Exam 2: Review and Applications of Algebra

Simplify and collect like terms: 6a - 3a - 2(2b - a)

Solve accurate to the cent: $\frac{2 x}{1.03^{7}}+x+x\left(1.03^{10}\right)=\$ 1000+\frac{\$ 2000}{1.03^{4}}$

Use the graphical method to solve the following pair of equations. y - 3x = 11 5x + 30 = 4y

Simplify and collect like terms: (-p) + (-3p) + (4p)

Solve for the unknown variable: $\frac{x}{(1.02)^{6}}+3 x(1.02)^{4}-\$ 1000=\frac{\$ 4000}{(1.02)^{3}}$

Solve accurate to the cent: $\frac{3 x}{1.025^{6}}+x(1.025)^{8}=\$ 2641.35$

Solve the following pair of equations. Verify your solution. 2.5a + 2b = 11 8a + 3.5b = 13

The final value of $\frac{\left(b^{10}\right)\left(b^{18}\right)}{b^{15}}$ is b¹³.

Solve for x and y: 2x + 3y = 7 3x - y = 5

A hockey arena has 2500 seats in the preferred red LOs near centre ice and 4500 seats in the less desirable blue LOs. At regular season prices, a sell-out would generate ticket revenue of $50,250 for a single game. Ticket prices are raised by 20% in the "blues" and 30% in the "reds" for the playoffs. Ticket revenue from a playoff sell-out would be $62,400. What are the ticket prices for the playoffs?

Perform the operation indicated and collect like terms: 3(a - 2)(4a + 1) - 5(2a + 3)(a - 7)

As a fundraiser, a local charity sold raffle tickets on a trip to Disney World at $2 each or three for $5. In all, 3,884 tickets were sold for a total of $6,925. How many people bought tickets at the three for $5 discount?

For the third quarter of 2016, Google Inc. reported a net income of $381.2 million, up 96% from a year earlier. What was the dollar amount of the increase in net income over the third quarter of 2015?

The share value of Rip-off Technologies has dropped this year by 85%, to a new low of $7.50 per share. How much money has been lost per share?

Evaluate the following: $\frac{1.055^{6}-1}{0.055}$

Solve the following pair of equations. Verify your solution. g - h= 17 $\frac{4}{3} g+\frac{3}{2} h=0$

Solve accurate to the cent: $x(1.05)^{3}+\$ 1000+\frac{x}{1.05^{7}}=\frac{\$ 5000}{1.05^{2}}$

Simplify the following: $\frac{\left(2 a^{3} b^{2}\right)^{4}}{a^{2} b^{3}}$

Simplify: [2(1 + i)]²

Simplify: (x⁶) (x^-4)