ALGEBRA GRADE 7. Do not open this booklet until instructed to do so. Mark your answer on the answer sheet by FILLING in the oval.
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1 Kansas City Area Teachers of Mathematics 2014 KCATM Math Competition ALGEBRA GRADE 7 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 20 minutes You may NOT use calculators. Mark your answer on the answer sheet by FILLING in the oval. You may not use rulers, protractors, or other measurement devices on this test. Letter E is None of the above, which is a correct answer for some of the problems. With circles, exact answers will be given in terms of. Student Name Student Number School
2 151. Which property is NOT used in finding the sum of 2x + 1 and 5x? A. Associative Property of addition B. Commutative Property of Addition C. Distributive Property D. Additive Identity 152. Find the sum of (8a + 2b 4) and (3b 5) A. 8a + 5b 9 B. 11a + 2b 9 C. 13ab 9 D. 6b Write the expression in standard form: 4(2a) + 7(-4b) + (3)(c)(5) A. 23a 28b B. 8a 28b + 35c C. 8a 28b + 15c D. 8a + 28b +15c 154. Evaluate the expression: (5r)(-2) for r = -3 A. -16 B. +16 C. -30 D. 11r 155. Evaluate 3b(8) + (-2)(7c) for b = 2 and c = 3 A. -6 B. 6 C. 44 D Evaluate -4(3s) + 2(-t) for s = 1/2 and t = -3 A. 0 B. -6 C. +6 D Which expression is NOT equivalent to 3x + 4y when x = -2 and y = -3? A. 9x B. (3)(4) - xy C. 6y D. 4y +2(-3) -2 E. All are equivalent 158. Which statement is equivalent to the opposite of (x + 3)? A. x + 3 B. x 3 C. x 3 D. (x 3)
3 159. Simplify the expression: 6x 2 x A. x 2 + 2x - 3 B. - x 2 2x 3 C. x 2 2x 3 D. x 2 2x Simplify the radical expression: A. 9 2 B C. 2 D Simplify the radical expression: A B C D What is the value of 5!? A. 60 B. 120 C. 5 D Subtract (3x + 5y 4) (4x + 11) A. x + 5y 15 B. x y + 7 C. 7x + 5y + 7 D. 4x + 5y Simplify the expression: (5x) 2 (7x) 0 A. 10x 2 B. 35x 2 C. 35x 3 D. 25x Factor the quadratic: x 2 7x + 12 A. (x 7)(x + 12) B. (x 4)(x + 3) C. (x 4)(x 3) D. (x + 4)(x 3) 166. Factor and solve: x 2 5x + 6 = 0 A. 6, 1 B. -6, 1 C. -3, -2 D. 3, Factor by grouping: 4x 3 2x x 9 A. (4x 2 3)(x + 3) B. 2x 2 (2x 1) + 9 C. (2x 2 1)(2x 9) D. (2x 1)(2x 2 + 9)
4 168. A sum of money was shared between George and Brian in a ratio of 3:4. If the sum of the money was $56.00, how much did George get? A. $8 B. $16 C. $24 D. $ Find the midpoint of AB if A (-2, 9) and B (-1, -7) A. (-3, 2) B. ( - 1½, 1) C. (-1, 8) D. ( ½, 1) Use the distance formula: d ( x x ) ( y y to find the distance between ) the points (3, 7) and (-3, -1) on a coordinate graph. A. 10 B. 7.5 C. 8 D Find f(-2) when f(x) = x 2 3x + 7 A. -3 B. 17 C. 5 D Find g( ½ ) when g(x) = 11x ( 2x + 2) A. 4 ½ B. 8 ½ C. 5 ½ D. 7 ½ 173. Which of these is NOT equivalent to 3(x + y) A. B. 3x + 3y D What are the missing values? _? _??_ A. x, 3y, 8 B. 2x, 8y, 4 C. x, 6y, 4 D. 4x, 24y, 16
5 175. What is the multiplicative inverse of (3x 5)? A. -3x + 5 B. 3x 5 C. 1/(3x 5) D. (3x 5) Simplify the expression using scientific notation: A. 3 x 10-4 B. 3 x 10 0 C. 3 x 10 4 D. 3 x Simplify: 3x 2 9x 12x A. ( x 3) 4x B. ( x 3) 4 C. ( 3x 3) x D. 3( x 3) 4x 178. Factor completely: 3x 2 2x 5 A. (3x 5)(x 2) B. (3x + 5)(x 1) C. (3x 1)(x 5) D. (3x 5)(x + 1) 179. Which graph has y-intercept 2 and a slope of -1? E) None of the above 180. Given the graph, write the equation of the line. A. y = -1x 2 B. y = -1/3x - 2 C. y = -2/3 x - 2 D. x = -3/2 x - 2
6 181. Write the equation in Standard form: y = ¾ x + 1 A. 4x 1y = 3 B. x - 4y = 2x 3 C. 3x + y = 4 D. 3x 4y = Which graph best shows the linear equation: x 2y = 2? 183. Which inequality statement is graphed: A. n 5 < -6 B. n 1 < -6 C. - 2n < 2 D. 3n 1 > The perimeter of a rectangle is 30 inches. If its length is three times it width, find the dimensions. A. Width: 3 ¾ in.; Length: 11 ¼ in. B. Width: 3 ½ in.; Length: 12 ½ in. C. Width: 4 ¼ in.; Length: 10 ¾ in. D. Width: 2 ¾ in.; Length: 10 ¼ in What is the rate of change of the following data given the year and the cost of a pair of gym shoes? (2000, $35) (2010, $43) A. $4 every 5 years B. $2 every year C. $3 every two years D. $1 every year
7 186. Simplify the radical expression: 6 75 A B C D A. 40 minutes B. 45 minutes C. 50 minutes D. 55 minutes 188. What is the value of 64 2/3? A. 32 B. 16 C. 24 D Which equation models the following parabolic graph. A. f(x) = -1(x + 1) B. f(x) = (x + 1) C. f(x) = -2(x - 1) D. f(x) = -2(x - 1) Write an expression for the following sum: 9w 2w 7 w A. 10w 2 13 B. 6w 1 6 C. 16w 9 24 D. 23w 13 12
8 Shade the correct answer! Example: A B C D E Name School 151. A B C D E 171. A B C D E 152. A B C D E 172. A B C D E 153. A B C D E 173. A B C D E 154. A B C D E 174. A B C D E 155. A B C D E 175. A B C D E 156. A B C D E 176. A B C D E 157. A B C D E 177. A B C D E 158. A B C D E 178. A B C D E 159. A B C D E 179. A B C D E 160. A B C D E 180. A B C D E 161. A B C D E 181. A B C D E 162. A B C D E 182. A B C D E 163. A B C D E 183. A B C D E 164. A B C D E 184. A B C D E 165. A B C D E 185. A B C D E 166. A B C D E 186. A B C D E 167. A B C D E 187. A B C D E 168. A B C D E 188. A B C D E 169. A B C D E 189. A B C D E 170. A B C D E 190. A B C D E
9 Shade the correct answer! Example: A B C D E ANSWER KEY - NEED TO CHANGE Name School 151. A B C D E 171. A B C D E 152. A B C D E 172. A B C D E 153. A B C D E 173. A B C D E 154. A B C D E 174. A B C D E 155. A B C D E 175. A B C D E 156. A B C D E 176. A B C D E 157. A B C D E 177. A B C D E 158. A B C D E 178. A B C D E 159. A B C D E 179. A B C D E 160. A B C D E 180. A B C D E 161. A B C D E 181. A B C D E 162. A B C D E 182. A B C D E 163. A B C D E 183. A B C D E 164. A B C D E 184. A B C D E 165. A B C D E 185. A B C D E 166. A B C D E 186. A B C D E 167. A B C D E 187. A B C D E 168. A B C D E 188. A B C D E 169. A B C D E 189. A B C D E 170. A B C D E 190. A B C D E
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