IAR Practice

Which expression is equivalent to  $\frac{1}{6}-\frac{3}{8}+\frac{1}{2}$  ?

•  $\frac{1}{6}-\left(-\frac{3}{8}\right)+\frac{1}{2}$  

•  $\frac{1}{6}-\left(-\frac{3}{8}\right)+\left(-\frac{1}{2}\right)$  

•  $\frac{1}{6}+\left(-\frac{3}{8}\right)+\left(-\frac{1}{2}\right)$  

•  $\frac{1}{6}+\left(-\frac{3}{8}\right)+\frac{1}{2}$  

A company uses x amount of plastic to make bags. The company decreases the amount by 40%. Which expression represents amount of plastic used after the decrease?

• 0.4x

• 0.6x

• 1-0.4x

• 1-0.6x

• x-0.4x

The temperature was $-2\degree F.$  The temperature at sunset was  $18\degree F$  warmer than it was at sunrise. What was the temperature at sunset?

•  $-20\degree F$  

•  $-16\degree F$  

•  $16\degree F$  

•  $20\degree F$  

Solve each equation. $\frac{1}{2}\left(x-\frac{3}{4}\right)=\frac{5}{12}$   $\frac{3}{4\ }y-\frac{3}{2}=\frac{5}{2}$  

•  $x=\frac{19}{12}\ and\ y=\frac{4}{3}$  

•  $x=\frac{7}{3}and\ y=\frac{4}{3}$  

•  $x=\frac{19}{12}and\ y=\frac{16}{3}$  

•  $x=\frac{7}{3}and\ y=\frac{16}{3}$  

Javier will ask a survey question to determine the average number of times per month people around the United States shop for groceries.

Which sample should Javier use to get results that are the most representative of the total population?

• a random sample of 1,000 people from his town

• a random sample of 1,000 people from his state

• a random sample of 1,000 people from each of the 50 states

• a random sample of 1,000 people from 5 local grocery stores

Teams A and B are playing a game in gym by tossing beanbags. Tape is placed on the gym floor to mark off areas in which teams can score points, as shown in the diagram.

Rectangle A represents the area in which Team A can score points. Rectangle B represents the area in which Team B can score points. The place where both rectangles overlap is the area in which both teams can score points.

The area of Rectangle A is 10.5 square meters.
The area of Rectangle B is 8.4 square meters.
The area of overlap of both rectangles is 3/25 the area of Rectangle A.
What is the total area, in square meters, of the gym floor marked off by tape? 
Choose the answer that shows the steps in the correct order.

• Add 10.5 and 8.4 together, then subtract (8.4  $\times\frac{3}{25}$  )

•  Add 10.5 and 8.4 together, then subtract (10.5  $\times\frac{3}{25}$  )

• Subtract 8.4 from 10.5, then add  $\frac{3}{25}$  

• subtract  $\frac{3}{25}$  from 10.5

An appliance store sells an oven for 25% off the original price. The sale price is $251.85, not including tax. What is the price of the oven, not including tax, before the discount is applied?

• $276.85

• $314.81

• $326.85

• $335.80

A $435 refrigerator is sold with two discounts. $50 off then, 15% off. What is the final price of the refrigerator before taxes?

• 423.25

• $327.25

• $370

• $435

An appliance store has monthly sales of $52,900 in May and $78,300 in June. What is the percent increase in the sales from May to June, rounded to the nearest whole number?

• 48%

• 30%

• 52%

• 60%

Jordan is a salesperson at the store. Jordan has a base monthly salary of $1,450 and also earns a commission of 5% on his monthly sales. Jordan would like to earn a monthly salary of $1,800 in July. What amount of sales, in dollars, does Jordan need to reach the desired salary goal in July?

• 6,500

• 7,500

• 7,000

• 8,00