ALGEBRAIC GAME

MECHANICS:• Suppose numbers are assigned to

letters of the alphabet as followsA=1, B=2, C=3, D=4, E=5, and so on, up to Z=26 using this, you will find the value of a word/name by(any operations) to get the values of its digits.

MARY= M + A + R + Y

= 13 + 1 + 18 + 25 = 57

• In this game we have 2 rounds to play, EASY round compose of 1 word, and AVERAGE compose of 2 words.

EASY ROUND

A=1, B=2, C=3, D=4, E=5, F=6, G=7, H=8,

I=9, J=10, K=11, L=12, M=13, N=14, O=15,

P=16, Q=17, R=18, S=19, T=20, U=21, V=22,

W=23, X=24, Y=25, Z=26

EQUALITY

E+Q+U+A+L+I+T+Y = 5+17+21+1+12+9+20+25

= 110

AVERAGE ROUND

A=1, B=2, C=3, D=4, E=5, F=6, G=7, H=8,

I=9, J=10, K=11, L=12, M=13, N=14, O=15,

P=16, Q=17, R=18, S=19, T=20, U=21, V=22,

W=23, X=24, Y=25, Z=26

SUM

(S-U-M)2

= (19)-(21)-(13)

= (-15)2

= 225

A=1, B=2, C=3, D=4, E=5, F=6, G=7, H=8,I=9, J=10, K=11, L=12, M=13, N=14, O=15, P=16,

Q=17, R=18, S=19, T=20, U=21, V=22, W=23,

X=24, Y=25, Z=26

VARIABLE

V-A-R-I-A-B-L-E

= (22)-(1)-(18)-(9)-(1)-(2)-(12) -(5)

= -26

EVALUATINGALGEBRAIC

EXPRESSIONS

Algebraic Expressions a statement containing one or more terms connected by plus or minus signs.

Examples:

1. 4x + 3

2. 5x2 – 3x + 4

Two steps involved in evaluating an algebraic expression:

1. Replacing the variable by the given number value (substitution);

4x + 3 X = 2

4(2) + 3

Substitution Property of Equality If two quantities are equal, then one quantity can be replaced by the other.

In symbols: For all numbers a and b, if a=b, then a may be replaced by b.”

2. Performing the indicated arithmetic following the order of operations.

- First, simplify expressions within grouping symbols.

- Then simplify powers

- Then simplify products and quotients in order from left to right

- Then simplify sums and differences in order form left to right.

Example:

• 3x2 – 5 x = 4

3(4)2 - 53(16) - 5

48 - 543

Activity:• Evaluate the polynomial 6x2 + 3 when:

a. x=0 b. x=3c. x= -4d. x= -1/2

QUIZ:Find the value of the following Algebraic Expressions using the indicated constants. (2pts. Each)

1. 9a + 3; a=5 2. 15a – 24b +15; a=3, b=2 3. (x+3) (x-5); x=25 4. (50a) (2-9); a=4 5. 4a ÷ (13 – 9b); a=12 and

b=1/3

AssignmentsAnswer to your notebook.1. Write the Steps in adding polynomials.2. Answer this following to your notebook: a. (-6 x -3) + (3 x -9) b. (3x² + 5x -9) + (-3 x + 4) c. (4x² + 3x +6) + (6x² + 3x -7) d. (2ab² + 2a³b - 4ab) + (4a²b - 3ab - 2a²b) e. (5x² + 10xy + 4y²) + (7x² + 8xy - 6y²)

Reference: Grade 7 E-math k-12 edition pages 169-171