1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 2\left(-4a + (-Q)\right) $$ Correct Answer $$ -8a - 2Q $$ 2. Expand the brackets to simplify the following:$$ -4\left(3B + 4Y\right) $$ Correct Answer $$ -12B - 16Y $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(2a + -4b\right)}^{2} $$ Correct Answer $$ 4{a}^{2} - 16ab + 16{b}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(1x + -3h\right)}^{2} $$ Correct Answer $$ {x}^{2} - 6xh + 9{h}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 4X + (-f) + (-Z) + -2f $$ Correct Answer $$ 4X + -3f - Z $$ 2. Collect like terms to simplify the following:$$ 6i + 2S + -2v + 1S $$ Correct Answer $$ 6i + 3S - 2v $$

4.

Adding fractions 1. Simplify the following:$$ \frac{5x + 3}{6x + 6} + \frac{3x + 3}{1x + -2} $$ Correct Answer $$ \frac{23{x}^{2} + 29x + 12}{6{x}^{2} - 6x - 12} $$ 2. Simplify the following:$$ \frac{4x + -1}{3x + -2} + \frac{5x + 4}{2x + -4} $$ Correct Answer $$ \frac{23{x}^{2} + -16x - 4}{6{x}^{2} - 16x + 8} $$

5.

Evaluate the following equations. 1. Find h to 3 significant figures in the following equation: $$ h = \exp\left(\frac{y{5}^{z}}{x}\right),$$ Given that x = -1.0, y = 2.0, z = -2.0 Correct Answer 0.923 2. Find k to 3 significant figures in the following equation: $$ k = \frac{{5}^{\cos\left(z\right)}}{\cos\left(xy\right)},$$ Given that x = 1.0, y = -6.0, z = 3.0 Correct Answer 0.212

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$2{x}^{2} + -2x = 1$$ Correct Answer $$\frac{2 + \sqrt{12}}{4}$$ and $$\frac{2 - \sqrt{12}}{4}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 1\left(4a + -4A\right) $$ Correct Answer $$ 4a - 4A $$ 2. Expand the brackets to simplify the following:$$ (-\left(3X + -3y\right)) $$ Correct Answer $$ -3X + 3y $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-2e + 3j\right)}^{2} $$ Correct Answer $$ 4{e}^{2} - 12ej + 9{j}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-3e + -6Q\right)}^{2} $$ Correct Answer $$ 9{e}^{2} + 36eQ + 36{Q}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -2X + 2j + 6l + 2j $$ Correct Answer $$ -2X + 4j + 6l $$ 2. Collect like terms to simplify the following:$$ 6x + -4f + -2k + (-f) $$ Correct Answer $$ 6x + -5f - 2k $$