Quiz 4 ( Ch.1 till 4 )-Ms Eman GamalOnline version
Quiz contains 30 questions , 45 mins allowed
1
If f(x) = 3x^2 - 4x + 2, find f(-1)
2
3x + 2y = 14
5x + 3y = 23
The system of equations above is satisfied by which of the following ordered pairs (x, y)?
3
A bookstore sold exactly 72% of the books it had in stock on Monday. Which of the following could be the total number of books in stock on Monday? (Hard)
4
For what value of x is |2x - 3| - 7 = 0?
5
During a special sale at an electronics store, Maria bought a tablet at a 15% discount. She paid a total of p dollars, which included the discounted price of the tablet and a 7% sales tax on the discounted price. In terms of p, what was the original price of the tablet?
6
x = 49
y = √x + 9
The graphs of the given equations intersect at the point (x, y) in the xy-plane. What is the value of y?
7
2x2 - 8x - 7 = 0
One solution to the given equation can be written as (8 - √k)/4, where k is a constant. What is the value of k?
8
7m = 5(n + p)
The given equation relates the positive numbers m, n, and p. Which equation correctly gives n in terms of m and p?
9
x2 = -841
How many distinct real solutions does the given equation have?
10
2(8x) + 4(7y) = 12
-2(8x) + 4(7y) = 12
The solution to the given system of equations is (x, y). What is the value of 8x + 7y?
11
If 2/x + 3 = 9, what is the value of 6/x - 1?
12
The function f is defined by f(x) = 8x. For what value of x does f(x) = 72?
13
f(x) = 4x + b
For the linear function f, b is a constant and f(7) = 28. What is the value of b?
14
3x = 36y - 45
One of the two equations in a system of linear equations is given. The system has no solution. Which equation could be the second equation in this system?
15
-x + y = -3.5
x + 3y = 11.5
If (x, y) satisfies the system of equations above, what is the value of y?
16
(Hard) Which of the following is true about the graph of the equation y = 4(x − 3)² + 13?
17
(Easy) The equation below represents a parabola in the xy-plane. Which of the following equations shows the x-intercepts of the parabola as constants or coefficients?
y = x² + 2x − 24
18
(Hard) For what value of x is the function f undefined in the equation below?
f(x) = 1 / [2(x − 3)² + 4(x − 3) + 2]
19
The value of a stock increased by 5% from 2020 to 2021. If the 2021 value is m times the 2020 value, what is the value of m ?
20
The equation ax² - 16x + 16 = 0 has exactly one solution for which of the following values of constant a?
21
(Hard)
A student spends 5 hours each day working on math and science assignments. It takes the student 1/3 of an hour to complete a math assignment and 1/2 of an hour to complete a science assignment. Which of the following equations represents the number of math assignments, m, and science assignments, s, the student can complete each day?
22
A circle has the equation:
(x - 3)² + (y + 7)² = 25
What is the diameter?
23
Bill draws a circle with the equation:
(x - 4)² + (y + 2)² = 9
All of these points are not on the circle EXCEPT:
24
Which of the following is an equation for the line graphed above?
25
Which of the following is an equation of a line that is parallel to the equation below?
y = −5/8 x + 3
26
Line A is perpendicular to a line that is parallel to y = 5/9 x + 7. What is the slope of line A?
27
Which of the following equations represents a line that is parallel to the line with the equation y = 3/2 x − 7/4?
28
A line passes through the points (x, 6) and (9, 0). If the slope of the line connecting the two points is 2/3, what is the value of x?
29
In the xy-plane, the line determined by (6, m) and (m, 54) passes through the origin. Which of the following could be the value of m?
30
Segment AB has a slope of 7/2. If the line passes through (−6, 3) and (x, −3), what is the value of x?
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