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5.ATO.3 Solving 2 variable Expressions

Total questions: 8

Worksheet time: 24mins

Name
Class
Date
1.

An electronics store has 10 permanent employees who work all year. The store also hires some temporary employees to work during the busy holiday shopping season.

Let a represent the number of temporary employees and b represent the total number of employees during the holiday shopping season.

b= a+Δa+\Delta

(a)  

2.

A backpacking company requires each camper to bring a flashlight to go on a trip. The company supplies 4 extra in case any flashlights get lost or broken.

Let c represent the number of campers and f represent the total number of flashlights.

f=c+Δf=c+\Delta

(a)  

3.

Each box of candies has 4 fewer truffles than caramels.

Let c represent the number of caramels in a box and t represent the number of truffles in the same box.

t=cΔt=c-\Delta

(a)  

4.

At Jenny's restaurant and bakery, each cake is cut into 9 pieces.

Let c represent the number of cakes and p represent the total pieces of cake.

p=Δ×cp=\Delta\times c

(a)  

5.

A boy and a girl are playing a game where each of them tries to guess the number of a facedown card. The girl's strategy is to always guess a number that is 3 fewer than the boy's guess.

Let b represent the boy's guess and g represent the girl's guess.

g=bΔg=b-\Delta

(a)  

6.

Every day, an automobile factory assembles 9 more cars than trucks.

Let t represent the number of trucks assembled and c represent the number of cars assembled.

c=t+Δc=t+\Delta

(a)  

7.

To play in Austen's basketball league, a team must have exactly 8 players.

Let t represent the number of teams in the league and p represent the total number of players.

p=Δ ×tp=\Delta\ \times t

(a)  

8.

Krysta listens to 9 minutes of an audiobook every day during her commute to work.

Let d represent the number of days commuting to work and m represent the total number of minutes Krysta listens to the audiobook while commuting.

m=Δ × dm=\Delta\ \times\ d

(a)