#1. Know your basic arithmetic facts :
You should be able to add, subtract, multiply, or divide integers from zero to 12 quickly.
If you need practice with this, see your math teacher or go to:
You should know when to get a common denominator, when you need the reciprocal, and how to do all 4 basic operations with fractions. If you need help with this, see your math teacher or go to :
Evaluate a numerical expression like : 4 - 24 / 2 + 6 ^2
using the correct order of operations. P E MD AS
Evaluate a variable expression like : 4x^2 + 3x -15 if x = -3
Use basic formulas like I = PRT and D = RT to help solve problems.
Apply unit analysis to verify the operations in solving such problems.
How long would it take Biff, bicycling at 8 meters per second to travel 1 Kilometer?
Verify a solution to an equation or inequality.
Is x = -2 a solution of 3x - 5 < -10 ? (yes)
Functions and Relations: Complete an input:output table.
Identify the Domain and the Range, Determine if an input:output table represents a Function or just a Relation.
More errors on tests and quizzes are made because students try to take short cuts, without writing all of the work. Writing all of the work and writing it neatly actually will save ou time. You will be able to see what you are doing without having to keep so many numbers in you head.
Some students write too fast or sloppily for anyone , even themselves, to find all of the negative signs.
Add, Subtract, Multiply, and Divide with Integers, Fractions, and Decimals. 2/3 divided by 7/9
Find the Absolute Value of a number and of an Expression.
| -12 -4 |
Simplify a variable expression by using the distributive property and combining like terms. Simplify 4x - 3(2x - 6) - 7
Differentiate between probability and odds, and be able to calculate each for a single event. If a fair die is tossed 1 time, what is the probability that it will land on 4 ? What are the odds that it will land on 4 ?
to think of all of the strategies that you have ever learned that will help you solve a problem.
This is not cookie-cutter math. You will not asked to solve the exact type of problem which may have been used as an example in class. You may have to use more thatn one strategy to solve some problems. Some strategies are better than others, don't get stuck on a single strategy or you may find that it is taking you way too long to complete some of the work.
Solve equations, showing all of your work. Write down each step as you solve the equation so that you can show that the equation remains balanced.
Solve the equations with one variable by performing the opposite operation with numbers that are in operation with the variable.
Opposite operations need to be done in the opposite order of PEMDAS.
to solve 3x + 5 = 17 the "x" is multiplied by 3 and the term
-5 -5 3x has 5 added to it.
3x = 12 To solve, do the opposite of adding 5
/3 /3 then do the opposite of multiply by 3
x = 4
Simplify each side of a complex equation
before you start to solve it.
-4y - (5y+6) = -7y + 3 is difficult to solve
-9y - 6 = -7y + 3 is easier to solve because it is simplified.
Use UNIT ANALYSIS to help set up and solve word problems.
RxT=D because mi/hr x hr. = mi.
Use formulas and solve for a variable.
Such as: in P = 2L + 2W solve for W without knowing P or L
W = (P - 2L)
2