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

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(1e + -3Q\right)}^{2} $$ Correct Answer $$ {e}^{2} - 6eQ + 9{Q}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-3a + (-y)\right)}^{2} $$ Correct Answer $$ 9{a}^{2} + 6ay + {y}^{2} $$

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

4.

Adding fractions 1. Simplify the following:$$ \frac{4x + 6}{4x + -2} + \frac{2x + 3}{-4x + -1} $$ Correct Answer $$ \frac{-8{x}^{2} + -20x - 12}{-16{x}^{2} + 4x + 2} $$ 2. Simplify the following:$$ \frac{-6x + 6}{-6x + -5} + \frac{-2x + 1}{5x + 5} $$ Correct Answer $$ \frac{-18{x}^{2} + 25 + 4x}{-30{x}^{2} - 55x - 25} $$

5.

Evaluate the following equations. 1. Find k to 3 significant figures in the following equation: $$ k = \left(xy + \frac{-3}{z}\right)\exp\left(1 + z\right),$$ Given that x = 1.0, y = -4.0, z = 5.0 Correct Answer -1860 2. Find k to 3 significant figures in the following equation: $$ k = \frac{\left(6 - z\right)\left(z - y + \cos\left(x\right)\right)}{z + 3},$$ Given that x = 6.0, y = 6.0, z = 3.0 Correct Answer -1.02

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\left(xz - \cos\left(y\right)\right)\cos\left(\frac{x}{z}\right) = \frac{-7m - 1}{\cos\left(x\right)\sin\left(y\right)},$$ Correct Answer $$m = \frac{\left(xz - \cos\left(y\right)\right)\cos\left(\frac{x}{z}\right)\cos\left(x\right)\sin\left(y\right) + 1}{-7}$$ 2. Rearrange the following equation to get an expression for m: $$\frac{z\left(y - 3\right)}{x\exp\left(x - z\right)} = \frac{\left(m - z\right)\sin\left(5y\right)}{3},$$ Correct Answer $$m = \frac{\frac{z\left(y - 3\right)}{x\exp\left(x - z\right)}3}{\sin\left(5y\right)} + z$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$6{x}^{2} + -6x = 6$$ Correct Answer $$\frac{6 + \sqrt{180}}{12}$$ and $$\frac{6 - \sqrt{180}}{12}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -3\left(5i + -2A\right) $$ Correct Answer $$ -15i + 6A $$ 2. Expand the brackets to simplify the following:$$ -6\left(4x + 1h\right) $$ Correct Answer $$ -24x - 6h $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-5P + -6h\right)}^{2} $$ Correct Answer $$ 25{P}^{2} + 60Ph + 36{h}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-5x + 6f\right)}^{2} $$ Correct Answer $$ 25{x}^{2} - 60xf + 36{f}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -4R + 6Q + 2u + 3Q $$ Correct Answer $$ -4R + 9Q + 2u $$ 2. Collect like terms to simplify the following:$$ 3R + 1b + 6m + 6b $$ Correct Answer $$ 3R + 7b + 6m $$