1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ (-\left(-4x + -6Y\right)) $$ Correct Answer $$ 4x + 6Y $$ 2. Expand the brackets to simplify the following:$$ -2\left((-B) + 5j\right) $$ Correct Answer $$ 2B - 10j $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-3X + 4h\right)}^{2} $$ Correct Answer $$ 9{X}^{2} - 24Xh + 16{h}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(2P + 3h\right)}^{2} $$ Correct Answer $$ 4{P}^{2} + 12Ph + 9{h}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 6R + -5h + 4u + -3h $$ Correct Answer $$ 6R + -8h + 4u $$ 2. Collect like terms to simplify the following:$$ 4X + -4y + 6k + 1y $$ Correct Answer $$ 4X + -3y + 6k $$

4.

Adding fractions 1. Simplify the following:$$ \frac{6x + 1}{-5x + 5} + \frac{-4x + 6}{-5x + -2} $$ Correct Answer $$ \frac{-10{x}^{2} + -67x + 28}{25{x}^{2} - 15x - 10} $$ 2. Simplify the following:$$ \frac{6x + -5}{(-x) + -3} + \frac{(-x) + -6}{2x + -1} $$ Correct Answer $$ \frac{13{x}^{2} + -7x + 23}{-2{x}^{2} - 5x + 3} $$

5.

Evaluate the following equations. 1. Find k to 3 significant figures in the following equation: $$ k = \frac{\left(y - z\right){5}^{\cos\left(z\right)}}{{2}^{x}},$$ Given that x = 1.0, y = -5.0, z = 2.0 Correct Answer -1.79 2. Find B to 3 significant figures in the following equation: $$ B = \frac{y\left(6 + z\right)}{x} - \cos\left(-3y\right),$$ Given that x = -3.0, y = 6.0, z = -1.0 Correct Answer -10.7

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$4{x}^{2} + 6x = 5$$ Correct Answer $$\frac{\sqrt{116} - 6}{8}$$ and $$\frac{-6 - \sqrt{116}}{8}$$

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

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-5X + -2b\right)}^{2} $$ Correct Answer $$ 25{X}^{2} + 20Xb + 4{b}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-4X + -5Y\right)}^{2} $$ Correct Answer $$ 16{X}^{2} + 40XY + 25{Y}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 5a + -4b + 4z + 6b $$ Correct Answer $$ 5a + 2b + 4z $$ 2. Collect like terms to simplify the following:$$ 3e + -5d + 6Z + -5d $$ Correct Answer $$ 3e + -10d + 6Z $$