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

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

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -5a + 4Y + 1u + -2Y $$ Correct Answer $$ -5a + 2Y + u $$ 2. Collect like terms to simplify the following:$$ -3P + 3Y + 1k + 5Y $$ Correct Answer $$ -3P + 8Y + k $$

4.

Adding fractions 1. Simplify the following:$$ \frac{5x + 4}{-6x + 6} + \frac{6x + -6}{-2x + 5} $$ Correct Answer $$ \frac{-46{x}^{2} + 89x - 16}{12{x}^{2} - 42x + 30} $$ 2. Simplify the following:$$ \frac{-4x + 2}{2x + -3} + \frac{2x + -1}{2x + 2} $$ Correct Answer $$ \frac{-4{x}^{2} + -12x + 7}{4{x}^{2} - 2x - 6} $$

5.

Evaluate the following equations. 1. Find h to 3 significant figures in the following equation: $$ h = \frac{\left(x - z\right)\sin\left(y\right)}{\sin\left(\cos\left(x\right)\right)},$$ Given that x = -6.0, y = -2.0, z = -6.0 Correct Answer 0.0 2. Find V to 3 significant figures in the following equation: $$ V = \frac{\sqrt{x}\left(\exp\left(z\right) - \sin\left(x\right)\right)}{\sin\left(y\right)},$$ Given that x = 6.0, y = 4.0, z = -6.0 Correct Answer -0.912

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$1{x}^{2} + -4x = -2$$ Correct Answer $$\frac{4 + \sqrt{8}}{2}$$ and $$\frac{4 - \sqrt{8}}{2}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 4\left(1c + -6f\right) $$ Correct Answer $$ 4c - 24f $$ 2. Expand the brackets to simplify the following:$$ 4\left(-2c + -5j\right) $$ Correct Answer $$ -8c - 20j $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(2B + 3h\right)}^{2} $$ Correct Answer $$ 4{B}^{2} + 12Bh + 9{h}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(3e + 4d\right)}^{2} $$ Correct Answer $$ 9{e}^{2} + 24ed + 16{d}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 2a + 3h + -5k + 1h $$ Correct Answer $$ 2a + 4h - 5k $$ 2. Collect like terms to simplify the following:$$ (-x) + -4d + -2n + 4d $$ Correct Answer $$ (-x) - 2n $$