1. Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent.
x+y=14
x-y=4
(9, 5)
consistent, independent
#2. Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or indepent.
4x-y=31
4x+5y= -11
(6, -7)
consistent, independent
#3. Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent.
4u+v=9
4u=v+15
(3, -3)
consistent, independent
#4. Solve the system by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent.
y= -x - 10
8x-7y=40
What is the solution of the system of equations? Type an ordered pair. Type N if there us no solutio. Type R is the solution is all real numbers.
(-2, -8)
consistent, independent
#5. OK, I am going to try and describe this. There is a graph that says its solution is (2,-4)
Consistent, independent
X = 2, y = -4
#6)
First the graph says: Solutions - infinitely many.
Then the graph has a line that goes front -9 on the y (vertical) line and intersects at -4 as it crosses the y (horizontal) line then as it goes upward it crosses at 6 and ends up at the top at the ten straight up from the 3 line coming up from the Y line.
Consistent, DEpendent
which system of equations matches he graph?
a) 9x-6y+ - 36
-9x+6y=36
Without seeing the graph, I’d pick A… but I would need the graph to be sure.
b) 9x-6y= -36
-9x - 6 y =36
#7) I figured that one out
#8) Solve by the substitution method
2x-4y=-4
8x+61=y
(-8, -3)
#9) Solve by the substition method.
2m+n =4
m - 2n =22
(6, -8)
#10) Solve by the solution method
7x+5y = 3
-8x+y=57
(-6, 9)
#11) Solve by the substitution method.What is the solution of the system. Type an ordered pair. Type N is there is no solution.
6x + 9y = 3
- 2x + y = 19
(-7, 5)
#12) The perimeter of a rectangle is 106m. The length is 5m more than twice the width. find the dimensions.
What is the length? 37 m
what is the width?16m
#13) Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 65 points. They won 10 more games than they tied. How many wins and how many ties did the team have?
Wins = 25
Ties = 15
14) Solve by the elimination method
What is the solution of the system. Type an ordered pair. Type an integer or a fraction. Type N is there is no solution. Type 1 if there are infinitely many solutions.
x + 8y =22
-x+6y = 6
(6, 2)
#15) solve the system by the elimination method. Type an ordered pair. Type an ordered pair. Type an integer or a fraction. Type N if there is no solution. Type 1 if there are infinitely many solutions.
5 x + 5y = -11
7 x - 3 y =17
() – you need to be careful here… both of those MUST be entered into mathlab using the fraction tool, you can’t just write it like I did.
#16) solve by the elimination method Type an ordered pair. Type an integer or a fraction. Type N if there is no solution. Type 1 if there are infinitely many solutions.
What is the solution to the system?
0.3x - 0.2 y =4
0.4x+ 0.5 y =1
() --- note again, you MUST use the fraction tools to enter each of these fractions...
#17) solve by the elimination method Type an ordered pair. Type an integer or a fraction. Type N if there is no solution. Type 1 if there are infinitely many solutions.
4 x - 9 y = 18.5
7 y - 2 x = - 10.5
(3.5, -0.5)
#18) solve by the elimination method Type an ordered pair. Type an integer or a fraction. Type N if there is no solution. Type 1 if there are infinitely many solutions.
0.05x + 0.25y =66
0.15x + 0.05y =72
(420, 180)
#19) the perimeter of a rectangle is 146 inches. The length exceeds the width by 57 inches.
Length = 65
Width = 8
#20)The Everton college store paid $1889.00 for an order of 48 calculators. The store paid $9.00 for each scientific calculators. The othrs, all graphing calculators, cost the store $56.00 each.
How many graphing calculators were ordered? 31
How many scientific calculators were ordered? 17
#21) Snookers Lumber can convert logs into either lumber or plywood. In a given day, the mill turns out three times as many units of plywood as lumber. It makes a profit of $20.00 on a unit of lumber and $45.00 on a unit of plywood. How manyof each unit must be produced and sole in order to make a profit is $15,810.00?
Lumber = 102
Plywood = 306
#22) A disc jockey must play 16 commercial spots during 1 hour of a radio show. Each commercial is either 30 seconds long or 60 seconds long. if the total commercial time during the 1 hour is 13 minutes, how many 30- second commercials were played during that hour. How many 60 second commercials were played during that hour?
30 second commercials = 6
60 second commercials = 10
#23) Soybean meal is 14% protein; cornmeal is 7% protein. How many pounds of each should be mixed together in order to get a 280 pond mixture that is 10% protein?
Cornmeal in pounds= 160
Soybean meal in pounds = 120
#24) A student makes $9.75 purchase at the bookstore with a $20.00 bill. the store has no bills and gives the change in quarters and 50 cent pieces. There are 30 coins in all.
How many quarters are there in the change? 19
How many 50 cent pieces are there in the change?11