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WorksheetsQuadratic Unit Part 2
Total questions: 16
Worksheet time: 1hrs 20mins
Name
Class
Date
1.
Solve the equation:
x2-7x = -12
x2-7x = -12
a)
x = 3 and x = -4
b)
x = 5 and x = -2
c)
x = 3 and x = 4
d)
x = -5 and x = 2
2.
Use the given solutions of a quadratic equation to write the equation of a quadratic function: 5, 3
a)
f(x) = x2-8x+15
b)
f(x) = 3x2+5x+15
c)
f(x) = 3x2-x+5
d)
f(x) = x2+8x+15
3.
What are the solutions for x2+64 = 0?
a)
4 and 16
b)
8
c)
±8
d)
no solution
4.
A triangular-shaped pan has a base of 2x + 4 and a height of x + 3. The area of the triangle is 56 cm2. What is the value of x? (Remember the area of a triangle formula: A = ½×b×h)
a)
x = -7.8 and x = 2.8
b)
x = -10 and x = 5
c)
x = 5
d)
x = 2.
5.
Which of the following represents the solution set for x when solving the equation 9x2-12x-1=0 using the quadratic formula?
a)
3 - √5 and 3 + √5
b)
2/3 + √5/3 and 2/3 - √5/3
c)
2/3 + √3/3 and 2/3 - √3/3
d)
2 - √5 and 2 + √5
6.
Solve the equation by completing the square:
4a2+8a-20 = 0
4a2+8a-20 = 0
a)
±√6 - 1
b)
±4
c)
√6/4 + 1/4
d)
±√6 + 1
7.
Which statement best describes the graph of y = f(x)+d compared to the parent function f(x) = x2, if d = 5?
a)
The graph is shifted down five units from the parent function.
b)
The graph is shifted up five units from the parent function.
c)
The graph is shifted to the right five units from the parent function.
d)
The graph is wider than the parent function.
8.
The product of two consecutive integers, n and n+1, is 42. What is the positive integer that satisfies the situation?
a)
6 and -7
b)
14 and 3
c)
-6 and 7
d)
6
9.
A rock is thrown vertically upwards. After t seconds, its height h (in feet) is given by the function h(t) = 16t-4t2. How long will it take to reach its max height?
a)
4 seconds
b)
8 seconds
c)
2 seconds
d)
Never, it's lost in orbit!
10.
What is the range of f(x) = -x2+7?
a)
All real numbers less than or equal to 7.
b)
All real numbers.
c)
All real numbers less that or equal to 0.
d)
All real numbers greater than or equal to 7.
11.
What is the solution to this system of equations?
3x = 7 + y
3y = 1 - 2x
3x = 7 + y
3y = 1 - 2x
a)
(-1,2)
b)
(3,-2)
c)
(2,-1)
d)
They are parallel and don't intersect.
12.
Which function can be represented by the parabola with solutions at -2 and 5?
a)
f(x) = -x2+4x+10
b)
f(x) = x2-3x-10
c)
f(x) = x2-2x+5
d)
f(x) = x2-10
13.
What is the solution set for the quadratic equation x2-49 = 0?
a)
{-7,7}
b)
{2401}
c)
{-2401,2401}
d)
{7}
14.
The completion of a certain physical process is expressed by the equation y = 150-3x-x2 where y is the number of seconds needed to complete the process and x is the temperature in degrees Fahrenheit at which it occurs. If the process takes 20 seconds, what is the temperature at which the process occurs?
a)
150o F
b)
-3o F
c)
-310o F
d)
10o F
15.
Ms. Naud is solving 2x2+16x-4 = 0 for x by completing the square.
2x2 + 16x = 4
2(x2 + 8x + A) = 4 + B
What does A equal?
2x2 + 16x = 4
2(x2 + 8x + A) = 4 + B
What does A equal?
a)
64
b)
16
c)
128
d)
±4
16.
For what value of n will f(x) = x2 + nx + 100 have -10 as its only zero?
a)
-20
b)
10
c)
±10
d)
20
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