1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 3\left((-B) + 5A\right) $$ Correct Answer $$ -3B + 15A $$ 2. Expand the brackets to simplify the following:$$ 3\left((-B) + 1f\right) $$ Correct Answer $$ -3B + 3f $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(1i + -5f\right)}^{2} $$ Correct Answer $$ {i}^{2} - 10if + 25{f}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(2a + -5Y\right)}^{2} $$ Correct Answer $$ 4{a}^{2} - 20aY + 25{Y}^{2} $$

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

4.

Adding fractions 1. Simplify the following:$$ \frac{1x + -1}{-4x + 6} + \frac{4x + 3}{6x + 3} $$ Correct Answer $$ \frac{-10{x}^{2} + 9x + 15}{-24{x}^{2} + 24x + 18} $$ 2. Simplify the following:$$ \frac{-5x + -3}{-3x + -4} + \frac{-5x + -3}{-6x + -5} $$ Correct Answer $$ \frac{45{x}^{2} + 72x + 27}{18{x}^{2} + 39x + 20} $$

5.

Evaluate the following equations. 1. Find h to 3 significant figures in the following equation: $$ h = \left(-1 - x\right)\sin\left(z\right) + \frac{z - 3}{\exp\left(y\right)},$$ Given that x = -4.0, y = 6.0, z = 3.0 Correct Answer 0.423 2. Find h to 3 significant figures in the following equation: $$ h = \exp\left(\frac{-2}{y} - \left(z + x\right)\right),$$ Given that x = -6.0, y = -6.0, z = -5.0 Correct Answer 83600

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\frac{xz\ln\left(z - y\right)}{\sin\left(z\right)} = \frac{4 + m - \cos\left(x\right)}{\sin\left(z - 1\right)},$$ Correct Answer $$m = \frac{xz\ln\left(z - y\right)}{\sin\left(z\right)}\sin\left(z - 1\right) + \cos\left(x\right) - 4$$ 2. Rearrange the following equation to get an expression for m: $$\frac{x\left(y - 6\right)}{z} - \sin\left(y + 3\right) = \frac{\left(x - z\right)\left(-6z - m\right)}{\sqrt{y}},$$ Correct Answer $$m = -6z - \frac{\left(\frac{x\left(y - 6\right)}{z} - \sin\left(y + 3\right)\right)\sqrt{y}}{x - z}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$-4{x}^{2} + 6x + 5 = 0$$ Correct Answer $$\frac{(-\left(\sqrt{116} - 6\right))}{8}$$ and $$\frac{(-\left(-6 - \sqrt{116}\right))}{8}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 4\left(-5e + -4j\right) $$ Correct Answer $$ -20e - 16j $$ 2. Expand the brackets to simplify the following:$$ 6\left(3B + 1Q\right) $$ Correct Answer $$ 18B + 6Q $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-2x + -3h\right)}^{2} $$ Correct Answer $$ 4{x}^{2} + 12xh + 9{h}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(2P + 6j\right)}^{2} $$ Correct Answer $$ 4{P}^{2} + 24Pj + 36{j}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -2e + -5Q + -4n + -4Q $$ Correct Answer $$ -2e + -9Q - 4n $$ 2. Collect like terms to simplify the following:$$ 4R + -5f + (-v) + 3f $$ Correct Answer $$ 4R + -2f - v $$