1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -6\left(6i + -2A\right) $$ Correct Answer $$ -36i + 12A $$ 2. Expand the brackets to simplify the following:$$ 5\left(6P + -4Y\right) $$ Correct Answer $$ 30P - 20Y $$

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

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 1e + -5j + -4Z + -6j $$ Correct Answer $$ e + -11j - 4Z $$ 2. Collect like terms to simplify the following:$$ -5a + 6y + -4n + -3y $$ Correct Answer $$ -5a + 3y - 4n $$

4.

Adding fractions 1. Simplify the following:$$ \frac{3x + -5}{-6x + 5} + \frac{-4x + 5}{-2x + 6} $$ Correct Answer $$ \frac{18{x}^{2} + -22x - 5}{12{x}^{2} - 46x + 30} $$ 2. Simplify the following:$$ \frac{5x + -2}{(-x) + 1} + \frac{3x + 4}{-2x + -3} $$ Correct Answer $$ \frac{-13{x}^{2} + -12x + 10}{2{x}^{2} + x - 3} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = \left(xz - 3y\right)\sin\left(\frac{y}{4}\right),$$ Given that x = -5.0, y = -5.0, z = -5.0 Correct Answer -38.0 2. Find V to 3 significant figures in the following equation: $$ V = \left(2z + \sin\left(y\right)\right)\cos\left(1 - x\right),$$ Given that x = -3.0, y = 3.0, z = -4.0 Correct Answer 5.14

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$-5{x}^{2} + -3x + 6 = 0$$ Correct Answer $$\frac{(-\left(3 + \sqrt{129}\right))}{10}$$ and $$\frac{(-\left(3 - \sqrt{129}\right))}{10}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 5\left(4P + -5A\right) $$ Correct Answer $$ 20P - 25A $$ 2. Expand the brackets to simplify the following:$$ 3\left(-5c + -2d\right) $$ Correct Answer $$ -15c - 6d $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-3c + -5Y\right)}^{2} $$ Correct Answer $$ 9{c}^{2} + 30cY + 25{Y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-5B + (-j)\right)}^{2} $$ Correct Answer $$ 25{B}^{2} + 10Bj + {j}^{2} $$

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