Download I. The real number system 1. Draw the real number system. Label

I.
The real number system
1. Draw the real number system. Label each section with N, W, Z, Q, or I (give 4 examples
for each section. Please include terminating decimals, repeating decimals, and never
ending decimals).
2. Please define all 5 sections of the real number system.
II.
Order of operation
3. Basic “PEMDAS”
a. What does “PEMDAS” stand for
b. [ 5÷(8 – 6)]
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ହ
4. “PEMDAS” with substitution
a. What does is mean by order of operation with substitution?
b. 3x2 + (2y + z3) if x = 4, y = 5, and z = 3
5. Order of operations with absolute value
a. Define absolute value and tell why it is not a negative number.
b. Where does the absolute value come in?
c. – 3|6 – 7| + |10÷(-5)|
III.
Equations
6. Proportional with distributive property:
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଺
a.
=
ହ
b.
ଵ଴
௫ାସ
଺
=2
7. Rational equations - clearing the denominator:
a. Describe what you need to do to achieve this concept
ଵ
ଷ
ହ
ହ
b. + y = + y
ସ
଼
ସ
଼
8. Multi-step equations with dist. Property:
a. What is the dist. Property?
b. 6(n + 5) = 66
9. Multi-step equations with combining like terms:
a. What are like terms and how do you combine like terms?
b. 7c + 12 + 4c = 78
10.Multi-step equations with dist. Property and combining like terms:
a. When both dist. Prop. and like terms are in one problem, which do you do first?
b. 5(x + 8) – 7 = 103
11.Multi-step equations with variables on both sides:
a. Describe what you need to achieve in order to solve equations with variables on
both sides.
b. 2m – 13 = - 8m + 27
12.Literal equations:
a. u = vw + z, for v
b. fg – 9h = 10j, for g
c. -14n + q = rt – 4n, for n
IV.
Systems of equations
13. Name the 3 types of solutions and a picture for each solution
14.Solve by graphing:
a. Use the graph to the right:
y = -3x + 10
y=x–2
b. What does the solution mean?
15. Solve with Substitution:
a. Describe what you are to do for this concept.
b. x = - 2y + 6
3x – 4y = 28
16. Elimination – by adding:
a. Describe what you are to do for elimination by adding
b. 4x + 6y = 32
3x – 6y = 3
17. Elimination – by subtract:
a. Describe what you are to do for elimination by substitution
b. 2t + 5r = 6
2t + 9r = 22
18. Elimination – by multiply one of the equations:
a. Describe what you are to do for elimination by multiplication for one equation.
b. 5x + 6y = -8
2x + 3y = -5