Lesson 19 Formulating a System of Equations

Quiz
•
Mathematics
•
9th - 12th Grade
•
Medium
+3
Standards-aligned
Anastasia Avila
Used 35+ times
FREE Resource
15 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?
x + y = 1550
y = 4x
x + y = 1550
y = x + 4
y - x = 1550
y = 4x
y = 1550 + x
y = x + 4
Tags
CCSS.8.EE.C.8C
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
2x + 4y = 450
2x + 4y = 315
3x + 4y = 450
Tags
CCSS.8.EE.C.8C
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
The sum of three numbers is 35. The product of the first number times the third number is 87. The quotient of the third number divided by the first number is 1.5. Which of the following systems of equations can be used to determine the three numbers?
x+y+z=35
xz=87
x-1.5z=0
x+y+z=35
xz=87
-1.5x+z=0
x+y+z=35
xz=87
x/z=1.5
x+y+z=35
xz=87
1.5/x=z
Tags
CCSS.HSA.CED.A.3
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Simone has discovered a blow-out sale in the mall. The cost of 1 sweater, 3 shirts, and 2 pairs of pants is $100. The cost of 3 sweaters and 6 pairs of pants is $201. The cost of 8 shirts and 2 pairs of pants is $144. If x is the number of sweaters, y is the number of shirts, and z is the number of pants, which system of equations can be used to determine the sale price of the sweaters, shirts, and pants?
x+3y+2z=100
3x+6z=201
8y+2z=144
x+3y+2z=100
3x+y+6z=201
x+8y+2z=144
x+y+z=172
x+z=269
y+z=74
x+3y+2z=100
3x-6z=201
8y-2z=144
Tags
CCSS.HSA.CED.A.3
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Choose the correct equations for the scenario.
A parking lot has spaces reserved for motorcycles, cars, and vans. There are five more spaces reserved for vans than for motorcycles. There are three times as many car spaces as van and motorcycle spaces combined. If the parking lot has 180 total reserved spaces, how many of each type are there?
Tags
CCSS.HSA.CED.A.1
CCSS.HSA.CED.A.2
CCSS.HSA.CED.A.3
CCSS.HSA.REI.C.6
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Choose the correct variables for the scenario.
A theater has tickets at $6 for adults, $3.50 for students, and $2.50 for children under 12 years old. A total of 278 tickets were sold for one showing with a total revenue of $1300. If the number of adult tickets sold was 10 less than twice the number of student tickets, how many of each type of ticket were sold for the showing?
a = number of adult tickets
s = number of student tickets
c = number of children tickets
a = cost of 6 adult tickets
s = cost of 3.5 student tickets
c = cost of 2.5 children tickets
a = cost of 1 adult tickets
s = cost of 1 student tickets
c = cost of 1 children tickets
Tags
CCSS.HSA.CED.A.2
CCSS.HSA.CED.A.3
CCSS.HSA.REI.C.6
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Choose the correct equations for the scenario.
A theater has tickets at $6 for adults, $3.50 for students, and $2.50 for children under 12 years old. A total of 278 tickets were sold for one showing with a total revenue of $1300. If the number of adult tickets sold was 10 less than twice the number of student tickets, how many of each type of ticket were sold for the showing?
Tags
CCSS.HSA.CED.A.2
CCSS.HSA.CED.A.3
CCSS.HSA.REI.C.6
CCSS.HSA.SSE.A.1
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