ON TARGET 4NW OBJECTIVES

ON TARGET Which equation is true for ALL values? This is a calculator problem. One at a time, key each equation into the Y= feature in the calculator. Type 2 nd GRAPH to view the table. Do ALL ordered pairs match? Yes – this equation is the answer No – repeat process for next equation

ON TARGET Prime over the set of rational numbers Means the polynomial CANNOT be factored. Strategy #1 – try to factor each multiple choice answer. Strategy #2 – Use the discriminant from the Quadratic Formula. b 2 - 4ac = perfect square means polynomial CAN be factored. Therefore if the discriminant is NOT a perfect square the polynomials CANNOT be factored.

ON TARGET Prime Means polynomial CANNOT be factored.

ON TARGET NOT prime Means polynomial CAN be factored.

ON TARGET Line of Best Fit STAT 1.Edit Enter x-values into L1 Enter y-values into L2

ON TARGET Line of Best Fit STAT Right Arrow CALC 4. LinReg (ax+b) Enter 3 times Select equation with highest level of accuracy

ON TARGET Justify the expression is factorable Strategy #1: Factor the polynomial using the GCF and Bottom’s Up Method of factoring. Divide out the GCF. Factor the remaining trinomial using the Bottom’s Up Method.

ON TARGET Justify the expression is factorable Strategy #2: Multiply the factors for each multiple choice option. Which one matches the original polynomial?

ON TARGET Bottom’s Up Method of Factoring Step 1 – Multiply a x c Step 2 – Factor using the MA Method Step 3 – Divide by a Step 4 – Reduce fractions Step 5 – Move bottom up

ON TARGET Simplifying a fraction Break into multiple fractions How many terms in numerator? Then break into 3 fractions Simplify

ON TARGET Graphing Absolute Value Y= MATH Right arrow NUM 1. ABS(

ON TARGET Solving Quadratics by Graphing The roots (zeros, or solutions) of a quadratic function can be found by graphing the function and finding the x-intercepts. Where does the function cross the x-axis?

ON TARGET Name three ways to solve a quadratic equation 1.Graph 2.Solve by factoring 3.Solve using Quadratic Formula

ON TARGET Translated the vertex – describe the range Translate the vertex UP 2 units Describe the RANGE (y-values) Starts at 2 and increases All numbers greater than or equal to 2

ON TARGET What is the FIRST step in solving an absolute value equation or inequality? ISOLATE the absolute value!!!

ON TARGET When solving absolute value inequalities, > change to ______________ problems.

ON TARGET Absolute Value Inequalities ________ shade in between ________ shade out

ON TARGET Line of Best Fit STAT 1.Edit Enter x-values into L1 Enter y-values into L2

ON TARGET Line of Best Fit STAT Right Arrow CALC 4. LinReg (ax+b) Enter 3 times Select equation with highest level of accuracy

ON TARGET ADDITIONAL REMINDERS

ON TARGET Define PARALLEL Same slope Different y-intercepts Lines never intersect

ON TARGET Define PERPENDICULAR Slopes are opposite reciprocals Intersection forms right angles (90 degrees)

ON TARGET Two ways to describe an equation of a line. Slope y-intercept

ON TARGET Draw and label slope tree

ON TARGET First step in graphing an equation or inequality Solve for y

ON TARGET What happens to the inequality symbol when you divide both sides of an inequality by a negative number? The inequality flips

ON TARGET Domain x-values input

ON TARGET Range y-values output

ON TARGET Exponent Rules Multiply variables – ADD the exponents Divide the variables – SUBTRACT the exponents When you raise a power to a power – MULTIPLY exponents

ON TARGET Inequality symbol to stay within a budget <

ON TARGET CONTAINS ALL THE POINTS This is a calculator problem. One at a time, key each equation into the Y= feature in the calculator. Type 2 nd GRAPH to view the table. Do ALL ordered pairs match? Yes – this equation is the answer No – repeat process for next equation

ON TARGET The key word equivalent means to _______________

ON TARGET The steepest slope means _______________ or the _________________.

ON TARGET ABSOLUTE VALUE & INEQUALITY PROBLEMS NOTES

ON TARGET Graphing Linear Inequalities Solid line - Dashed line - Solve for y first! Shade above - > > Shade below - < <

ON TARGET Inequality Word Problems Maximum means at most – which inequality symbol is that? Match the coefficient to the correct variable.

ON TARGET Invalid Equations The absolute value of a number or expression can never be negative. Example: abs(x – 1) = -2

ON TARGET Solving and Graphing Absolute Value Inequalities Isolate the absolute value. Break into two inequalities. Sign is the same on first inequality. Reverse sign on the opposite case. Graph on the number line. > OR – shade out < AND – shaded in between

ON TARGET Solving and Graphing Absolute Value Inequalities GreatOR than is an OR statement Shade out Less thAND is an AND statement Shade in between

ON TARGET Empty Set Abs (x – 1) < -4 Absolute value cannot be less than a negative number. Empty set – no solution

ON TARGET All real numbers Abs (x + 5) > - 8 Absolute value is ALWAYS greater than a negative number. All real numbers.

ON TARGET OTHER FACTORING NOTES

ON TARGET Justification a polynomial is NOT prime Means it CAN be factored. Strategy #1 – Factor the polynomial Strategy #2 – Multiply the factors together for each multiple choice answer to find the correct factored form.

ON TARGET Prime over the set of rational numbers Means the polynomial CANNOT be factored. Strategy #1 – try to factor each multiple choice answer. Strategy #2 – Use the discriminant from the Quadratic Formula. b 2 - 4ac = perfect square means polynomial CAN be factored. Therefore if the discriminant is NOT a perfect square the polynomials CANNOT be factored.

ON TARGET CANNOT be factored Strategy #1 – try to factor each multiple choice answer. Strategy #2 – Use the discriminant from the Quadratic Formula. b 2 - 4ac = perfect square means polynomial CAN be factored. Therefore if the discriminant is NOT a perfect square the polynomials CANNOT be factored.

ON TARGET Which pair could represent the dimensions of the rectangle? Strategy #1 – Factor the polynomial Strategy #2 – FOIL each multiple choice answer to find the correct factored form.

ON TARGET Which of the following expressions shows the FACTORS of the polynomial? Strategy #1: Factor the polynomial using the GCF and MA Method of factoring. Divide out the GCF. Factor the remaining trinomial using the MA Method.

ON TARGET Which of the following expressions shows the FACTORS of the polynomial? Strategy #2: Multiply the factors for each multiple choice option. Which one matches the original polynomial?