1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 6\left(1B + -2y\right) $$ Correct Answer $$ 6B - 12y $$ 2. Expand the brackets to simplify the following:$$ 3\left(1g + -3y\right) $$ Correct Answer $$ 3g - 9y $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(2B + 6f\right)}^{2} $$ Correct Answer $$ 4{B}^{2} + 24Bf + 36{f}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(5x + -5b\right)}^{2} $$ Correct Answer $$ 25{x}^{2} - 50xb + 25{b}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 1x + 4j + 1k + 5j $$ Correct Answer $$ x + 9j + k $$ 2. Collect like terms to simplify the following:$$ (-g) + 6Y + -2k + -6Y $$ Correct Answer $$ (-g) - 2k $$

4.

Adding fractions 1. Simplify the following:$$ \frac{4x + -3}{-5x + -6} + \frac{5x + -6}{6x + -4} $$ Correct Answer $$ \frac{(-{x}^{2}) + -34x + 48}{-30{x}^{2} - 16x + 24} $$ 2. Simplify the following:$$ \frac{-3x + 4}{-2x + 4} + \frac{-4x + 4}{2x + 5} $$ Correct Answer $$ \frac{2{x}^{2} + -31x + 36}{-4{x}^{2} - 2x + 20} $$

5.

Evaluate the following equations. 1. Find B to 3 significant figures in the following equation: $$ B = \left(y + x - \exp\left(z\right)\right)\sin\left(2y\right),$$ Given that x = -2.0, y = 4.0, z = 1.0 Correct Answer -0.711 2. Find V to 3 significant figures in the following equation: $$ V = \left(\frac{4}{y} - yz\right)\left(x - 2 + \frac{z}{y}\right),$$ Given that x = 2.0, y = 2.0, z = -6.0 Correct Answer -42.0

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\frac{xy - \exp\left(y\right)}{\sin\left(y - z\right)} = \frac{\left(xy - m\right)y}{z\sqrt{x}},$$ Correct Answer $$m = xy - \frac{\frac{xy - \exp\left(y\right)}{\sin\left(y - z\right)}z\sqrt{x}}{y}$$ 2. Rearrange the following equation to get an expression for m: $$\frac{-6\cos\left(y\right)}{x} - \exp\left(\sqrt{z}\right) = \frac{(-\left(3 - y\right))}{x} - \frac{m + x}{\sin\left(z\right)},$$ Correct Answer $$m = \left(\frac{(-\left(3 - y\right))}{x} - \left(\frac{-6\cos\left(y\right)}{x} - \exp\left(\sqrt{z}\right)\right)\right)\sin\left(z\right) - x$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$1{x}^{2} + 5x + -3 = 0$$ Correct Answer $$\frac{\sqrt{37} - 5}{2}$$ and $$\frac{-5 - \sqrt{37}}{2}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 3\left((-B) + 4d\right) $$ Correct Answer $$ -3B + 12d $$ 2. Expand the brackets to simplify the following:$$ 5\left(3g + -6d\right) $$ Correct Answer $$ 15g - 30d $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-4e + 5h\right)}^{2} $$ Correct Answer $$ 16{e}^{2} - 40eh + 25{h}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-5a + (-b)\right)}^{2} $$ Correct Answer $$ 25{a}^{2} + 10ab + {b}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 5e + 2h + 1l + 4h $$ Correct Answer $$ 5e + 6h + l $$ 2. Collect like terms to simplify the following:$$ (-x) + -3Q + -4Z + 4Q $$ Correct Answer $$ (-x) + Q - 4Z $$