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WorksheetsLEARNING QUADRATIC EQUATION
Total questions: 50
Worksheet time: 35mins
It is a polynomial of degree two that can be written in the form ax2 + bx + c = 0 where a, b, and c are real numbers and a is not equal to zero.
Quadratic Equation
Quadratic Expression
Quadratic Function
Quadratic Inequality
Which of the following is a quadratic equation?
2r2 + 4r + 1
3t - 7 = 2
3s2 + 5s - 4 = 0
2x2 - 7 > 3
One of the factors of x2 - 7x - 30 is x + 3. What is the other factor?
x - 5
x + 6
2x + 5
x - 10
Which of the following quadratic equations can be solved easily by extracting square roots?
x2 + 7x + 12 = 0
4t2 - 9 = 0
2w2 + 7w - 3 = 0
3v2 + 2v - 8 = 0
Which of the following mathematical statement is a quadratic inequality?
2r2 - 3r - 5 = 0
7h - 12 < 0
3r2 + 7r - 2 ≥ 0
x2 + 8x + 15 = 0
What are the roots of the quadratic equation x2 - 6x + 8 = 0
2 and 4
2 and 3
-2 and -3
-2 and -4
What number must be added so that the algebraic expression x2 + 10x + _____is a perfect square trinomial?
1
5
25
100
What is the value of a in the quadratic equation 2x(x - 3) + 7 = 0?
2
-3
6
7
Express: x2 - 16x + 64 as a square of binomial.
(x - 4)2
(x - 8)2
(x - 16)2
(x - 32)2
What is the least common denominator of the rational algebraic expression 2/p+1 + 3/p-1 = 5?
p + 1
p - 1
(p + 1)(p - 1)
5 (p + 1)(p - 1)
What values of x will satisfy the equation x2 = 100?
-10 and 10
-25 and 4
-50 and 2
-4 and 25
Which of the following equations represent a quadratic functions?
y = 3 + x2
2y2 + 3 = x
y = 3x - 22
y = 2x - 3
The graph of a quadratic function is called __________________.
ellipse
hyperbola
line
parabola
In the quadratic function y = x2 + 3, the graph is concave ______________.
downward
upward
to the left
to the right
What are the zeros of the quadratic function y = x2 - x - 2?
1 and 2
1 and -2
-1 and 2
-1 and - 2
What is the vertex of the quadratic function f(x) = (x - 1)2 - 2?
(1 , -2)
(-1 , 2)
(-1 , -2)
(1 , 2)
Consider the function f(x) = (x + 3)2 + 2, the axis of symmetry is _____.
x = 3
x = -3
x = 2
x = -2
What is the value of y when x = 4 in y = x2 + 5x - 6?
-20
-30
20
30
What is the number of solution set in a quadratic inequality?
one
two
zero
more than two
What are the roots of the quadratic equation x2 + 10x + 18 = 0?
x = 2 ± 57
x = 7±2√5
x = 5±√7
x = 2±7√5
What is the sum of the roots of the quadratic equation x2 + 3x - 18 = 0?
-18
-3
3
6
The roots of a quadratic equation are -5 and 3. Which of the following quadratic equation has these roots?
x2 - 8x + 15 = 0
x2 + 8x + 15 = 0
x2 - 2x - 15 = 0
x2 + 2x - 15 = 0
Which of the following coordinates of points belong to the solution set of y ≥ x2 + 7x + 6?
(-1, 2)
(1, -3)
(1, 1)
(1, -1)
Find the solutions of the quadratic equation 2x2 + 7x - 9 = 0 using the quadratic formula.
-9/2 and 1
9/2 and -1
3/2 and -3
-3/2 and 3
What is the value of the discriminant of the quadratic equation x2 + 8x + 5 = 0?
2
4
5
6
One of the roots of the quadratic equation 2x2 - 3x - 9 = 0 is 3. What is the other root?
3/2
2/3
-2/3
-3/2
What is the value of the discriminant of the quadratic equation x2 + 8x + 5 = 0?
20
24
44
64
What is the value of a when f(x) = (2x - 5)2 + 6 is written in standard form?
2
4
5
6
The quadratic function f(x) = x2 + 2x - 1 is expressed in standard form as ___________.
f(x) = (x + 1)2 + 1
f(x) = (x + 1)2 - 2
f(x) = (x + 1)2 + 2
f(x) = (x + 1)2 - 1
What is f(x) = -3(x + 2)2 + 2 when written in the form f(x) = ax2 + bx + c
f(x) = 3x2 + 12x - 10
f(x) = -3x2 - 12x - 10
f(x) = -3x2 + 12x +10
f(x) = -3x2 + 12x - 10
The minimum value of the quadratic function f(x) = x2 + 6x + 6 is ____________.
-2
2
-3
6
Find the quadratic function whose zeros are -1 and 4.
f(x) = x2 - 3x - 4
f(x) = x2 - 5x - 4
f(x) = x2 + 3x - 4
f(x) = x2 + 5x - 4
Which of the following values of x make the equation x2 + x - 20 = 0
I. -5 II. 4 III. 5
I and II
II and III
I and III
I, II and III
The graph of y = x2 + 5 is obtained by sliding the graph of y = x2.
5 units upward
5 units downward
5 units to the right
5 units to the left
The length of a garden is 5m longer than its width and the area is 14m2. What is the width of the garden?
2m
5m
7m
9m
The length of a garden is 5m longer than its width and the area is 14m2. What is the length of the garden?
2m
5m
7m
9m
Find two consecutive numbers whose product is 650. If x represents the first number, how would you represent the second number?
x + 1
x - 1
x - 2
2x
Find two consecutive numbers whose product is 650. If x represents the first number, what will be the working equation to solve the problem?
(x)(x + 1) = 650
(x)(x - 1) = 650
(x)(x + 2) = 650
(x)(2x) = 650
Find two consecutive numbers whose product is 650. If x represents the first number, what are the two consecutive numbers?
23 and 24
24 and 25
25 and 26
10 and 65
The sum of two numbers is 35 and their product is the maximum. If x represents one of the numbers, how would you represent the other number?
x + 35
x - 35
35 - x
35 + x
The sum of two numbers is 35 and their product is the maximum. What equation would represent this problem?
y = x(x - 35)
y = x(x + 35)
y = x ( 35 - x)
y = x (35 + x)
The sum of two numbers is 35 and their product is the maximum. What are the two numbers representing this problem?
10 and 25
17 and 18
15 and 20
30 and 5
What is the value of c when f(x) = (x - 3)2 + 6 written in the form f(x) = ax2 + bx + c?
3
6
9
15
Which of the following functions has (1,3) as one of the solution sets?
f(x) = x2 - 2x + 5
f(x) = x2 + 3x + 5
f(x) = x2 +2x + 5
f(x) = x2 - 3x + 5
What are the values of a, b and c in the quadratic function y = (x - 3)2 + 6?
1, -3 and 6
1, 3 and 6
1, 6 and 15
1, -6 and 15
What is the vertex of the parabola?
(-1,0)
(0,-3)
(1,-4)
(3,0)
Identify the 'b' value: y = 16x2 -8x -24
16
-8
8
-24
What is the solution of n2 - 49=0?
-7
7
± 7
no solution
If the graph of a quadratic does not intercept the x axis at any point, then it has:
1 Real Solution
2 Real Solutions
Half a Solution
No Real Solution
What is the number one rule in the class of Ms. Tolen?
study
obey
respect
be honest
