1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -6\left(2c + -3d\right) $$ Correct Answer $$ -12c + 18d $$ 2. Expand the brackets to simplify the following:$$ 6\left(-3g + -6Q\right) $$ Correct Answer $$ -18g - 36Q $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(1B + (-Q)\right)}^{2} $$ Correct Answer $$ {B}^{2} - 2BQ + {Q}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(2B + 4j\right)}^{2} $$ Correct Answer $$ 4{B}^{2} + 16Bj + 16{j}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -4a + (-j) + -2n + 5j $$ Correct Answer $$ -4a + 4j - 2n $$ 2. Collect like terms to simplify the following:$$ 6a + -5d + (-Z) + 1d $$ Correct Answer $$ 6a + -4d - Z $$

4.

Adding fractions 1. Simplify the following:$$ \frac{-3x + 5}{1x + 3} + \frac{-4x + 5}{4x + -6} $$ Correct Answer $$ \frac{-16{x}^{2} + 31x - 15}{4{x}^{2} + 6x - 18} $$ 2. Simplify the following:$$ \frac{-6x + 6}{5x + 5} + \frac{-2x + -2}{4x + 5} $$ Correct Answer $$ \frac{-34{x}^{2} + -26x + 20}{20{x}^{2} + 45x + 25} $$

5.

Evaluate the following equations. 1. Find B to 3 significant figures in the following equation: $$ B = \ln\left(y + x\right)\cos\left(\frac{z}{6}\right),$$ Given that x = 3.0, y = 3.0, z = -3.0 Correct Answer 1.57 2. Find V to 3 significant figures in the following equation: $$ V = \cos\left(6 + x\right) - \sin\left(y - z\right),$$ Given that x = 2.0, y = -2.0, z = 1.0 Correct Answer -0.00438

6.

Rearrange the following equation. 1. Rearrange the following equation to get an expression for m: $$\frac{\left(x + 1\right){2}^{z}}{\exp\left(-2y\right)} = \left(mx + z - 4\right)\left(4y - \exp\left(x\right)\right),$$ Correct Answer $$m = \frac{\frac{\frac{\left(x + 1\right){2}^{z}}{\exp\left(-2y\right)}}{4y - \exp\left(x\right)} - \left(z - 4\right)}{x}$$ 2. Rearrange the following equation to get an expression for m: $$\frac{{4}^{y}\cos\left(x\right)}{\left(x - z\right)\sin\left(y\right)} = \left(x - 4\right)\sin\left(z\right) - \left(2y + ym\right),$$ Correct Answer $$m = \frac{\left(x - 4\right)\sin\left(z\right) - \frac{{4}^{y}\cos\left(x\right)}{\left(x - z\right)\sin\left(y\right)} - 2y}{y}$$

7.	Quadratic Equation Solve the following equation to get a value for x:$$-6{x}^{2} + -5x = 1$$ Correct Answer $$\frac{-1}{2}$$ and $$\frac{-1}{3}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 2\left(-3x + 4j\right) $$ Correct Answer $$ -6x + 8j $$ 2. Expand the brackets to simplify the following:$$ 1\left(2e + 2h\right) $$ Correct Answer $$ 2e + 2h $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(2B + (-j)\right)}^{2} $$ Correct Answer $$ 4{B}^{2} - 4Bj + {j}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-5B + -2f\right)}^{2} $$ Correct Answer $$ 25{B}^{2} + 20Bf + 4{f}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -3e + -6d + -2m + 3d $$ Correct Answer $$ -3e + -3d - 2m $$ 2. Collect like terms to simplify the following:$$ (-x) + -5j + -2l + 4j $$ Correct Answer $$ (-x) + (-j) - 2l $$