1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 4\left(-5X + -3Q\right) $$ Correct Answer $$ -20X - 12Q $$ 2. Expand the brackets to simplify the following:$$ 2\left(-2a + 1Y\right) $$ Correct Answer $$ -4a + 2Y $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-2P + 2Y\right)}^{2} $$ Correct Answer $$ 4{P}^{2} - 8PY + 4{Y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-2x + -4Y\right)}^{2} $$ Correct Answer $$ 4{x}^{2} + 16xY + 16{Y}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -6c + -6Q + -5k + -2Q $$ Correct Answer $$ -6c + -8Q - 5k $$ 2. Collect like terms to simplify the following:$$ -5P + 2Q + 3Z + -4Q $$ Correct Answer $$ -5P + -2Q + 3Z $$

4.

Adding fractions 1. Simplify the following:$$ \frac{1x + -1}{4x + 1} + \frac{-6x + 1}{5x + 6} $$ Correct Answer $$ \frac{-19{x}^{2} + (-x) - 5}{20{x}^{2} + 29x + 6} $$ 2. Simplify the following:$$ \frac{4x + -1}{1x + 1} + \frac{-5x + -6}{(-x) + -1} $$ Correct Answer $$ \frac{-9{x}^{2} + -14x - 5}{(-{x}^{2}) - 2x - 1} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = \frac{\left(2 - x\right)\sin\left(2y\right)}{xz},$$ Given that x = 3.0, y = 3.0, z = -4.0 Correct Answer -0.0233 2. Find k to 3 significant figures in the following equation: $$ k = \left(6z - \sin\left(x\right)\right)\left(\sin\left(x\right) + \cos\left(y\right)\right),$$ Given that x = -3.0, y = 1.0, z = -6.0 Correct Answer -14.3

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$1{x}^{2} + 1x + -3 = 0$$ Correct Answer $$\frac{\sqrt{13} - 1}{2}$$ and $$\frac{-1 - \sqrt{13}}{2}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 1\left(5g + 6f\right) $$ Correct Answer $$ 5g + 6f $$ 2. Expand the brackets to simplify the following:$$ 1\left(1B + -2Y\right) $$ Correct Answer $$ B - 2Y $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-6P + 6y\right)}^{2} $$ Correct Answer $$ 36{P}^{2} - 72Py + 36{y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left((-e) + -3A\right)}^{2} $$ Correct Answer $$ {e}^{2} + 6eA + 9{A}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 5i + -2y + 5n + 6y $$ Correct Answer $$ 5i + 4y + 5n $$ 2. Collect like terms to simplify the following:$$ 5P + 5b + -6k + -2b $$ Correct Answer $$ 5P + 3b - 6k $$