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week_6_assign_math.docx

Question 1 :

Write the equation of vertical line passing trough the point  (5, 2).

x = 5

x = 2

y = 5

y = 2

Question 2:

Do the graph that represents the function: y = 2x – 4

Question 3:

Do the graph that represents the function: 5x - 3y = 15

Question 4

Convert given equation of line to slope-intercept form y = mx + b and identify slope m:

x + 2y = 8

a. m= - 1/2

b. m=2

c. m=1

d. m=4

Question 5:

Find slope of the line for the graph below: 

Macintosh HD:Users:nesrinekhemiri:Desktop:Screen Shot 2015-08-15 at 9.20.21 PM.png

a. -1

b. -2

c. 1

d. 2

Question 6:

Select inequality that represents shaded area on the graph below:

Macintosh HD:Users:nesrinekhemiri:Desktop:Screen Shot 2015-08-15 at 9.22.37 PM.png

a. 2x + y < 4  

b. 4x + 2y < 1 

c. x + 2y > 4 

d. x - 2y < 1

Question 7:

Select inequality that represents shaded area on the graph below:   

Macintosh HD:Users:nesrinekhemiri:Desktop:Screen Shot 2015-08-15 at 9.24.42 PM.png

a. y < (1/4)x + 2  

b. y > (1/4)x + 2 

c. y > x + 2 

d. y < x + 2 

Question 8:

For the function:

F(x) = x-5

x+5

find f(-10)

a. 1.5 

b. - 5

c. 3

d. - 2

Question 9 :

Solve system of equations using Substitution Method. Show steps, not just answer. x + y = 3 2x + 3y = 4 Type your solution in the box below.

Question 10:

Solve system of equations using Addition (Elimination) Method. Show steps, not just answer. x – 2y = 2 5x + 2y = 22 Type your solution in the box below.

Question 11:

Macintosh HD:Users:nesrinekhemiri:Desktop:Screen Shot 2015-08-15 at 9.30.43 PM.png

question 12:

Peter weights 30 lbs more than John. Total weight of Peter and John together is 300 lbs.   Let Peter's weight is x lbs and John's weight is y lbs. Create two equations with x and y, and solve system of equations.

Type your solution in the box below.

Question 13:

If you buy 1 pound potatoes and 2 pounds tomatoes you will pay $4. For 4 pounds potatoes and 3 pounds tomatoes you will pay $8. How much costs pound potatoes and how much costs pound tomatoes? Assign x for cost of potatoes per pound and assign y for cost of tomatoes per pound. Create two equations with x and y, and solve system of equations. Answers should decimal numbers with two digits after decimal point (like 4.20) Type your solution in the box below.

Question 14:

Select system of two inequalities that represent shaded area on the graph below:   

Macintosh HD:Users:nesrinekhemiri:Desktop:Screen Shot 2015-08-15 at 9.32.55 PM.png

a. x+y≤ 2

y≥ 2

b. x - y  ≤  2  y ≤ 2

c. 2x - 2y  ≤  1  y > 2

d. 2x + 2y  ≤  1  y < 1 

Question 15:

Do the graph that represents solution for the following system of inequalities: x + y ≤ 2 2x - y ≤ 4