Systems of Linear Equations Mixed
Authored by Anthony Clark
Mathematics
9th Grade
CCSS covered
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14 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Sam has a total of 17 bikes, unicycles, and skateboards. A bike has 2 wheels, a skateboard has 4 wheels, a unicycle has one wheel and she has a total of 42 wheels. There are just as many bikes as unicycles and skateboards together. Which system models this scenario?
B + U + S = 42
2B + U + 4S = 17
B = U + S
B + U + S = 17
2B + U + 4S = 42
B = U + S
B + U + S = 17
2B + U + 4S = 42
B = U*S
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?
10c + 5d = 14.25
5c + 10d = 16.50
10c + 5d = 16.50
5c + 10d = 14.25
c + d = 10
5c + 10d = 16.50
c + d = 5
5c + 10d = 16.50
Tags
CCSS.8.EE.C.8C
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Josh is thinking of two numbers. Their sum is -10 and their difference is -2. Which system of equations represents the situation?
x - y = -10 x + y = -2
x = -2 y = 5
x + y = -2 x - y = -10
x + y = -10 x - y = -2
Tags
CCSS.HSA.CED.A.3
4.
MULTIPLE CHOICE QUESTION
1 min • 4 pts
Solve the system of equations:
( 4, 0, -2)
( -4, -2, 0)
None of these
( -4, 0, -2)
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve the following system by graphing. What is the solution? (Graph on your scratch paper!)
(3, -1)
(-1, -3)
(-1, -1)
(-1, 3)
Tags
CCSS.8.EE.C.8B
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve using SUBSTITUTION: (Show your work on scratch paper!)
y = -1x - 5
4x - 8y = 4
(-3, -2)
(5, -7)
(3, 9)
(-5, 4)
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve using ELIMINATION. (Show your work on scratch paper!)
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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