## Test your basic knowledge |

# Important Math Facts

**Instructions:**

- Answer 50 questions in 15 minutes.
- If you are not ready to take this test, you can study here.
- Match each statement with the correct term.
- Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

**1. Both addition and multiplication are _________ . This means that order doesnft change the sum or product.**

**2. A _________ is an equation that shows two ratios are equivalent.**

**3. The symbol ≥ is read as ______________.**

**4. A _______ is a comparison of two numbers with different units of measure.**

**5. In a power - the number used as a factor is the base. In 10³ - the ________ is 10. That is - 10³ = 10 X 10 X 10.**

**6. A _______ is a ratio that compares a number to 100.**

**7. In a power - the number of times the base is used as a factor is the ________ . In 5³ - the exponent is 3.**

**8. The ______________ are the numbers of pieces of data that can represent the whole set of data. These common measures of central tendency are mean - median - and mode.**

**9. To _________ - write the mixed numbers as improper fractions. Replace the divisor with its reciprocal and multiply.**

**10. Two angles are ___________ if the sum of their measures is 90°.**

**11. A ___________ is a transformation that turns a line or shape around a fixed point.**

**12. A _________ is a special kind of bar graph that shows frequency of data.**

**13. Prime factorization can be written using ________ . For example - 2 x 2 x 3 = 2² x 3**

**14. The __________ of a solid is the total area of its exterior surfaces.**

**15. To ___________ - multiply the numerators and then multiply the denominators. Write the product in lowest terms.**

**16. The symbol ≤ is read as __________ .**

**17. If a figure can be divided in half by a line so that the two halves match each other - the figure is __________ .**

**18. To _____________ - express the mixed numbers as improper fractions - multiply - and simplify the results.**

**19. A diagram used to show the total number of possible outcomes in a probability experiment is called a _____________.**

**20. To __________ an algebraic expression means to substitute a value for the variables and apply the rules for order of operation.**

**21. Both addition and multiplication are __________ . This means that grouping addends or factors will not change the sum or product.**

**22. The _________ states that multiplying a sum by a number is the same as multiplying each addend by that number and then adding the two products. For example - 3(8 + 2) = (3 x 8) + (3 x 2).**

**23. The set of all possible outcomes is _____________.**

**24. ______________ are two events in which either one or the other must take place - but they cannot both happen at the same time. The sum of their probabilities is one.**

**25. The ____________ of a circle is always a little more than three times the diameter.**

**26. To add or subtract fractions with unlike denominators - you need to change the fractions to equivalent fractions with ____________ before you find the sum or difference.**

**27. When you add or subtract _________ that have the same or like denominators - you only add or subtract the numerators. The denominator stays the same.**

**28. The surface area of a __________ is the sum of the areas of two circles and a rectangle.**

**29. To add mixed numbers with unlike denominators - write equivalent fractions with a ___________ . Add the whole numbers and add the fractions.**

**30. In a__________ - an object flips over a line without changing its size or shape.**

**31. A _________ is a symbol - usually a letter - used to represent a number.**

**32. Instead of writing large numbers with all the zeros - you can use _________ . For example - 4 -250 -000 -000 = 4.25 x 10⁹.**

**33. The set of ________ consists of the positive whole numbers - zero - and the opposites of the positive whole numbers.**

**34. _________ integers are the same distance from zero in opposite directions on the number line.**

**35. The ________ is used to represent the ratio of distance on the map to the actual distance.**

**36. To ____________ - replace the divisor with its reciprocal and then multiply to get your answer.**

**37. Together - the x coordinate and y coordinate form an ___________.**

**38. Use number lines to ________ two decimals.**

**39. When two or more numbers are multiplied - each number is called a _________ .**

**40. To express a ______ as ________a - express the percent as a fraction with a denominator of 100 - then simplify.**

**41. Two angles are ___________ if the sum of their measures is 180°.**

**42. The symbol > is read as _________.**

**43. The symbol < is read as ________ .**

**44. The _________ of a circle is twice the length of the radius.**

**45. The opposite of a positive integer is a ________ .**

**46. Similar figures have the same shape but different sizes. The symbol ~ means _________ .**

**47. A _____________ is a system used to condense a set of data where the greatest place value of the data forms the stem and next greatest place value forms the leaves.**

**48. To add ____________ with common denominators - write the sum of the numerators over the common denominators. Then add the whole numbers.**

**49. To express a ______ as a _______ - rewrite the percent as a fraction with a denominator of 100 - and then express the fraction as a decimal.**

**50. The rules to follow when more than one operation is used are called the ___________.**