Determine if the point (5,-4) is a solution to this system of equations:
Explain how you determined if (5,-4) is a solution. Use complete sentences and support your response with math.
Essential Question:
What was the Essential Question of this assignment?
(Use complete sentences for full credit)
Learning Outcomes
What is the first thing you should do to make solving word problems easier?
(Use complete sentences for full credit)
1 Question I have.
1 question I have is...
(Must be a question)
OR
What was the hardest part of the assignment?
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.
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?
Diego is thinking of two positive whole numbers. He says, “If we
Below is word problem. Which highlighted word or phrase means "multiply by 3"?
Diego is thinking of two positive whole numbers. He says, “If we
Below is word problem. Which highlighted word or phrase means "multiply by 2"?
Diego is thinking of two positive whole numbers. He says, “If we
Below is word problem. Which highlighted word or phrase means "addition"?
Diego is thinking of two positive whole numbers. He says, “If we
Below is word problem. Which highlighted word or phrase means "equal to"?
Diego is thinking of two positive whole numbers. He says, “If we
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.”
Find two possible pairs of numbers Diego could be thinking of. (There are several possibilities.)
1st Pair of numbers (# and #):
2nd Pair of numbers (# and #):
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.
Diego is thinking of two positive 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.”
What are Diego’s two numbers? (Use all the work you already did in the previous questions to answer this question.)
1st Number
2nd Number
Below is word problem. Which highlighted words or phrases are the variables of this real world problem?
A school is selling tickets for a play.
Below is word problem. Which highlighted word or phrase means "multiply by 5"?
A school is selling tickets for a play.
Below is word problem. Which highlighted word or phrase means "multiply by 8"?
A school is selling tickets for a play.
Below is word problem. Which highlighted word or phrase means "addition" and "equal to" at the same time?
A school is selling tickets for a play.
Write an equation to show how much money the school made in ticket sales.
Write an equation to show how many tickets the school sold.
Solve each word problem using substitution or elimination. (Use all the work you already did in the previous questions to answer this question.)
Number of student tickets
Number of adult tickets
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?
Solve each word problem using substitution or elimination.
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?
Number of Scarves
Number of Hats