1. 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.
4×2 = 8 – 9x
4×2 + 9x + 8 = 0
4×2 + 9x = -8
4×2 – 9x – 8 = 0
-4×2 + 9x – 8 = 0
4×2 + 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
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