WorksheetsMATH 9 - REVIEW QUIZ FOR 1ST QT
Total questions: 40
Worksheet time: 40mins
What is the standard form of the quadratic equation?
ax2 = bx + c
ax2 – bx = c
ax2 + bx + c = 0
bx + c = ax2
Which quadratic equation has the following values: a = 1, b = 2, c = –4?
x2 + 4x + 2 = 0
x2 – 4x + 2 = 0
x2 + 2x + 4 = 0
x2 + 2x – 4 = 0
The length of a rectangle is 2 inches more than its width (w). The area of the rectangle is 91 square inches. Which quadratic equation expresses this problem? Hint: Area = length width
(w+2) * (w) = 91
(2w)*(w)=91
(w-2) * (w) = 91
(w+2)*(w+2)=91
The square of a number is 81. What is the number?
3
6
9
12
Which of the following quadratic equations has the solutions of ±8?
x2 = – 64
x2 = 64
x2 = – 16
x2 = 16
If the area of a square tile is v2 − 144, what is its dimensions?
(v + 12) (v – 12)
(v + 12) (v + 12)
(v – 12) (v – 12)
(v – 12)2
A rectangular garden has an area of 48 square meters. The length of the garden is 2 meters more than its width. Which are the correct dimensions of the garden? Hint: A = (length) (width)
l = 8 m, w = 6m
l = 4m, w = 2m
l = 6m, w = 4m
l = 8m, w = 4m
A student solves the quadratic equation x2 – 20x + 19 = 0, gets the factors (x – 19) and (x – 1); and the roots x = – 19 and x = – 1. Evaluate the accuracy of this student's solution.
The solution is correct.
The solution is incorrect because the correct roots are x = 19 and x = – 1.
The solution is incorrect because the correct roots are x = 19 and x = 1.
The solution is incorrect because the correct roots are x = – 19 and x = 1.
Two students used different methods to solve the equation x2 + 6x + 9 = 0. Student A factored the equation, and Student B used the quadratic formula. Both of them arrived at x = – 3. Evaluate their approaches.
Student B’s use of the quadratic formula is unnecessary, but the solution is correct.
Both students' approaches are correct because both methods will result at the correct answer.
Neither student's approach is appropriate for this type of equation.
Student A’s factoring method is incorrect.
Which expression is equal to a discriminant value 36?
42 – 4(1)(-5)
42 – 4(-2)(-4)
42 – 4(2)(-5)
. 42 – 4(1)(5)
Which of the following statements is the CORRECT conclusion if the discriminant is greater than zero?
The roots are irrational and equal.
The solutions are unreal and equal.
The roots are two distinct real roots.
The roots contain an imaginary number.
Which is true if the discriminant is equal to zero (D = 0)?
The roots are two equal numbers.
The roots are imaginary.
The roots are not equal.
The roots are distinct.
Which of the following quadratic equations has coefficient values b = –3 and c = 2 ?
(x + 2) (x + 1) = 0
(x + 2) (x – 1) = 0
(x – 2) (x + 1) = 0
(x – 2) (x – 1) = 0
What are the roots of an equation whose values of coefficient are a = 1, b = – 4, c = 4 ?
x = 2
x = - 2
x = 4
x = - 4
Which quadratic equation have roots x = 2 and 5 ?
x2 + 7x + 10 = 0
x2 – 7x – 10 = 0
x2 – 7x + 10 = 0
x2 + 7x – 10 = 0
Which of the following methods is used to solve equations with dissimilar denominators?
use quadratic formula
use FOIL method
get the LCD
get the GCF
Which equation is transformable to a quadratic equation with degree 2?
5(m +1)= 0
1/m + 5/m = 6
m (m + 3)= 2
m/2 - (m+2)/4 = 7
If the area of a square tile is x2 − 64, what is its dimension?
(x – 8) (x + 8)
(x + 8) (x + 8)
(x + 16) (x + 16)
(x + 16) (x - 16)
Which of the following quadratic equations in standard form represents a rectangle with an area of 45 m2 and with dimensions (x – 1) meters by (2x – 5) meters?
2x2 – 7x + 40 = 0
2x2 + 7x + 40 = 0
2x2 + 7x – 40 = 0
2x2 – 7x – 40 = 0
Which inequality correctly expresses a grade, g, that is 88 and above?
g > 88
g < 88
g ≥ 88
g ≤ 88
A quadratic inequality can assume any of the following standard form EXCEPT
ax2 + bx + c < 0
ax2 + bx + c > 0
ax2 + bx + c ≥ 0
ax2 + bx + c = 0
Which of the following type of lines should you use to illustrate the graph of ?
solid lines
perpendicular lines
curve lines
broken lines
Which value will you substitute to the inequality to make it true?
- 4
5
- 3
6
Which solution shows the correct way of solving x^2+6x+8 < 0?
(x + 2) (x + 4) = 0
(x + 2) (x + 4) = 0
(x - 2) (x - 4) = 0
(x - 2) (x - 4) = 0
A rectangular parking lot must have an area of at least 8000 square feet. The only possible values of the length to meet the required area is 46 ≤ l ≤174. What does it mean?
The length must only be greater than 46 but less than or equal to 174.
The length must only be less than 46 but greater than or equal to 174.
The length must only be greater than or equal to 46 but less than or equal to 174.
The length must only be less than or equal to 46 and greater than or equal to 174.
Serge is solving the inequality x2 + 4x – 5 > 0 and found that the solution to make the inequality true is either x is less than -5 or if x is greater than 1. Which of the following expresses the solution correctly?
(-∞,-5)∪(1,∞)
[-∞,-5]∪[1,∞]
(-5 , 1)
[-5 , 1]
Christian, a professional diver, jumped off into the ocean from a height of 220 m. Which quadratic function models this function?
h(t) = - t2 + 220t
h(t) = -0.5t2 + 220t
h(t) = -t2 + 2t + 110
h(t) = -0.5t2 + 2t + 220
Which function models the ball that is thrown straight up from 3 m above the ground with a velocity of 14 m/s?
h(x) = –5x 2+ 14x + 3
h(x) = 3x + 14x - 9
h(x) = –5x2 + 14x - 3
h(x) = –3x2 + 14x + 9
Calen wants to build a rectangular container with length 6 meters longer than the width. The area, A, of the garden must be equal to 44 square meters. Which function models the area of Calen’s container?
A(w) = w2 + 6w - 44
A(w) = w • (6+w) + 44
A(w) = w2 - 6w - 44
A(w) = w2 - 6w + 44
Which graph shows a quadratic function with only one x-intercept?
Which graph shows a quadratic function whose roots/zeros are x = -4 and 4 ?
Which function models the height of a rocket launched from the ground with a velocity of 15m/s?
h(t) = 3t2 + 14t - 9
h(t) = –3t2 + 14t + 9
h(t) = –5t2 + 14t - 3
h(t) = –5t2 + 14t + 3
hich value must be added to the equation y = x2 + 6x + 2 to transform it to vertex form?
- 6/2
- 6/4
- 62/2
(-6/2)2
What is the opening of the parabola?
to the left
to the right
downward
upward
What is the vertex of the parabola?
(6 , 0)
(0 , 6)
(-6 , 0)
(0 , -6)
A ball is thrown straight up, from 3 m above the ground, with a velocity of 14 m/s and is modelled by h(t) = –5t2 + 14t + 3. What is the initial height of the ball
12 m
9 m
6 m
3 m
A ball is thrown straight up, from 3 m above the ground, with a velocity of 14 m/s and is modelled by h(t) = –5t2 + 14t + 3. How much time does it take for the ball to reach its maximum height?
1.1 seconds
1.2 seconds
1.3 seconds
1.4 seconds
A ball is thrown straight up, from 3 m above the ground, with a velocity of 14 m/s and is modelled by h(t) = –5t2 + 14t + 3. How much time does it take for the ball to reach its maximum height?
1 second
2 seconds
3 seconds
4 seconds
Which of the following expresses the y – intercept?
y = -3
y = -2
y = -1
y = 0
Which of the following represents the equation of the axis of symmetry?
x = 1
x = 2
x = 3
x = 4
