WorksheetsQuarter 2 Revision Pack-1
Total questions: 150
Worksheet time: 10hrs 19mins
y=4x2-8x+9
f(x) = -x2 - 4x + 12
Roots
x = 2
x = -4
Roots
x = 2
x = 4
Roots
x = -2
x = -4
Roots
x = 0
x = 4
1 Real Solution
2 Real Solutions
No Real Solutions
Half a Solution
Roots are -1 and -3
Roots are 0 and 3
Roots are 1 and 4
Roots are -1 and 3
How many solutions does the function have?
A
No Real Solutions
B
One Real Solution
C
Two Real Solutions
D
Four Real Solutions
How many solutions does the function have?
A
No Real Solutions
B
One Real Solution
C
Two Real Solutions
D
Four Real Solutions
What are the x-intercepts?
A
-1
B
-3
C
3
D
5
What is another name for the solutions to a quadratic?
A
y-intercepts
B
Zeros
C
Maximums
D
Minimums
(3i)(5i) (Hint: i2 =-1)
15
-15
15i
-15i
3i+5i+2i+10
10
10i+10
10i
100i
How do you write a complex number?
a-bi
a+bi
ai+b
ai-b
(5-2i) + (-7+8i)
What letter represents an imaginary number?
a
i
j
x
What does i2 equal?
-1
√-1
1
-√1
(3 + 2i) + (4 - 5i)
7 + 7i
1 - 3i
1 - 7i
7 - 3i
(3 + 8i)(-2 - i)
2-19i
23-i
34+5i
23-i
Simplify
(-10+6i)/17
(1+50i)/61
(-23+36i)/25
(-21+33i)/34
(-5 + 10i)(-5 - 10i) = 125
True
False
Simplify.
(5-2i) + (-7+8i)
(3i)(-2+4i)
What is the simplified form of (8 -3i)2?
73
16 - 6i
55 + 48i
55 - 48i
Solve by factoring: x2 = 7x + 18
-7 and -18
9 and 2
9 and -2
2 and 7
Solve for x:
(x-5)(x+6)=0
{5,5 }
{ -5,-5 }
{ -5,-6 }
{5,-6 }
x2 - 9x = 0
Solve using Zero-Product Property.
(2x - 2)(5x + 5) = 0
x = -1
x = -1 or x = 1
x = 1
x = -2 or x = 5
Solve: 20x=5x2+20 by factoring
x=0 and x=2
x=−2
x=2
x=2 and x=−2
x2 + 2x - 24 = 0
Solve by factoring:
x2 + 6x + 20 = -3x
x = -2, x = -10
x = -3, x = -4
x = -4, x = -5
x = -4, x = -6
Solve by Factoring
x2 + 4x - 40 = -8
-10 & -4
-4 & 10
-8 & 4
8 & -4
x2 - 6x + 5 = 0
16a2 - 9 = 0
x2 - 49 = 0
z2 - 18z + 81 = 0
A parabola has a vertex at (1,6) and passes through (3,-18). Write the equation in vertex form.
Formula: f(x) = a(x - h)2 + k
f(x) = 3(x - 1)2 - 18
f(x) = -6(x - 1)2 + 6
f(x) = 6(x - 3)2 - 18
f(x) = -3(x + 1)2 - 6
A parabola has a vertex at (-1.5,12.5) and passes through (0,8). Solve for "a" and write the equation in vertex form.
Formula: f(x) = a(x - h)2 + k
y = -1.5(12.5 - 8)2
y = 2(x + 0)2 + 8
y = -2(x + 1.5)2 + 12.5
y = 8(x + 1.5)2 - 12.5
None of the above
Convert the equation from vertex form (shown) to standard form:
y = -3(x + 5)2 - 4
Formula: y = ax2 + bx + c
y = 9x2 - 15x + 21
y = -3x2 - 75x - 4
y = 9x2 + 90x + 221
y = -3x2 - 30x - 79
Convert the equation into standard form:
y = -5(x + 2)2 - 10
y = -5x2 - 20x - 30
y = -5x2 - 4x - 10
y = 25x2 + 100x + 90
y = 25x2 - 10x - 30
A parabola has a vertex at (6, 5) and passes through (10, -11). Which equation represents this parabola in vertex form?
Formula: f(x) = a(x - h)2 + k
-11 = a(10 - 6)2 + 5
y = -(10 - h)2 + k
y = -(x - 6)2 + 5
y = (x - 6)2 + 5
Describe the transformations below: (x+1)2−4
left: 1, up: 4
left: 1, down: 4
right: 1, up: 4
right: 4, up: 1
Describe the transformation below: −(x+3)2+6
reflect over the x-axis
reflect over the x-axis, left: 3, up: 6
stretch, left: 3, down: 6
left: 3, down: 6
Describe the transformation below: −3(x+4)2−1
stretch by 3, right: 4, down: 1
reflect over the x-axis, right: 4, down: 1
reflect over the x-axis, stretch by 3, left: 4, down: 1
stretch by 4, down: 3, left: 1
Identify the a, h, and k term from the following equation: (x+3)2+2
a=-1, h=3, k=2
a=3, h=3, k=3
a=1, h=-3, k=2
a=1, h=-3, k=-2
Identify the a, h, and k terms in the following equation: 2(x+4)2−1
a=2, h=-4, k=-1
a=-2, h=4, k=1
a=2, h=4, k=1
a=-2, h=-4, k=1
Identify the a, h, and k terms in the following equation: (x+4)2−3
a=-1, h=4, k=3
a=-1, h=-4, k=3
a=1, h=4, k=3
a=1, h=-4, k=-3
Determine the vertex from the following equation: −3(x−4)2+1
Vertex: (4,1)
Vertex: (-4, -1)
Vertex: (4, -1)
Vertex: (-4, 1)
Determine the vertex from the following equation: −(x+1)2−1
Vertex: (1,-1)
Vertex: (-1, 1)
Vertex: (-1, -1)
Vertex: (1, 1)
Determine the vertex from the following equation: 21(x+4)2+1
Vertex: (-4, 1)
Vertex: (-4, -1)
Vertex: (4, 1)
Vertex: (4, -1)
Determine if the parabola has a maximum or minimum, if it opens up (+) then it will have a minimum, if it opens down (-) then it will have a maximum. 3(x+3)2−2
Maximum
Minimum
Determine if the following equation has a maximum or minimum: −(x−2)2+7
Maximum
Minimum
Determine if the following function will be narrow (stretch) or wider (shrink): 4(x−3)2+4
Narrow
Wider
Determine if the following is narrow or wider: 32(x+3)2+6
Narrow
Wider
Identify the vertex.
(5, 2)
(5, -2)
(-5, 2)
(-5, -2)
Find the y-intercept of this graph?
(-4,0)
(0,-4)
(4,0)
(0,4)
Which quadratic equation models the parabola shown?
y = (x-2)(x-5)
y = (x+2)(x+5)
y = -(x+2)(x+5)
y = -(x-2)(x-5)
What are the x-intercepts of the quadratic?
(2, 0) and (4, 0)
(-2, 0) and (-5, 0)
(2, 0) and (5, 0)
(-2, 0) and (-4, 0)
f(x) = 5x4 + 2x3 + 2x − 7 can have, at most, how many solutions?
What is the y-intercept of f(x)=3x2+4x-5?
3
4
5
-5
2
What is the vertex of the function?
(-3, -16)
(3, 20)
(-6, -7)
(0, -7)
y = (x - 8)(x + 2)
What is the axis of symmetry of the given function?
x = -4
x = 4
x = -2
x = 2
Determine the domain and range of the function
Domain: All real numbers
Range: All real numbers
Domain: all real numbers greater than or equal to -4
Range: All real numbers
Domain: All real numbers
Range: All real numbers greater than or equal to -4.
Domain: all real numbers between -1 and 5.
Range: All real numbers greater than or equal to -4.
Determine the domain and range of the function.
Domain: all real numbers.
Range: all real numbers less than or equal to 1.
Domain: all real numbers.
Range: all real numbers less than or equal to 2.
Domain: all real numbers less than or equal to 1.
Range: all real numbers.
Domain: all numbers between 1 and 3.
Range: all real numbers less than or equal to 1.
Solve using the quadratic formula x2 - 3x - 5=0?
Determine the value of the discriminant and describe the number and type roots for the following:
x2 + 7x + 13
101, 2 real roots
3, 2 real roots
-101, 2 imaginary roots
-3, 2 imaginary roots
If the discriminant is negative, then the quadratic has:
1 Real Solution
2 Real Solutions
Half a Solution
2 Imaginary Solutions
If the discriminant is equal to 0, how many solutions are there?
No solutions
1 Solution
2 Solutions
Infinite solutions
What does the discriminant tell us?
The maximum or minimum
The y-intercept
The number and type of solutions
The axis of symmetry
For the function below, is the discriminant positive, negative, or zero?
y = x² + 4x + 4
Positive
Negative
Zero
Use the discriminant to determine the number of solutions 4x2 + 4x + 1 = 0 has?
0
1
2
More than 2
Which of the options shows the quadratic formula?
x=2ab±b2−4ac
x=a−b±b2−4ac
x=−b2a±b2−4ac
x=2a−b±b2−4ac
Solve by using the quadratic formula: 4x2−2x−12=0
5, −215
2−5±513
2, −23
215, −5
Find the discriminant of 4x2+6x+9=0 then state the number and type of solutions.
-40; no real solutions
-108; no real solutions
0; one real solution
57; two real solutions
Find the discriminant of −x2+4x+1=5 then state the number and type of solutions.
17; two real solutions
-47; no real solutions
0; one real solution
0; two real solutions
Use the quadratic formula to find the solutions for −x2−5x+12=0
No Real Solution
−25±73
−2−5±73
−25±−23
−25±23
The solution, root, x-intercept, and zero of a problem are all the same thing
For the function above, is the discriminant positive, negative, or zero?
Which graph has a discriminant > 0?
None of them
Red
Blue
Green
Use the quadratic formula to determine the solutions.
2x2 - 9x - 35 = 0
x = 7/2, x = -6
x = -5/2, x =5
x = -3/7, x =6
x = -5/2, x = 7
2x² + x - 11 = 0
3x² -6x + 11 = 0
Solve.
102 m2
39 m2
51.2 m
81 m2
Which equation would you use to find the volume of this composite figure?
π(2)²(8) + 4/3π(2)³
π(2)²(4) + 4/3π(2)³
π(4)²(8) + 4/3π(4)³
π(4)²(8) + 4/3π(4)³
Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?
22 cubic inches
63 cubic inches
66 cubic inches
198 cubic inches
Find the volume of the following shape.
(What two solids are being added together??)
4155.27 m3
1038.82 m3
804.24 m3
1005.31 m3
What is the volume of this composite figure?
126 in3
150 in3
720 in3
144 in3
Find the volume of the composite figure.
616 ft3
224 ft3
210 ft3
630 ft3
