MATHEMATICS – GRADE 9
1ST Quarterly Summative Test
Name:
Gr. & Sec.:
Date:
Parent’s Signature:
Identify what is being described in each number. Write the answer before the number.
1. The degree of a quadratic equation
2. An equation whose degree is 1.
3. The standard form of a quadratic equation
4. The value of c in the equation x2−2 x =0
5. The value of a in the equation 2x (x – 3) = 5
6. The value of b in the equation (x – 4) (x – 1) = 3
7. The standard form of y = 2x (x – 3) – 5
8. The standard form of (x – 4) (x – 1) =3
9. The value of f(x) = 2x (x – 3) when x = 4
10. The value of a in the equation 2x (6 – x) = 1 + 2x2
Write true if the statement is correct, if not, change the underlined word(s) to make the
statement true.
1. There are two square roots of a positive real number.
2. Quadratic equations of the form x2=k cannot be solved by extracting
the square root.
3. There is only one solution to x2=9.
4. The solution to the quadratic equation 2 x2−8=0
are real numbers.
2
5. The solution set of the equation 4 x =16 is {± 2}
6. The quadratic formula can be used to solve any quadratic equation.
7. The value of a in the equation 2x – 3 = x2 is 2.
8. The value of c in the equation x2 – 8 x = 0 is 0.
9. The solution set of the equation x2 – 8x = 0 is {8, 0}
10. The equation r2 – 8r = 0 cannot be solved using the quadratic formula
because there is no value of c.
11. if the discriminant is greater than zero, then the roots are real numbers.
12. if the discriminant is less than zero but is a perfect square number the
equation has two unequal rational roots.
13. in the equation x2 – 14x + 49 = 0, the discriminant is equal to zero.
14. there are two unequal irrational roots in the equation 4 x2 – 20x+ 25 =
0
15. there are no real roots in the equation x2 = 22x -121.
Match each quadratic equation on the left with its corresponding solution(s) on the right.
Write the letter on the blank before each number.
1. x2=6
a.
1, 7
2
2. x −36=0
b.
±6
2
3. (x – 4 ¿ =9
c.
± √6
2
4. 4 x =64
d.
no real number solution
5. x2−256=0
e.
±16
f.
±4
Identify the term that will complete each perfect square trinomial
1.
2.
3.
r2−12 r +¿
s 2 +5 s+¿
4 t2+12 t +¿
4.
5.
9 u2−6 u+¿
4 v2−36 v+¿
Solve the following equations by factoring. Match each quadratic equation on the
left with its corresponding solution set on the right. Write the letter on the blank
before each number.
1 1
1. x2−x−6=0
a. 4 3,−
{
2. 3x2−x=2
b. 4
c.
d.
3. 12x2+ x−1=0
4. x2=11 x+12
5. 4x2−13 x +3=0
e. 3
f.
}
{1 ,3}
{3,−2 }
{ 12,−1 }
{−2 , 1}
{−3,12 }
Encircle the letter of the correct answer.
1. How many roots does √−16 have?
a. no real roots / imaginary
c. zero
b. one real root
d. two real roots
2. What is the solution set of the equation
2x2 -6x = 8?
a. {4, -1}
c. { -4, 1}
b. {3, 2}
d. {-3, -2}
3. What should be the first step in solving x2 + 2(x – 4) = 0 using the method of
completing the square?
a. add 4 to both sides of the equation.
b. simplify 2(x – 4)
c. divide the equation by 2
d. factor x2 + 2 (x – 4).
4. What number completes the perfect square trinomial in the equation
a. 16
c. 25
b. 28
d. 36
5. What are the values of a, b and c in the equation y2 – 8y = 9?
a. a = 1, b = -8, and c = 9
b. a = 1, b = 8, and c = 9
c. a = 1, b = -8 and c = -9
d. a = -1, b =-8, and c = -9
6. What is the solution set of the equation y2 – 8y = 9?
a. {9, -1}
c. {-9, 1}
b. {9, 1}
d. {-9, -1}
2
7. What is the sum of the roots of x
– 7x + 6 = 0
a. 6
c. 8
b. 7
d. 9
8. What is the product of the roots of
a. 8
b. -8
x2
– 8x = 20?
c. -20
d. 20
x2
+ 8x = 0?
9. What is the roots for x2−10 x+25?
a. 5 and 2
b. 5 and -5
10. What is the root for x2−10 x+25?
a. 1/2 and 1
b. -1/2 and -1
c. -5 and -5
d. 2 and -5
c. -1 and 1/2
d. -1/2 and 1