Post on 17-Jan-2018
description
Test 3
Solve VS Simplify
• to find the set of values that make a statement true
Last week3x + 2 = 11
3x = 9 x = 3
• to perform all indicated operations
NOW 3x +2 – x + 11 3x – x + 2 + 11 2x + 13
Equation VS Expression
• A mathematical sentence that shows that two expressions are equivalent
Last week3x + 2 = 11 x = 3
• A mathematical phrase that contains operations, numbers, and/or variables
NOW 6y z 4 3x +2 – x + 11 2x + 13
Expression VS Evaluate
• to find the value of an algebraic expression by substituting a number for each variable and simplifying
Next week2x + 13, when x = -32(-3) + 13= -6 + 13 = 7
• A mathematical phrase that contains operations, numbers, and/or variables
NOW 6y z 4 3x +2 – x + 11 2x + 13
Simplify the ExpressionsCombine Like Terms, Add the Coefficients
3m + 4m Try these
5n - 2n
-7p + 11p
Simplify the ExpressionsCombine Like Terms, Add the Coefficients
3m + 4m 7m
5n - 2n 3n-7p + 11p 4p
3a² + 4a²
5n³ - 2n³
-7x³y² + 11x³y²
Simplify the ExpressionsCombine Like Terms, Add the Coefficients
3m + 4m 7m
5n - 2n 3n-7p + 11p 4p
3a² + 4a² 7a²5n³ - 2n³ 3n³-7x³y² + 11x³y² 4x³y²
In Review
• Associative Property changes the grouping
• Property changes the order
• Distributive Property multiplies through a parenthesis containing addition or subtraction
You ASSOCIATE with your friends in GROUPS
Commute means to move or drive (moves to a different spot)
Applying Properties
In this order… IF NEEDEDDistributiveCommutativeAssociativeThen simplify
DistributiveCommutativeAssociativeThen simplify
3(x + 4) – 23x + 12 - 2Not needed3x + (12 – 2)3x + 10
DistributiveCommutativeAssociativeThen simplify
5(x - 3) - 2(x – 7)5x - 15 - 2x + 145x – 2x - 15 + 14(5x – 2x)+(-15 + 14)
3x - 1
Please correct #1-4 at this time
Did you get these answers now?
1) 4r
2) 22y²
3) 5x + 39
4) 2x + 38y
Perimeter
A rectangular desktop has a length of 3(d+2) and width of d-7. Write an EXPRESSION for the perimeter.
Perimeter
A rectangular desktop has a length of 3(d+2) and width of d-7. Write an EXPRESSION for the perimeter.
3(d+2)
d-7
Write an EXPRESSION for the perimeter. Distribute the 3 properly.
3d + 6
d-7 d-7
3d + 6
Write an EXPRESSION for the perimeter and simplify…
3d + 6
d-7 d-7
3d + 6
3d + 6 + 3d + 6 + d - 7 + d - 7 =
Write an EXPRESSION for the perimeter and simplify…
3d + 6
d-7 d-7
3d + 6
3d + 6 + 3d + 6 + d - 7 + d - 7 = 8d - 2
Reciprocals, so last week
• Applying to solutions
:144
2 55 2
Examples
is the reciprocal of
is the reciprocal of
1 53 154 2
24,5
14 3 4 124
2 5 215 65 2 5
x OR x
multiply both sides by
x x
x x
2 Step Equation
Add or subtract the constant…3x - 7 = 20 8 + 2y = 24 50 = 17x - 1
2 Step Equation
Add or subtract the constant…3x - 7 = 20 8 + 2y = 24 50 = 17z – 1
Divide by Coefficient3x = 27 2y = 16 51 = 17z
2 Step Equation
Add or subtract the constant…3x - 7 = 20 8 + 2y = 24 50 = 17z – 1
Divide by Coefficient3x = 27 2y = 16 51 = 17z
2 Step EquationAdd or subtract the constant…3x - 7 = 20 8 + 2y = 24 50 = 17z – 1
Divide by Coefficient3x = 27 2y = 16 51 = 17z
x = 9 y = 8 3 = z
Can someone remind everyone what is the trick to LESS THAN (Not Mia)
Write an equation for…Mary is 5 years less than Jean
Can someone remind everyone what is the trick to LESS THAN (Not Mia)
Write an equation for…Mary is 5 years less than Jean
M = J - 5Less than means subtract from