1.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ 5\left(-2c + -2Q\right) $$ Correct Answer $$ -10c - 10Q $$ 2. Expand the brackets to simplify the following:$$ -5\left(-4a + -4h\right) $$ Correct Answer $$ 20a + 20h $$

2.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(6B + 2j\right)}^{2} $$ Correct Answer $$ 36{B}^{2} + 24Bj + 4{j}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(3P + -6d\right)}^{2} $$ Correct Answer $$ 9{P}^{2} - 36Pd + 36{d}^{2} $$

3.	Collect Like Terms 1. Collect like terms to simplify the following:$$ 1P + 2h + -6u + 2h $$ Correct Answer $$ P + 4h - 6u $$ 2. Collect like terms to simplify the following:$$ (-i) + 4b + 5Z + -6b $$ Correct Answer $$ (-i) + -2b + 5Z $$

4.

Adding fractions 1. Simplify the following:$$ \frac{5x + -6}{2x + -5} + \frac{(-x) + 1}{1x + 2} $$ Correct Answer $$ \frac{3{x}^{2} + 11x - 17}{2{x}^{2} - x - 10} $$ 2. Simplify the following:$$ \frac{5x + -4}{-2x + 2} + \frac{-6x + 4}{5x + 3} $$ Correct Answer $$ \frac{37{x}^{2} + -25x - 4}{-10{x}^{2} + 4x + 6} $$

5.

Evaluate the following equations. 1. Find k to 3 significant figures in the following equation: $$ k = \frac{{2}^{\exp\left(y\right)}x}{\left(z + y\right)z},$$ Given that x = 6.0, y = 3.0, z = -2.0 Correct Answer -3340000 2. Find h to 3 significant figures in the following equation: $$ h = \left(z + 1 + \cos\left(x\right)\right)\ln\left(\cos\left(y\right)\right),$$ Given that x = -5.0, y = -5.0, z = -3.0 Correct Answer 2.16

6.

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

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

8.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ -6\left(-6a + 1d\right) $$ Correct Answer $$ 36a - 6d $$ 2. Expand the brackets to simplify the following:$$ -5\left(1i + (-h)\right) $$ Correct Answer $$ -5i + 5h $$

9.	Expand the Brackets 1. Expand the brackets to simplify the following:$$ {\left(-4B + -6h\right)}^{2} $$ Correct Answer $$ 16{B}^{2} + 48Bh + 36{h}^{2} $$ 2. Expand the brackets to simplify the following:$$ {\left(-2P + 6h\right)}^{2} $$ Correct Answer $$ 4{P}^{2} - 24Ph + 36{h}^{2} $$

10.	Collect Like Terms 1. Collect like terms to simplify the following:$$ -4x + -4j + -4u + (-j) $$ Correct Answer $$ -4x + -5j - 4u $$ 2. Collect like terms to simplify the following:$$ 5e + 6Q + 1z + 1Q $$ Correct Answer $$ 5e + 7Q + z $$