1. NO equal sign
        1. TIME
          1. ANSWERS

KEY WORDS

 

 

 

 
 
 
 
 
   

 
 
 
 
 
KNOW THE FOLLOWING TERMS!
 

VARIABLE   –a letter or symbol that is used to represent a number
 
FOR EXAMPLE:        3 t = 21
 
COEFFICIENT   — a number that is used in a formula
 
FOR EXAMPLE:        3 t = 21
 
CONSTANT   — a number within a formula that DOES NOT change
 
FOR EXAMPLE: P = 2(L) + 2(W)
                                ***the 2’s are the constants
 
ALGEBRAIC EXPRESSION   — includes numbers and letters but


NO equal sign



NO equal sign
 
FOR EXAMPLE:        5 (y + 2) – 10
 
ALGEBRAIC EQUATION   — an expression which includes an
equal sign
 
FOR EXAMPLE:          8 + c— 2 = 15
 
NUMERICAL EXPRESSIONS   — contains ONLY numbers; NO
letters
 
        FOR EXAMPLE:           9 + 4 x 7
 
 
 

FORMULAS TO REMEMBER:
 
RATE (SAME AS SPEED) - RATE = DISTANCE


TIME



TIME
 

TIME ( HOW LONG IT TAKES TO GET SOMEWHERE ) - TIME = DISTANCE
                             RATE
 
DISTANCE (HOW FAR AWAY SOMETHING IS ) - DISTANCE = TIME X RATE
 
 
REMEMBER:
      SUBTRACTION is the opposite process of ADDITION
 
      DIVISION is the opposite process of MULTIPLICATION
 
WHEN SOLVING EQUATIONS:
 
1.)  FIRST, FIND THE SIDE WITH THE VARIABLE.
BEGIN ON THAT SIDE!
 
2.)  IF THERE IS A NUMBER SEPARATE FROM THE VARIABLE, BUT
ON THE SAME SIDE OF THE EQUAL SIGN, START WITH IT!
 
3.)  REMEMBER – WHATEVER PROCESS YOU DO TO ONE SIDE OF
THE EQUAL SIGN, MUST BE DONE TO THE OTHER SIDE!
 
4.)  IF THE VARIABLE IS MULTIPLIED BY A FRACTION, YOU NEED TO DIVIDE.
            TO DIVIDE FRACTIONS, YOU NEED TO :
 
1.)  MULTIPLY BY THE FRACTION’S RECIPROCAL
(FLIP THE FRACTION)
2.)   PUT THE NUMBER ON THE OTHER SIDE OF THE EQUAL SIDE OVER ONE
3.)  MULTIPLY STRAIGHT ACROSS / CANCEL IF POSSIBLE

CAN YOU DO THESE PRACTICE PROBLEMS!
 

1.)   An airplane travels at a rate (speed) of 250 miles per hour. How long would it take the plane to travel 2,000 miles? (USE T= D)

                            R


                                        R
 
2.)   Evaluate the following:
N + 7K – 5 when N = 3      4 (N + 3Y) when N = 5 and
and K = 2 1/2           Y = 2
 
3.)   Write an algebraic expression:
a.) one-half the product of 2 and 4   b) 3 less than a number X
 
c.) the quotient of 20 and a number N d.) 7 times a number N plus 5
 
4.)   SOLVE EACH EQUATION AND CHECK!
a.) X – 8 = 40      b.) 3N = 30    c.) 3X – 6 = 15
 
 
d.) – 3 = 4X + 5    e.) ½ X = 16    f.) 3N – 2.5 = 6.5
 
 
5.)   SOLVE EACH EQUATION AND GRAPH!
a.) 2N + 5 < 19         b.) –6X – 9 > 27
         

ANSWERS


ANSWERS
 

1.)   T = D            2.) N + 7K – 5     (N + 3Y)
R         3 + 7 x 2.5 – 5     (5 + 3 x 2)
T = 2000        3 + 17.5 – 5     (5 + 6)
250         20.5 – 5       11
T = 8 hours         15.5
 
3a.) 2 x 4     3b.) X – 3     3c.) 20     3d.) 7 (N + 5)
2   N

4a.) X – 8 = 40     4b.) 3N = 30      4c.) 3X – 6 = 15
    + 8 + 8     3 3     +6 +6
  X = 48       N = 10                   3X = 21
3 3
                                                                                                                        X = 7
 
4d.) -3 = 4X + 5 4e.) ½ X = 16   4f.) 3N – 2.5 = 6.5
         -5 -5 2/1 x ½ X = 16 x 2/1 + 2.5 +2.5
           -8 = 4X                  X = 32 3N = 9
4 4 3 3
-2 = X                 N = 3

 5 a.) 2N + 5 < 19   5b.) -6 X – 9 > 27
          - 5 -5                                                         + 9 +9
                       2N < 14                                                           -6 X > 36  
2 2 -6 -6
N < 7 X < -6
 
  _________________ __________________  
6 7 8 -7 -6 -5
 
 
 
 
 
 
    MATH

      STUDY
     GUIDE!
 
(EQUATIONS, EXPRESSIONS AND INEQUALITIES!)
 
 
FOR: Mrs. Goodhue’s test on Wednesday, Oct. 20th.
 

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