MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Transcription

1 Math 24 Study Guide for Exam 1 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Identify the number as prime, composite, or neither. 1) 173 A) Prime B) Composite C) Neither 2) 1 A) Prime B) Neither C) Composite Write the number in prime factored form. 3) 70 4) 43 A) 2 œ 2 œ 7 B) 10 œ 7 C) 5 œ 5 œ 2 D) 2 œ 5 œ 7 A) 43 œ 1 B) 21 œ 43 C) 22 œ 2 D) 43 1) 2) 3) 4) Write the fraction in lowest terms. 10 5) 840 5) A) 1 84 B) C) D) 84 Perform the operation. Write the answer as a fraction in lowest terms. 6) œ A) 7 69 B) 9 23 C) D) ) 7) 6 œ ) A) 6 13 B) C) D) ) d ) A) B) C) D) ) d ) A) B) C) D)

2 10) ) A) B) C) D) ) ) A) 0 B) C) 8 9 D) Solve the problem. 12) Find the perimeter of the triangle in the figure. 12) 3 km km km A) km B) km C) km D) km 13) 13) In a school survey, students showed these preferences for instructional materials. About how many students would you expect to prefer computers in a school of 750 students? A) About 135 students B) About 270 students C) About 36 students D) About 150 students Find the value of the exponential expression ) 7 14) A) 4 7 B) 49 4 C) 4 49 D) Simplify. 15) 5 œ 9-3 œ 3 A) 126 B) 90 C) 36 D) ) 2

3 Find the value of the expression. 16) 9(14-22) 9 œ 4 œ 17 16) A) 34 5 B) 31 9 C) 5 2 D) 5 34 Determine whether the statement is true or false. 17) 5[8 + (9-2)] < 28 A) False B) True Write the word statement in symbols. 18) Six is not equal to five. A) 6 5 B) 6 < 5 C) 6 5 D) 6 > 5 19) Eight is less than or equal to two plus seven. A) B) 8 < C) D) Answer the question about the bar graph. 20) The bar graph illustrates the number of minutes of cell phone usage during selected months. How many more minutes were used during the month of April than during March? 17) 18) 19) 20) A) 1 B) 12 C) 3 D) 17 Find the numerical value of the expression for a) x = 4 and b) x = 18. x ) 6 21) A) a) 7 6 b) 7 2 B) a) 6 7 b) 2 7 C) a) 2 b) 9 D) a) 7 2 b) ) 6x2 + 2x A) a) 56 b) 252 B) a) 104 b) 1980 C) a) 88 b) 1908 D) a) 32 b) 144 Evaluate the expression for the given values. If necessary, round to the nearest tenth. x(y + 10) 23) x = 10, y = 5 5(x - y) A) 1 B) 3 C) 6 D) 5 22) 23) 3

4 State the phrase as a mathematical expression. Use x to represent the variable. 24) The product of five and two more than a number A) 5 œ 2 + x B) œ x C) 5(x + 2) D) (5 + 2)x 25) Eight times a number, added to 45 A) 8x B) 8 œ 45 + x C) 8x + 45 D) 8(x + 45) Change the word statement to an equation. Use x as the variable. 26) When 3 times a number is subtracted from 7 times the number, the result is 32. A) 3(x - 7) = 32x B) 3x(7 - x) = 32 C) 7x - 3x = 32 D) 3x + 8x = 32 24) 25) 26) 27) The sum of two-thirds a number and 47 is 80. A) 2 3 x - 47 = 80 B) 2 3 x + 80 = 47 C) 2 3 x + 47 = 80 D) 2 3 x œ 47 = 80 27) List the numbers from the set that are of the type indicated. 28) {7, 7, -4, 0} Real numbers A) 7, 0 B) 7, 7, -4, 0 C) 7 D) 7, -4, 0 29) B = {19, 8, -16, 0,.92} Rational numbers A) 19, 0 B) 8 C) 19, -16, 0,.92 D) 8,.92 30) {20, 5, -2, 0,.82} Irrational numbers A) 5, -2 B) 5, 0,.82 C) 5,.82 D) 5 Graph the numbers on a number line. 31) -8, -6, -4, -2 28) 29) 30) 31) A) B) C) D) Simplify. 32) 2-8 A) -6 B) 0 C) 12 D) 6 Select the smaller of the two given numbers. 33) v9-3v, v8-4v A) v8-4v B) v9-3v 32) 33) 4

5 Decide if the statement is true or false. 34) A) False B) True Find the sum. 35) (-23.3) A) B) C) 19.1 D) ) [4 + (-14)] + [1 + (-18)] A) 7 B) -29 C) 37 D) ) [-13 + (-24)] + [(-14) + (-8)] A) 15 B) -5 C) -33 D) ) 35) 36) 37) 38) ) A) B) C) D) Find the difference. 39) (-26) A) 0 B) -52 C) 78 D) 52 39) 40) ) A) B) C) D) Use order of operations to simplify the expression. 41) (-2) + 6 A) -9 B) 15 C) -1 D) 7 Write a numerical expression for the phrase and simplify it. 42) 20 less than the difference between 4 and -5 A) [4 - (-5)] - 20; -21 B) 20 - [4 - (-5)]; 11 C) [4 - (-5)] - 20; -11 D) (4-5) - 20; ) The sum of 5 and -2, decreased by 4 A) [5 - (-2)] - 4; 3 B) [5 + (-2)] - 4; -1 C) [5 + (-4)] + 2; 3 D) [5 + (-2)] + 4; 7 44) The difference between 19 and -2 A) 19 - (-2); 17 B) -2-19; -21 C) 19 - (-2); 21 D) 2-19; -17 Solve the problem. 45) Nikki is fishing from a bank 10 feet above water level. In this location, the fish tend to feed at 18 feet below the surface. How long must Nikki's fish line be to reach the fish? A) 28 feet B) 8 feet C) -10 feet D) -8 feet 41) 42) 43) 44) 45) 5

6 Find the product. 46) -26(0) A) 0 B) 1 C) 26 D) ) ) 47) A) 3 B) 1 3 C) 3 2 D) - 1 Find all integer factors of the given number. 48) 27 A) -27, -13, -3, 3, 13, 27 B) -27, -9, -3, 3, 9, 27 C) -9, -3, -1, 1, 3, 9 D) -27, -9, -3, -1, 1, 3, 9, 27 Find the quotient ) 0 A) 6 B) 0 C) Undefined D) -6 48) 49) 50) d ) A) B) 6 7 C) D) 7 6 Perform the indicated operations. 51) (21-97)(36-13) A) -1,748 B) 1748 C) 2017 D) 5782 Perform the indicated operation. -12(2) + 8(2) 52) -5 - (-7) A) 4 B) 20 C) -20 D) -4 51) 52) Evaluate the expression, given x = -2, y = 3, and a = ) 6 x y a 53) A) B) C) D) 14 3 Write a numerical expression for the phrase and simplify it. 54) Twice the product of -6 and -8, subtracted from 3 A) (3-2)(-6 œ -8); 48 B) 3-2(-6 œ -8); -93 C) (3)(2)(-6)(-8); 288 D) (3)(2)(-6 + 8); 12 55) The sum of 21 and -9, divided by the product of 2 and -3 A) (-3) ; - 12 B) 2(-3) 21 + (-9) ; - 1 C) (-9) ; -2 D) (-3) -9 2(-3) ; -2 54) 55) 6

7 Write the statement in symbols, using x as the variable, and find the solution by guessing or by using trial and error. All solutions come from the list of integers between -12 and 12 inclusive. 56) 8 less than a number is ) A) 8 - x = -15; 23 B) x - 15 = 8; 23 C) x - 8 = -15; -7 D) x + 8 = -15; -23 Find the average of the numbers. 57) 10, 14, 6, 20, 17, 11, 2, 8 A) B) 10 C) 11 D) 18 57) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 58) What values of a and b make the result negative? -(a - b) 58) MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the indicated property to provide a new expression equal to the given expression. Simplify, if possible. 59) 6(k - 3); distributive A) 6k + 18 B) k - 18 C) 6k - 3 D) 6k ) Decide whether the statement is an example of the commutative, associative, identity, inverse, or distributive property. 60) 7 œ 4 = 4 œ 7 60) A) Commutative B) Associative C) Identity D) Distributive Use the properties of real numbers to simplify the expression. 7 61) 6 (-.37) ) A) -1 B) -.37 C) 1 D) 7 6 Use the distributive property to rewrite the expression. 62) - 2 (-9x - 9y) 9 62) A) 2x + 2y B) 2x - 2y C) -2x - 2y D) 4x 63) 3(4r s) A) 12r s B) 12r s C) 12r s D) 12r s Use the distributive property to write without parentheses. 64) - (9z - 8w + 6y) A) -9z - 8w - 6y B) -9z + 8w - 6y C) -9z - 8w + 6y D) -9z + 8w + 6y Simplify the expression. 65) -7 - (3-6s) A) s B) 4-6s C) -4-6s D) s Give the numerical coefficient of the term. 66) sy A) 0 B) s C) sy D) 1 63) 64) 65) 66) 7

8 67) 4k2 A) 16 B) 8 C) 4 D) 2 Identify the group of terms as like or unlike. 68) 10m, 11m A) Like B) Unlike Simplify the expression by combining like terms. 69) 9p2 + 6p3-5p2-3p3 A) 7p2p3 B) 4p2 + 3p3 C) 7p2 D) 15p2-8p3 70) -2(4j + 7) - (2j + 3) - 2j + 10 A) 12j + 10 B) -12j - 7 C) -12j + 21 D) -8j ) -4.9p (6p +.5) + 5.6p A) 6.7p B) -5.3p C) -5.3p D) 6.7p ) 68) 69) 70) 71) Write the phrase as a mathematical expression. Use x to represent the number. Combine like terms if possible. 72) 5 times a number added to -2, added to 8 times the sum of 5 times the number and 8 72) A) 5x (5 + 8x); 69x + 45 B) 5(-2 + x) + 8(5x + 8); 45x - 2 C) 5(-2 + x) + 8(5 + 8x); 13x + 30 D) 8(5x + 8) + [5x + (-2)]; 45x ) A number multiplied by 2, added to -2, subtracted from 7 times the sum of 2 times the number and 3 A) 2x (2 + 3x); 23x + 16 B) 2(-2 + x) + 7(2 + 3x); 5x + 10 C) 2(-2 + x) + 7(2x + 3); 16x - 1 D) 7(2x + 3) - [2x + (-2)]; 12x ) Eight times a number, added to the sum of the number and two. A) 8x + 2 B) 9x C) (x + 2) + 8x; 9x + 2 D) 10x Provide an appropriate response. 75) Which one of the following is an example of a pair of like terms? A) -2t3, -8t5 B) -9s2y, -2sy2 C) -8yz, 9zy D) 9t, -2z 73) 74) 75) 8

9 Answer Key Testname: MATH 24- CHAPTER 1 STUDY GUIDE-FALL ) A 2) B 3) D 4) D 5) A 6) C 7) B 8) B 9) A 10) D 11) D 12) A 13) B 14) C 15) C 16) D 17) A 18) C 19) A 20) A 21) A 22) B 23) C 24) C 25) C 26) C 27) C 28) B 29) C 30) D 31) C 32) D 33) A 34) B 35) A 36) D 37) D 38) A 39) A 40) D 41) C 42) C 43) B 44) C 45) A 46) A 47) C 48) D 49) C 50) B 9

10 Answer Key Testname: MATH 24- CHAPTER 1 STUDY GUIDE-FALL ) A 52) D 53) B 54) B 55) C 56) C 57) C 58) a must be greater than b 59) D 60) A 61) B 62) A 63) D 64) B 65) A 66) D 67) C 68) A 69) B 70) B 71) B 72) D 73) D 74) C 75) C 10