1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 4\left((-X) + -3A\right) $$ Correct Answer $$ -4X - 12A $$ 2. Expand the brackets to simplify the following:$$ 2\left(-2i + -6Q\right) $$ Correct Answer $$ -4i - 12Q $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-6P + 5d\right)}^{2} $$ Correct Answer $$ 36{P}^{2} - 60Pd + 25{d}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-2i + 2A\right)}^{2} $$ Correct Answer $$ 4{i}^{2} - 8iA + 4{A}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 6a + 3d + -6v + (-d) $$ Correct Answer $$ 6a + 2d - 6v $$ 2. Collect like terms to simplify the following:$$ -2c + 4y + 2m + -6y $$ Correct Answer $$ -2c + -2y + 2m $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-3x + 5}{(-x) + -5} + \frac{6x + -4}{1x + 2} $$ Correct Answer $$ \frac{-9{x}^{2} + -27x + 30}{(-{x}^{2}) - 7x - 10} $$ 2. Simplify the following:$$ \frac{2x + 2}{5x + 6} + \frac{-4x + -1}{-6x + -1} $$ Correct Answer $$ \frac{-32{x}^{2} + -43x - 8}{-30{x}^{2} - 41x - 6} $$

5.

Evaluate the following equations. 1. Find B to 3 significant figures in the following equation: $$ B = \frac{\left(x - z\right)\sin\left(xy\right)}{\sin\left(x\right)},$$ Given that x = 2.0, y = -3.0, z = 1.0 Correct Answer 0.307 2. Find k to 3 significant figures in the following equation: $$ k = {2}^{\left(z + y\right)}{2}^{\left(x - z\right)},$$ Given that x = -3.0, y = 3.0, z = 1.0 Correct Answer 1.00

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$(-{x}^{2}) + -5x + 1 = 0$$ Correct Answer $$\frac{(-\left(5 + \sqrt{29}\right))}{2}$$ and $$\frac{(-\left(5 - \sqrt{29}\right))}{2}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -6\left((-P) + 4Q\right) $$ Correct Answer $$ 6P - 24Q $$ 2. Expand the brackets to simplify the following:$$ (-\left(-5a + 6f\right)) $$ Correct Answer $$ 5a - 6f $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left((-e) + (-y)\right)}^{2} $$ Correct Answer $$ {e}^{2} + 2ey + {y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(2x + 4f\right)}^{2} $$ Correct Answer $$ 4{x}^{2} + 16xf + 16{f}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -3a + -4y + 6k + 1y $$ Correct Answer $$ -3a + -3y + 6k $$ 2. Collect like terms to simplify the following:$$ -4X + -3Q + -3u + 1Q $$ Correct Answer $$ -4X + -2Q - 3u $$