x = -3/4, x = -1
b)
x = 4, x = 3
c)
x = 1/4, x = -3
d)
x = -1/4, x = 3
9.
Write as a single complex number: (3+4i)(2-i)
a)
10+5i
b)
10-5i
c)
2+5i
d)
10+3i
10.
Write as a single complex number: (1-i)÷(6+2i)
a)
1/10 - 1/5 i
b)
1/2 + 1/4 i
c)
1/4 - 1/4 i
d)
1/32 - 1/4 i
11.
Select the correct statement about the function
f(x)=-x2+2x+8
f(x)=-x2+2x+8
a)
The vertex is (1,-9)
b)
The axis of symmetry is y=9
c)
The graph has a minimum of 9
d)
The range is (-∞,9]
12.
Select the correct equation for the graph.
a)
f(x)=-x²-4x
b)
f(x)=x²+4x
c)
f(x)=x²-4x
d)
f(x)=-x²+4x
13.
The hypotenuse of a right triangle is 50 ft. One leg is 10 ft longer than the other. What are the lengths of the legs?
a)
30 ft and 40 ft
b)
20 ft and 30 ft
c)
-40 ft and -30 ft
d)
20√5 ft and 10+20√5 ft
14.
A homeowner wants to fence a rectangular play yard using 80 ft of fencing. The side of the house will be used as one side of the rectangle. Find the dimensions for which the area is a maximum.
a)
20 ft × 40 ft
b)
20 ft × 20 ft
c)
800 ft²
d)
400 ft²
15.
Solve for x
a)
6
b)
17/5
c)
19/2
d)
- 6
16.
Solve for x
a)
5
b)
4/5
c)
1
d)
- 4
17.
Solve.
a)
no solution
b)
6
c)
3
d)
4
18.
Solve
a)
-9
b)
-2,3
c)
5
d)
0
19.
Solve and check your solution(s).
a)
x = 2, 3
b)
x = -2, -3
c)
x = -1, -6
d)
No solution
20.
BONUS: Find a such that f(x)=ax²-4x+3 has a maximum value of 12.
a)
a=-4/9
b)
a=12
c)
a=45/144
d)
a=4
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