Algebra II

Hong Kong

Stage 1 - Stage 3

A park has a walking track in the shape of an irregular quadrilateral. The four side lengths of the track are $8a$8`a` m, $6b$6`b` m, $2a$2`a` m, and $3b$3`b` m.

a

Write an expression for the length of one complete lap around the track.

b

What is the length of one lap around the track if $a=15$`a`=15 and $b=5$`b`=5?

Easy

2min

A $23$23cm wire is cut into $2$2 pieces such that the length of the smaller piece is $4$4 cm. The longer piece is then bent to form a rectangle of width $3$3 cm.

Easy

2min

A triangle has side lengths of $9x+3$9`x`+3 cm, $10x-3y$10`x`−3`y` cm, and $12-4y$12−4`y` cm.

Easy

3min

Each week, Aaron earns $\$m$$`m` more than Paul.

Each week, Uther earns $\$u$$`u` more than Aaron.

If Paul earns $\$440$$440 per week, how much does Uther earn per week?

Easy

1min

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