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.

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.

   x^₂ + 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
   		65
   		-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