Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
GEOMETRY PRETEST REVIEW Reviewing skills needed to succeed in Geometry. Day 1 REDUCING FRACTIONS 12 3 4 4 15 3 5 5 Look for common factors, and cancel them out to 1. SIMPLIFYING EXPRESSIONS What does it mean to simplify? Look out for the distributive property Combine like terms Example: Simplify. 2𝑥 − 3 4 + 8𝑥 5 STEPS FOR SUCCESSFUL EQUATION SOLVING Step 1: Perform any distribution; look for ( ). Step 2: Combine like terms on each side of = sign. Step 3: Add or subtract variable terms to get all variables on the same side of the = sign. Step 4: Isolate the variable term by subtracting (-) or adding (+) the constant (number with no variable) from each side of the equation. Step 5: Isolate the variable by dividing both sides of the equation by the coefficient of the variable term. Example: Solve. 2𝑥 − 4 + 10𝑥 = 12 SOLVING PROPORTIONS oAn equation that shows two 16 4 equal ratios, such as = 12 3 oUse the Cross Product Property to solve!! a c b d ad = bc Example: Solve. 3 2 = 𝑥−5 3 THE COORDINATE PLANE Has 4 quadrants The origin is at (0,0) Coordinates are 𝑥, 𝑦 . 𝑥 is horizontal coordinate 𝑦 is vertical coordinate SLOPE Slope measures how steep a line is. There are 4 kinds of slope. To find the slope between 2 points on a line: y2 y1 m x2 x1 SLOPE Parallel lines have the same slope. Perpendicular lines have opposite, reciprocal slopes. Example: Find the slope of the line shown below: FORMS OF EQUATIONS OF A LINE We will use this form most often in this course. WRITING THE EQUATION OF A LINE Need a point on the line and the slope of the line If given 2 points, find the slope first, then use either point Use algebra to move back and forth between forms of a line Example: Write the equation in slope intercept form of the line that passes through point (-2, 1) and has a slope of 3. GRAPHING A LINE USING INTERCEPTS Can graph using intercepts or in slope-intercept form. A x-intercept is where a line crosses the x-axis. To find it algebraically you plug in 0 for y. A y-intercept is where a line crosses the y-axis. To find it algebraically you plug in 0 for x. GRAPHING A LINE USING 𝑦 = 𝑚𝑥 + 𝑏 To graph in slope-intercept (𝑦 = 𝑚𝑥 + 𝑏 ): Graph the y-intercept Use slope to graph other points Example: Graph the equation: 𝑦 = 2𝑥 + 1 y intercept: _____ Slope: ______