1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -6\left((-e) + 1A\right) $$ Correct Answer $$ 6e - 6A $$ 2. Expand the brackets to simplify the following:$$ 6\left((-c) + -5A\right) $$ Correct Answer $$ -6c - 30A $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(2B + 6j\right)}^{2} $$ Correct Answer $$ 4{B}^{2} + 24Bj + 36{j}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(5X + 6h\right)}^{2} $$ Correct Answer $$ 25{X}^{2} + 60Xh + 36{h}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -5g + -2j + 1k + -3j $$ Correct Answer $$ -5g + -5j + k $$ 2. Collect like terms to simplify the following:$$ -2P + -3b + 1k + -4b $$ Correct Answer $$ -2P + -7b + k $$

4.

Adding fractions 1. Simplify the following:$$ \frac{5x + 3}{-5x + -2} + \frac{2x + -1}{6x + -6} $$ Correct Answer $$ \frac{20{x}^{2} + -11x - 16}{-30{x}^{2} + 18x + 12} $$ 2. Simplify the following:$$ \frac{-4x + -4}{3x + 6} + \frac{-5x + -2}{-6x + 1} $$ Correct Answer $$ \frac{9{x}^{2} + -16x - 16}{-18{x}^{2} - 33x + 6} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = \frac{\exp\left(z\right) + \cos\left(x\right)}{{4}^{y} - \exp\left(z\right)},$$ Given that x = 5.0, y = 6.0, z = -4.0 Correct Answer 0.0000737 2. Find k to 3 significant figures in the following equation: $$ k = \cos\left(x\right) + \sin\left(y\right) - \cos\left(3z\right),$$ Given that x = 3.0, y = -3.0, z = -6.0 Correct Answer -1.79

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$-3{x}^{2} + 1x = -3$$ Correct Answer $$\frac{(-\left(\sqrt{37} - 1\right))}{6}$$ and $$\frac{(-\left(-1 - \sqrt{37}\right))}{6}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -2\left(-6x + -2j\right) $$ Correct Answer $$ 12x + 4j $$ 2. Expand the brackets to simplify the following:$$ 4\left(1x + 6Q\right) $$ Correct Answer $$ 4x + 24Q $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-4X + -3f\right)}^{2} $$ Correct Answer $$ 16{X}^{2} + 24Xf + 9{f}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(6c + -3b\right)}^{2} $$ Correct Answer $$ 36{c}^{2} - 36cb + 9{b}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 6e + 4Y + -5k + 3Y $$ Correct Answer $$ 6e + 7Y - 5k $$ 2. Collect like terms to simplify the following:$$ 6c + -3h + -3u + 1h $$ Correct Answer $$ 6c + -2h - 3u $$