Cartesian product math worksheet for prep 3

Algebra: Cartesian Product & Relations

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Choose the correct answer from those given:

• 1. If $(x+5,8)=(1,6y+x)$, then $x+y=$ ..............
  (a) 8(b) -2(c) -4(d) 6
• 2. If $n\left(X^2\right)=9$ and $n\left(X\times Y\right)=15$, then $n\left(Y\right)=$ ..............
  (a) 3(b) 5(c) 15(d) 24
• 3. If $X\times Y=\left\{\right(3,2\left)\right\}$, then $Y^2=$ ..............
  (a) 1(b) $\left\{\right(2,2\left)\right\}$(c) $(2,2)$(d) 4
• 4. If $(2^x,27)=(32,y^3)$, then $\frac{x}{y}=$ ..............
  (a) $\frac{3}{5}$(b) $\frac{5}{3}$(c) $\frac{32}{27}$(d) $\frac{27}{32}$
• 5. If the point $(x-3,2-x)$ lies in the fourth quadrant, then $X=$ ..............
  (a) 4(b) 3(c) 2(d) 1
• 6. If the point $(k-2,3k-2)$ is at a distance of 4 length units from the X-axis, then $k=$ ..............
  (a) 0(b) 1(c) 2(d) 3

If $X=\left\{2\right\}$ and $Y=\{3,4,5\}$, find:

• 1. $X\times Y$
• 2. $n\left(Y^2\right)$
• 3. $X^2$

Solve the following equation:

• If $(x-1,29)=(4,y^3+2)$, then find the value of: $x+2y$

Lesson Explanation

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