Prop of Math; Writing/Solving Expression, Equation, Inequa

Which equation illustrates the associative property of addition?

• (3x +4) +5 = 5 + (3x + 4)

• (4x + 3) + 0 = 4x + 3

• 5(3x + 4) = 15x + 20

• (3x + 4) + 5 = 3x + (4x + 5)

Which equation illustrates the commutative property?

• f + 5 = f + 5

• m(2 - n) - m(n - 2)

• p + q = q + p

• (h + 5 - 3 = h + (5 - 3)

Shanika wants to know which of the following numbers has the least value.
31% and

 $\frac{1}{7}$  
Which of these steps could she use to help her compare these numbers?

• Change $\frac{1}{7}$  to a percent by taking the denominator and multiplying it by 100.

• Change 31% to a fraction by putting 31 over 100 to form a fraction.

• Change $\frac{1}{7}$  to a percent by taking the numerator and multiplying it by 100.

• Change 31% to a fraction by putting 1 over 31 to form a fraction.

An office building is 20 feet taller than twice the height of a bank building. If the office building is 320 feet tall, how tall is the bank building?

• 150 feet

• 160 feet

• 180 feet

• 300 feet

Allison wants to buy a skirt that has a regular price of $30.
·      The skirt is on sale for 1/5 off the regular price.
·      Allison has a coupon that will take 1/10  off the sale price.
·      There is no sales tax on clothing. 

If Allison pays with a $50 bill, how much change will she receive?  _

Henry worked for 5.5 weeks at a summer camp.

· He earned $250.00 per week after taxes.

He saved 2/5 of his entire earnings and spent the rest.

How much money from his summer earnings did Henry spend? _

Which of the following equations would be solved for x by adding 8 to both sides and then multiplying both sides by 2?

• $5\ =\ \frac{1}{2}x\ +\ 8$

• $5\ =\ \frac{1}{2}\left(x\ +\ 8\right)$

• $5\ =\ \frac{1}{2}x\ -\ 8$

• $5\ =\ \frac{1}{2}\left(x\ -\ 8\right)$

Robin has a collection of dimes, nickels and quarters. He has 4 times as many dimes as nickels. He has 20 more quarters than nickels. The ratio of the number of dimes to the number of quarters is 3:2. Which equation can be used to calculate the number of nickels, n, Robin has?

• $\frac{4n}{n\ +\ 20}\ =\ \frac{3}{2}$

• $\frac{4n}{n\ -\ 20}\ =\ \frac{3}{2}$

• $\frac{n}{4\left(n\ +\ 20\right)}\ =\ \frac{3}{2}$

• $\frac{n}{4\left(n\ -\ 20\right)}\ =\ \frac{3}{2}$

What is the value of the expression  $-6\ \frac{3}{4\ }\ -1\ \frac{3}{12}$  

•  $-8$  

•  $-5\ \frac{2}{5}$  

•  $5\ \frac{2}{5}$  

•  $8$  

Kelly went to a store to purchase a coffee pot. She will use a coupon for 20% off. She can calculate the cost before sales tax using the following expression, where c represents the original cost of the coffee pot.

c - 0.2c

Which other expression could Kelly use to calculate her cost before sales tax?

• 0.8c

• 1.2c

• 1.8c

• 80c