Solve by Graphing
Solve by Substitution
Solve by Elimination
Writing Systems
Vocab
100
MYSTERY QUESTION** DOUBLE POINTS
WHAT IS Ms. Fouchie's FAVORITE COLOR?
Green
100
Solve the systems of equations using substitution:
–3x − 6y = –9
x = 7
(7,-2)
100
Solve the systems of equations using Elimination:
-3x - 24y = -66
3x + 4y = -14
(-10, 4)
100
Yareli and Rosa won a total of 125 tickets at an arcade. The number of tickets that Rosa won was 11 more than half the number of tickets Yareli won. Write a system of equations that could be used to represent the situation if x is the number of tickets Yareli won and y is the number of tickets Rosa won.
x + y = 125
y = 1/2x + 11
100
A set of two or more equations with the same variables that are solved together to find a common solution is called...
System of Equations
200
What is the solution?
(-1,1)
200
Solve the systems of equations using substitution:
-3x + 4y = -2
y = -5
(-6, -5)
200
Solve the systems of equations using Elimination:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
200
At an amusement park, the cost for an adult admission is x, and for a child the cost is y. For a group of six that included two children, the cost was $325.94. For a group of five that included three children, the cost was $256.95. All ticket prices include tax. Write a system of equations that models this situation.
2y + 4x = 325.94
3y + 2x = 256.95
200
A letter that represents an unknown value is a ...
Variable
300
How many solutions are there?
No Solutions
300
Solve the systems of equations using substitution:
x = –1
x − 2y = –15
(-1, 7)
300
Solve the systems of equations using Elimination:
-3x - 5y = 2
3x + 5y = 7
No Solution
300
An ice cream shop sells small and large sundaes. One day, 30 small sundaes and 50 large sundaes were sold for $420. Another day, 15 small sundaes and 35 large sundaes were sold for $270. Sales tax is included in all prices. If x is the cost of a small sundae and y is the cost of a large sundae, write a system of equations to represent this situation.
30x + 50y = 420
15x + 35y = 270
300
A number by itself (no variable) is called the...
Constant
400
State the solution to the system below
(-3, -3)
400
Solve the systems of equations using substitution:
y = 2x - 3
y = 3x - 5
(2, 1)
400
Solve the systems of equations using Elimination:
x - y = 11
2x +y = 19
(10, -1)
400
Dana went shopping for plants to put in her garden. She bought three roses and two daisies for $31.88. Later that day, she went back and bought two roses and one daisy for $18.92. If x represents the cost of one rose and y represents the cost of one daisy, write a system of equations that models this situation.
3x + 2y = 31.88
2x + y = 18.92
400
The process of replacing a variable or an expression with an equivalent value or expression to simplify, solve, or evaluate an equation, formula, or inequality is called...
Substitution
500
State the solution to the following system:
(-4, -3)
500
Solve by substitution:
2x - 3y = -1
y = x - 1
(4, 3)
500
Solve the systems of equations using Elimination:
-4x + 9y = 9
x - 3y = -6
(9, 5)
500
Isaiah joined the Fan Favorite Movie Club at the local movie theater. In May, he saw 2 matinees and 3 regular priced movies for a total of $38.50. In June, he saw 6 matinees and one regular priced movie for a total of $47.50. If x represents the cost of a matinee and y represents a regular priced movie, write a system of equations that can be used to model this situation.
2x + 3y = 38.50
6x + 1y = 47.50
500
A number multiplied by a variable is the...
Coefficient