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1.10 Quiz Review V8
1. Be able to arrange numbers from smallest to largest. This will include fractions,
decimals, square roots, exponents, etc. Remember that the easiest way to compare
numbers is to turn all of them into decimals.
4.5, 2 56 , 62 ,  , 42, 3.2
2. Be able to evaluate an expression following the order of operations that contains
different types of numbers. Round answer to the nearest hundredth.
5  4  2.32 
4
3
3. Given a number, be able to classify it by any of the following ways. Remember, each
number may fit into more than one number type. (Possible Answers: Whole Numbers,
Natural (Counting) Numbers, Integers, Rational Numbers, Irrational Numbers, Real
Numbers, Imaginary Numbers.)
a. 5.121212
b. 49
4. Be able to name the property that justifies each of the following steps in this equation.
3( x  4)  12  10
3( x  4)  2
3 x  12  2
3 x  10
x  10 / 3
5. Be able to write out an example of each of the algebraic properties.
6. Be able to explain the difference between the types of numbers and then be able to
give an example of each. For example, what is the difference between a whole number
and an integer. Give an example of each.
7. Make sure that you are able to understand the process for order of operations. If asked
to find a mistake, be able to determine where one was made. You will be asked. 
8. Be able to simplify expressions following the order of operations.
a.
25  93
b. 3  42 
6  14
2
c. 32
d. (3)2
9. Translate the following into algebraic symbols:
“seventeen less than three times the sum of two consecutive integers”
10. Solve the following equation. Show all work.
3
x  6  10
4
11. Solve the following equation. Show all work.
6  4(2 x  4)  30
12. Solve the following equation. Show all work.
2(6 – 3x) = -12x – 6
13. Graph the following solution sets:
a. {x| -3 < x ≤ 4}
b. {x| x ≤ 5}
c. {x| x > -1}
d. {x| x<2 OR x≥7}
14. Solve |5-3x| = 13
15. Explain why |5-3x| < 13 splits into two cases and write the two resulting lines.
Answers:
1. 62 , 3.2, 2 56 ,  , 4.5, 42
2. -60.11
3. a. Real and Rational b. Real, Natural, Integer, Whole, Rational
4. Subtraction, Distributive, Addition, Division
5. Practice on your own
6. A whole number includes zero and all counting number (0, 1, 2, 3, 4). An integer
includes all positive and negative whole numbers, including zero (-3, -2, -1, 0, 1,
2, 3)
7. See Lesson 1.06
8. a. 734
9.
b.-11
c.-9
d.9
3(x + x+1) – 17
64
3
5
11. x  
2
12. x = -3
10. x 
13. Here are the descriptions of the graphs. You should be able to graph them.
a. Open circle on -3, closed circle on 4, shaded between.
b. Closed circle on 5, shaded to the left
c. Open circle on -1, shaded to the right
d. Open circle on 2, closed circle on 7. Shaded left of 2 and right of 7.
14. x = -8/3 or x = 6
15. Refer to lesson 1.10a Example 1 for this one. You will show the steps to solve
and explain why it splits. 