Test 3. Solve VS Simplify to find the set of values that make a statement true Last week 3x + 2 = 11 3x = 9 x = 3 to perform all indicated operations.

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Presentation transcript:

Test 3

Solve VS Simplify to find the set of values that make a statement true Last week 3x + 2 = 11 3x = 9 x = 3 to perform all indicated operations NOW 3x +2 – x x – x x + 13

Equation VS Expression A mathematical sentence that shows that two expressions are equivalent Last week 3x + 2 = 11 x = 3 A mathematical phrase that contains operations, numbers, and/or variables NOW 6y z 4 3x +2 – x x + 13

Expression VS Evaluate to find the value of an algebraic expression by substituting a number for each variable and simplifying Next week 2x + 13, when x = -3 2(-3) + 13= = 7 A mathematical phrase that contains operations, numbers, and/or variables NOW 6y z 4 3x +2 – x x + 13

Simplify the Expressions Combine Like Terms, Add the Coefficients 3m + 4m Try these 5n - 2n -7p + 11p

Simplify the Expressions Combine Like Terms, Add the Coefficients 3m + 4m 7m 5n - 2n 3n -7p + 11p 4p 3a² + 4a² 5n³ - 2n³ -7x³y² + 11x³y²

Simplify the Expressions Combine Like Terms, Add the Coefficients 3m + 4m 7m 5n - 2n 3n -7p + 11p 4p 3a² + 4a² 7a² 5n³ - 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 NEEDED Distributive Commutative Associative Then simplify

Distributive Commutative Associative Then simplify 3(x + 4) – 2 3x Not needed 3x + (12 – 2) 3x + 10

Distributive Commutative Associative Then simplify 5(x - 3) - 2(x – 7) 5x x x – 2x (5x – 2x)+( ) 3x - 1

Please correct #1-4 at this time

Did you get these answers now? 1)4r 2)22y² 3) 5x )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 d d d - 7 =

Write an EXPRESSION for the perimeter and simplify… 3d + 6 d-7 d-7 3d + 6 3d d d d - 7 = 8d - 2

Reciprocals, so last week Applying to solutions

2 Step Equation Add or subtract the constant… 3x - 7 = y = = 17x - 1

2 Step Equation Add or subtract the constant… 3x - 7 = y = = 17z – 1 Divide by Coefficient 3x = 27 2y = = 17z

2 Step Equation Add or subtract the constant… 3x - 7 = y = = 17z – 1 Divide by Coefficient 3x = 27 2y = = 17z

2 Step Equation Add or subtract the constant… 3x - 7 = y = = 17z – 1 Divide by Coefficient 3x = 27 2y = = 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 - 5 Less than means subtract from