Math 2
Slowrex
math2.docx1. Determine which of the following points lies on the graph of the equation:
|
|
|
(0,7) |
|
|
|
(0,6) |
|
|
|
(0,5) |
|
|
|
(6,5) |
|
|
|
(1,5) |
5 points
QUESTION 2
1. Complete the table. Use the resulting solution points to sketch the graph of the equation.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 points
QUESTION 3
1. Graphically estimate the x- and y- intercepts of the graph:
y = x3 - 9x
|
|
|
x-intercept: (±3,0),(0,0) y-intercept: (0,0) |
|
|
|
x-intercept: (3,0),(0,0) y-intercept: (0,0) |
|
|
|
x-intercept: (-3,0),(0,0) y-intercept: (0,0) |
|
|
|
x-intercept: (0,±3),(0,0) y-intercept: (0,0) |
|
|
|
x-intercept (0,3),(0,0) y-intercept (0,0) |
5 points
QUESTION 4
1. Find the x- and y-intercepts of the graph of the equation
y=49-7x
|
|
|
x-intercept: (7,0) y-intercept: (0,-7) |
|
|
|
x-intercept: (49,0) y-intercept: (0,7) |
|
|
|
x-intercept: (-7,0) y-intercept: (0,-49) |
|
|
|
x-intercept: (49,0) y-intercept: (0,49) |
|
|
|
x-intercept: (7,0) y-intercept: (0,49) |
5 points
QUESTION 5
1. Determine whether the value of x=7 is a solution of the equation:
|
|
|
no |
|
|
|
yes |
5 points
QUESTION 6
1. Solve the equation 8-5x=6
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
5 points
QUESTION 7
1. Solve the equation and check your solution.
-2-4x=30
|
|
|
9 |
|
|
|
-11 |
|
|
|
-8 |
|
|
|
7 |
|
|
|
-10 |
5 points
QUESTION 8
1. Solve the equation and check your solution.
5y + 1 = 6y - 5 + 8y
|
|
|
2/3 |
|
|
|
3/2 |
|
|
|
6/5 |
|
|
|
5/6 |
|
|
|
-2/3 |
5 points
QUESTION 9
1. Solve the equation and check your solution.
67x - 24 = 3x + 8(8x-3)
|
|
|
3 |
|
|
|
67 |
|
|
|
-3 |
|
|
|
-67 |
|
|
|
All real numbers |
5 points
QUESTION 10
1. Solve the equation and check your solution.
|
|
|
10 |
|
|
|
6 |
|
|
|
7 |
|
|
|
9 |
|
|
|
8 |
5 points
QUESTION 11
1. Solve the equation and check your solution. (If not possible, explain why.)
|
|
|
2 |
|
|
|
5 |
|
|
|
6 |
|
|
|
4 |
|
|
|
10 |
5 points
QUESTION 12
1. Solve the equation and check your solution. (If not possible, explain why)
|
|
|
-18 |
|
|
|
7 |
|
|
|
11 |
|
|
|
No solution. The variable is divided out. |
|
|
|
20 |
5 points
QUESTION 13
1. Write the quadratic equation in general form.
4x2 = 8 - 9x
|
|
|
4x2 + 9x + 8 = 0 |
|
|
|
4x2 + 9x = -8 |
|
|
|
4x2 - 9x - 8 = 0 |
|
|
|
-4x2 + 9x - 8 = 0 |
|
|
|
4x2 + 9x - 8 = 0 |
5 points
QUESTION 14
1. Solve the quadratic equation by factoring.
x2 - 6x + 5 = 0
|
|
|
-1, 5 |
|
|
|
-1,-5 |
|
|
|
1,-5 |
|
|
|
1,5 |
|
|
|
6,5 |
5 points
QUESTION 15
1. Solve the quadratic equation by factoring.
x2 + 8x + 16 = 0
|
|
|
4 |
|
|
|
-1/4 |
|
|
|
-4 |
|
|
|
±4 |
|
|
|
1/4 |
5 points
QUESTION 16
1. Solve the equation by extracting square roots.
(x+6)2 = 5
|
|
|
6 + √5 |
|
|
|
-6 ± √5 |
|
|
|
-6 -√5 |
|
|
|
6 ± √5 |
|
|
|
-6 + √5 |
5 points
QUESTION 17
1. Use the Quadratic Formula to solve
x2 + 20x + 98 = 0
|
|
|
x = -8, x = -12 |
|
|
|
x = -√2 - 10, x = √2 - 10 |
|
|
|
x = -√3 - 10, x = √3 - 10 |
|
|
|
x = 10, x = -10 |
|
|
|
x = -√2 - 9, x = √2 - 9 |
5 points
QUESTION 18
1. Write the complex number in standard form.
√ -9
|
|
|
3i |
|
|
|
-3i |
|
|
|
9i |
|
|
|
4i |
|
|
|
-9i |
5 points
QUESTION 19
1. Find real numbers a and b such that the equation is true.
a + bi = 14 + 2i
|
|
|
a=16, b=4 |
|
|
|
a=18, b=6 |
|
|
|
a=14, b=2 |
|
|
|
a=15, b=14 |
|
|
|
a=17, b=5 |
5 points
QUESTION 20
1. Find all solutions to the following equation.
|
|
|
x = -17/4 |
|
|
|
x=9 |
|
|
|
no solution |
|
|
|
x=-17 |
|
|
|
x=-8 |
