Equations

The sum of two integers is $70$70.

a

If one of the integers is $29$29, what is the other integer?

b

Let one of the integers be $x$`x`. Write an expression for the other integer.

c

Hence write an expression for the product $y$`y` of the two integers. Give your answer in expanded form.

d

When $x=35$`x`=35, what is the product of the two integers?

e

When $x=35$`x`=35, does this result in the largest possible product?

Yes

A

No

B

Yes

A

No

B

Easy

Approx 3 minutes

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Form and use linear, quadratic, and simple trigonometric equations

Apply graphical methods in solving problems

Apply algebraic methods in solving problems