2 nd 6 Weeks TEST Study Guide Algebra I. SPIs to be tested

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1 2 nd 6 Weeks TEST Study Guide Algebra I SPIs to be tested SPI Apply properties to evaluate expressions, simplify expressions, and justify solutions to problems. SPI Operate with polynomials and simplify results. SPI Interpret various relations in multiple representations. SPI Interpret patterns found in sequences, tables, and other forms of quantitative information using variables or function notation. SPI Interpret displays of data to answer questions about the data set(s) (e.g., identify pattern, trends, and/or outliers in a data set). SPI Describe and/or order a given set of real numbers including both rational and irrational numbers. SPI Identify the effect on mean, median, mode, and range when values in the data set are changed. SPI Interpret displays of data to answer questions about the data set(s) (e.g., identify pattern, trends, and/or outliers in a data set). SPI Determine theoretical and/or experimental probability of an event and/or its complement including using relative frequency. SPI Write and/or solve linear equations, inequalities, and compound inequalities including those containing absolute value. SPI Write an equation symbolically to express a contextual problem. SPI Convert rates and measurements SPI Determine the equation of a line and/or graph a linear equation SPI Determine domain and range of a relation, determine whether a relation is a function and/or evaluate a function at a specified rational value SPI Determine and interpret slope in multiple contexts including rate of change in real-world problems. INFORMATION 1. This test will contain 25 questions. A formula sheet will be given of the questions will be similar to the following: a. Convert 20 miles per hour to feet per second. b. Convert 10 gallons to pints. c. Simplify (2x 3a + 10) (4x 5a 20) d. Simplify 4(3x + 10) 5 (2x 4) e. Find the equation of a line with slope 4 and y-intercept (0,2). f. Graph y = 2x 3 g. The probability of rolling a 4 on a 12-sided die is 1/12. What is the probability of NOT rolling a 4? h. Suppose that Tiara made a 50, 55, 70, 70, and 90 on her five algebra tests. Suppose her teacher misgraded her test on which she made a 55 and she actually made a 60. Which of the following measures of central tendency or spread would increase? (mean, median, mode, range) i. If the probability of an event A occurring is P(A) = 0.6, what is the probability that the complement of the event A will occur? j. Solve for x: 2 3 x = 2x 1 3

2 Haywood County Algebra I EOC Practice Test---2 nd Six Weeks # Question

3 Which of the following real numbers is an irrational number that is between 3 and 4? (A) 3.5 (B) 9/4 (C) (D) (E) π 8. What is the slope of the linear equation y = 3 + 2x? (A) 3 (B) 2 (C) 1 (D) 0 (E) undefined 9. What is the slope of a horizontal line? (A) 3 (B) 2 (C) 1 (D) 0 (E) undefined 10. Suppose that Tiara made a 50, 55, 70, 70, and 90 on her five algebra tests. Suppose her teacher misgraded her test on which she made a 90 and she actually made a 100. Which of the following statements is FALSE? (A) The mean (average) of her grades will increase. (B) The range of her grades will increase. (C) The mode of her grades will remain the same. (D) The median of her grades will remain the same. (E) There will be two modes. 11. Convert 55 miles per hour to feet per second. (Note: 1 mile = 5280 feet) (A) 55 mph = 4840 feet per second (B) 55 mph = feet per second (C) 55 mph = 484 feet per second (D) 55 mph = feet per second gallons is how many pints? (Note: 1 gallon=4 quarts and 1 quart = 2 pints) (A) 24 pints (B) 36 pints (C) 48 pints (D) None of these

4 13. Which of the following is equivalent to (2x 3a + 10) (4x 5a 20) in simplest form? (A) 6x + 8a + 30 (B) -2x 8a 10 (C) -2x 8a + 30 (D) -2x + 2a + 30 (E) 6x + 2a Which of the following is equivalent to 4(2x + 5) 5 (3x 2)? (A) -23 x + 30 (B) -7x + 10 (C) -7x + 30 (D) -7x + 3 (E) -23x What is an equation of a line with slope 7 and y-intercept (0,-2)? (A) Y = 7x (B) Y = 7x + 2 (C) Y = 7x 2 (D) Y = -2x + 7 (E) Y = -2x The probability of rolling a 2 on a standard six-sided die is 1/6. What is the probability of NOT rolling a 2? (A) 0 (B) 1 (C)1/6 (D) 5/6 (E) 1/ If the probability of an event A occurring is P(A) = 0.6, what is the probability that the complement of the event A will occur? (A) 1 (B) 0 (C) 0.6 (D) 1.4 (E) What is the equation of the linear function displayed to the left? (A) F(x)= 2x + 3 (B) F(x) = 2x 3 (C) F(x) = - 2x + 3 (D) F(x) = -2x 3 19 Solve for x: 1 7 x + 5 = x (A) X = 91/39 (B) x = 119/39 (C) x = 91/45 (D) x = 119/45 (E ) none of these 20 G is a relation defined by { (0,2), (3,4), (5,9), (10,10)}. Which of the following statements is FALSE? (A) The domain of G is {0, 3, 5, 10} (B) The range of G is { 2, 4, 9, 10} (C) G is a function (D) f(3) = 9 21 If 2x = 10, then x = 5 is an example of what property? (A) Associative Property (B) Division Property of Equality (C) Commutative Property (D) Addition Property of Equality (E) Distributive Property 22 4 is a real number. (A) True (B) False

Kansas City Area Teachers of Mathematics 2018 KCATM Math Competition ALGEBRA GRADE 8

Kansas City Area Teachers of Mathematics 2018 KCATM Math Competition ALGEBRA GRADE 8 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 20 minutes You may use calculators. Mark