6.00 Semester 1 Exam (Part 1)
Question 1
Which of the following is an example of a function?
{(-1, 0), (-1, 3), (3, 9), (5, 10)}
{(1, 3), (2, 5), (3, 8), (4, 10)}
{(4, 6), (5, 9), (4, 7)}
{(0, 2), (0, 3), (1, 5), (4, 5)}
2 points
Question 2
What is the inverse of y = 5x + 20? y = 5x + 4 y = 20x - 52 points
Question 3
What is the domain of the following function? {0, 4, 5} {0, 1, 2, 3, 4} {0, 2, 3, 4, 5} {1, 2, 3, 4}2 points
Question 4
Find g º f if f(x) = 2x - 1 and g(x) = x + 2. 2x - 3 2x + 1 2x - 1 2x + 32 points
Question 5
What is the solution of -5x > 25? x > -5 x < -5 x > 5 x < 52 points
Question 6
The solution of is 25. TRUE FALSE2 points
Question 7
The only solution to |r+3|=1 is -2. TRUE FALSE2 points
Question 8
Solve 3|2-x|≥12 x ≤ -2 or x ≥ 6 x ≥ 2 and x ≤ 6 x ≤ -2 x ≥ 62 points
Question 9
Find the slope between points (2, 3) and (-1, 0). -1 1 0 undefined slope2 points
Question 10
What is the slope of the following linear function? -3 3 2 points
Question 11
What is the equation of the following linear function? y = -4x - 4 y = 4x - 4 y = 3x - 4 y = -3x - 42 points
Question 12
What is the equation of a line which includes points (-5, 5) and (2, 5)? x = -5 x = 5 y = 5 y = -52 points
Question 13
The equation of a line with slope m = - and including point (-3, 5) is y = - x - 4. TRUE FALSE2 points
Question 14
The following is the graph of 2x - 8y = 10. TRUE FALSE2 points
Question 15
The following is the graph of y = -x - 6. TRUE FALSE2 points
Question 16
Write the inequality of the following graph. y < -2x - 1 y > 2x - 1 y > -2x - 1 y < 2x - 12 points
Question 17
The following graph is the quadratic parent function. TRUE FALSE2 points
Question 18
What is the a value of the following function? ½ 3 22 points
Question 19
The following is the graph of f(x) = 3(x - 3)2 + 1. TRUE FALSE2 points
Question 20
Which of the following is the equation of g(x) if the parent function is f(x) = x2 and a = 3, h = -5, and k = 6? f(x) = 3(x - 5)2 + 6 f(x) = -3(x + 5)2 + 6 f(x) = 3(x + 5)2 + 6 f(x) = 3(x - 5)2 - 62 points
Question 21
Find the solution to x2 = 36 x = 6 x = -6 x = ±12 x = ±62 points
Question 22
Solve the quadratic equation y2 - 5y = -4 by factoring. {-2, 2} {2, 2} {-1, 4} {4, 1}2 points
Question 23
Solve the quadratic equation x2 - 3x - 10 = 0. {-5, 2} {-2, -5} {-2, 5} {2, 5}2 points
Question 24
Determine the number of solutions of 2x2 - 3x - 5 = 0. 0 1 (double root) 22 points
Question 25
The solution of x2 = 15 + 2x is {3, 5}.TRUEFALSE2 points
Question 26
The solution to x2 + 4x - 1 = 0 is TRUEFALSE2 points
Question 27
Determine the zeros of the function x2 - 16x + 63 = 0. {7, 9} {-7, 9} {-9, 7} {-9, -7}2 points
Question 28
What is the vertex of the function f(x) = x2 - 7x - 18? (- ,- ) (7, -121) ( ,- ) (7, )2 points
Question 29
An
object is launched upward at 64 ft/sec from a platform that is 80 feet
high. What is the objects maximum height if the equation of height (h)
in terms of time (t) of the object is given by h(t) = -16t2 + 64t + 80? 144 feet 123 feet 167 feet 172 feet2 points
Question 30
What is the domain of the following function? x > 2 x < 6 x ≥ 2 and x ≤ 6 All Real Numbers2 points
Question 31
Find the equation of the quadratic function with zeros at -1, and 1 and vertex at (0, -6). y = 6x2 + 6 y = x2 - 1 y = -6x2 - 6 y = 6x2 - 62 points
Question 32
Find the equation of the quadratic function with zeros 10 and 12 and vertex at (11, -2). y = 2x2 - 44x + 120 y = 2x2 - 44x - 240 y = 2x2 - 44x + 240 y = -2x2 - 44x + 2402 points
Question 33
The following is the graph of f(x) = x2 - 9. TRUEFALSE2 points
Question 34
Write the equation for the area (A) in terms of length ( ) of a playground if the width (w) is one half as long as the length ( ). You do not need to solve the equation. A = 2 A = 2 2 2 points
Question 35
Simplify 2 points
Question 36
can be simplified to ¼.TRUEFALSE2 points
Question 37
The following is the graph of the parent function y = . TRUE FALSE2 points
Question 38
The following is the graph of . TRUE FALSE2 points
Question 39
For the parent function y = what effect does the values h = -2 have on the graph? Vertical shift of 2 units down. Vertical shift of 2 units up. Horizontal shift of 2 units to the left. Horizontal shift of 2 units to the right.2 points
Question 40
Given b = 4 and h = 1, what is the equation of the graph if the parent function is y = ? y = y = y = y = 2 points
Question 41
The following is the graph of .
TRUE
FALSE
2 points
Question 42
Find the domain of the function . x ≥ 2 x > 2 x ≥ 4 x < -22 points
Question 43
The solution to the radical function is x = -22. TRUE FALSE2 points
Question 44
Solve . -16, 4 4 -16 -4, 162 points
Question 45
Solve . 6 7 8 92 points
Question 46
Given the following graph, what is the approximate value of the function at x = 4? 1.9 1.8 1.2 12 points
Question 47
Solve . ≤ 4 x ≥ 2 5 ≤ x ≤ 21 x ≤ 5 x ≥ 52 points
Question 48
Does the function y = 8x represent a direct or inverse variation? Direct Variation Inverse Variation2 points
Question 49
If y varies inversely as x. find the constant of variation if y = 6 and x = 2. 3 12 6 42 points
Question 50
Write an appropriate inverse variation equation if y = 11 when x = 3. y = 15x y = 33x 2 points