1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 3\left((-a) + 6d\right) $$ Correct Answer $$ -3a + 18d $$ 2. Expand the brackets to simplify the following:$$ 2\left(-2i + 3A\right) $$ Correct Answer $$ -4i + 6A $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(3e + -4b\right)}^{2} $$ Correct Answer $$ 9{e}^{2} - 24eb + 16{b}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(5c + 1h\right)}^{2} $$ Correct Answer $$ 25{c}^{2} + 10ch + {h}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -2X + -4S + (-k) + -3S $$ Correct Answer $$ -2X + -7S - k $$ 2. Collect like terms to simplify the following:$$ 6P + (-S) + -2z + 1S $$ Correct Answer $$ 6P - 2z $$

4.

Adding fractions 1. Simplify the following:$$ \frac{1x + 3}{6x + -4} + \frac{5x + 2}{1x + 4} $$ Correct Answer $$ \frac{31{x}^{2} + (-x) + 4}{6{x}^{2} + 20x - 16} $$ 2. Simplify the following:$$ \frac{4x + 5}{-6x + -2} + \frac{1x + -4}{-4x + -1} $$ Correct Answer $$ \frac{-22{x}^{2} + -2x + 3}{24{x}^{2} + 14x + 2} $$

5.

Evaluate the following equations. 1. Find k to 3 significant figures in the following equation: $$ k = \frac{{2}^{\left(z - 4\right)}}{4x + \exp\left(y\right)},$$ Given that x = 5.0, y = 1.0, z = -2.0 Correct Answer 0.000688 2. Find V to 3 significant figures in the following equation: $$ V = \frac{\left(1 + y - \sin\left(z\right)\right)x}{y\ln\left(x\right)},$$ Given that x = 6.0, y = -4.0, z = 4.0 Correct Answer 1.88

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$2{x}^{2} + 2x = 5$$ Correct Answer $$\frac{\sqrt{44} - 2}{4}$$ and $$\frac{-2 - \sqrt{44}}{4}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 4\left(5i + -2y\right) $$ Correct Answer $$ 20i - 8y $$ 2. Expand the brackets to simplify the following:$$ -2\left(6B + -4j\right) $$ Correct Answer $$ -12B + 8j $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-4x + -5A\right)}^{2} $$ Correct Answer $$ 16{x}^{2} + 40xA + 25{A}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(3a + 2y\right)}^{2} $$ Correct Answer $$ 9{a}^{2} + 12ay + 4{y}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 6a + -3h + -2l + 3h $$ Correct Answer $$ 6a - 2l $$ 2. Collect like terms to simplify the following:$$ 2a + 1Y + 4u + -4Y $$ Correct Answer $$ 2a + -3Y + 4u $$