1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 2\left(-5e + 4Y\right) $$ Correct Answer $$ -10e + 8Y $$ 2. Expand the brackets to simplify the following:$$ -4\left(-6P + 4Q\right) $$ Correct Answer $$ 24P - 16Q $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(3x + -6Q\right)}^{2} $$ Correct Answer $$ 9{x}^{2} - 36xQ + 36{Q}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-4c + (-A)\right)}^{2} $$ Correct Answer $$ 16{c}^{2} + 8cA + {A}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 4R + (-f) + 4k + 6f $$ Correct Answer $$ 4R + 5f + 4k $$ 2. Collect like terms to simplify the following:$$ -6R + 2f + -4Z + -4f $$ Correct Answer $$ -6R + -2f - 4Z $$

4.

Adding fractions 1. Simplify the following:$$ \frac{4x + 6}{-3x + -4} + \frac{-6x + 1}{-5x + 4} $$ Correct Answer $$ \frac{-2{x}^{2} + 7x + 20}{15{x}^{2} + 8x - 16} $$ 2. Simplify the following:$$ \frac{3x + 3}{-6x + 4} + \frac{-4x + -2}{2x + -6} $$ Correct Answer $$ \frac{30{x}^{2} + -16x - 26}{-12{x}^{2} + 44x - 24} $$

5.

Evaluate the following equations. 1. Find k to 3 significant figures in the following equation: $$ k = \frac{\sin\left(y\right)}{\sqrt{x}} - \sqrt{(-z)},$$ Given that x = 3.0, y = 2.0, z = -5.0 Correct Answer -1.71 2. Find h to 3 significant figures in the following equation: $$ h = \frac{\left(x + y\right)\left(x + 5 + \ln\left(z\right)\right)}{z + 6},$$ Given that x = 4.0, y = -1.0, z = 2.0 Correct Answer 3.63

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\frac{\sqrt{x} - \cos\left(z\right)}{\exp\left(-3y\right)} = \frac{\left(m + \exp\left(y\right)\right)\left(y + 6\right)}{\sqrt{z}},$$ Correct Answer $$m = \frac{\frac{\sqrt{x} - \cos\left(z\right)}{\exp\left(-3y\right)}\sqrt{z}}{y + 6} - \exp\left(y\right)$$ 2. Rearrange the following equation to get an expression for m: $$\left(\frac{y}{x} + \exp\left(z\right)\right)\sin\left(5z\right) = \left(3 + m - 3z\right)\left(\exp\left(y\right) - \sqrt{x}\right),$$ Correct Answer $$m = \frac{\left(\frac{y}{x} + \exp\left(z\right)\right)\sin\left(5z\right)}{\exp\left(y\right) - \sqrt{x}} + 3z - 3$$

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

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 3\left((-c) + -2Y\right) $$ Correct Answer $$ -3c - 6Y $$ 2. Expand the brackets to simplify the following:$$ -6\left(-5X + 6h\right) $$ Correct Answer $$ 30X - 36h $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-5X + -2A\right)}^{2} $$ Correct Answer $$ 25{X}^{2} + 20XA + 4{A}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-4x + -4Y\right)}^{2} $$ Correct Answer $$ 16{x}^{2} + 32xY + 16{Y}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 2x + -4b + -6Z + 5b $$ Correct Answer $$ 2x + b - 6Z $$ 2. Collect like terms to simplify the following:$$ 6R + (-h) + 2v + 6h $$ Correct Answer $$ 6R + 5h + 2v $$