1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -3\left(-3P + -5y\right) $$ Correct Answer $$ 9P + 15y $$ 2. Expand the brackets to simplify the following:$$ 5\left(-2a + 4A\right) $$ Correct Answer $$ -10a + 20A $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-4x + 2b\right)}^{2} $$ Correct Answer $$ 16{x}^{2} - 16xb + 4{b}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(4g + -4j\right)}^{2} $$ Correct Answer $$ 16{g}^{2} - 32gj + 16{j}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 5a + 3Q + 1u + 1Q $$ Correct Answer $$ 5a + 4Q + u $$ 2. Collect like terms to simplify the following:$$ 1X + 3S + (-l) + -5S $$ Correct Answer $$ X + -2S - l $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-4x + 3}{-3x + -6} + \frac{4x + 6}{(-x) + -4} $$ Correct Answer $$ \frac{-8{x}^{2} + -29x - 48}{3{x}^{2} + 18x + 24} $$ 2. Simplify the following:$$ \frac{2x + 4}{5x + 1} + \frac{-3x + 3}{-5x + -3} $$ Correct Answer $$ \frac{-25{x}^{2} + -14x - 9}{-25{x}^{2} - 20x - 3} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = \frac{-3 - x}{y - 6} - \sin\left(-3z\right),$$ Given that x = -4.0, y = -6.0, z = -4.0 Correct Answer 0.453 2. Find B to 3 significant figures in the following equation: $$ B = \frac{4z\sin\left(\cos\left(x\right)\right)}{\cos\left(y\right)},$$ Given that x = 1.0, y = 1.0, z = -3.0 Correct Answer -11.4

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\frac{\left(5 - y\right)\exp\left(x + 6\right)}{\sqrt{z}} = \frac{z - 2}{\exp\left(x\right)} - \left(m + z\right)\sqrt{y},$$ Correct Answer $$m = \frac{\frac{z - 2}{\exp\left(x\right)} - \frac{\left(5 - y\right)\exp\left(x + 6\right)}{\sqrt{z}}}{\sqrt{y}} - z$$ 2. Rearrange the following equation to get an expression for m: $$\frac{\left(z - y\right)\cos\left(\frac{3}{y}\right)}{xz} = 2zm - \left(-4 - x\right)\left(x - 3\right),$$ Correct Answer $$m = \frac{\frac{\frac{\left(z - y\right)\cos\left(\frac{3}{y}\right)}{xz} + \left(-4 - x\right)\left(x - 3\right)}{2}}{z}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$6{x}^{2} + -2x = 5$$ Correct Answer $$\frac{2 + \sqrt{124}}{12}$$ and $$\frac{2 - \sqrt{124}}{12}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -3\left((-c) + -2Y\right) $$ Correct Answer $$ 3c + 6Y $$ 2. Expand the brackets to simplify the following:$$ 4\left(-3P + -6Y\right) $$ Correct Answer $$ -12P - 24Y $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(5c + 2A\right)}^{2} $$ Correct Answer $$ 25{c}^{2} + 20cA + 4{A}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-5e + 1Y\right)}^{2} $$ Correct Answer $$ 25{e}^{2} - 10eY + {Y}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 3a + -6Q + 2l + -3Q $$ Correct Answer $$ 3a + -9Q + 2l $$ 2. Collect like terms to simplify the following:$$ -4R + 2y + 5Z + -3y $$ Correct Answer $$ -4R + (-y) + 5Z $$