Adding and Subtracting Integers Ms. Towne

The result of increasing a number by - 7 is 10. What is the number?

• -17

• 17

• 3

• -3

A submarine is 234 feet below sea level. A helicopter passes over the submarine at an altitude of 605 feet above sea level. What is the difference in the depth of the submarine and the altitude of the helicopter?

• 495 ft

• 394 ft

• 298 ft

• 371 ft

Howie bought 4 binders at $5.43 each, a pack of pencils for $2.34, and a new coat for $19.99. How much money did Howie spend altogether?

• $44.05

• $27.76

• $31.76

• $42.45

Kyle checked his solution to a problem using the multiplicative inverse of 7. What value did he use to check his solution?

• -0.7

• -7

• $\frac{1}{7}$

• $\frac{7}{1}$

Which of the following is an example of the multiplicative inverse?

• $\frac{1}{9}\times\frac{1}{9}$

• $\frac{1}{9}\times\frac{9}{1}$

• $-9\times9$

• $9\times-0.9$

 $\left(2.34+1.35\right)+5.64$  

Franklin bought one pen that cost $2.34 and one that cost $1.35. He bought a notebook that costs $5.64. The expression above represents the cost of Franklin's purchase. Franklin used the associative property to make this problem easier to solve mentally. Which of the following illustrates the associative property only?

•  $\left(2.34+1.35\right)+5.64=2.34+\left(1.35+5.64\right)$  

•  $\left(2.34+1.35\right)+5.64=5.64+\left(2.34+1.35\right)$  

•  $\left(2.34+1.35\right)+5.64=\left(1.35+2.34\right)+5.64$  

•  $\left(2.34+1.35\right)+5.64=\left(2.34+5.64\right)+1.35$  

Which expression is the same as    $\frac{1}{5}+\left(\frac{1}{6}+\frac{1}{7}\right)+\frac{1}{8}$  using the commutative property of addition?

•  $\frac{1}{5}+\frac{1}{6}+\left(\frac{1}{7}+\frac{1}{8}\right)$  

•  $\left(\frac{1}{5}+\frac{1}{6}\right)+\frac{1}{7}+\frac{1}{8}$  

•  $\frac{1}{5}+\left(\frac{1}{7}+\frac{1}{6}\right)+\frac{1}{8}$  

•  $\frac{1}{5}+\left(\frac{1}{6}+\frac{1}{7}\right)+\frac{1}{8}$  

There are 24 students in Ms. Woodall's class. 
 $\frac{1}{2}$  of the students are boys. 
 $\frac{1}{3}$  of the boys have brown hair.
What is the number of boys in Ms. Woodall's class who have brown hair?

• 12

• 20

• 4

• 8