Which of the following points is a solution to the system of inequalities?
Which of the following points is a solution to the system of inequalities?
Match each vocabulary word to its definition. (Relaciona cada palabra del vocabulario con su definición.)
| Draggable item | arrow_right_alt | Corresponding Item |
|---|---|---|
No Solution | arrow_right_alt | Consists of two or more linear equations that have the same variables. |
Substitution Method | arrow_right_alt | Any ordered pair that satisfies all the equations in a linear system. |
Elimination Method | arrow_right_alt | The lines of the two linear equations intersect at exactly one point. |
Solution of a Linear System | arrow_right_alt | The lines of the two linear equations do not intersect. |
One Solution | arrow_right_alt | The lines of the two linear equations intersect at every point |
Infinite Solutions | arrow_right_alt | Used to solve systems of equations by solving an equation for one variable and substituting the resulting expression into the other equation(s). |
System of Linear Equations | arrow_right_alt | Used to solve systems of equations in which one variable is eliminated by adding or subtracting two equations of the system. |
Which of the following points is a solution to the system of inequalities?
Directions: Write and graph a system of linear equations to solve the following scenario.
A gym membership at one gym costs $5 every month plus a one-time membership fee of $10. A gym membership at another gym costs $10 every month plus a one-time $5 membership fee. After how many months will the gym memberships cost the same amount.
Equation 1:
Equation 2:
The solution to this system of linear equations is
The length of a rectangular park is 28 feet more than its width. The perimeter of the park is 80 feet. Let L represent the length of the park and W represent the width in feet.
Directions: Write & solve the system of linear equations that can be used to determine the length (L) and width (W) of the park.
Solve using the SUBSTITUTION METHOD. VERIFY YOUR SOLUTION.
Equation 1:
Equation 2:
The length of the park is
The width of the park is
A coffee shop sells regular coffee for $3 per cup and specialty coffee for $4 per cup. On a busy morning, the coffee shop sold a total of 100 cups, generating $350 in revenue.
Directions: Write and solve a system of linear equations to determine the number of regular coffees (x) and specialty coffees (y) sold.
Solve using the ELIMINATION METHOD. VERIFY YOUR SOLUTION.
Equation 1:
Equation 2:
The number of regular coffees sold is
The number of specialty coffees sold is
Jamian bought a total of 50 bagels and donuts for a morning meeting. He paid a total
of $62.50. Each donut cost $0.75 and each bagel cost $3.25.
Write and solve a system of linear equations to determine the number of bagels and donuts Jamian brought to the morning meeting.
Use the method you think is best to solve the system. In the space below, EXPLAIN why you chose that method and the characteristics of the system that makes this method most appropriate.
Write and solve a system of linear equations to determine the ticket costs of the Rockin’ Rollercoaster and the Ferris Wheel. READ MY HINTS PLEASE- MR. NGUYEN
*HINT FOR ONLY PRACTICE TEST, YOU WILL NEED TO MULTIPLY SOMETHING ON TOP AND BOTTOM TO CANCEL OUT x or y*
*USE ELIMINATION*
*REMEMBER TO USE DOLLAR SIGNS,
THIS HINT WON'T BE ON ACTUAL TEST*
The tickets for the Rockin' Rollercoaster cost
How much have the ticket prices changed from last year to now?
*NOW COMPARE THE TWO ANSWERS YOU GOT FROM THE LAST QUESTION AND TELL ME THE DIFFERENCE IN $$$*
^this hint won't be on actual test
How many times can he ride the Rockin’ Rollercoaster?
USE THE ANSWER FROM THE FIRST PART TO FIGURE THIS ONE OUT
Will he have any money left over, and if so, how much?