Nancy and Andrea sold a total of $1482 of merchandise. Nancy's sales were $308 less than four
Question:
Nancy and Andrea sold a total of $1482 of merchandise. Nancy's sales were $308 less than four times Andrea's sales.
Set up a system of equations to determine how much each person sold.
Andrea sold $ ___of merchandise.
Nancy sold $ ___of merchandise.
2.Construct a table of values for the following equation as shown.
x=y-4 for integral values of y from -4 to +4
Complete the following table of values.
x y
-4 __
-3 __
-2 __
-1 __
0 __
1 __
2 __
3 __
4 __
3.Solve the following system of equations.
4x = 3y - 7
2x + 5y = 3
x = ___ and y = ___
(Simplify your answers.)
4.A machine requires two hours to make a unit of Product X and six hours to make a unit of Product Y. Last month the machine operated for 118 hours producing 29 units.
Set up a system of simultaneous equations to determine how many units of each product it produced.
The machine produced ___ unit(s) of Product X.
The machine produced ___ unit(s) of Product Y.
5.A printer company has two locations with a total of 24 employees. If four times the number of employees at the larger location is three less than five times the number of employees at the smaller location, how many employees are at each location?
The smaller location has ___ employee(s) and the larger location has ___ employee(s).
6.A grocery store sells two brands of sauerkraut. Brand X sells for $4.14 per jar while the No-Name brand sells for $3.58 per jar. If 31 jars were sold for a total of $116.02, how many jars of each brand were sold?
There were ___ jar(s) of Brand X sold.
There were ___ jar(s) of the No-Name brand sold.
7.Solve the following linear system graphically.
x + y = 9
x - y = 3
What is the solution of the system of equations?
___ (Type ordered pair.)
8.Graph the equation x = -3
9.Graph the following system of equations for x = 0 to x = 800
4x + 4y = 3200 and x = 500
Please show correct graph.
10.Solve the following linear system graphically.
3x - 4y = 8
x + 4y = -24
What is the solution of the system of equations?