Starts with S
More than one equation to be solved at the same time is known as this.
What is System of Equations?
The y-intercept and slope of each line
y = x + 4
y = 2x + 5
Y-intercepts : (0,4) and (0,5)
Slopes : 1 and 2
Describe how you know which variable to eliminate after you line up the equations.
8x + 5y = 9
2x - 5y = -4
What is the variable that has the same coefficient and opposite sign?
The solution to the system of equations:
x = 4y
2x + 3y = 22
What is (8, 2)?
State the variables and what they represent.
Maria has a total of $1.35 in dimes and quarters. How many of each coin does she have?
D = # of dimes
Q = # of quarters
The ratio of rise to run
What is slope?
The solution to the system of equations:
y = 3x - 2
y = -x - 2
What is (0, -2)?
The solution to the system of equations:
x + y = -6
x - y = -10
What is (-8, 2)?
The solution to the system of equations:
y = x - 2
-3x + y = -16
What is (7, 5)?
SET UP the system of equations. Do not solve.
Raphael bought 3 donuts and an energy drink from the bake sale for a total of $6.50. Gracie bought 2 donuts and 2 energy drinks from the bake sale for a total of $7.00. How much does each item cost?
3D + 1E = 6.5
2D + 2E = 7
The answer to an equation or system of equations.
What is Solution?
The solution to the system of equations:
y = 3x + 3
y = 3x - 2
What is no solution?
The solution to the system of equations:
8x + 5y = 9
2x - 5y = -4
What is (0.5, 1)?
The solution to the system of equations:
y = 3x - 1
7x + 2y = 37
What is (3, 8)?
Set-up the system. Write the equations.
Alicia owns a fruit stand where she sells kiwis and mangoes. On Saturday, Alicia sold 20 kiwis and 4 mangoes for a total of $58. On Sunday, she sold 10 kiwis and 1 mango for a total of $27. How much does each fruit cost?
20K + 4M = 58
10K + M = 27
y = mx + b is more formally known as this.
What is Slope-Intercept Form?
The solution to the system of equations:
y = (1/3)x - 3
-2x + y = -8
What is (3, -2)?
The solution to the system of equations:
2x + 3y = 6
3x + 5y = 15
What is (-15, 12)?
The solution to the system of equations:
3x - 2y = 4
y = 2x - 1
What is (-2, -5)?
SET UP the system of equations. Do not solve.
Harvey has ONLY $1 bills and $5 bills. In total, Harvey has 6 bills worth $22. How many of each bill does he have?
X + Y = 6
X + 5Y = 22
The form of a linear equation in which the variables are on the same side of the equals sign.
What is Standard?
The solution to the system of equations:
y = -3
x = 5
What is (5, -3)?
The solution to the system of equations:
2x - 4y = 12
-8x + 16y = -48
What is infinite solutions?
The solution to the system of equations:
x + y = 12
-3x + y = 0
What is (3, 9)?
SOLVE the system.
Daniel owns a daycare for toddlers and kids. When 6 toddlers and 9 kids spend the morning in daycare, Daniel makes $345. When 4 toddlers and 7 kids spend the morning in daycare, he makes $245. How much does it cost for each toddler and kid to spend the morning in daycare?
It costs $35 for a toddler and $15 for a kid.