Systems of Equations Introduction
Authored by Anthony Clark
Mathematics
8th Grade
CCSS covered
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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Larry and his sister, Betty, are saving money to buy their own laptop computers. Larry has $215 and can save $35 each week. Betty has $380 and can save $20 each week. When will Larry and Betty have the same amount of money? Give the equations and the point of intersection.
Larry: y = 25x + 215 ; Betty: y = 10x + 380 . The solution is (26, 300). They will both have $300 in 26 weeks.
Larry: y = 35x + 215 ; Betty: y = 20x + 380 . The solution is (11, 600). They will both have $600 in 11 weeks.
Larry: y = 15x + 615 ; Betty: y = 65x + 80 . The solution is (10, 1500). They will both have $1500 in 10 weeks.
Tags
CCSS.8.EE.C.8C
2.
MULTIPLE CHOICE QUESTION
1 min • 12 pts
Solve for x and y
3x + 2y = 16
7x + y = 19
(-2,5)
(-2,-5)
(2,-5)
(2,5)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3
(0,3)
(3,0)
No solution(parallel lines)
Infinitely many solutions
Tags
CCSS.8.EE.C.8B
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve for x and y.
y = 2/3x - 2
y = -x + 3
(0,3)
(0,-3)
(3,0)
(-3,0)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the value of the y-coordinate of the solution to the system of equations
x-2y=1
x+4y=7
1
-1
3
4
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the following system by setting the two equations equal to each other. What is the solution?
HINT: - 1/3x + 4 = 2/3x + 1 and then solve for x. Once you find x go back and find y.
Infinite number of solutions
(3, 3)
(3, -3)
(-3, 3)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve:
3x + 2y = 16
7x + y = 19
(-2,5)
(-2,-5)
(2,-5)
(2,5)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
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