L4 ­ Modelling Systems_partial2018

Warm­Up:  complete 1cd, 2c, 5c (use graph paper)

L4 ­ Modelling Systems_partial2018

L4 ­ Modelling Systems_partial2018

L4 - Modeling Linear Systems

To translate word problems into algebraic expressions/equations: define unknown quantities (variables) with a let statement

Key Words:

of

times

is

reduced by

more than

twice plus

half less than

increased by

sum

difference

identify the "key" words which translate into algebraic symbols

more than

Subtract less than reduced by difference

plus sum

Divide half

Add

increased by

Multiply twice of times Equals

is

L4 ­ Modelling Systems_partial2018

Ex 1)

a)

Translate the following sentences into algebraic expressions (Let 'n' represent the number):

seven less than twice a number

2n-7

b) twenty percent of a number

0.2n

c)

1 n+4 2

four more than half a number

L4 ­ Modelling Systems_partial2018

Ex 2)

When you have two unknown values, two equations are required to determine a specific solution. Define variables and create two equations for each. DO NOT SOLVE!

a)

b)

The sum of two numbers is 56. Four times the smaller number reduced by the larger number is 10. Determine the numbers.

The number of $20 bills is five more than three times the number of loonies. If there is $344 in total, how many loonies are there?

L4 ­ Modelling Systems_partial2018

L4 - Modeling Linear Systems

1)

Define variables and create equations for each of the following situations. DO NOT SOLVE!!!!

The school athletic council sold 835 tickets to the championship field hockey game for a total of $5792. Students pay $4 and non-students pay $8. The council wants to know how many students & non-students attended the game.

VARIABLES

Ex3)

Let x represent the number of student tickets sold and y represent the number of non-student tickets sold.

L4 - Modelling Systems_partial2018

The school athletic council sold 835 tickets to the championship field hockey game for a total of $5792. Students pay $4 and non-students pay $8. The council ...

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