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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.
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

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1. Determine which of the following points lies on the graph of th.docx

  • 1. 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.
  • 2. 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)
  • 3. 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
  • 4. 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
  • 5. 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.
  • 6. 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
  • 7. 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
  • 8. 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
  • 9. 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
  • 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
  • 11. 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