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Question 1

1.      

Determine which of the following points lies on the graph of the equation:

https://content.grantham.edu/at/MA105/exams/w2_1.jpg

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(0,7)

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(0,6)

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(0,5)

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(6,5)

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(1,5)

 

5 points   

Question 2

1.      

Complete the table.  Use the resulting solution points to sketch the graph of the equation.

https://content.grantham.edu/at/MA105/exams/w2_2.jpg

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https://content.grantham.edu/at/MA105/exams/w2_2_a.jpg

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https://content.grantham.edu/at/MA105/exams/w2_2_b.jpg

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https://content.grantham.edu/at/MA105/exams/w2_2_c.jpg

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https://content.grantham.edu/at/MA105/exams/w2_2_d.jpg

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https://content.grantham.edu/at/MA105/exams/w2_2_e.jpg

 

5 points   

Question 3

1.      

Graphically estimate the x- and y- intercepts of the graph:

y = x3 - 9x

https://content.grantham.edu/at/MA105/exams/w2_3.jpg

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x-intercept: (±3,0),(0,0)

y-intercept: (0,0)

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x-intercept: (3,0),(0,0)

y-intercept: (0,0)

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x-intercept: (-3,0),(0,0)

y-intercept: (0,0)

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x-intercept: (0,±3),(0,0)

y-intercept: (0,0)

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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

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x-intercept: (7,0)

y-intercept: (0,-7)

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x-intercept: (49,0)

y-intercept: (0,7)

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x-intercept: (-7,0)

y-intercept: (0,-49)

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x-intercept: (49,0)

y-intercept: (0,49)

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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:

https://content.grantham.edu/at/MA105/exams/w2_5.jpg

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no

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yes

 

5 points   

Question 6

1.      

Solve the equation 8-5x=6

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https://content.grantham.edu/at/MA105/exams/w2_6_a.jpg

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https://content.grantham.edu/at/MA105/exams/w2_6_b.jpg

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https://content.grantham.edu/at/MA105/exams/w2_6_c.jpg

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https://content.grantham.edu/at/MA105/exams/w2_6_d.jpg

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https://content.grantham.edu/at/MA105/exams/w2_6_e.jpg

 

5 points   

Question 7

1.      

Solve the equation and check your solution.

-2-4x=30

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9

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-11

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-8

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7

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-10

 

5 points   

Question 8

1.      

Solve the equation and check your solution.

5y + 1 = 6y - 5 + 8y

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2/3

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3/2

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6/5

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5/6

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-2/3

 

5 points   

Question 9

1.      

Solve the equation and check your solution.

67x - 24 = 3x + 8(8x-3)

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3

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67

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-3

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-67

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All real numbers

 

5 points   

Question 10

1.      

Solve the equation and check your solution.

https://content.grantham.edu/at/MA105/exams/w2_10.jpg

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10

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6

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7

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9

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8

 

5 points   

Question 11

1.      

Solve the equation and check your solution.  (If not possible, explain why.)

https://content.grantham.edu/at/MA105/exams/w2_11.jpg

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2

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5

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6

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4

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10

 

5 points   

Question 12

1.      

Solve the equation and check your solution.  (If not possible, explain why)

https://content.grantham.edu/at/MA105/exams/w2_12.jpg

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-18

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7

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11

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No solution.  The variable is divided out.

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20

 

5 points   

Question 13

1.      

Write the quadratic equation in general form.

4x2 = 8 - 9x

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4x2 + 9x + 8 = 0

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4x2 + 9x = -8

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4x2 - 9x - 8 = 0

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-4x2 + 9x - 8 = 0

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4x2 + 9x - 8 = 0

 

5 points   

Question 14

1.      

Solve the quadratic equation by factoring.

x2 - 6x + 5 = 0

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-1, 5

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-1,-5

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1,-5

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1,5

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6,5

 

5 points   

Question 15

1.      

Solve the quadratic equation by factoring.

x2 + 8x + 16 = 0

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4

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-1/4

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-4

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±4

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1/4

 

5 points   

Question 16

1.      

Solve the equation by extracting square roots.

(x+6)2 = 5

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6 + √5

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-6 ± √5

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-6 -√5

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6 ± √5

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-6 + √5

 

5 points   

Question 17

1.      

Use the Quadratic Formula to solve

x2 + 20x + 98 = 0

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x = -8, x = -12

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x = -√2 - 10, x = √2 - 10

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x = -√3 - 10, x = √3 - 10

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x = 10, x = -10

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x = -√2 - 9, x = √2 - 9

 

5 points   

Question 18

1.      

Write the complex number in standard form.

√ -9 

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3i

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-3i

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9i

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4i

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-9i

 

5 points   

Question 19

1.      

Find real numbers a and b such that the equation is true.

a + bi = 14 + 2i

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a=16, b=4

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a=18, b=6

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a=14, b=2

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a=15, b=14

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a=17, b=5

 

5 points   

Question 20

1.      

Find all solutions to the following equation.

https://content.grantham.edu/at/MA105/exams/w2_20.jpg

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x = -17/4

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x=9

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no solution

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x=-17

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x=-8

 

 

 

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