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WorksheetsMATH 9 1st SUMMATIVE ASSESSMENT
Total questions: 50
Worksheet time: 25mins
What is the highest exponent of a variable in a quadratic equation?
1
2
3
4
Complete the standard form of quadratic function: f(x) = ax2 + ____ + c
ax2
. bx2
ax
bx
What is the resulting equation after applying Square Root Method to (x – 2)2 = 9?
x – 2 = ±3
b. x – 2 = ±9
x ± 2 = 3
x ± 2 = 9
The solutions of (x – 3)2 = 4 are
-1, 7
b. -7, 1
c. -1, -5
d. 1, 5
Which equation below can be best solved by Square Root Method?
x2 - 6x + 1 = 0
b. x2 – 9 = 0
c. x2 + 5x = 0
d. x2 + 3x + 1 = 0
Factor and solve the quadratic equation 3x2 – 5x – 2 = 0?
-2/3, -1
2/3, 1
-1/3, 2
-2, 1/3
Which of the following quadratic equation can be easily solved factoring?
x2 – 2x = 0
x2 + 3x + 1 = 0
x2 + 8 = 0
(x – 2)2 = 3
What are the factors of the quadratic equation x2 + 3x – 40 = 0?
(x – 5)(x + 8)
(x - 5)(x - 8)
(x + 5)(x - 8)
(x + 5)(x + 8)
Transform the equation (x - 3)2 = 0 to standard form, then solve for coefficient a.
9
– 6
c. 1
3
Which of the following patterns or conditions can Quadratic Formula solve?
ax2 + c = 0
(bx+c)2 = 0
when a>1
all of the choices
Given the equation x2 + 8x = 0, what is the next line of solution to produce a perfect square trinomial?
x2 + 8x + 4 = 4
x2 + 8x + 8 = 8
c. x2 + 8x + 16 = 16
d. x2 + 8x + 64 = 64
The expression for discriminant (D) is:
a2 – 4bc
b2 – 4ac
c2 – 4ab
abc
Which of the following describes the nature of the roots when the discriminant is equal to zero?
real and unequal
imaginary and equal
real and equal
imaginary and unequal
An expression which can be expressed as an expression which can be expressed in the form , or the same expression with the symbols <, ≥,≤ or ≠.
polynomial inequality
quadratic equation
quadratic inequality
linear inequality
The value of the imaginary constant is i is
-1
-2
square root of -1
square root of -2
In the complex number 2+3i, 2 is called the ________ part.
imaginary
real
conjugate
coefficient
The complex conjugate of 2+3i is _________
3-2i
-2+3i
2-3i
-2-3i
It is an expression involving polynomials in fractional form.
proportional expression
rational expression
fractional expression
logical expression
Rey and Bjorn’s work is to repair computers. Rey takes 3 hours to repair a unit alone and Bjorn takes 2 hours to do the same work alone.
Let t = time taken for them to finish the job together.
What is the rate of work for Bjorn to finish repairing one unit?
½ per hour
1/3 per hour
2 per hour
3 per hour
Rey and Bjorn’s work is to repair computers. Rey takes 3 hours to repair a unit alone and Bjorn takes 2 hours to do the same work alone.
Let t = time taken for them to finish the job together.
How long will it take for them to complete the job, if they work together?
0.83 hour
1.2 hour
6 hours
5 hours
Determine the values of a, b, and c for the quadratic equation:
4x2 – 8x = 3
a = 4, b = -8, c = 3
a = 4, b = 8, c = 3
a = 4, b =-8, c =-3
a = 4, b = 8, c = -3
What is this formula?
This is the standard formula.
This is the square root formula.
This is the quadratic formula.
This is the Pythagorean formula
Use the quadratic formula to solve 2x2 + 2x - 12.
-2, 3
2, -3
2, 3
-2, -3
Solve 2x2 + 7x - 15 = 0
-3/2 or 5
No Solution
-5 or 3/2
0.7 or 5
Solve Using the Quadratic Formula
x2 + 4x - 40 = -8
-8 & 4
-10 & -4
-4 & 10
8 & -4
What should you do first in solving this equation?
x2 + 6x - 13 = 3
Factor
Write down: a = 1, b = 6, c = -13
Subtract 3 from both sides.
Add 3 to both sides.
A
B
C
D
A
B
C
D
The discriminant is
aX2 + bX + c
b2 - 4ac
b - 4ac
b2 + 4ac
For the function below, is the discriminant positive, negative, or zero?
___________
y = x² + 4x + 4
zero
positive
negative
not sure
What is the discriminant of -2x2 − x − 1 = 0
76
9
-7
none of these
What is the discriminant of 6x2 − 2x − 3 = 0
76
68
29
none of these
What is the discriminant for 5x2 + x − 2 = 0
-39
-41
42
none of the above
If the discriminant is positive, then the solution will be
one real solution
no real solutions
two real solutions
one imaginary solution
A function has a discriminant of 25.
How many solutions does it have?
0
2
1
5
In the equation
y = x2 +5x +7, match each leading coefficient with its correct letter
a=0, b=5, c=7
a=7, b=5, c=1
a=1, b=5, c=7
Determine the values of
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a = 4, b = -8, c = 3
a = 4, b =-8, c =-3
a = 4, b = 8, c = 3
a = 4, b = 8, c = -3
Determine the value of the discriminant and name the nature of the roots for the following:
x2 + 7x + 13
Remember: b2 - 4ac
400, 2 real root
-400, 2 imaginary roots
0, 1 real root with a multiplicity of 2
-3, 2 imaginary roots
What are the sum and the product of the roots x^2-2x+3=0?
S= 2 and P=3
S=3 and P=2
S= -2 and P=-3
S= -3 and P= -2
What are the sum and the product of the roots 3x^2=2x+7?
S= 2 and P= 7
S= 2/3 and P= -7/3
S= 2/3 and P= 7/3
S= -3/2 and P= -3/7
What are the sum and the product of the roots 9x^2=25?
S= 9 and P= 25
S= 0 and P= -25/9
S= 25 and P= 9
S= -25/9 and P= 0
What are the sum and the product of the roots 15x=3x^2-2?
S= 1/5 and P= -2/15
S= -2/15 and P= 1/5
S= 5 and P= -2/3
S= -2/3 and P= 5
What are the sum and the product of the roots 6x^2+4=12x?
S= 12 and P= 4
S= 2/3 and P= 2
S= 4 and P= 12
S= 2 and P= 2/3
What are the sum and the product of the roots x^2-3x+12=0?
S= 12 and P=3
S= -3 and P= -12
S= -12 and P=-3
S= 3 and P= 12
What are the sum and the product of the roots
y^2=-5y-24
?
S= 5 and P= 24
S= -5 and P= 24
S= 24 and P=-5
S= -24 and P= 5
Which of the following is an incomplete quadratic equation?
y−6=y^2
x^2=196
x^2-5x+6=0
c^2+4c=0
What are the solutions to a quadratic equation?
factors
square
roots
square roots
In the equation
ax^2+bx+c=0
, which of the following cannot be equal to 0 for the equation to be quadratic?
a
b
c
a and c
Which of the following is written in the general form of a quadratic equation?
x^2-3=2x
3x^2+4x=5
x^2=1
4x^2−x+1=0
In the equation
3x+x^2=2
, what is the real number c?
-2
2
1
3
