1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -3\left(3B + 6f\right) $$ Correct Answer $$ -9B - 18f $$ 2. Expand the brackets to simplify the following:$$ 4\left(3P + -3f\right) $$ Correct Answer $$ 12P - 12f $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(6B + 5y\right)}^{2} $$ Correct Answer $$ 36{B}^{2} + 60By + 25{y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-5B + (-Y)\right)}^{2} $$ Correct Answer $$ 25{B}^{2} + 10BY + {Y}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 2c + (-Y) + 2m + -2Y $$ Correct Answer $$ 2c + -3Y + 2m $$ 2. Collect like terms to simplify the following:$$ (-a) + -5Y + 4l + -5Y $$ Correct Answer $$ (-a) + -10Y + 4l $$

4.

Adding fractions 1. Simplify the following:$$ \frac{5x + 6}{-6x + 6} + \frac{3x + 2}{(-x) + 1} $$ Correct Answer $$ \frac{-23{x}^{2} + 5x + 18}{6{x}^{2} - 12x + 6} $$ 2. Simplify the following:$$ \frac{2x + -6}{2x + 5} + \frac{-5x + 6}{3x + 3} $$ Correct Answer $$ \frac{-4{x}^{2} + -25x + 12}{6{x}^{2} + 21x + 15} $$

5.

Evaluate the following equations. 1. Find B to 3 significant figures in the following equation: $$ B = \sin\left(\cos\left(y\right)\right)\sin\left(xz\right),$$ Given that x = -5.0, y = 5.0, z = 3.0 Correct Answer -0.182 2. Find B to 3 significant figures in the following equation: $$ B = \exp\left(y\right)\sin\left(x\right) - \exp\left(z + y\right),$$ Given that x = 3.0, y = 3.0, z = 1.0 Correct Answer -51.8

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $${6}^{\sqrt{x}} + \exp\left(z - y\right) = \frac{(-my)}{6\cos\left({2}^{x}\right)},$$ Correct Answer $$m = \frac{\frac{\left({6}^{\sqrt{x}} + \exp\left(z - y\right)\right)6\cos\left({2}^{x}\right)}{-1}}{y}$$ 2. Rearrange the following equation to get an expression for m: $$\sqrt{x}y\left(\frac{4}{x} + z\right) = mz - \sin\left(y\right) + \cos\left(y\right) - \exp\left(x\right),$$ Correct Answer $$m = \frac{\sqrt{x}y\left(\frac{4}{x} + z\right) - \left(\cos\left(y\right) - \exp\left(x\right)\right) + \sin\left(y\right)}{z}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$-2{x}^{2} + -4x = 1$$ Correct Answer $$\frac{(-\left(4 + \sqrt{8}\right))}{4}$$ and $$\frac{(-\left(4 - \sqrt{8}\right))}{4}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 6\left(3x + 6h\right) $$ Correct Answer $$ 18x + 36h $$ 2. Expand the brackets to simplify the following:$$ (-\left(-4X + 1b\right)) $$ Correct Answer $$ 4X - b $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-2g + 1f\right)}^{2} $$ Correct Answer $$ 4{g}^{2} - 4gf + {f}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-3x + 6b\right)}^{2} $$ Correct Answer $$ 9{x}^{2} - 36xb + 36{b}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 3c + 1j + 6l + (-j) $$ Correct Answer $$ 3c + 6l $$ 2. Collect like terms to simplify the following:$$ 3X + 6Y + -3z + (-Y) $$ Correct Answer $$ 3X + 5Y - 3z $$