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

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-2P + 4b\right)}^{2} $$ Correct Answer $$ 4{P}^{2} - 16Pb + 16{b}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(6B + -3f\right)}^{2} $$ Correct Answer $$ 36{B}^{2} - 36Bf + 9{f}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -5P + -6b + -3n + -4b $$ Correct Answer $$ -5P + -10b - 3n $$ 2. Collect like terms to simplify the following:$$ 6a + 6S + 1Z + 6S $$ Correct Answer $$ 6a + 12S + Z $$

4.

Adding fractions 1. Simplify the following:$$ \frac{4x + -3}{(-x) + -4} + \frac{6x + 6}{-2x + 4} $$ Correct Answer $$ \frac{-14{x}^{2} + -8x - 36}{2{x}^{2} + 4x - 16} $$ 2. Simplify the following:$$ \frac{-2x + -3}{-4x + 4} + \frac{6x + 4}{-6x + 4} $$ Correct Answer $$ \frac{-12{x}^{2} + 18x + 4}{24{x}^{2} - 40x + 16} $$

5.

Evaluate the following equations. 1. Find V to 3 significant figures in the following equation: $$ V = \frac{2y}{\exp\left(z\right)} - \exp\left(\frac{-1}{x}\right),$$ Given that x = -3.0, y = -4.0, z = -1.0 Correct Answer -23.1 2. Find h to 3 significant figures in the following equation: $$ h = \left(-1 - x\right)\left(4 + y\right) + \exp\left(2z\right),$$ Given that x = 1.0, y = 4.0, z = -1.0 Correct Answer -15.9

6.

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

7.	Quadratic Equation Solve the following equation to get a value for x:$$2{x}^{2} + -6x = -2$$ Correct Answer $$\frac{6 + \sqrt{20}}{4}$$ and $$\frac{6 - \sqrt{20}}{4}$$

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 1\left(5X + -6b\right) $$ Correct Answer $$ 5X - 6b $$ 2. Expand the brackets to simplify the following:$$ -5\left(6e + 4A\right) $$ Correct Answer $$ -30e - 20A $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(1x + 6j\right)}^{2} $$ Correct Answer $$ {x}^{2} + 12xj + 36{j}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(2x + 6j\right)}^{2} $$ Correct Answer $$ 4{x}^{2} + 24xj + 36{j}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -6e + 4d + 3n + 3d $$ Correct Answer $$ -6e + 7d + 3n $$ 2. Collect like terms to simplify the following:$$ -5e + (-f) + -2Z + (-f) $$ Correct Answer $$ -5e + -2f - 2Z $$