1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 4\left(2g + 2Y\right) $$ Correct Answer $$ 8g + 8Y $$ 2. Expand the brackets to simplify the following:$$ -4\left(5a + 3Y\right) $$ Correct Answer $$ -20a - 12Y $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(1B + -4j\right)}^{2} $$ Correct Answer $$ {B}^{2} - 8Bj + 16{j}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-6x + 5Y\right)}^{2} $$ Correct Answer $$ 36{x}^{2} - 60xY + 25{Y}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 2i + 5j + 3k + 6j $$ Correct Answer $$ 2i + 11j + 3k $$ 2. Collect like terms to simplify the following:$$ 5a + 6y + 6n + 4y $$ Correct Answer $$ 5a + 10y + 6n $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-2x + -5}{-5x + 3} + \frac{-5x + -4}{6x + 6} $$ Correct Answer $$ \frac{13{x}^{2} + -37x - 42}{-30{x}^{2} - 12x + 18} $$ 2. Simplify the following:$$ \frac{-5x + 5}{4x + 4} + \frac{-6x + -6}{-3x + -6} $$ Correct Answer $$ \frac{-9{x}^{2} + -33x - 54}{-12{x}^{2} - 36x - 24} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = \left(x + 3 + \sqrt{y}\right)\exp\left(\sqrt{z}\right),$$ Given that x = -1.0, y = 2.0, z = 3.0 Correct Answer 19.3 2. Find B to 3 significant figures in the following equation: $$ B = \frac{\exp\left(x\right)\left(6 + z\right)}{2\exp\left(z\right)y},$$ Given that x = 4.0, y = 5.0, z = -6.0 Correct Answer 0.0

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$1{x}^{2} + -6x = -6$$ Correct Answer $$\frac{6 + \sqrt{12}}{2}$$ and $$\frac{6 - \sqrt{12}}{2}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 3\left(-6B + 4y\right) $$ Correct Answer $$ -18B + 12y $$ 2. Expand the brackets to simplify the following:$$ 5\left(-4a + 3d\right) $$ Correct Answer $$ -20a + 15d $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-4c + -6b\right)}^{2} $$ Correct Answer $$ 16{c}^{2} + 48cb + 36{b}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-4c + -4y\right)}^{2} $$ Correct Answer $$ 16{c}^{2} + 32cy + 16{y}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 2a + 3b + -6m + -6b $$ Correct Answer $$ 2a + -3b - 6m $$ 2. Collect like terms to simplify the following:$$ -6a + 4f + 5k + 2f $$ Correct Answer $$ -6a + 6f + 5k $$