1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ (-\left(-4g + (-y)\right)) $$ Correct Answer $$ 4g + y $$ 2. Expand the brackets to simplify the following:$$ 5\left(1P + -2y\right) $$ Correct Answer $$ 5P - 10y $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(1X + 1h\right)}^{2} $$ Correct Answer $$ {X}^{2} + 2Xh + {h}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(5x + (-Y)\right)}^{2} $$ Correct Answer $$ 25{x}^{2} - 10xY + {Y}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 4a + 6d + 2v + 5d $$ Correct Answer $$ 4a + 11d + 2v $$ 2. Collect like terms to simplify the following:$$ 5g + (-Y) + -3m + 4Y $$ Correct Answer $$ 5g + 3Y - 3m $$

4.

Adding fractions 1. Simplify the following:$$ \frac{3x + -3}{3x + -3} + \frac{(-x) + 6}{1x + 1} $$ Correct Answer $$ \frac{21x - 21}{3{x}^{2} - 3} $$ 2. Simplify the following:$$ \frac{-6x + -5}{4x + -2} + \frac{3x + 4}{3x + -6} $$ Correct Answer $$ \frac{-6{x}^{2} + 31x + 22}{12{x}^{2} - 30x + 12} $$

5.

Evaluate the following equations. 1. Find h to 3 significant figures in the following equation: $$ h = {4}^{x}\left(x + 2\right) + \ln\left(yz\right),$$ Given that x = -3.0, y = -6.0, z = -1.0 Correct Answer 1.78 2. Find k to 3 significant figures in the following equation: $$ k = \left(x - z\right)\sin\left(y\right) - \cos\left(\ln\left(x\right)\right),$$ Given that x = 3.0, y = 4.0, z = -2.0 Correct Answer -4.24

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$2{x}^{2} + 4x = 6$$ Correct Answer $$1$$ and $$-3$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ (-\left(3g + -2Q\right)) $$ Correct Answer $$ -3g + 2Q $$ 2. Expand the brackets to simplify the following:$$ -4\left((-g) + -5b\right) $$ Correct Answer $$ 4g + 20b $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-6g + 1y\right)}^{2} $$ Correct Answer $$ 36{g}^{2} - 12gy + {y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(6X + -6y\right)}^{2} $$ Correct Answer $$ 36{X}^{2} - 72Xy + 36{y}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 2c + 4S + -4v + 2S $$ Correct Answer $$ 2c + 6S - 4v $$ 2. Collect like terms to simplify the following:$$ -3X + 3S + 5n + 4S $$ Correct Answer $$ -3X + 7S + 5n $$