SIWS Problem 1.3

​Say It With Symbols: Problem 1.3

Interpreting Expressions

Multiple Select

The exact dimensions of the pool are not available, but the area A of the whole pool is given by the equation $$A=x^2+\frac{\pi x^2}{2}+8x^2+\frac{\pi x^2}{4}$$ .

Which part(s) of the expression for the area of the pool represents the area of the indoor part?

• $$x^2$$

• $$\frac{\pi x^2}{2}$$

• $$8x^2$$

• $$\frac{\pi x^2}{4}$$

Multiple Select

The exact dimensions of the pool are not available, but the area A of the whole pool is given by the equation $$A=x^2+\frac{\pi x^2}{2}+8x^2+\frac{\pi x^2}{4}$$ .

Which part(s) of the expression for the area of the pool represents the area of the outdoor part?

• $$x^2$$

• $$\frac{\pi x^2}{2}$$

• $$8x^2$$

• $$\frac{\pi x^2}{4}$$

Multiple Choice

Part of the area of the outdoor part of the pool is given by the expression $$\frac{\pi x^2}{4}$$ . For what shape(s) might the expression represent the area?

• a circle with radius x

• a semicircle with radius x

• a quarter circle with radius x

• a three-quarter circle with radius x

Multiple Select

Part of the area of the outdoor part of the pool is given by the expression $$x^2$$ . For what shape(s) might the expression represent the area?

• a square with side length x

• a rectangle with side lengths of x and 2x

• a rectangle with side lengths of $$\frac{1}{2}x$$ and 2x

• a square with side length $$\frac{1}{2}x$$

Multiple Select

This is a diagram of Otter Middle School's outdoor track. The shape of the interior region (shaded green) is a rectangle with a half-circle at the end. Which two expressions combine to give you the area of the interior region?

• $$\frac{\pi x^2}{2}$$

• $$\pi x^2$$

• $$12x$$

• $$8x^2$$

Multiple Choice

This is a diagram of Otter Middle School's outdoor track. The shape of the interior region (shaded green) is a rectangle with a half-circle at the end. Which expression gives the perimeter of the interior region? ( $$C=\pi d$$ )

• $$8x+2\pi x$$

• $$8x+4\pi x$$

• $$4x+2\pi x$$

• $$4x+4\pi x$$