NEW
Font size
WorksheetsREVIEWER ON FIRST QUARTERLY EXAM
Total questions: 50
Worksheet time: 47mins
Which of the following best describes a polynomial equation of degree two that can be written in the form ax² + bx + c = 0, where a, b, and c are real numbers and a ≠ 0?
Linear Equation
Quadratic Equation
Linear Inequality
Quadratic Inequality
Which of the following equations represents a polynomial equation of degree 2?
x(x +5)=10
3x + 5y = 6
3x +1=2x + 2
3x +5 = 7
In the equation 5x + 2x2 - 10 = 0, which is the quadratic term?
5x2
5x
2x2
- 10
Which of the following is written in the standard form of a quadratic equation (ax² + bx + c = 0)?
3x2 = 2x = 4
x2 + x = 7
3x2 + 4x - 6 = 0
x2 + 5x + 6 > 0
Which of the following gives the correct solution to the equation (x - 4)2 - 81 = 0 by using the extracting square root method?
x = ± 9
x = 13; x = -5
x = ±9
x = ±1
Which of the choices below is the factored form of 10x2+ 30x?
10x(x+3)
10x(x+3x)
5x(2+6)
5(2x2+6x)
Find the solutions of the equations x2 + 10x = - 9 by factoring?
x = - 1; x = - 9
x = 1 ; x = 9
x = - 3 ; x = - 3
x = 3 ; x = 3
By solving the quadratic equation x2+8x-20=0? through factoring, what are its roots?
x=2, x=10
x=2, x=-10
x=-2, x=-10
x=-2, x=10
Find the roots of x2+4x-21=0?
x=3, x=7
x=-3, x=7
x=3, x=-7
x=-3, x=-7
What does the discriminant of a quadratic equation tell you about its root?
It shows the sum of the roots
It gives the product of the roots
It tells whether the roots are real or complex
It is the same as the coefficient ox x2
Given the quadratic equation x2 + 8x + 16 = 0, use the discriminant to determine the nature of its roots.
Two distinct real roots
Two imaginary roots
Cannot be determined
One real repeated roots
Which of the following quadratic equations has two distinct real roots?
x2 + 4x + 4 = 0
x2 - 5x + 6 = 0
x2 + 2x + 5 = 0
x2 + 6x + 9 = 0
In the quadratic equations ax2 + bx + c = 0, which of the following correctly expresses the sum of its roots?
-b/a
c/a
b/c
-c/a
What is the sum and product of the roots of the quadratic equation x2 - 5x + 6 = 0?
Sum = - 5, Product = - 6
Sum = 5, Product = 6
Sum = 5, Product = - 6
Sum = - 5, Product = 6
Which of the following rational algebraic expressions is transformable to a quadratic equation?
x(x+5)=2
3x+2=1
x-1=2x
x2=3x
Which of the following statement is NOT true about the quadratic equation 2x+5 = x3 ?
the standard form of the quadratic equation is x2 + 5x - 6=0
the root of the quadratic equation is - 6 and + 1
the least common denominator is 2x
the equation is linear.
Transform the quadratic equation (x+3)2 = 4 to standard form, then find the solutions.
x = - 1 only
x = -5, -1
x = 1, 5
x = -1, 3
Transform x (3x - 6) = 0 into standard form of quadratic equation.
3x - 6x = 0
3x2 - 6 = 0
3x2 - 6x = 0
x2-6=0
Translate the mathematical phase "Six more than twice a number" into algebraic expressions.
6 + 2x
2 + 6x
2x + 6
2x + 6x
The length of the rectangular board is 36 inches longer than its width. The area of the board is 192 square inches. How would you represent the width of the board?
x
2x
x + 36
36x = 192
A rectangular garden has an area of 21 m2 and a perimeter of 20m. What equation represents the area of a rectangular garden?
21= 2l+2w
21 = lw
20 = l + w
20 =lw
A rectangular garden has an area of 40m2 and a perimeter of 26m. What is the length of the garden?
5m
6 m
7m
8 m
The length of a garden is 3 m longer than its width and the area is 40 m2. How long is the garden?
9 m
8 m
5 m
2 m
Which of the following mathematical statements is quadratic inequality?
3r2 - r - 15 = 0
7h + 14 < 0
3x2 + 5x - 2 ≥ 0
m2 + 12m + 8 = 0
What is the standard form of quadratic inequality (x - 6) (x + 2) > 7?
x2 + 4x - 12 >7
x2 - 4x - 12 > 7
x2 - 4x + 12 > 7
x2 + 4x - 12 > 7
Which of the following mathematical statements is quadratic inequality?
4x2 + 2x - 2 ≥ 0
9h + 18 < 0
5r2 - r - 20 = 0
m2 + 9m + 16 = 0
Which of the following coordinates belong to the solution set of the inequality y < 2x2 + 5x - 1 ?
(-2,9)
(3,1)
(-3,2)
(1,6)
Which of the following is the correct way to solve a quadratic inequality like (x - 2)(x + 5) < 0?
Expand, solve the equation and stop
Only factor and find roots
Guess the answer based on the sign
Solve the equation and test intervals between the roots
In a quadratic inequality 3x2 + 5x - 2 > 0, what is the value of x to make it true?
0
-1
-2
-3
Which of the following represents a quadratic function?
y=3+2x
y=3x-22
2y2+3=x
y=3+2x2
Which graph best represents a quadratic function?
A straight Line
A V-shape
A curve U-Shaped
A horizontal line
To satisfy the function f(x)=4x2, complete the table of values
16
-16
4
-4
Jeric was instructed to graph the of the quadratic function f(x) = 2(x-1)2 - 3. Which of the following should be her answer?
What does the graph of y = -x2 + 4 look like?
It opens upward and has a minimum at y = 4
It opens downward and has a maximum at y = 4
It opens upward and has a maximum at y = - 4
It is a straight line with a slope of -1
What is the purpose of converting a quadratic function from standard form y = ax2 + bx + c to vertex form y = a(x - h)2 + k?
To find the x -intercepts easily
To make the equation shorter
To factor the equation quickly
To identify the vertex and direction of the parabola
Convert the quadratic equation y = x2 + 6x + 5 to vertex form. What is the result?
y = (x + 3)2 + 4
y = (x + 3)2 - 4
y = (x - 4)2 + 3
y = (x + 4)2 + 3
Given the vertex form y = 2(x - 4)2 + 2, what is the equivalent standard form?
y = 2x2 - 16x + 34
y = 2x2 + 16x + 34
y = 2x2 - 16x + 9
y = 2x2 + 16x = 9
What is the vertex of the function y = x2 - 10x + 8?
(5,-17)
(-5,-17)
(5,17)
(17,5)
Given the quadratic function y = - 3x2 + 5x - 1, what is the direction of the opening of the graph?
Opens Upward
Opens downward
Opens to the right
Opens to the left
Find the x-intercept of the function y = x2 - 8x + 7.
x = - 1, - 7
x = 1,7
x = - 1, 7
x = 1,-7
What is the equation of the axis of symmetry of the parabola y = 2x2 + 8x + 5?
x = - 2
x = 2
x = - 4
x = 4
If the zeros of the function are (- 2) and 5, What is the quadratic function?
f(x) = x2 + 3x - 10
f(x) = x2 - 3x - 10
f(x)= x2 - 3x + 10
f(x) = x2 + 3x - 10
The graph of the function f(x)=(x-h)2+k is a parabola. Which of the following is a correct statement about the graph?
There is a maximum point at (-h, k).
There is a minimum point at (-h, k).
There is a maximum point at (h, k).
There is a minimum point at (h, k).
Which of the following is comparable to the graph of a quadratic function?
A lane in a straight highway
The line of people in an ATM machine.
The path of the ball when thrown upward.
An electric wire from one post to another.
If the graph of a quadratic function moves downward, what is the possible value of k?
positive
negative
zero
undefined
If the graph of a quadratic function is moving to the right, what would be the possible value of h?
positive
negative
zero
undefined
If a quadratic function has zeros at x = 3 and x = 5, which equation represents the function (assuming a = 1)?
y = (x+3)(x - 5)
y = (x - 3)( x - 5)
y = (x + 5)2
y = x2 + 3x + 5
A graph shows a parabola with vertex at ( -1, 5) and it opens upward. Which is the correct equation?
y = (x - 1)2 + 5
y = (x + 1)2 + 5
y = (x - 1)2 - 5
y = (x - 5)2 + 1
Find the minimum value of the equation y = x2 - 6x + 1.
(-3,-8)
(-3, 8)
(3,8)
(3,-8)
Find the quadratic function whose zeros are 3 and - 8?
y = x2 - 5x - 24
y = x2 + 5x - 24
y = x2 + 5x + 24
y = x2 - 5x + 24
