NS Lessons 9 - 16: All operations with Rationals Review

NS Adding, Subtracting, Multiplying & Dividing Rationals

Review!

Multiple Choice

Fill in the blank. To add rationals with the SAME SIGNS, add and __________ the sign.

• subtract

• additive inverse

• keep

• reverse

Multiple Choice

Fill in the blanks (2 words). To add rationals with DIFFERENT SIGNS, subtract and use the sign of the larger ________ ________.

• absolute value

• additive inverse

• common denominator

• improper fraction

Multiple Choice

Solve. -7 + -4

• -3

• 28

• -11

• 74

Multiple Choice

Solve

 $14\ +\ \left(-3\right)$  

• -11

• 11

• 17

• -17

Multiple Choice

 $-7.7\ +\ \left(2.1\right)$  

Solve.

•  $9.8$  

•  $-5.6$  

•  $-9.8$  

•  $5.6$  

Multiple Choice

 $\frac{\ -3\ \ }{\ 8}\ +\ \frac{\ \ \ 7\ \ }{8}$  Answer in lowest terms! 

•  $\frac{\ \ 3\ \ }{4}$  

•  $\frac{\ \ 5\ \ }{8}$  

•  $1\frac{1}{4}$  

•  $\frac{\ \ 1\ \ }{2}$  

Multiple Choice

Solve $\frac{1}{\ 8\ }\ +\ -\frac{3}{\ 4\ }$  

•  $-\frac{1}{4}$  

•  $\frac{5}{8}$  

•  $-\frac{5}{8}$  

•  $-\frac{2}{12}$  

Multiple Choice

Fill in the blanks (2 words). To subtract rationals, add the ________ ________.

• absolute value

• additive inverse

• common denominator

• improper fraction

Multiple Choice

Evaluate the expression: $15-\left(-8\right)$   

•  $23$  

•  $7$  

•  $-23$  

•  $158$  

Multiple Choice

-2 - (-10) = ?

• -12

• 12

• 8

• -8

Multiple Choice

Solve: 

 $5\ -\ 15\$  

• 20

• -20

• -10

• 10

Multiple Choice

Solve

 $-2.3\ -\ 1.4\$  

•  $-3.7$  

•  $0.9$  

•  $3.7$  

•  $-0.9$  

Multiple Choice

Solve

 $5\frac{2}{7}\ -\ 12$  

• 
  

  $-7\ \frac{5}{7}$

• $-6\ \frac{2}{7}$

• $-7\ \frac{2}{7}$

• $-6\ \frac{5}{7}$

Multiplication & Division

Same signs = positive

Different signs = negative

Use happy & sad faces!

Multiple Choice

A negative number divided by a positive number will result in an answer of:

• always positive

• always negative

• sometimes positive

• sometimes negative

Multiple Choice

A negative number multiplied by a negative number will result in an answer of:

• always positive

• always negative

• sometimes positive

• sometimes negative

Multiple Choice

Solve  $\frac{\ \ \ \frac{3}{4}\ \ \ }{\frac{-5\ }{8}}$  

•  $\frac{2}{8}$  

•  $-1\ \frac{1}{5}$  

•  $1\ \frac{1}{5}$  

•  $-\frac{1}{4}$  

Multiple Choice

 $\frac{-5.6}{8}$  

•  $-.7$  

• 7

•  $.7$  

• -7

Multiple Choice

-3(-4)

• -12

• 7

• -7

• 12

Multiple Choice

Solve

 $1.4\left(-0.3\right)$  

•  $4.6$  

•  $-1.7$  

•  $1.1$  

•  $-0.42$  

Multiple Choice

In home and career class, you are sewing pillowcases. The teacher has

 $9\frac{3}{4}$  yard of fabric. Each pillowcase uses  $\frac{\ 3\ }{\ 4\ }$  of yard of fabric. How many pillowcases can be sewn? 

• 9 pillowcases 

• 13 pillowcases 

• 7 pillowcases 

• 10 pillowcases 

Multiple Choice

Solve in lowest terms.  $\frac{-2\ }{\ 9\ }\ \times\ \frac{\ \ -3\ \ }{8}$  

•  $\frac{5}{17}$  

•  $-\frac{1}{12}$  

•  $-\frac{5}{17}$  

•  $\frac{1}{12}$  

Multiple Choice

 $\frac{1}{\ 5\ }\ \div\ \left(\frac{\ -\ 2\ \ }{\ 3}\right)$  

Solve. Answer in lowest terms.

•  $\frac{2}{15}$  

•  $\frac{\ -\ 3\ \ \ }{10}$  

•  $\frac{3}{8}$  

•  $-\frac{3}{5}$