Solve Systems by Graphing
Solving Systems Using Substitution and Elimination
Applications
100
What is a system of linear equations?
What is two or more linear equations together.
100
Solve: y=x+1 y=2x-1
What is (2,3)
100
Without solving, what method would you choose to solve the system? graphing, substitution, or elimination? Explain. y=3x-1 y=4x
What is graphing because it is in slope intercept form.
200
Solve by graphing : y=2x-3 y=x-1
What is (2,1)
200
Solve and check: m=5p+8 m=-10p+3
What is (-1/3, 19/3)
200
Several students decide to start a T-shirt company. After initial expenses of $280, they purchase each T-shirt whole sale for $3.99. They sell each T-shirt for $10.99. How many must they sell to breakeven?
What is 40 T-shirts.
300
Tell wether (-1,5) is a solution for the system. Explain. x+y=4 x=-1
What is yes, because it solves for both equations.
300
Explain the substitution method.
What is to replace one variable with an equivalent expression containing the other variable, creating a one variable equation that you can solve with simple algebra.
400
In order to have no solution, what type of lines must you have?
What is parallel lines.
400
The length of a rectangle is 5 cm more than twice the width. The perimeter of the rectangle is 34 cm. Find the dimensions of the rectangle.
What is w=4 l=13
500
You have $20 in your bank account, and save $5 each week. Your mamma has $5 in her bank account, and saves $10 each week. Neither you or your mamma withdraw any money. In how many weeks will you and yoooo mamma have the same amount of money? And how much will you and yooo mamma have?
What is 3 weeks and 35 dolla's.
500
There are 1170 students in a school. The ratio of girls to boys is 23 : 22. The system below describes relationships between the number of girls and the number of boys. g+b=1170 g/b=23/22 A. Solve the proportion for g. B. Solve the systems. C. How many more girls are there than boys?
What is A. g=23/22b B. b=572 g=598 C. 26
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