Question 1

The measure of one side of a square is $(s + 3)$ inches long. Which pair of expressions both represent the perimeter of this square?

Accepted Answer

$4(s + 3$)
and
$(s + 3)+(s  +3)+(s + 3)+(s  +3)$

Answer

$2s + 3$
and
$(s + 3)(s  +3)$

Answer

$2(s + 3)$
and
$(s + 3)(s  +3)$

Answer

$4s + 3$
and
$(s + 3)+(s  +3)+(s + 3)+(s  +3)$

Question 2

The amount of money in a bank account increased by 21.5% over the last year. If the amount of money at the beginning of the year is represented by $n,$ which expression represents the amount of money in the bank account after the increase?

Accepted Answer

$n + 0.215n$

Answer

$21.5n$

Answer

$0.215n$

Answer

$n + 21.5n$

Question 3

An item with an original price of $p$ dollars is on sale at a $25\%$ discount. Which expression is NOT equivalent to the price of the item with the discount?

Accepted Answer

$0.25p$

Answer

$(1.0p - 0.25p)$

Answer

$(1.0 -  0.25)p$

Answer

$0.75p$

Question 4

At a store, a hat has a regular price of $x$ dollars. During a sale, the price of the hat is discounted by 20%. The expression $0.8x$ describes the discounted price, in dollars, of the hat. Which expression also describes the discounted price, in dollars, of the hat?

Accepted Answer

$x-0.2x$

Answer

$0.2x$

Answer

$x-0.2$

Answer

$x-20$

Question 5

The regular price of an item at a store is $p$ dollars. The item is on sale for  $20\%$ off the regular price. Some of the expressions shown below represent the sale price, in dollars, of the item.

Which two expressions each represent the sale price of the item?

Accepted Answer

Expression B and Expression D

Answer

Expression C and Expression D

Answer

Expression B and Expression C

Answer

Expression A and Expression E

Question 6

The original selling price of a share of stock was $d$ dollars. The selling price for a share of the same stock at a later date was represented by the expression $1.15(0.95d).$ Which description could explain what happened to the price of the share of stock?

Accepted Answer

The price decreased by $5\%$ and then increased by $15\%.$

Answer

The price decreased by $5\%$ and then increased by $0.15\%.$

Answer

The price decreased by $95\%$ and then increased by $0.15\%.$

Answer

The price decreased by $95\%$ and then increased by $15\%.$

Question 7

Lance bought $n$ notebooks that cost $$\$0.75$$ each and $p$ pens that cost $$\$0.55$$ each. A $6.25\%$ sales tax will be applied to the total cost. Which expression represents the total amount Lance paid, including tax?

Accepted Answer

$(0.75n + 0.55p) + 0.0625(0.75n + 0.55p)$

Answer

$0.75(0.0625n) + 0.55(0.0625n)$

Answer

$0.75(1.0625n) + 0.55(1.0625n)$

Answer

$0.0625(n + p) + 0.0625(0.75n + 0.55p)$

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