Solving systems of linear equations by graphing and substitution
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
|
|
||||
|---|---|---|---|---|---|
| Determine which ordered pair is a solution x+y=8 3x+2y=21 a- (2,4) b- (5,3) | b (5,3)
🗑
|
||||
| Determine which ordered pair is a solution 3x-y=5 x+2y=11 a- (3, 4) b- (0, -5) | a (3, 4)
🗑
|
||||
| Determine which ordered pair is a solution 2x+y=5 x+3y=5 a- (5, 0) b- (2, 1) | b (2, 1)
🗑
|
||||
| Determine the number of solutions of a system 4x+y=24 x+2y=2 | The system has one solution it is intersecting lines.
🗑
|
||||
| Determine the number of solutions of a system 2x+y=0 2y=x-4x | The system has no solution and is parallel lines.
🗑
|
||||
| Use the substitution method to solve the system x+y=3 x=2y 2y+y=3 combine like terms 3y=3 divide both sides by 3 y=1 use y=1 in x=2y equation x=2(1) x=2 | (2, 1)
🗑
|
||||
| Use the substitution method to solve the system x+y=6 y=-3x x+(-3x)=6 combine like terms -2x=6 divide both sides by -2 x=-3 substitute x=-3 into y=-3x equation y=-3(-3) y=9 | (-3, 9)
🗑
|
||||
| Solve the system by graphing x+y=4 x-y=2 | x+y=4
substitute 0 for x
0+y=4
(0, 4)
substitute 0 for y
x+0=4
(4,0)
x-y=2
substitute 0 for x
0-y=2
(0,-2)
substitute 0 for y
x-0=2
(2,0)
The graph would intersect at (3,1)
(I am unable to put a graph in the flash cards sorry)
🗑
|
||||
| Solve the system by graphing x+y=6 -x+y=-6 | x+y=6
substitute 0 for x
0=y=6
(0,6)
substitute 0 for y
x+0=6
(6,0)
-x+y=-6
substitute 0 for x
-0+y=-6
(0,-6)
substitute 0 for y
-x+0=-6
(6,0)
The graph would intersect at (6,0)
( I am unable to put a graph into the flash cards sorry)
🗑
|
||||
| Solve by substitution y=3x+1 4y-8x=12 | 4y-8x=12 put y=3x+1 into the first equation
4(3x+1)-8x=12 distribute
12x+4-8x=12 combine like terms
4x+4=12 subtract 4 from both sides
4x=8 divide both sides by 4
x=2
put x=2 into y=3x+1
y=3(2)+1 distribute
y=6+1
y=7
(2,7)
🗑
|
Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
Created by:
michellewright85
Popular Math sets