What is the solution?
(-1,1)
Solve the systems of equations using substitution:
-3x + 4y = -2
y = -5
(-6, -5)
Solve the systems of equations using Elimination:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
What strategy would you use and explain why?
14x + 2y = 26
-14x - 6y = -50
elimination because the coefficients of x will cancel out.
What US state has a flag featuring three white stars within a blue circle? The stars represent the three "Grand Divisions" of the state, and the symbol is embedded within the logo of the state's NFL team.
Tennessee
Create a system of equations from the following information:
A bat (x) and a ball (y) cost a total of $1.20. The bat (x)cost $1.00 more than the ball (y).
x + y=1.20
x= 1 + y
How many solutions are there?
No Solutions
Solve the systems of equations using substitution:
-5x - 5y = -25
y = -2x
(-5, 10)
Solve the systems of equations using Elimination:
-3x - 5y = 2
3x + 5y = 7
No Solution
What strategy would you use and explain why?
-5x - 5y = 10
y = -4x -17
substitution because y is already solved for.
And you thought they were just annoying little birds that pooped in public parks! But no, one of Queen Elizabeth’s favorite hobbies was racing what type of bird that lends its name to a famous forge in East Tennessee?
Pigeon
Create a systems of equations from the following information:
There are a combination of 20 nickels(n) and dimes(d) in my pocket. The sum of change is $3.05.
n + d = 20
0.05n + 0.1d = 3.05
Solve Using Graphing:
y=5/3x+2
y=-x-6
Solve the systems of equations using substitution:
y = -2x - 9
3x - 6y = 9
(-3, -3)
Solve the systems of equations using Elimination:
-6x - 10y = 4
6x + 10y = -4
Infinitely Many
Is there 1 solution, No solution, or Infinite solutions for the system of linear equations below? AND JUSTIFY WHY
3x - y = 19
-3x + y = 10
No Solutions because it is a false statement.
The Imagination Library is a free children's book gifting program started by what famous singer in 1995? The program started by offering a monthly book to each child in Sevier County, Tennessee regardless of family income.
Dolly Parton
Tickets to a movie cost $5 for adults and $3 for students. A group of friends purchased 18 tickets for $82.00. How many adults ticket did they buy?
14 adult tickets
Solve by graphing:
y = 2x - 3
2y - 4x = -6
Infinitely Many Solutions
Solve the systems of equations using substitution:
-8x - 5y = -24
-x + y = 10
(-2, 8)
Solve the systems of equations using Elimination:
x + 8y = 2
3x + 4y = 26
(10,-1)
What graph does a system of equations with one solution look like? (use words, not images)
intersecting lines
Which former capital of Ancient Egypt is located 12 miles (20 km) south of Cairo on the west bank of the Nile? The city in question shares its name with a city in Tennessee.
Memphis
A class of 195 students went on a field trip. They took 19 vehicles, some cars and some buses. If each car holds 5 students and each bus hold 25 students, how many buses did they take?
5 Buses
Solve the systems of linear equations by graphing:
y = -1/2x - 3
x + y = -1
(4,-5)
Solve the systems of equations using substitution:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
Solve the systems of equations using Elimination:
-5x + 7y = -7
-2x - 2y = 2
(0, -1)
Name two forms of a linear equation?
**I'm not talking about methods...
1. slope-intercept form (y = mx + b)
2. standard form (Ax + By = C)
Although Memphis and Nashville are in the same state, the Tennessee capital is not in fact the closest U.S. state capital to Memphis. What other city is? We're using "as the crow flies" rather than driving distance. And we're looking for the city, not the state.
Little Rock, AR
Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 then how many of each kind did she buy?
2 fancy shirts and 5 plain shirts