Writing Equations
What 2 things do you need to write an equation?
Slope and y-intercept
Solve the system of equations algebraically
x + 4y = 2
2x + 5y = -2
(-6, 2)
Given two points, how do you find the slope?
y2 - y1
------
x2 - x1
What city is the Winter Olympics in this year?
A) Tokyo, Japan
B) Beijing, China
C) Sochi, Russia
B) Beijing, China
Write an equation given slope = 4/7 and y-intercept = (0, -2)
y=4/7x-2
Solve the system of equations algebraically
y = 3x + 4
y = -1/2x -3
(-2, -2)
Given a graph, what do you need to remember when finding slope?
rise over run
Which Winter Olympic sport involves a broom and stone?
A) Curling
B) Luge
C) Biathlon
A) Curling
Write an equation that goes through the points (0, 4) and (-3, 9)
y = -5/3x + 4
Solve the system of equations algebraically
4x - 3y = 9
7x + 2y = -6
(0, -3)
Systems of Equations intersect at a ______.
point
The 2022 Winter Olympic Games are the XXIVth Winter Olympics. What number does XXIV represent?
24
Write the equation 6x - 8y = 32 in slope-intercept form
y = 3/4x - 4
Solve the system of equations algebraically
-3x + 2y = 1
2x + 7y = -9
(-1, -1)
Two parallel lines will have the same _______ and will have ____ solution(s).
slope; zero
Which of these is not a distance used for men's and women's speed skating in the Olympics?
A) 1500m
B) 3000m
C) 5000m
A) 3000m
Write an equation that goes through the points (-2, -3) and (-1, 5)
y = 8x + 13 or y = 8/1x + 13
A movie theater sold 86 tickets to a movie and made $814. A full-price ticket cost $11 but some people had a coupon that made the price of a ticket cost $7 instead. How many full-price tickets were sold and how many discounted tickets were sold?
53 full-price tickets
33 discounted tickets
Given the system: 6x + 3y = -3; 2x + y = -1
How many solution(s) does the system have? How do you know?
Infinitely Many Solution; they are the same line
The 2026 Winter Olympic Games will take place in what city?
A) Vancouver, Canada
B) Milan, Italy
C) Salt Lake City, Utah, USA
B) Milan, Italy