1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 6\left(5c + -6h\right) $$ Correct Answer $$ 30c - 36h $$ 2. Expand the brackets to simplify the following:$$ 6\left((-g) + 5y\right) $$ Correct Answer $$ -6g + 30y $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(3B + -3f\right)}^{2} $$ Correct Answer $$ 9{B}^{2} - 18Bf + 9{f}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-4i + 4h\right)}^{2} $$ Correct Answer $$ 16{i}^{2} - 32ih + 16{h}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -2P + 4Y + 5u + 5Y $$ Correct Answer $$ -2P + 9Y + 5u $$ 2. Collect like terms to simplify the following:$$ (-c) + 1j + -3k + 6j $$ Correct Answer $$ (-c) + 7j - 3k $$

4.

Adding fractions 1. Simplify the following:$$ \frac{2x + -1}{2x + -5} + \frac{6x + 4}{-5x + 1} $$ Correct Answer $$ \frac{2{x}^{2} + -15x - 21}{-10{x}^{2} + 27x - 5} $$ 2. Simplify the following:$$ \frac{-2x + -6}{5x + -6} + \frac{-2x + -4}{4x + 6} $$ Correct Answer $$ \frac{-18{x}^{2} + -44x - 12}{20{x}^{2} + 6x - 36} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = \ln\left(yz\right)\sqrt{\sin\left(x\right)},$$ Given that x = -5.0, y = 1.0, z = 2.0 Correct Answer 0.679 2. Find h to 3 significant figures in the following equation: $$ h = \frac{\left(z + y\right)\ln\left({4}^{y}\right)}{\sin\left(x\right)},$$ Given that x = 2.0, y = -1.0, z = -1.0 Correct Answer 3.05

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$(-{x}^{2}) + -6x = -3$$ Correct Answer $$\frac{(-\left(6 + \sqrt{48}\right))}{2}$$ and $$\frac{(-\left(6 - \sqrt{48}\right))}{2}$$

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

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

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -6P + 4j + -4k + 2j $$ Correct Answer $$ -6P + 6j - 4k $$ 2. Collect like terms to simplify the following:$$ 6P + -4Q + -3u + -5Q $$ Correct Answer $$ 6P + -9Q - 3u $$