# Project #72874 - Simple Algebra

Question 1:

Identify the graph of the system. {3x+6y2x−6y==−3−12.

 (a) (b) (c) (d)

Question 2:

Find the solution to the system of linear equations by graphing. Express your answer as an ordered pair.

{2x−4y2x+2y==120

Enter the system’s solution as an ordered pair, including the comma. If the system has no solution, enter “none”. If the system has infinitely many solutions, enter “infinitely many solutions”.

Solution: __________

Question 3:

Find the solution to the system of linear equations using substitution.

{yy==2x−1−4x+5

Enter the system’s solution as an ordered pair including the comma. If the system has no solution, enter “none”. If the system has infinitely many solutions, enter “infinitely many solutions”.

Solution: __________

Question 4:

Find the solution to the system of linear equations using elimination.

{5x−6y−5x+3y==3−9

Solution: __________

Enter the system’s solution as an ordered pair including the parentheses and comma. If the system has no solution, enter “no solution”. If the system has infinitely many solutions, enter “infinitely many solutions”.

Question 5:

Find the solution to the system of linear equations using elimination.

{−x−2y5x−2y==4−8

Solution: __________

Enter the system’s solution as an ordered pair including the parentheses and comma. If the system has no solution, enter “no solution”. If the system has infinitely many solutions, enter “infinitely many solutions”.

Question 6:

Find the solution to the system of linear equations using elimination.

{5x+5y7x+3y==31

Solution: __________

Enter the system’s solution as an ordered pair including the parentheses and comma. If a coordinate is not an integer, enter it as a fraction. If the system has no solution, enter “no solution”. If the system has infinitely many solutions, enter “infinitely many solutions”.

Question 7:

Choose the best description of the system.

{yy==−3x−8−3x−3

Select all that apply.

 (a) consistent (b) inconsistent (c) dependent (d) independent

Question 8:

A total investment of \$9,400 is made into two savings accounts. One account yields 9% simple interest and the other 11% simple interest. He earns a total of \$960.00 interest for the year. How much was invested in the 9% account?

\$ ____________

Question 9:

It took an airplane 2 hours to fly 640 mi against a headwind. The return trip with the wind took 113 hours. Find the speed of the plane with no wind and the windspeed.

The speed of the plane is ____________mph.

The windspeed is ____________mph.

Question 10:

Choose the graph of x<−4.

 (a) (b) (c) (d)

Question 11:

Choose the graph of x<5 and y≥−4.

 (a) (b) (c) (d)

Question 12:

Choose the graph of 5x−6y>−30.

 (a) (b) (c) (d)

Question 13:

Choose the graph of y≥(x−4)2+3.

 (a) (b) (c) (d)

Question 14:

Choose the graph of

{(x+2)2+y2≤163y<2x−3

 (a) (b) (c) (d)

Question 15(16):

A florist designs two high-profit arrangements— a funeral wreath and a bridal centerpiece. The company’s employees can complete up to 16 arrangements each day using up to 25 total person-hours of labor. It takes 4 person-hours to complete 1 funeral wreath, and 1 person-hour to complete 1 bridal centerpiece. How many of each type of arrangements should the florist produce daily for maximum profit, if the profit on a funeral wreath is \$80 and the profit on a bridal centerpiece is \$48?

Number of bridal centerpieces ____________

Number of funeral wreaths ____________

Question 16(18):

Find a, and b given that X=[a−5a+bb], Y=[5−583], and X=Y.

If any answer has multiple solutions, enter the solutions separated with semicolons (;).

a= ____________

b= ____________

Question 17 (20):

Simplify.

−2[−3−1021]

 Subject Mathematics Due By (Pacific Time) 06/07/2015 07:00 pm
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