Foundations for Algebra Chapter 1 Foundations for Algebra

LT1 - Write Expressions Write an algebraic for the following verbal statements: 3 more than twice a number x 9 less than the quotient of 6 and a number y the product of 4 and the sum of a number z and 7

Anatomy of a Term coefficient exponent 5x4 base

LT2 - Order of Operations G - Grouping symbols E - Exponents MD - Multiply and divide (from left to right) AS - Add and subtract (from left to right)

LT2 - Order of Operations Evaluate the expression

LT2 - Order of Operations Evaluate if x = 5 and y = 2

LT3 - Estimate a Square Root Estimate to the nearest whole number

Warmup - Estimate Estimate to the nearest integer

LT4 - Classify Real Numbers Rational Number any number that can be expressed as the quotient of two integers Natural Numbers {1, 2, 3,...} Whole Numbers {0, 1, 2,...} Integers {..., -2, -1, 0, 1, 2,...} Irrational Number a number that can’t be expressed rationally Does not terminate Does not repeat

LT4 - Classify Real Numbers

LT5&6 - Order and Graph Real #’s Graph and order the following real numbers from least to greatest:

LT7 - Properties of Real #’s

LT7 - Properties of Real #’s

LT8 - Simplify an Expression Simplify the following expressions

LT9 - Add/Subtract Real #’s

LT9 - Add/Subtract Real #’s Evaluate each expression 12 + 15 -12 - 15

LT9 - Add/Subtract Real #’s Evaluate each expression 12 - 15 -12 + 15

LT9 - Add/Subtract Real #’s Evaluate each expression -2.95 + 5.76 - 88.6 1/3 - 2/5 + 14/30

LT9 - Multiply Real #’s

LT9 - Divide Real #’s

LT9 - Multiply/Divide Real #’s Sign Positive Negative + -

LT9 - Multiply/Divide Real #’s Evaluate each expression (11)(-5) (-4)(3)(-6) (-7)(-15)(-2)

LT9 - Inverses

LT10 - Distributive Property Simplify using the Distributive Property 3(3 + 4) 2(x + 7) -4(2 - 8) 2x(3x - 2y)

Warmup - Simplify Simplify the following expressions 3(x + 2 - 5y) - 2(x - y) -(-x - y - z) - (-x - y - z) 3x2y + 2xy + 3xy2 - 2yx - 3x2y - 3xy2

Warmup - Always, Sometimes, Never x - 2 is greater than x 7 + x = x + 7 13 - x = x - 13 Absolute value of x is greater than x 100 duck-sized horses defeat 1 horse-sized duck in battle

LT11 - Solutions to 1 Variable Determine whether the given value satisfies the equation 3x + 7 - (2x + 5) = 15, x = 13 -¼(6x + 20) = -7, x = 2 x3 - 13 = -5, x = -2

LT12 - Solutions to 2 Variables Determine whether the given coordinate pair satisfies the equation y = 2x + 7, (-14, -35) 3x + 2y = 6, (6, -6) y - 4 = ⅔(x + 7), (-13, 0)

LT13 - Relationships Represent the following relationship as an equation, a table, and a graph Three more than twice a number x is equal to y

LT13 - Relationships Three more than twice a number x is equal to y Equation:

LT13 - Relationships Three more than twice a number x is equal to y Table: x y

LT13 - Relationships Three more than twice a number x is equal to y Graph:

LT13 - Relationships Rule of Four Verbal Equation Three more than twice a number x is equal to y 2x + 3 = y Table Graph x y -2 -1 1 3 5 2 7