Elimination
Solve the system & write as a coordinate:
-4x - 2y = -12
4x + 8y = -24
(6, -6)
Solve the system & write as a coordinate:
y = 4x - 9
y = x - 3
(2, -1)
What form is this equation in:
y = -3x + 4
Slope-intercept form
How many solutions does this equation have:
2x + 4y = 16
2x + 3y = 16
What is one solution?
(8, 0)
What is the y value in the following equations?
3x + 5 = 6
y = 9
9
Solve the system & write as a coordinate:
8x + y = -16
-3x + y = -5
(-1, -8)
Solve the system & write as a coordinate:
3x - 5y = 17
y = -7
(-6, -7)
What method did this person use to solve:
y= 4x + 2
4x - 5y = 38
4x - 5(4x+2) = 38
Substitution
What did this person do wrong...
x = 6
4x + 2y = 10
4x + 2(6) = 10
They substituted x into the wrong spot
Divide the following fractions together:
1/2 ÷ 5/6 ÷ 2/5 ÷ 6/5
5/4 or 1.25
Solve the system & write as a coordinate:
-4x + 9y = 9
x - 3y = -6
What is (9, 5)?
Solve the system & write as a coordinate:
4x - y = 20
-2x - 2y = 10
(3, -8)
What method is this person going to use to solve (based on their first step):
4x - y = 10
3x + 2y = 13
2(4x - y = 10) --> 8x - 2y = 20
Elimination
How many solutions does this equation have:
44x + 23y = 39
44x + 23y = 40
No solutions
What is 7!
5040
Solve the system & write as a coordinate:
-3x + 7y = -16
-9x + 5y = 16
(-4, -4)
Solve the system & write as a coordinate:
4x + 2y = 10
x - y = 13
(6, -7)
This person cannot remember the name of the number 32 in this equation- help them out!
y = -6x + 32
y-intercept or constant
This person has found x=4. Write their next step.
-4x + 3y = 2
3x -2y = 0
-4(4) + 3y = 2
OR
3(4) - 2y = 0
Amanda and Amy each improved their yards by planting daylilies and geraniums. They bought their supplies from the same store. Amanda spent $64 on 4 daylilies and 3 geraniums. Amy spent $124 on 2 daylilies and 13 geraniums. What is the cost of one daylily and the cost of one geranium?
daylily: $10, geranium: $8
Solve the system & write as a coordinate:
3x - 2y = 2
5x - 5y = 10
(-2, -4)
Solve the system & write as a coordinate:
6x - 12y = 24
-x - 6y = 4
(2, -1)
This person cannot remember the name for the 4 and the 3 in this equation- help them out!
4x + -3y = 22
Coefficient
How many solutions does this equation have:
-58x + 26y = 404
-29x + 13y = 202
Daniel and Shawna each improved their yards by planting hostas and ornamental grass. They bought their supplies from the same store. Daniel spent $58 on 2 hostas and 6 bunches of ornamental grass. Shawna spent $151 on 11 hostas and 12 bunches of ornamental grass. Write the two equations for the problem and find the cost of one hosta and the cost of one bunch of ornamental grass in coordinates.
58 = 2h + 6g
151 = 11h + 12g
hosta: $5, bunch of ornamental grass: $8
(5,8)