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

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-5e + -5f\right)}^{2} $$ Correct Answer $$ 25{e}^{2} + 50ef + 25{f}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-6B + -5d\right)}^{2} $$ Correct Answer $$ 36{B}^{2} + 60Bd + 25{d}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 2c + -6h + -3Z + 1h $$ Correct Answer $$ 2c + -5h - 3Z $$ 2. Collect like terms to simplify the following:$$ 4g + 2Y + 6z + -6Y $$ Correct Answer $$ 4g + -4Y + 6z $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-5x + 6}{6x + 5} + \frac{1x + -4}{3x + -3} $$ Correct Answer $$ \frac{-9{x}^{2} + 14x - 38}{18{x}^{2} - 3x - 15} $$ 2. Simplify the following:$$ \frac{5x + -2}{5x + -3} + \frac{3x + 1}{6x + -3} $$ Correct Answer $$ \frac{45{x}^{2} + -31x + 3}{30{x}^{2} - 33x + 9} $$

5.

Evaluate the following equations. 1. Find h to 3 significant figures in the following equation: $$ h = \left({2}^{y} - \sin\left(y\right)\right)\sin\left(x + z\right),$$ Given that x = -6.0, y = 3.0, z = -2.0 Correct Answer -7.78 2. Find h to 3 significant figures in the following equation: $$ h = \frac{\cos\left(x - 3\right)}{\cos\left(z - y\right)},$$ Given that x = 1.0, y = -6.0, z = 2.0 Correct Answer 2.86

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$1{x}^{2} + 6x = -1$$ Correct Answer $$\frac{\sqrt{32} - 6}{2}$$ and $$\frac{-6 - \sqrt{32}}{2}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 3\left(-6e + -6Q\right) $$ Correct Answer $$ -18e - 18Q $$ 2. Expand the brackets to simplify the following:$$ 5\left(3i + -6Q\right) $$ Correct Answer $$ 15i - 30Q $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-5B + -2A\right)}^{2} $$ Correct Answer $$ 25{B}^{2} + 20BA + 4{A}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(5a + 6j\right)}^{2} $$ Correct Answer $$ 25{a}^{2} + 60aj + 36{j}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -4e + -2S + 1z + 6S $$ Correct Answer $$ -4e + 4S + z $$ 2. Collect like terms to simplify the following:$$ 2i + 4S + -2Z + 5S $$ Correct Answer $$ 2i + 9S - 2Z $$