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Deborah Butler Resource Teacher I taught my dog Spot how to whistle. I don’t hear him whistling. I said I taught him; I didn’t say he learned it. It is assessment that helps us know the difference between teaching and learning. Ms. Butler Wouldn’t it be nice if …..the problem had nice numbers? Change the “mean” test numbers to “nice” test numbers and then do the problem. Estimate Sometimes being close is good enough. Try doing it with nice numbers too. Just do it Some problems you just have to do, so just do them! Plug and Chug Plug in your own numbers (KISS) and see what happens Eliminate the Impossible Use estimation and common sense to rule out the impossible choices. Only the possible answer will remain. Using Answer Choices No need to work for the answer, be lazy! Use the answer choices and see if the result is true or false. Olathe South’s Tardy Policy Sally puts $200.00 in a bank account. Each year the account earns 8% simple interest. How much interest will be earned in three years? A. $16.00 B. $24.00 C. $48.00 D. $160.00 Some students attend school 180 days of the 365 days in a year. About what part of the year do they attend school? A. 18% C. 75% B. 50% D. 180% The five members of a band are getting new outfits. Shirts cost $12 each, pants cost $29 each, and boots cost $49 a pair. What is the total cost of the new outfits for all of the members? A. $90 B. $95 C. $450 D. $500 Christopher can type about 42 words per minute. If he types at this rate for 30 minutes without stopping, about how many words will he type? A 1260 B 2100 C 2520 D 4200 What is the volume of the shoebox 3 show below in cubic inches (in )? 9 in 15 in 5 in A) 29 B) 75 C) 510 D) 675 A rectangular pool 42 feet by 68 feet is on a rectangular lot 105 feet by 236 feet. The rest of the lot is grass. Approximately how many square feet is grass? 42 ft 68 ft 236 ft A) 2,100 B) 2,800 C) 23,000 D) 28,000 105 ft Jana bought a car for $4200 and later sold it for a 30% profit. How much did Jana sell the car for? A $1260 B $2940 C $5460 D $7140 The scale drawing of the basketball court shown below is drawn using a scale of 1 inch (in) = 24 feet (ft). What is the length, in feet, of the basketball court? 2 4 3 4 in A) 90 ft B) 104 ft C) 114 ft D) 120 ft 1 2 in The largest possible circle is to be cut from a 10-foot square board. What will be the approximate area, in square feet, of the remaining board (shaded region)? (A = r2 and 3.14) A) 20 C) 50 B) 30 D) 80 10 feet Which equation is equivalent to 5x – 2(7x + 1) = 14x? A -9x – 2 = 14x B -9x + 1 = 14x C -9x + 2 = 14x D 12x – 1 = 14x 16 8 3 A 4 B 6 C 9 D 10 Which relation is a function? A {(-1,3), (-2,6), (0,0), (-2,-2)} B {(-2,-2), (0,0), (1,1), (2,2)} C {(4,0), (4,1), (4,2), (4,3)} D {(7,4), (8,8), (10,8), (10,10)} Which of the following numerical expressions results in a negative number? A. (-7) + (-3) C. (3) + (7) B. (-3) + (7) D.(3) + (-7) + (11) g = (+) Which of the following is equivalent -6 4 to 7 7 ? A 7 C 7 -24 -2 B 7 -10 D 7 2 1 If n =2, and x = , then 2 n(4 – x) = A 1 C 7 B 3 D 10 What does x5 equal when x = -2? A -32 B -10 1 C 32 D 32 Solve for n. 2n + 3 < 17 A. n < 2 C. n < 5 B. n < 3 D. n < 7 What is the area of the triangle shown below? (A = ½bh) 11 8 15 A) B) C) D) 44 square units 60 square units 88 square units 120 square units x 4 xy 4y What is 2 3xy-6y reduced to lowest terms? 2 A C x-2y 3 x+2y 3 2 x-2y B 3y x+2y D 3y 7z 7z z 4 3 2 4z 8 z 2z z 2 A C 7(z-2) 4(z+1) 7z(z+1) 4(z+2) 2 B D 7(z+2) 4(z-1) 7z(z-1) 4(z+2) One hundred is multiplied by a number between 0 and 1. The answer has to be A. less than 0. B. between 0 and 50 but not 25. C. between 0 and 100 but not 50. D. between 0 and 100. The square of a whole number is between 1,500 and 1,600. The number must be between A. 30 and 35. C. 40 and 45. B. 35 and 40. D. 45 and 50. In the figure below, an edge of the larger cube is 3 times the edge of the smaller cube. What is the ratio of the surface area of the smaller cube to that of the larger cube? A) 1 : 3 B) 1 : 9 C) 1 : 12 D) 1 : 27 If a is a positive number and b is a negative number, which expression is always positive? A a–b B a+b C ab D a b If n is an odd number, which of the following is true about n + 1? A It s an odd number. B It is an even number. C It is a prime number. D It is the same number as n -1. Which equation represents a line 5 that is parallel to y = - x 2 ? 4 5 A y = - x 1 4 4 B y=- x2 5 4 c y= x3 5 5 D y= x4 4 The graph of the equation y = x2 -3x – 4 is shown below. y 8 6 4 2 x -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 -2 -4 -6 -8 For what value or values of x is y = 0? A x = -1 only B x = -4 only C x = -1 and x = 4 D x = 1 and x = -4 For which equation graphed below are all the y-values negative? y y A B y y 8 8 6 6 4 4 2 x -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 2 x x -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 -2 x -2 -4 -4 -6 -6 -8 -8 y C y D y 8 y 8 6 6 4 4 2 2 x -9 -8 -7 -6 -5 -4 -3 -2 -1 1 -2 2 3 4 5 6 7 8 9 x x -9 -8 -7 -6 -5 -4 -3 -2 -1 1 -2 -4 -4 -6 -6 -8 -8 2 3 4 5 6 7 8 9 x RED YELLOW BLUE GREEN The spinner shown above is fair. What is the probability that the spinner will not stop on red if you spin it one time? 1 A. 4 1 B. 3 3 C. 4 4 D. 3 1 2 Which of the following is the graph of y = x ? 4 Which of the following could be the graph of y = x3? Beverly walked 6 miles at the speed of four miles per hour. How long did it take her to walk the distance? A 2 3 hr B 1 1 hrs 2 C 4 hrs D 6 hrs One cubic inch is approximately equal to 16.38 cubic centimeters. Approximately how many cubic centimeters are there in 3 cubic inches? A) 5.46 B) 13.38 C) 19.38 D) 49.14 12 x 5 What is the value of x in the triangle shown above? A) 11 B) 13 C) 17 D) 169 What is the solution for this equation? 2x – 3 = 5 A x = -4 or x = 4 B x = -4 or x = 3 C x = -1 or x = 4 D x = -1 or x = 3 The total cost (c) in dollars of renting a sailboat is given by the equation C = 120 + 60n If the total cost was $360, for how many days was the sailboat rented? A 2 B 4 C 6 D 8 A 120-foot long rope is cut into 3 pieces. The first piece of rope is twice as long as the second piece of rope. The third piece of rope is three times longer than the second piece of rope. What is the length of the longest piece of rope? A 20 feet B 40 feet C 60 feet D 80 feet Which number serves as a counterexample to the statement below? All positive integers are divisible by 2 or 3 A 100 B 57 C 30 D 25 Solve for x. 2x – 3 = 7 A -5 B -2 C 2 D 5 The table shows values for x and corresponding values for y x y 21 3 14 2 28 4 7 1 Which of the following represents the relationship between x and y? A y= 1 x 7 C y=x–6 B y = 7x D y = x - 18 The winning number in a contest was less than 50. It was a multiple of 3, 5, and 6. What was the number? A 14 B 15 C 30 D It cannot be determined Assume y is an integer and solve for y. y+2 = 9 A {-11,7} B {-7,7} C {-7,11} D {-11,11} If x is an integer, which of the following is the solution set for 3 3 x = 15? A {0,5} B {-5,5} C {-5,0,5} D {0,45} Which of the following points lies on the line y = x? A (-4,-4) B (-4,4) C (4,-4) D (-4,0) 7x + 3y = -8 -4x – y = 6 What is the solution of the equations shown above? A {-2,-2} B {-2,2} C {2,-2} D {2,2}