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

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(3a + (-A)\right)}^{2} $$ Correct Answer $$ 9{a}^{2} - 6aA + {A}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-3a + -5y\right)}^{2} $$ Correct Answer $$ 9{a}^{2} + 30ay + 25{y}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ (-e) + 6Q + -6z + 2Q $$ Correct Answer $$ (-e) + 8Q - 6z $$ 2. Collect like terms to simplify the following:$$ 3R + -3Q + 6Z + 4Q $$ Correct Answer $$ 3R + Q + 6Z $$

4.

Adding fractions 1. Simplify the following:$$ \frac{3x + -6}{-4x + -6} + \frac{-5x + 5}{(-x) + -5} $$ Correct Answer $$ \frac{17{x}^{2} + x}{4{x}^{2} + 26x + 30} $$ 2. Simplify the following:$$ \frac{2x + 2}{6x + 2} + \frac{-6x + 4}{2x + -6} $$ Correct Answer $$ \frac{-32{x}^{2} + 4x - 4}{12{x}^{2} - 32x - 12} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = \frac{\left(z + x\right)\exp\left(y\right)}{\ln\left(\sqrt{z}\right)},$$ Given that x = -4.0, y = -3.0, z = 6.0 Correct Answer 0.111 2. Find V to 3 significant figures in the following equation: $$ V = \frac{\left(z + 5\right)\cos\left(y - x\right)}{\sqrt{x}},$$ Given that x = 2.0, y = 1.0, z = 5.0 Correct Answer 3.82

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$1{x}^{2} + 1x + -4 = 0$$ Correct Answer $$\frac{\sqrt{17} - 1}{2}$$ and $$\frac{-1 - \sqrt{17}}{2}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -6\left(-3a + -3Q\right) $$ Correct Answer $$ 18a + 18Q $$ 2. Expand the brackets to simplify the following:$$ -5\left(-5a + 6A\right) $$ Correct Answer $$ 25a - 30A $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-2a + 3y\right)}^{2} $$ Correct Answer $$ 4{a}^{2} - 12ay + 9{y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(6c + -3h\right)}^{2} $$ Correct Answer $$ 36{c}^{2} - 36ch + 9{h}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ (-e) + 4d + 5n + 6d $$ Correct Answer $$ (-e) + 10d + 5n $$ 2. Collect like terms to simplify the following:$$ -3P + -6j + -2k + 3j $$ Correct Answer $$ -3P + -3j - 2k $$