Kansas City Area Teachers of Mathematics 2011 KCATM Math Competition ALGEBRA GRADE 6. Do not open this booklet until instructed to do so.

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1 Kansas City Area Teachers of Mathematics 0 KCATM Math Competition ALGEBRA GRADE 6 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 0 minutes You may use calculators on this test. Use the key on your calculator or.4 as the approximation for pi. Mark your answer on the Scantron sheet by FILLING in the oval. You may not use rulers, protractors, or other measurement devices on this test.

2 . Evaluate the expression: 4 - x when x = - 4. A. 0 B. 8 C. D. 0 E. None of the above. Evaluate the expression: 6(x + ) - 7 when x = 0 A. 4 B. 9 C. 5 D. 66 E. None of the above. The prediction model of the cost of gasoline per gallon is C = p(07%) when the price of gas increases by 7%. What is the new cost (C) of gasoline if the current price (p) is $.86? A. $4.86 B. $.97 C. $.06 D. $.9 E. None of the above Solve the equations 4-8 for the value of x. 4. Solve: 8x + 5 = Round to the nearest tenth. A..0 B.. C..5 D. 8.0 E. None of the above. 5. Solve for x. (Find all of the values that work in the equation.) x + = 4 A. B. -5 C. or -5 D. 0 or E. None of the above 6. Solve for x: x 4 A. 4 / B. / C. D. 4 E. None of the above 7. Solve: -x < 8 A. x < - 4 B. x > - 4 C. x > 4 D. x < - 4 E. None of the above 8. Solve: x + 7x + 0 = 0 A., 5 B. -, -5 C., 0 D. -, -0 E. None of the above 9. What is the distance between -4 and +8 on a number line? A. 6 B. -6 C. D. - E. None of the above 0. What is the next term in the pattern? 5, 96, 69, 44, A. B. 9 C. 5 D. 7 E. None of the above. Write an equation for three consecutive odd numbers whose sum is two hundred nineteen. A. x + x + + x + = 09 B. x + x + + x + 4 = 09 C. x + x + + x + = 9 D. x + x + + x + 4 = 9 E. None of the above PAGE

3 Use the graph with lines m, n, and p for problems.-8. Y p 4 5 A C m D 4 5 X B n. What type of line is the y-axis? A. horizontal B. vertical. What is the equation of line m? A. y = -x + - B. y = x + 4 C. y = 4/ x - D. y = 4 E. None of the above 4. What is the slope of line n? A. / B. C. 5 D. /5 E. None of the above 5. What is the equation of line p? A. y = -x + - B. y = x + 4 C. y = 4/ x - D. y = 4 E. None of the above 6. Line m and Line p are A. parallel B. perpendicular C. neither parallel nor perpendicular D. both parallel and perpendicular E. None of the above 7. What is the slope of the line through points A and C? A. / B. -/ C. D. - E. None of the above 8. Point B is in which quadrant? A. I B. II C. III D. IV E. None of the above PAGE

4 9. Two consecutive numbers have a sum of. What is the largest number? A. 47 B. 75 C. 6 D. 64 E. None of the above 0. Alice is twice as old as Bobby. Bobby is three years older than Chetty who is. Which expression helps you find how old Alice is? A. () + B. ( + ) C. () + D. ( + ) E. None of the above. You earned the following 4 scores on your math tests: 75%, 7%, 84%, and 79%. What do you need on your 5 th test to have a mean of 8% on your 5 tests? A. 8% B. 85% C. 89% D. 97% E. None of the above. Less one-half of a number from twice that same number is 7. What is the number? A. B. 0 C. 8 D. 6 E. None of the above. Determine the value of (4 ) - A. -8 B. -6 C. -/6 D. /6 E. None of the above 4. Multiply: (x 5)(x + ) A. x B. x + x - C. x +x - D. x + x - 5 E. None of the above 5. Given line k, what is the measure of the obtuse angle in the diagram below? k 5 o (x + 0) o (x 5) A. 5 o B. 5 o C. 0 o D. 05 o E. None of the above 6. Find the coordinate pair solution. x y = -0 x + y = 4 A. (, -) B. (7, ) C. (, 4) D. (-5, 0) E. None of the above 7. Find the function value of g(-) when g(x) is defined as 4x x + A. -4 B. 6 C. D. - E. None of the above PAGE

5 8. Thirteen more than the difference between of a number and twelve is four. What is the number? A. 6 B. 4 C. 6 D. E. None of the above 9. What is the value of 4 0? A. 0 B. C. D. undefined E. None of the above 0. Find the slope of a line through the following points: A(, -) and B(-, 5) A. 8/ B. /8 C. 8/ D. -/8 E. None of the above. What is the most correct statement represented by the expression (x 8)? A. Eight less than the product of two and a number. B. Twice the difference between eight and a number. C. Twice the difference between a number and eight. D. Eight less than twice a number. E. None of the above. The length of a rectangle is represented by x. The width is half of the length. Which expression represents the perimeter of the rectangle? x A. (0.5)x B. x C. x D. 4x E. None of the above. What is the length of a leg of a right triangle with the other two sides are and. A. 6 B. 8 C. 0 D. 5 E. None of the above 4. One Mexican Peso is currently equivalent to of a US dollar. How many Pesos would $50 be? A. 06 Pesos B. 0 Pesos C. 58 Pesos D. Pesos E. None of the above 5. The cost of eggs in 950 was $0.79 and in 00 the cost of eggs was $.89. What is the rate of change from 950 to 00. A..8 cents per year B..9 cents per year C.. cents per year D.. cents per year E. None of the above 6. Which point is NOT a solution to the equation: y > x + 6 A. (5, ) B. (-, -5) C. (4, ) D. (-7, 0) E. None of the above PAGE 4

6 R 7. Solve for R in the following equation: 4 R A. - B. - C. 0 D. E. None of the above 8. Which equation is the graph of the line? A. y = / x B. y = /4 x C. y = /4 x + D. y = /8 x - E. None of the above 4 9. The following table shows the amount of money you would pay for a service man to come to your home to work on the plumbing. How much would it cost if the service man was at your home for 0 hours? Hours 0 4 Wage $75 $5 $75 $5 $75 A. $550 B. $575 C. $65 D. $65 E. None of the above 40. Factor the quadratic: x - 5 A. (x 5)(x + 5) B. (x + )(x - ) C. (x - 7)(x + 8) D. (x + )(x 0) E. None of the above PAGE 5