1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -5\left(1B + 1y\right) $$ Correct Answer $$ -5B - 5y $$ 2. Expand the brackets to simplify the following:$$ -3\left(3X + -6d\right) $$ Correct Answer $$ -9X + 18d $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left((-x) + 1y\right)}^{2} $$ Correct Answer $$ {x}^{2} - 2xy + {y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-2P + -2Y\right)}^{2} $$ Correct Answer $$ 4{P}^{2} + 8PY + 4{Y}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 3g + -6Q + 4z + -4Q $$ Correct Answer $$ 3g + -10Q + 4z $$ 2. Collect like terms to simplify the following:$$ -6R + -2d + 2v + 1d $$ Correct Answer $$ -6R + (-d) + 2v $$

4.

Adding fractions 1. Simplify the following:$$ \frac{6x + 3}{-4x + -5} + \frac{3x + 3}{2x + -2} $$ Correct Answer $$ \frac{-33x - 21}{-8{x}^{2} - 2x + 10} $$ 2. Simplify the following:$$ \frac{5x + 3}{6x + -4} + \frac{5x + 3}{2x + -5} $$ Correct Answer $$ \frac{40{x}^{2} + -21x - 27}{12{x}^{2} - 38x + 20} $$

5.

Evaluate the following equations. 1. Find B to 3 significant figures in the following equation: $$ B = \sin\left(z\right)\ln\left(z\right) - \cos\left(xy\right),$$ Given that x = -2.0, y = -2.0, z = 3.0 Correct Answer 0.809 2. Find h to 3 significant figures in the following equation: $$ h = \frac{y}{z} - \ln\left(\sqrt{x}\right),$$ Given that x = 3.0, y = -1.0, z = -1.0 Correct Answer 0.451

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\left(3 - x + y - z\right)\left(z - 2 - \sin\left(z\right)\right) = \frac{yz + mz}{\cos\left(z - x\right)},$$ Correct Answer $$m = \frac{\left(3 - x + y - z\right)\left(z - 2 - \sin\left(z\right)\right)\cos\left(z - x\right) - yz}{z}$$ 2. Rearrange the following equation to get an expression for m: $${4}^{6y} - \cos\left(xz\right) = \frac{-5xm}{z},$$ Correct Answer $$m = \frac{\frac{\left({4}^{6y} - \cos\left(xz\right)\right)z}{-5}}{x}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$-4{x}^{2} + 1x = -3$$ Correct Answer $$\frac{-3}{4}$$ and $$1$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -5\left(4g + 3Q\right) $$ Correct Answer $$ -20g - 15Q $$ 2. Expand the brackets to simplify the following:$$ (-\left(-6c + 6f\right)) $$ Correct Answer $$ 6c - 6f $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-2e + 5h\right)}^{2} $$ Correct Answer $$ 4{e}^{2} - 20eh + 25{h}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left((-B) + -2d\right)}^{2} $$ Correct Answer $$ {B}^{2} + 4Bd + 4{d}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -2g + -3j + 2u + -5j $$ Correct Answer $$ -2g + -8j + 2u $$ 2. Collect like terms to simplify the following:$$ -2g + -5Q + -3m + -5Q $$ Correct Answer $$ -2g + -10Q - 3m $$