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

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-3B + 4Y\right)}^{2} $$ Correct Answer $$ 9{B}^{2} - 24BY + 16{Y}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-3i + 2h\right)}^{2} $$ Correct Answer $$ 9{i}^{2} - 12ih + 4{h}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 2X + -4h + -2m + -2h $$ Correct Answer $$ 2X + -6h - 2m $$ 2. Collect like terms to simplify the following:$$ 3x + 4S + -4z + -2S $$ Correct Answer $$ 3x + 2S - 4z $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-5x + -2}{1x + -1} + \frac{5x + -3}{-2x + 4} $$ Correct Answer $$ \frac{15{x}^{2} + -24x - 5}{-2{x}^{2} + 6x - 4} $$ 2. Simplify the following:$$ \frac{1x + 2}{6x + -6} + \frac{-2x + 3}{1x + -4} $$ Correct Answer $$ \frac{-11{x}^{2} + 28x - 26}{6{x}^{2} - 30x + 24} $$

5.

Evaluate the following equations. 1. Find B to 3 significant figures in the following equation: $$ B = \ln\left(z - x\right)\exp\left(\sin\left(y\right)\right),$$ Given that x = 1.0, y = -6.0, z = 3.0 Correct Answer 0.917 2. Find V to 3 significant figures in the following equation: $$ V = \cos\left(\sqrt{x}\right)\cos\left(\frac{z}{y}\right),$$ Given that x = 2.0, y = 5.0, z = -4.0 Correct Answer 0.109

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$4{x}^{2} + -5x + -1 = 0$$ Correct Answer $$\frac{5 + \sqrt{41}}{8}$$ and $$\frac{5 - \sqrt{41}}{8}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 6\left(-5X + 1A\right) $$ Correct Answer $$ -30X + 6A $$ 2. Expand the brackets to simplify the following:$$ -4\left(3P + 3A\right) $$ Correct Answer $$ -12P - 12A $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-5B + -6Q\right)}^{2} $$ Correct Answer $$ 25{B}^{2} + 60BQ + 36{Q}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left((-X) + -2Q\right)}^{2} $$ Correct Answer $$ {X}^{2} + 4XQ + 4{Q}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ (-i) + 6h + 6z + 3h $$ Correct Answer $$ (-i) + 9h + 6z $$ 2. Collect like terms to simplify the following:$$ 5g + -5d + -5z + 2d $$ Correct Answer $$ 5g + -3d - 5z $$