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Math EOG for Parents Grade 8 4³x4⁻¹x5² 4 -3 0 4 x5 x5 Your child knows! When 8 is added to the number that is produced by doubling the number x, the result is equal to 8 times the number that is 5 less than x. What is the value of x? Your child knows! Kyle is a salesman. His monthly earnings include a fixed monthly salary and a commission that is a fixed percentage of his total sales for the month. • Kyle’s total sales for the month of January were $15,000, and his total earnings for that month were $2,550. • Kyle’s total sales for the month of February were $25,000, and his total earnings for that month were $3,050. What is Kyle’s fixed monthly salary in dollars? Your child knows! Grade 8 Domains Expressions and equations Functions Geometry Statistics and Probability The Number System Expressions and Equations 27-32% Example problem A system of equations is shown below. What is the x-value in the solution to this system? 2x+4y=0 Y=1/2x-3 Functions 22-27% Example problem Beginning in 2000, a sports team increased its ticket price by a constant amount each year until 2010. • A ticket cost $48 in 2005. • A ticket cost $55.50 in 2008. How much did a ticket cost in 2000? Geometry 20-25% Example problem A polygon that has 27 sides contains how many total degrees? Statistics and Probability 15-20% Example problem Which scenario would most likely show a negative correlation between the variables? A) the height of a tree, x, and the amount of time it takes to climb to the top of the tree, y B) the number of people in the mall, x, and the number of cars in the parking lot, y C) miles traveled in a car, x, and the amount of gasoline used, y D) time spent reading a book, x, and the number of pages left to read, y The Number System 2-7% Example problem What is the sum of all of the integers between √19 and the √77 The 8th grade EOG has 60 questions to be done in an estimated 180 minutes. More time is allowed to those who have not finished, up to a maximum of 240 minutes. The EOG consists of 4-choice multiple choice questions and gridded response questions. The multiple choice part of the EOG will comprise approximately 80% of the test while the gridded response part will be the other 20%. Gridded response questions require not only a correct answer but a proper gridding in the grids provided by the State of North Carolina. Correct answers must be carefully gridded for the students to receive credit. The 8th grade EOG contains questions that are both calculator active and calculator inactive. Approximately one third to one half of the EOG will be calculator inactive, the rest calculator active. How can you help your child? http://www.dpi.state.nc. us/docs/accountability/testing/releasedforms/g8mathpp.pdf http://www.dpi.state.nc.us/accountability/testing/eog/math/ http://go.hrw.com/hrw.nd/gohrw_rls1/pKeywordResults? keyword=mm1+test+prep+north+carolina http://www.amazon.com/North-Carolina-Grade-MathPreparation/dp/0738600261 http://mathgoodies4u.wikispaces.com/8th+Grade Math 1 EOC For those students in Math 1 as 8th graders These students must take both the EOG and the EOC The EOC must be passed to receive high school credit for this class Conceptual Category Number and quantity Algebra Functions Geometry Statistics and Probability Number and Quantity 5-10% Example problem Simplify Algebra 25-31% Example problem A school purchases boxes of candy bars. • Each box contains 50 candy bars. • Each box costs $30. How much does the school have to charge for each candy bar to make a profit of $10 per box? Functions 35-40% Example problem Dennis compared the y-intercept of the graph of the function f(x) = 3x + 5 to the y-intercept of the graph of the linear function that includes the points in the table below. x -7 -5 -3 -1 1 g(x) 2 3 4 5 6 What is the difference when the y-intercept of f(x) is subtracted from the y-intercept of g(x)? Geometry 10-15% Example problem A line segment has endpoints J(2, 4) and L(6, 8). The point K is the midpoint of JL. What is an equation of a line perpendicular to JL and passing through K? Statistics and Probability 15-20% A college surveyed 3,500 of its students to determine if the students preferred music, movies, or sports. The results of the survey are shown in the relative frequency table below. How many more seniors than juniors were included in the survey? Music Movies Sports Freshmen .06 .10 .09 Sophmores .09 .05 .10 Juniors .10 .06 .08 Seniors .08 .09 .10