1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 3\left(5e + 2b\right) $$ Correct Answer $$ 15e + 6b $$ 2. Expand the brackets to simplify the following:$$ 4\left(5e + -2f\right) $$ Correct Answer $$ 20e - 8f $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-2B + 2Y\right)}^{2} $$ Correct Answer $$ 4{B}^{2} - 8BY + 4{Y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-4i + (-Y)\right)}^{2} $$ Correct Answer $$ 16{i}^{2} + 8iY + {Y}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 2i + 6h + -3m + 6h $$ Correct Answer $$ 2i + 12h - 3m $$ 2. Collect like terms to simplify the following:$$ -6e + 2j + 4m + -5j $$ Correct Answer $$ -6e + -3j + 4m $$

4.

Adding fractions 1. Simplify the following:$$ \frac{4x + 3}{-4x + -2} + \frac{-2x + -4}{5x + -6} $$ Correct Answer $$ \frac{28{x}^{2} + 11x - 10}{-20{x}^{2} + 14x + 12} $$ 2. Simplify the following:$$ \frac{2x + 1}{-6x + 6} + \frac{-2x + 1}{4x + -1} $$ Correct Answer $$ \frac{20{x}^{2} + -16x + 5}{-24{x}^{2} + 30x - 6} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = \frac{y - z}{2 - z} - \cos\left(x + 6\right),$$ Given that x = 6.0, y = -1.0, z = 5.0 Correct Answer 1.16 2. Find V to 3 significant figures in the following equation: $$ V = \left(z - y\right)\left(y + 5\right) - \frac{\ln\left(x\right)}{\sqrt{y}},$$ Given that x = 2.0, y = 1.0, z = 6.0 Correct Answer 29.3

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$4{x}^{2} + -5x = 6$$ Correct Answer $$2$$ and $$\frac{-3}{4}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -2\left(-4a + -2j\right) $$ Correct Answer $$ 8a + 4j $$ 2. Expand the brackets to simplify the following:$$ 5\left(-4e + -2y\right) $$ Correct Answer $$ -20e - 10y $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(2g + 3b\right)}^{2} $$ Correct Answer $$ 4{g}^{2} + 12gb + 9{b}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left((-c) + -6f\right)}^{2} $$ Correct Answer $$ {c}^{2} + 12cf + 36{f}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 3x + 4b + -3l + -5b $$ Correct Answer $$ 3x + (-b) - 3l $$ 2. Collect like terms to simplify the following:$$ -6i + -2y + -3z + (-y) $$ Correct Answer $$ -6i + -3y - 3z $$