Exam 2: Review and Applications of Algebra

Perform the operation indicated and collect like terms: (3p² - 5p)( -4p + 2)

Simplify: $\frac{9 y-7}{3}-2.3(y-2)$

Solve accurate to the cent: $x\left(1+0.095 \times \frac{84}{365}\right)+\frac{2 x}{\left(1+0.095 \times \frac{108}{365}\right)}=\$ 1160.20$

Madison found a sweater at a suburban discount mall for 25% less than at a store in downtown Toronto. What percentage more would she have paid if she bought the sweater in downtown Toronto?

Steel is an alloy of iron and nickel. A steel recycling company has two piles of scrap steel. Pile A contains steel with 5.25% nickel content. Pile B contains steel with 2.84% nickel. The company has an order for 32.5 tonnes of steel containing 4.15% nickel. How much scrap steel should be taken from each pile for reprocessing?

Simplify and collect like terms: 9x - [4y - 3(x - y)]

Evaluate to six-figure accuracy: $\left(-\frac{2}{3}\right)^{3} \div\left(\frac{3}{2}\right)^{-2}$

Elegance shampoo has a suggested retail price of $4.49 for its 500 ml bottle. The manufacturer of the shampoo wants to increase the unit retail price by 10% at the same time that it reduces the container size to 425 ml. What should be the suggested retail price of the smaller bottle?

What was the percent change in unit price when the regular size of Lily soap bars dropped from 100 g to 90 g (with no change in the price per bar)?

Evaluate and calculate to the cent: $\frac{N}{1-d}$ for N = $89.10, d = 0.10

Simplify the following expression: $\frac{4 x}{2}+\frac{4.02 x}{5}-\frac{x}{3}$

The final value of (d⁷)⁴ is d¹¹.

After real estate fees of 3% had been deducted from the proceeds of the sale of a property, the real estate agent sent the vendor (seller) of the property $244,400. What was the amount of fees retained by the real estate agent?

Evaluate the following: $\frac{1-1.075^{-8}}{0.075}$

In the first year

35% of $180.00 is what amount?

Simplify and collect like terms: -a + (2b - c) - (a -b +c)

What amount after being increased by 210% equals $465?

The commission on a transaction is 3% of the first $100,000 and 2% of the balance. What was the amount of a transaction where the commission charged was $10,100?

Evaluate to six-figure accuracy: (0.001)^-2