IAR Grade 7 Math Review

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

Select each correct answer.

• $0.4x$

• $0.6x$

• $1-0.4x$

• $1-0.6x$

• $x-0.4x$

The temperature at sunrise 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 US shop for groceries.

Which sample should Javier use to get results that are 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.

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 before the discount is applied?

• $276.85

• $314.81

• $326.85

• $335.80

Ethan surveyed a random sample of 120 registered voters in his town each day for a week. The results of his survey for the week are shown in the table.

Based on the results, what is the best prediction for how many more votes Ms. Reynolds is expected to receive than Ms. Gibson?

• approximately 1,500 to 2,500 more votes

• approximately 2,500 to 3,500 more votes

• approximately 3,500 to 4,500 more votes

• approximately 4,500 to 5,500 more votes

Which ordered pairs are in a proportional relationship with (0.2, 0.3) ? Select each correct answer.

• (1.2, 2.3)

• (2.7, 4.3)

• (3.2, 4.8)

• (3.5, 5.3)

• (5.2, 7.8)

This is a scale drawing of a flag.

The scale factor of the drawing to the actual flag is represented by the ratio 1:18.

What is area in square inches, of the actual flag?

• 54

• 648

• 2

• 324

This is a scale drawing of a flag.

The scale factor of the drawing to the actual flag is represented by the ratio 1:18.

A letter "L" with a height of 9 inches is drawn on the actual flag. What should be the height, in inches, of the letter "L" on the scale drawing?

• 162

• 18

• 9

• 0.5