Prealgebra Practice Midterm Math 40 OER (Ch. 1-4) PART I: NO CALCULATOR (115 points) (1.) 1. Find the difference. a) 578 80 480 b) 10 165 51 (1.). Multiply the given numbers. 684 9. Divide the given numbers. 87 98 4. Find all divisors of the following numbers. a) 48 b) 60 75 (1.4) 5. Find the prime factorization of the following numbers. a) 48 b) 60 75 (.,.,.4) 6. Simplify. 6 9 a) b) 6 9 6 9 d) 6 9 e) 7 8 f) 7 8 g) 7 8 h) 7 8 7. Simplify. a) 9 9 b) 9 9 9 9 d) 9 9 e) 6 f) 6 g) 1 6 h) 6 0 (1.5,.5) 8. Simplify the given expressions. 8 a) b) 1 7 5 9 8 9
(.) 9. Evaluate 18 the x following expressions at the given values of x and y. at x a) 6x b) y 4xy at x 5 and y 1 (.,.4) 10. Simplify. 87x a) b) 4 8 9x n n n d) 8x1 18x 14 16 7 (4.1) 11. Graph 10 and 8 on the number line. -4 - - -1 0 1 4 (4., 4., 4.4) 1. Perform the indicated 8x 4x operations. 5 7 a) 5 15 b) 6c 6c 11 5 x x 14 1 d) 56 8 e) 8 9x x 56y f) 17u u 1 1 g) 5 7 4 6 h) 8 x 4 (4.5) 1. For 1 8 : 14. For a) First round each mixed number to estimate the answer. Clearly state the numbers you used to obtain the estimate. Estimate: b) Then find the actual answer. Actual: 1 8 : a) First round each mixed number to estimate the answer. Clearly state the numbers you used to obtain the estimate. Estimate: b) Then find the actual answer. Actual:
(4.6) 15. For 1 5 9 8 4 8: a) First round each mixed number to estimate the answer. Clearly state the numbers you used to obtain the estimate. Estimate: b) Then find the actual answer. Actual: 16. For 1 5 9 8 4 8 : a) First round each mixed number to estimate the answer. Clearly state the numbers you used to obtain the estimate. Estimate: b) Then find the actual answer. Actual: PART II: YOU MAY USE A CALCULATOR (85 points) (1.6, 1.7,.6,.5, 4.8) Solve. 1. 4 8x. 8 x 4 x 1. 4 4. 6x 7 5. 16 9x 14x 6. 7. 9 8x6 9x 8. 5x 4 9 x 8 4 9. 9x 4 x 10. 6x 4 8x 11 11. 1. x x 6 5 4 x x 4 5 1. 8x x 17 65 9x 14. 6 x14 4 x 5 15. 6 x 1 16. x x 5 8 4
(.6,.6, 4.8) Use the Five Step Word Problem Method to solve. 17. 6 decreased by three times a number is 4. Find the number. 18. 6 less than three times a number is 4. Find the number. 19. The width and length of a rectangle are consecutive integers. If the perimeter is 18 inches, find the width and length of the rectangle. Did you include appropriate units? 4
(.6,.6, 4.8) Use the Five Step Word Problem Method to solve. 0. The width and length of a rectangle are consecutive odd integers. If the perimeter is 168 inches, find the width and length of the rectangle. Did you include appropriate units? 1. The width of a rectangle is three feet less than the length. If the perimeter is 8 feet, find the width and length of the rectangle. Did you include appropriate units? 0. The area of a triangle is 4 square yards. Find the height of the triangle if the length of the 1 10 base 4 yards. Did you include appropriate units? 5
(.6,.6, 4.8) Use the Five Step Word Problem 1Method to solve. 9. The area of a triangle is 4 square inches. Find the length of the base if the height is inches. Did you include appropriate units? 1 6 8 Part I Answers: 1) a) 1178 b) 1089 ) 6,98 ) 89 4) a) 1,,, 4, 6, 8,1,16, 4, 48 b) 1,,, 4, 5, 6,10,1,15, 0, 0, 60 1,, 5,15, 5, 75 4 5) a) or b) 5 or 5 55 or 5 6) a) 7 b) 7 45 d) 4 e) 56 f) 15 g) 1 h) 1 7) a) 18 b) 81 0 d) 18 e) 6 f) 6 g) 1 h) 1 8) a) 8 b) 6 19 6
Part I Answers: 9) a) b) 17 10) a) 56x b) 4 9x 17n 7 n d) 46x 6 11) 10-4 - - -1 0 1 4 8 1) a) 5x b) c 4 1 or 1 4 4 d) x 8 e) h) 7y x 4x f) 4u g) 9 7 1) a) Estimate: b) Actual: 9 7 14) a) Estimate: b) Actual: 9 16 15) a) Estimate: b) Actual: 9 9 0 5 8 16) a) Estimate: b) Actual: 9 9 18 7 17 8 7
Part II Answers: 1) ) ) 48 4) 5 5) 16 1 or 5 5 6) 4 4 or 15 15 7) 8) 6 9) 7 10) 7 1 or 11) 4 1) 0 1) 15 14) 15) 0 16) 40 17) n = the number 6n 4 n 9 state answer: The number is 9. 8
18) n = the number n 6 4 n 10 state answer: The number is 10. 19) w = the width w1 w 18 w 79 state answer: The width is 79 in. and the length is 80 in. Included appropriate units. 9
0) w = the width w w 168 w 41 state answer: The width is 41 in. and the length is 4 in. Included appropriate units. 1) l = the length l l 8 l state answer: The width is ft and the length is 19 ft. Included appropriate units. 10
) h = the height 1 1 0 10 4 4 h h 6 state answer: The height is 6 yards. Included appropriate units. ) x = the base 1 1 1 9 x 6 4 8 468 7 x or 9 49 49 state answer: The length of the base is 7 9 49 inches. Included appropriate units. 11