Explain or show that the point (5,-4) is a solution to this system of equations:
Explain or show that the point (5,-4) is a solution to this system of equations:
Essential Question: How can you solve a system of equations algebraically?
Learning Target: Students will be able to use the elimination and substitution methods to solve a system of equations that represent real-world situations.
Complete the entire assignment and show work for full credit.
Here are two equations:
Equation 1: 5x-2y=15
Equation 2: 6x+4y=34
Is (3,4) a solution to this system of equations? Use complete sentences and support your response with math.
Explain or show that the point (5,-4) is a solution to this system of equations:
Volunteer drivers are needed to bring 80 students to the championship baseball game. Drivers either have cars, which can seat 4 students, or vans, which can seat 6 students.
The equation 4c + 6v = 80 describes the relationship between the number of cars c and number of vans v that can transport exactly 80 students.
Explain how you know that this graph represents this equation.
Below is word problem. Which highlighted words or phrases could be variables?
Below is word problem. Which highlighted word or phrase means "multiply by 3"?
Below is word problem. Which highlighted word or phrase means "multiply by 2"?
Below is word problem. Which highlighted word or phrase means "addition"?
Below is word problem. Which highlighted word or phrase means "equal to"?
Diego is thinking of two positive whole numbers. He says, “If we triple the first number and double the second number, the sum is 34.”
Write an equation that represents Diego's description.
Diego is thinking of two positive whole numbers. He says, “If we triple the first number and double the second number, the sum is 34.”
Diego then says, “If we take half of the first number and double the second, the sum is 14.”
Write an equation that could represent his second equation.
Below is word problem. Which highlighted words or phrases are the variables of this real world problem?
Below is word problem. Which highlighted word or phrase means "multiply by 5"?
Below is word problem. Which highlighted word or phrase means "multiply by 8"?
Below is word problem. Which highlighted word or phrase means "addition" and "equal to" at the same time?
The knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.
If s represents the number of scarves sold and h represents the number of hats sold, which system of equations represents the constraints in this situation?