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Pre-Algebra 8 Name: ______________________ Final Exam Review Packet # 2 1.) Simplify: (60 5 20 4 15) 2 2.) Simplify: 9 4 82 3.) Name the Property shown by the following statement: 15 + 1 = 1 + 15 4.) Which of the following numbers, when rounded to the nearest hundredth, becomes 32.01 A. B. C. D. 32.008 32.087 32.024 32.099 5.) Suppose Adam’s home represents the origin on a coordinate plane. If Adam leaves his home and walks 4 miles west and then 5 miles north, what is the location of his destination as an ordered pair? In which quadrant is his destination? 6.) Simplify: -24 + 17 + (-9) 7.) Simplify: 6(-3d) 8.) Evaluate: 6 2 3 15 9.) Use the Distributive Property of Multiplication to find an equivalent algebraic expression. 9(x + 2) 10.) Simplify: 7(x + 4) + 3x 11.) Solve: 4x – 8 = 24 12.) Three more than 2 times a number is 17. Translate and solve for the unknown number. 13.) Solve: 2x – 7 = -19 14.) Find the volume of a cube that has a side length of 6 inches. 15.) Evaluate: 16.) Simplify: 17.) If first? b3 45, if b 4 12 x5 y 16 x 2 y 3 16 20 25 , , and are placed in order from least to greatest, which will be 3 3 3 18.) Which of the following is an integer AND a rational number? A. 1 3 B. 3 1 4 19.) Choose the simplest form of C. -22 8 15 3 12 20.) Write the sum in simplest form: 21.) Solve: D. 9 x 5x 4 4 3 x 15 5 22.) The ratio of cars to people in one country is 575 to 800. Write this ratio as a fraction in simplest form. 23.) Solve: 3 x 4 16 24.) Solve the following proportion: 18 packages in 5 crates = x packages in 15 crates. 25.) Show 1 as a percent. 8 26.) Adam weighs 195 pounds. Water makes up 72% of his body weight. How much does the water in his body weigh? 27.) What percent of 126 is 86? 28.) Miguel bought a new coat that was on sale at a 25% discount. If the original price of the jacket was $85.00, what was the sale price? 29.) Find the percent of change. The rent for Bob’s apartment increased from $825 to $975 a month. 30.) There are six playing cards in Matt’s hand: The King of Hearts The Queen of Diamonds The King of Clubs The King of Spaces The Queen of Hearts The Jack of Spades What is the probability that Matt randomly picks a King? 31.) There are 7 green marbles, 3 yellow marbles, and 11 blue marbles in a jar. What is the probability of choosing a marble that is NOT yellow? 32.) Solve: 4 – 2x = 20 33.) Solve: -8 + 2w = 4w + 6 34.) Solve: 4 + 3x = 5x + 6 35.) Solve: 10d + 6 = 4(2d – 6) 36.) Draw a graph that represents x < -9. 37.) Solve the following inequality: x – 6 < -12 38.) Solve the inequality: x 11 4 39.) Determine whether the relation is a function: {(-8, 4), (-6, 4), (0,4), (1,4)} 40.) Which of the following ordered pairs is a solution of 3x + 2y = 17? A. (4,3) B. (2,1) C. (3,4) D. (1,2) 41.) Determine whether the relation is a function: 42.) Find 49 43.) State the x-intercept and the y-intercept of the line. 44.) Find the slope of the line. 45.) Choose <, >, or = to make the following a true statement: 81 _____ 15.6 47.) Given the right triangle below, what is the length of the hypotenuse? 48.) Beth’s kite is stuck in a tree. How tall is the tree? 49.) The 34 is between which of these two whole numbers? A. 5 and 6 B. 6 and 7 C. 7 and 8 D. 8 and 9 50.) Angles P and Q are complementary. If m <P = 2x and m <Q = x+ 8, find the measure of each angle. 51.) Identify all angles with a measure of 46o in the diagram below. 52.) Find the value of x. 53.) Find the area of the triangle. 54.) Find the area of the trapezoid. 55.) Lines l and m are parallel. If m<1 = 48 and m<2 = 36, find m<3. 56.) Which statement is FALSE? A. A pentagon has 5 angles B. A quadrilateral has 4 angles C. A hexagon has 6 angles D. A octagon has 7 angles 57.) In this figure, AB is a straight line. Solve for x. 58.) Find the circumference of a circle with a radius of 7 feet. Round to the nearest tenth. 59.) Find the volume of the cylinder. 60.) Using the data in the stem-and-leaf plot below, find the mean. 61.) The box-and-whisker plots show weekly temperatures, in F, of a town in Maryland and a town in Oregon. What is the difference in the median temperature between the two towns? 62.) How many different combinations of outfits could you make from 5 pairs of jeans and 9 different shirts? 63.) Find the mean, median, and mode for the following data: 6, 9, 3, 15, 7, 13, 2, 9, 4