1 P6.AG.JC.17080472
Level 3
One pencil costs $x. One pen costs $(x + 20). One ruler costs $4x.
  1. Vince bought 2 pencils, 3 pens and 1 ruler. How much did he spend? Simplify your answer in terms of x.
  2. If x = 20, how much did Vince spend altogether?
4 m
Algebra in 1 variable Algebra simplifying Algebra substitution Money
2 P6.AG.JC.17080471
Level 3
The perimeter of triangle A is equal to that of rectangle B.
  1. Find the length of rectangle B in terms of k.
  2. If k = 3, find the area of rectangle B.
4 m
Algebra in 1 variable Algebra simplifying Algebra substitution Length Area Perimeter Triangle Equal stage
3 P6.AG.JC.17080470
Level 3
The figure shows 2 rectangles. The length of the bigger rectangle is (6m + 8) cm and the breadth is half its length. Find the perimeter of the smaller rectangle.
4 m
Algebra in 1 variable Algebra simplifying Algebra substitution Length Area Perimeter Rectangle
4 P6.AG.JC.17080469
Level 3
A rectangle has a length of 6p cm and a breadth of 4q cm. Find
  1. its area in terms of p and q,
  2. its perimeter in terms of p and q,
  3. the area of the rectangle if p = 2 and q = 3.
4 m
Algebra in more than 1 variable Algebra simplifying Algebra substitution Length Area Perimeter Rectangle
5 P6.AG.JC.17080467
Level 3
Ali is b years old. Bill is four times as old as Ali and Calvin is 6 years younger than Bill.
  1. Express Calvin's age in terms of b.
  2. Ali is 10 years old as of now. ln how many years' time will Calvin be 3 times as old as Ali?
4 m
Algebra in 1 variable Algebra simplifying More than or less than Times as many Units method

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