1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 3\left(5g + (-h)\right) $$ Correct Answer $$ 15g - 3h $$ 2. Expand the brackets to simplify the following:$$ 2\left(3a + (-A)\right) $$ Correct Answer $$ 6a - 2A $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-5e + -5f\right)}^{2} $$ Correct Answer $$ 25{e}^{2} + 50ef + 25{f}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-6P + -4j\right)}^{2} $$ Correct Answer $$ 36{P}^{2} + 48Pj + 16{j}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -3g + 1S + 1m + -3S $$ Correct Answer $$ -3g + -2S + m $$ 2. Collect like terms to simplify the following:$$ 5a + -5j + 6z + -3j $$ Correct Answer $$ 5a + -8j + 6z $$

4.

Adding fractions 1. Simplify the following:$$ \frac{4x + 5}{4x + -1} + \frac{-5x + -2}{-4x + -2} $$ Correct Answer $$ \frac{-36{x}^{2} + -31x - 8}{-16{x}^{2} - 4x + 2} $$ 2. Simplify the following:$$ \frac{-2x + 2}{-3x + 1} + \frac{3x + -4}{4x + 5} $$ Correct Answer $$ \frac{-17{x}^{2} + 13x + 6}{-12{x}^{2} - 11x + 5} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = \ln\left(z + 4 - xy\right),$$ Given that x = -2.0, y = 6.0, z = -5.0 Correct Answer 2.40 2. Find k to 3 significant figures in the following equation: $$ k = \left({6}^{z} + x\right)\ln\left(\sin\left(y\right)\right),$$ Given that x = -3.0, y = 1.0, z = -5.0 Correct Answer 0.518

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$1{x}^{2} + 6x + 1 = 0$$ Correct Answer $$\frac{\sqrt{32} - 6}{2}$$ and $$\frac{-6 - \sqrt{32}}{2}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 6\left((-i) + -4y\right) $$ Correct Answer $$ -6i - 24y $$ 2. Expand the brackets to simplify the following:$$ -4\left((-e) + 1h\right) $$ Correct Answer $$ 4e - 4h $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left((-a) + 6j\right)}^{2} $$ Correct Answer $$ {a}^{2} - 12aj + 36{j}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(3e + 3h\right)}^{2} $$ Correct Answer $$ 9{e}^{2} + 18eh + 9{h}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -2X + 2j + 1k + (-j) $$ Correct Answer $$ -2X + j + k $$ 2. Collect like terms to simplify the following:$$ (-a) + -5Q + 5v + 1Q $$ Correct Answer $$ (-a) + -4Q + 5v $$