#20 in packet: Solve for x and y. Since y is isolated in equation 1, we can use the substitution method. Substitute 3x-5 from the first equation in for.

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Presentation transcript:

#20 in packet: Solve for x and y. Since y is isolated in equation 1, we can use the substitution method. Substitute 3x-5 from the first equation in for y in the second. Then solve for x. Use this value to find y. #20 in packet: Solve for x and y. Since y is isolated in equation 1, we can use the substitution method. Substitute 3x-5 from the first equation in for y in the second. Then solve for x. Use this value to find y. SOLVING A SYSTEM OF EQUATIONS WITH 2 VARIABLES

FACTORING QUADRATICS How do you check your answer?

NICE WORK, MATHLETES!

GEOMETRY PRETEST REVIEW Day 2 Reviewing skills needed to succeed in Geometry.

PERIMETER AND AREA  Perimeter: The sum of the lengths of the sides of a polygon (called circumference for circles)  Units of measurement: in, yd, ft, miles, meters, etc...  Area: The number of square units a polygon encloses  Units of measurement: in 2, cm 2, mi 2, etc…

CIRCLES Radius: r Diameter: d =2r Circumference is the distance around a circle. Both the circumference and area formula require you to find the radius!

AREA OF A TRIANGLE Area = b h

PYTHAGOREAN THEOREM  Used to find the missing side length of a right triangle.  MUST be used on a right triangle  c is the hypotenuse, a and b are the legs of the right triangle a 2 + b 2 = c 2

LET’S PRACTICE! Try Problems #1-5 with the person next to you. I will select some of you to put your answers on the board. Be ready!

SIMPLIFYING RADICALS A radical is in simplest form when the number under the radical sign has no perfect square factors other than 1.

VOCABULARY

EXAMPLES 2. A BABC 1. Read “segment AB” or “segment BA” Read “Ray AB” or “Ray AC”. DO NOT write Ray BA or Ray CA. Must name endpoint first!!

VOCABULARY (Please note: In Geometry, it is important to use the correct notations!!) Notation:Examples: How you name a line: Use any two points on the line with a line above it, or by a single lower case letter. How you name a segment: Use the 2 endpoints with a straight line above. How you name a ray: Endpoint must be first, then any other point on the ray; write an arrow pointing to the right above What are “opposite rays”?

PLANES  A flat surface that has no thickness  Contains many lines  Extends without end in the direction of all its lines  Named by a single capital letter OR by AT LEAST 3 POINTS NOT ON THE SAME LINE List 2 ways to name the plane shown above. 1.____________ 2.____________

PAIRS OF ANGLES Complementary angles: 2 angles that add up to 90˚ Supplementary angles: 2 angles that add up to 180˚

CLASSIFYING TRIANGLES…