Defining Variables in Word Problems Systems
Authored by Barbara White
Mathematics
9th - 11th Grade
CCSS covered
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10 questions
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1.
MULTIPLE SELECT QUESTION
2 mins • 1 pt
Elijah is working two summer jobs, making $6 per hour walking dogs and $14 per hour tutoring. Last week Elijah worked a total of 7 hours and earned a total of $66.
Define the variables that you use to write the system. Choose two answers.
let t = the number of hours turtoring
let w = the number of hours walking dogs
let t = the rate for each hour tutoring
let w = the rate for each hour walking dogs
Tags
CCSS.8.EE.C.8C
2.
MULTIPLE SELECT QUESTION
2 mins • 1 pt
Elijah is working two summer jobs, making $6 per hour walking dogs and $14 per hour tutoring. Last week Elijah worked a total of 7 hours and earned a total of $66.
Write a system of equations that could be used to determine the number of hours Elijah worked walking dogs last week and the number of hours he worked tutoring last week. Choose two equations.
w + t = 7
6w + 14t = 66
w + t = 66
6w + t = 7
Tags
CCSS.8.EE.C.8C
3.
MULTIPLE SELECT QUESTION
2 mins • 1 pt
Anthony is raising money for a school trip by selling candy bars and bags of chips. The price of each candy bar is $1.75 and the price of each bag of chips is $2. Yesterday Anthony made $59.25 and sold 6 more candy bars than bags of chips.
Define the variables that you use to write the system.
Choose two answers.
let x = the number of candy bars sold
let y = the number of bags of chips sold
let x = the cost of a candy bar
let y = the cost of a bag of chips
Tags
CCSS.8.EE.C.8C
4.
MULTIPLE SELECT QUESTION
2 mins • 1 pt
Anthony is raising money for a school trip by selling candy bars and bags of chips. The price of each candy bar is $1.75 and the price of each bag of chips is $2. Yesterday Anthony made $59.25 and sold 6 more candy bars than bags of chips.
Write a system of equations that could be used to determine the number of candy bars sold and the number of bags of chips sold.
Choose two equations.
1.75x + 2y = 59.25
x = y + 6
x + y = 6
1.75x + 6y = 59.25
Tags
CCSS.HSA.CED.A.3
5.
MULTIPLE SELECT QUESTION
2 mins • 1 pt
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1300. The law firm assigned 2 more associates than partners to the case and was able to charge the client $16400 per day for these lawyers' services.
Define the variables that you use to write the system. Choose two answers.
let a = the number of associates
let p = the number of partners
let a = the daily rate for an associate
let p = the daily rate for a partner
Tags
CCSS.8.EE.C.8C
6.
MULTIPLE SELECT QUESTION
2 mins • 1 pt
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1300. The law firm assigned 2 more associates than partners to the case and was able to charge the client $16400 per day for these lawyers' services.
Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Choose two equations.
600a + 1300p = 16400
a = p + 2
a + p = 16400
600a +1300p = 2a + p
Tags
CCSS.HSA.CED.A.3
7.
MULTIPLE SELECT QUESTION
2 mins • 1 pt
A bag contains green marbles and blue marbles, 26 in total. The number of green marbles is 1 more than 4 times the number of blue marbles.
Define the variables. Choose two answers.
let g = the number of green marbles
let b = the number of blue marbles
let g = marbles
let b = bag
Tags
CCSS.8.EE.C.8C
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