Summer Math Academy

Rational Number and IntegerOperations

100

If b represents a negative number, is b x b a positive or negative number? Why?

A negative multiplied by a negative is a positive. 

200

Solve with NO CALCULATOR: 

(-1.3) − (-4.3) =  

3  :) 

300

Solve and write your answer as a fraction: 

 7.5 −  ( - 3  1/6 )

10  2/3

400

Solve and write your answer as a decimal. 

- 1  1/2  −  ( -1  3/4 )  =

0.25

500

Which of the following has the same value as 

- 2/3 − (- 4/9) ?

A)  3/2 ÷  - 1/3           B)  - 2/3 × - 1/3  

C)  - 1/3 − 7/9            D)  - 1/3 +  1/9

A) 3/2 ÷ - 1/3 = - 4  1/2    B) - 2/3 × - 1/3  = 2/9

C) -1/3 − 7/9 = - 1  1/9    D) - 1/3 + 1/9  = -2/9

Combining Like Terms

100

Simplify: 

7x + 2 - 5 + 8 

7x + 5 

200

Simplify the expression: 

-7x + 3y +5x - 11y - 9y +3x

x - 17y

300

Simplify: 

 -13x - 5x - 4y + 15y + 3y - 2x

-20x + 14y

400

Simplify: 

7x + 7y - 7x + 8y +12

15y + 12

500

Simplify:

- 2/3c  — 9/5 + 14c + 3/10

13 1/3c  — 1 1/2

Opposites, Absolute Value, and Conversions

100

What is |13| ? 

13

200

What is 9/16 as a decimal rounded to the hundredth place? 

0.56

300

Which of the following fractions will result in a repeating decimal? 

A)  7/10                          B)  5/12

C) 5/8                            D) 3/5

A)  7/10 = 0.7            B)  5/12  = 0.41666.....

C) 5/8  = 0.625          D) 3/5  = 0.6

400

What is the absolute value of 1.25 as a fraction? 

1  1/4

500

What is the opposite of 19/4 as a decimal rounded to the tenth place? 

-4.8

Order of Operations and Substitution

100

Evaluate  x²(y-5+x)  for x=4 and y = 12

176

200

Evaluate: 

 2⁴(5.2 − 3.2) ÷ 4

8

300

Evaluate   −8x + 5 − 2x − 4 + 5x   for x = 2.

− 9

400

Evaluate: 

          8² − 5(3)

                           

             3+2²

7

500

 Evaluate for when x = 10.6 and y = 1.2

        x − 3.4

                         

         -5y²

-1

Order and Compare Rational Numbers

100

Compare the following using <, >, =

1  2/25    _________    1.052

1  2/25    _____>____    1.052

Greater than

200

Order the values from least to greatest: 

  7/8,   0.85,   87%,   3/4,  78%

Remember to write your answer using the values given to you! 

3/4,  78%,  0.85,  87%,  7/8

300

Order from greatest to least:  

- 1/4 ,  - 6/8 ,  1  4/5 ,  -0.5 ,  1.4  

Remember to write your answer using the values given to you! 

1  4/5,   1.4,   - 1/4,   -0.5,   -6/8 

400

Compare the following using <, >, =

(4/9 ÷ 5/7)    ________    (6.64 ÷ 8.3)

(4/9 ÷ 5/7)    ________    (6.64 ÷ 8.3)

   0.6222...  ______<_____ 0.8

500

Write the numbers in order from least to greatest: 

−2.04, −1.75, −2.4, −2.19, −1.8   

−2.4,  −2.19,  −2.04,  −1.8,  −1.75