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HOMEWORK IF YOU CAN DO THESE YOU ARE A SUPER MATHEMATICIAN
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WARMUPS
1. 3XY + 4XY – 6X + 8X + 52. (2XY)(4XY) + (4XY)(7XY)3. 6X – 5X + 3X + 9Y – 3Y4. (3X)(3X)(3X)(3X)5. DRAW A FROG
HOMEWORK
• IF YOU CAN DO THESE YOU ARE A SUPER MATHEMATICIAN
The Distributive Property & Combining Like Terms
THE DISTRIBUTIVE PROPERTY
a(b + c) = ab + ac
(b + c)a = ba + ca
2(x + 5) 2(x) + 2(5) 2x + 10
(x + 5)2 (x)2 + (5)2 2x + 10
(1 + 5x)2 (1)2 + (5x)2 2 + 10x
y(1 + x) y(1) +y(x) y + xy
USING THE DISTRIBUTIVE PROPERTY
=
=
=
=
=
=
=
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The product of a and (b + c):
BACK
–(y – 5) = (y)(–1) + (–5)(–1)= –y + 5
–(7 – 3x) = (–1)(7) + (–1)(–3x)
= –7 + 3x
= –3 – 3x(–3)(1 + x)= (–3)(1) + (–3)(x)
Simplify.
Distribute the –3.Simplify.
Distribute the –1. Simplify.
–a = –1 • a
USING THE DISTRIBUTIVE PROPERTY
Remember that a factor must multiply each term of an expression.
Forgetting to distribute the negative sign when multiplying by a negative factor is a common error.
BACK
Like Terms are expressions that contain the same variable raised to the same power like 4mn and 7mn.
Combine like terms.
SIMPLIFYING BY COMBINING LIKE TERMS
4x2 + 2 + x2 - 6 =
11x +y The 8x and 3x are like terms and can be combined.
8x + 3x + y =
4x2 +1 x2 + 2 - 6 Group like terms.
= 5x2 - 4 BACK
yyxyx 5722
xx 12
x
yyy 512
y6
7
7
BACK
Combine like terms with parenthesis…
153238 ff
15968 ff
614 f
BACK
The Distributive Property & Combining Like Terms
BACK
HOMEWORK;
• IF YOU CAN DO THESE YOU ARE A SUPER MATHEMATICIAN
EXPRESSIONS
MONDAY - BRING CALCULATORS
REVIEW MATHEMATICS; TIME TRIAL FOUR
DESCRIBE: COEFFICIENT, VARIABLES, CONSTANT
REVIEW 1:
USE THE DISTRIBUTIVE PROPERTY TO REWRITE
4A ( – 3A2 + 5A3 )
REVIEW 2:
REWRITE THE EXPRESSION
6S2( - 5S2 + 2S2)
REVIEW 3:
SIMPLIFY:
5AR + 6AR2 + 7AR2 + 3AR
REVIEW 4:
SIMPLIFY:
5AR2 · 5AR2 · 5AR2 + 5AR
REVIEW 5:
SIMPLIFY:
(5XY2)(3XY2 - 2XY + X)
REVIEW 6:
COMBINE THE TERMS
5S + 3Y - G + 19 – S - G - 2
REVIEW 7 :SIMPLIFY (3AB · 4AB) + (2AB · 6AB)
REVIEW 8:
SIMPLIFY FOR A = 4, B = 5, C = 6
-4AB3C
REVIEW 9:
SIMPLIFY: (X2 Y)(X2Y)
REVIEW 10:
SIMPLIFY
(2AB2+2AB - 2A) – (3AB2 – 3AB + A)
REVIEW 11:
USE THE DISTRIBUTIVE PROPERTY
-B ( -A - B - C)
REVIEW 12:
SIMPLIFY
(AB) (AB) (AB) (AB) + (AB)
REVIEW 13:
SIMPLIFY
M + 36 + 48 - 2M
REVIEW 14:
4AB2 + 5AB2 - 3AB + 9AB2
REVIEW 15:
2G2 · 2G2 + 2G + 2G
REVIEW 16:
150 + 10R - 5R - 50
HOMEWORKCATTLE HANDOUT
• IF YOU CAN DO THESE YOU ARE A SUPER MATHEMATICIAN
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