Study Guide: Rational Numbers Test



Study Guide: Rational Numbers Test

Section 1: Fractions and Decimal Conversions and Concepts

Write the following decimals using bar notation. Write each fraction as a decimal.

1.) 4.362126212... ___________________ 4.) 3 [pic] _______________________

2.) 11.83333333... ___________________ 5.) 1 [pic] _______________________

3.) 16.25162516... ___________________ 6.) [pic] ________________________

Write each decimal as a fraction in lowest terms.

7.) 0.205 _________________________ 8.) 0.67 ________________________

Section 2: Comparing Rational Numbers

Compare the following rational numbers using , or =.

9.) [pic] ___ 3.75 10.) 0.7 ____ 0.65 11.) [pic] _____ 0.6

Order each set of rational numbers from least to greatest.

12.) 0.4, [pic], 0.49 __________________ 13.) 0.76, [pic], 0.08 ____________________________

Section 3: Operations with Fractions and Mixed Numbers

14.) 1[pic] + 4 [pic] 15.) 3 [pic] - 2 [pic] 16.) 4 [pic] - 2 [pic]

17.) 1 [pic] X 4 [pic] 18.) 4 [pic] ÷ [pic] 19.) 3 [pic] ÷ 1 [pic]

Section 4: Equations with Fractions and Decimals (Solve for x.)

20.) - [pic] x = 9 21.) -8 = - [pic] x 22.) - [pic] = 8.6

Section 5: Fraction Word Problems

23.) Althea spent [pic] of her earnings last month. She spent [pic] on recreation, [pic] on art supplies, and the rest on clothes. What fraction of her earnings did she spend on clothes?

24.) Tyrone has filled 5 [pic] pages of his stamp book. Each page has room for 40 stamps. How many stamps are in his book?

25.) Tiffany spent [pic] of her money to buy pizza slices and [pic] of the remaining money to buy bags of chips. What fraction of her money did she spend on chips?

26.) Lee has 1[pic] pound supply of Kitty Biscuit Treats. Each day he gives his kitten [pic] pound of the biscuits. For how many days will his supply last?

27.)

|Age Group |Number of People Who Prefer Cats over |Total Number Surveyed |

| |Dogs | |

|5 - 10 years |16 |30 |

|11 - 16 years |14 |24 |

|17 - 22 years |20 |28 |

a. Which age group has the most that prefer cats over dogs?

b. Write a ratio for each age group. Write the ratio as a fraction in simplest terms, decimal, and percent.

5-10 years 11-16 years 17 - 22 years

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