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+3y+2z=100 3x-6z=201 8y-2z=144

Choose the correct variables. 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?

m =how many spaces for motorcycles c = how many spaces for cars v = how many spaces for van

m = Cost of 1 motorcycle c = Cost of 1 car v = Cost of 1 van

m =number of motorcycles c = number of cars v = number of van

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

Choose the correct variables for the scenario. Sarah buys 1 lb. of jelly beans and 2 lb. of chocolates for $2.00. She then buys 1 lb. of jelly beans and 2 lb. of licorice for $3.00. She also buys 2lb. of chocolates and 2 lb. of licorice for $2.00. How much will it cost to buy 1lb. of each of the three candies?

j = cost per 1 lb. of jellybeans c = cost per 1 lb. of chocolates l =cost per 1 lb. of licorice

j = number of jellybeans c = number of chocolates l =number of licorice

j = cost of 1 jellybean c = cost of 1 chocolate l =cost of 1 licorice

Create System of Equations

Quiz

•

Mathematics

•

10th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSA.CED.A.3, 8.EE.C.8B, 8.EE.C.8C

+4

Standards-aligned

Barbara White

FREE Resource

20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A system of equations is a set of _________ or more equations.

0

1

2

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A ________ is often used to represent an unknown value in an equation.

variable

number

letter

solution

Tags

CCSS.6.EE.B.6

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A system of equations always has the same _ and _.

equations and variables

equations and solutions

letters and numbers

variables and solutions

Tags

CCSS.8.EE.C.8B

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

letters

variables

numbers

solutions

Tags

CCSS.6.EE.A.2B

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A __________ is a value that makes all equations in a system true.

solution

number

variable

letter

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

a = -8

a = 29

a = 2

a = 6

7.

MULTIPLE CHOICE QUESTION

5 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

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Create System of Equations

20 questions

A system of equations is a set of _________ or more equations.

A ________ is often used to represent an unknown value in an equation.

A system of equations always has the same _ and _.

A __________ is a value that makes all equations in a system true.

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?

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels?

The perimeter of rectangular box is 18 inches and the width is five inches less than the length. If W=width of the box and L=length of the box, which system of equations matches the situation?

Erica has $14 and plans to save $5 each week until she has the $64 she needs for a new jacket. How many weeks will it take Erica to save money for a new jacket? Use w as the number of weeks.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Create System of Equations

20 questions

A system of equations is a set of _________ or more equations.

A ________ is often used to represent an unknown value in an equation.

A system of equations always has the same ___________ and ___________.

A __________ is a value that makes all equations in a system true.

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?

Dennis mowed his next door neighbor’s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. Which system of equations could be used to find the exact number of dimes and nickels?

The perimeter of rectangular box is 18 inches and the width is five inches less than the length. If W=width of the box and L=length of the box, which system of equations matches the situation?

Erica has $14 and plans to save $5 each week until she has the $64 she needs for a new jacket. How many weeks will it take Erica to save money for a new jacket? Use w as the number of weeks.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

A system of equations always has the same _ and _.