Practice Test 1-0312-Chap. 2.4,2.7, 3.1-3.6,4.1,.4,. Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write an inequalit statement involving the letter that describes the given graph or interval notation. 1) 1) -7-6 - -4-3 -2-1 0 1 2 3 4 6 7 A) 3 B) < 3 C) > 3 D) 3 2) (2, 6) A) 2 < 6 B) 2 < 6 C) 2 < < 6 D) 2 6 2) 3) [-6, -2) A) -6-2 B) -6 < -2 C) -6 < -2 D) -6 < < -2 3) Solve the equation. 4) 6m + = 6 A) - 1 6, 11 6 B) C) 1 6, - 11 6 D) 1, - 11 4) ) 8s - 7 = s - 4 A) B) 3 7, - 7 C) - 3 7, - 11 7 D) 3 7, 11 9 ) An equation that defines as a function of is given. Solve for in terms of, and replace with the function notation f(). 6) - 6 = 6) A) f() = - B) f() = - C) f() = - - D) f() = - -6 6 6 1
Graph the linear function. Give the domain and range. 7) h() = -1 6 7) 4 2-6 -4-2 2 4 6-2 -4-6 A) Domain: (-, ) Range: {-1} B) Domain: {-1} Range: (-, ) 6 6 4 4 2 2-6 -4-2 2 4 6-2 -6-4 -2 2 4 6-2 -4-4 -6-6 Solve the inequalit. Give the solution set in both interval and graph forms. 8) -7a - 7-8a - 2 8) A) (-, -7) -14-13 -12-11 - -9-8 -7-6 - -4-3 -2-1 0 B) (-, ] -2-1 0 1 2 3 4 6 7 8 9 11 12 C) (-7, ) -14-13 -12-11 - -9-8 -7-6 - -4-3 -2-1 0 D) [, ) -2-1 0 1 2 3 4 6 7 8 9 11 12 2
9) -6(4a - 3) < -30a - 6 9) A) (-4, ) -11 - -9-8 -7-6 - -4-3 -2-1 0 1 2 3 B) (-, -30) -37-36 -3-34 -33-32 -31-30 -29-28 -27-26 -2-24 -23 C) (-, -4) -11 - -9-8 -7-6 - -4-3 -2-1 0 1 2 3 D) (-30, ) -37-36 -3-34 -33-32 -31-30 -29-28 -27-26 -2-24 -23 ) -21 < a + 4-1 ) -7-6 - -4-3 -2-1 0 1 2 3 4 6 7 A) [-, -1] B) [-, -1) -7-6 - -4-3 -2-1 0 1 2 3 4 6 7 C) (-, -1) -7-6 - -4-3 -2-1 0 1 2 3 4 6 7 D) (-, -1] -7-6 - -4-3 -2-1 0 1 2 3 4 6 7-7 -6 - -4-3 -2-1 0 1 2 3 4 6 7 Solve the problem. 11) A car rental compan has two rental rates. Rate 1 is $30 per da plus $.12 per mile. Rate 2 is $60 per da plus $.06 per mile. If ou plan to rent for one da, how man miles would ou need to drive to pa less b taking Rate 2? A) more than 20 miles B) more than 00 miles C) more than 600 miles D) more than 00 miles 11) 3
Use the graph to answer the question. 12) 12) In which months was the percent of tropical storms at most %? A) Februar, March, April B) Ma, June, Jul C) Ma, October D) Ma Solve the problem. 13) Behemoth Back Packs, Inc. finds that the cost to make back packs is C = 142 + 6639, while the revenue produced from them is R = 197 (C and R are in dollars). What is the smallest whole number of back packs,, that must be sold for the compan to show a profit? A) 121 B) 2,20,621 C) 36,14 D) 20 13) The graph shows sales in thousands of dollars for 1989 and 1990. Use it to answer the question. 14) If the ordered pair (, ) represents a point on the graph, what does represent? What does represent? A) represents the month; represents the sales in thousands of dollars. B) represents the ear 2006; represents the ear 2007. C) represents the month; represents the sales in thousands of dollars. D) represents the ear 2006; represents the sales in thousands of dollars 14) Name the quadrant, if an, in which the point is located. 1) (17, -16) A) II B) III C) I D) IV 1) 4
Plot the point on the rectangular coordinate sstem provided. Write the corresponding letter as our answer. A B 6 4 C 2 D E G F -6-4 -2 2 4 6 H -2 J I K -4 L -6 16) (0, 2) A) F B) B C) K D) C 16) Complete the table for the equation. 17) = - - 3 17) 3-3 0 A) -6; 0; -3 B) 1; -6; -3 C) 1; 0; -3 D) -6; 0; 0 Find the - and -intercepts. Then graph the equation. 18) 6-12 = 24 18) - - - -
A) (2, 0); (0, -4) B) (-4, 0); (0, 2) - - - - - - - - C) (-2, 0); (0, 4) D) (4, 0); (0, -2) - - - - - - - - 19) = -6 19) - - - - 6
A) None; (0, -6) B) (-6, 0); none - - - - - - - - C) None; (0, -6) D) (-6, 0); none - - - - - - - - Find the midpoint of the segment with the given endpoints. 20) (-8, -6) and (-7, -2) A) -1, -8 B) -1, -4 C) - 1 2, - 4 D) - 1 2, - 2 20) Suppose that segment PQ has the given coordinates for one endpoint P and for its midpoint M. Find the coordinates of the other endpoint Q. 21) P(0, -9) and M - 3 2, 0 21) A) Q 3, -18 B) Q(-3, 9) C) Q -3, 0 D) Q 3 2, - 9 Solve the problem. 22) Suppose = m + b is a linear model for actual time as a function of estimated time, where represents actual time and represents estimated time and m and b are constants. If m = 3.1 and b = -2.7, find when is 1 min. A) 49.2 min B) 6.63 min C) 43.8 min D) 23.37 min 22) 7
Find the slope of the line through the pair of points. 23) (-, -6) and (7, -4) A) 1 6 B) - 6 C) - 1 6 D) 6 23) Find the slope of the line. 24) 24) - - - - A) -1 B) -2 C) 2 D) 1 Find the slope of the line and sketch the graph. 2) 2 + = 21 2) - - - - 8
A) Slope: 2 B) Slope: 2 - - - - - - - - C) Slope: - 2 D) Slope: - 2 1 - - - - 1 Graph the line described. 26) Through (0, ); m = 1 6 26) - - - - 9
A) B) - - - - - - - - C) D) - - - - - - - - Decide whether the pair of lines is parallel, perpendicular, or neither. 27) 3-2 = 12 and 2 + 3 = -3 A) Parallel B) Perpendicular C) Neither 27) Solve the problem. 28) If the slope of the road shown is 2, find the value for h if v = 3 ft. 3 28) A) 6 ft B) 3 ft C) 9 2 ft D) 9 ft Find the equation in slope-intercept form of the line satisfing the conditions. 29) m = -8, passes through (-3, 4) A) = -8-20 B) 8 + = 20 C) = -8 + 27 D) = 8-18 29) 30) m = - 4 ; -intercept (0, 8) 3 30) A) = - 4 3-8 B) = 4 3-8 C) = 4 3 + 8 D) = - 4 3 + 8
Write the equation in slope-intercept form. 31) 7-6 = 4 31) A) = 7 6 + 2 3 B) = 7 6-2 3 C) = 6 7 + 4 7 D) = 7-4 Find the slope and the -intercept of the line. 32) 4 + 9 = 26 A) Slope 4 26 ; -intercept 0, 9 9 B) Slope - 4 26 ; -intercept 0, 9 9 32) C) Slope 9 4 ; -intercept 0, 9 26 D) Slope - 9 4 ; -intercept 0, 9 26 Find an equation of the line that satisfies the conditions. Write the equation in standard form. 33) Through (0, 3); m = - 2 7 33) A) 7 + 2 = -21 B) 2 + 7 = -21 C) 2 + 7 = 21 D) 2-7 = 21 Find an equation of the line passing through the two points. Write the equation in standard form. 34) (-2, -6) and (-7, 0) A) -6 + = -42 B) 4-7 = 28 C) 6 + = -42 D) -4 + 7 = 28 34) Find an equation of the line satisfing the conditions. Write the equation in slope -intercept form. 3) Through (-6, 7); parallel to 3 + 7 = 3 A) = - 3 7 + 31 7 B) = - 7 3 + 7 3 C) = 3 7-31 7 D) = 3 7 + 3 7 3) 36) Through (-3, 8); perpendicular to -3 + 4 = -23 A) = - 3 4 + 23 B) = 4 4 3 + 12 C) = - 4 3 + 4 D) = 3 4 + 41 4 36) Solve the problem. 37) It costs $17 per hour plus a flat fee of $28 for a plumber to make a house call. What is an equation of the form = m + b for this situation? A) = 28 + 17 B) = 28 C) = 17 D) = 17 + 28 37) 38) Using a phone card to make a long distance call costs a flat fee of $0.4 plus $0.14 per minute starting with the first minute. What is an equation of the form = m + b for this situation? A) = 0.14 + 0.4 B) = 0.14 C) = 0.4 D) = 0.4 + 0.14 38) 11
Graph the linear inequalit in two variables. 39) 2 + -2 39) - - - - A) B) - - - - - - - - C) D) - - - - - - - - 12
Decide whether the relation is a function, and give the domain and range. 40) 40) - - - - A) Not a function; domain: (-, -2] ; range: (-, ) B) Function; domain: (-, -2] ; range: (-, ) 41) 41) - - - - A) Function; domain: (-, ); range: (-, 0) B) Not a function; domain: (-, ); range: (-, 0) Decide whether the relation is a function. 42) {(2, -9), (2, -2), (, -7), (7, -3), (11, -9)} A) Not a function B) Function 42) Determine whether the relation defines as a function of. Give the domain. 43) 2 = 4 A) Function; domain: (-, ) B) Not a function; domain: (-, 0] C) Not a function; domain: [0, ) D) Function; domain: (-, 0] 43) Solve the problem. 44) Find f(0) when f() = 2 + 4 -. A) B) - C) -1 D) 2 44) Determine whether the relation defines as a function of. Give the domain. 4) = 2-6 A) Not a function; domain: -, 3 B) Function; domain: 3, C) Not a function; domain: 3, D) Function; domain: (-, ) 4) 13
Solve the problem. 46) Find f(k - 1) when f() = 42 + + 6. A) 4k2 + 29k + 1 B) 4k2-3k + C) 4k2-3k + 1 D) -3k2 + 4k + 46) Decide whether the ordered pair is a solution of the given sstem. 47) 4 + = 14 2 + 4 = 14 ; (3, 2) A) No B) Yes 47) Solve the sstem b substitution. If the sstem is inconsistent or has dependent equations, sa so. 48) = -28-7 7 + 6 = 19 A) {(7, -)} B) {(-7, -4)} C) {(6, -4)} D) ; inconsistent sstem 48) Solve the sstem b elimination. If the sstem is inconsistent or has dependent equations, sa so. 49) + 4 = 13 2 + 3 = 6 A) {(-4, )} B) {(-3, 4)} C) {(3, )} D) ; inconsistent sstem 49) Tell how man solutions the sstem has. Do not actuall solve. 0) 3 - = + 2 = 8 A) No solution B) One solution C) Infinitel man 0) 1) + 4 = -1 2 + 20 = - A) No solution B) Infinitel man C) One solution 1) 2) - 3 = 6 3 + 1 = A) Infinitel man B) No solution C) One solution 2) Solve the sstem of equations. 3) + 6 = 13 4 4-2 = 7 4 A) 1 8, 1 2 B) {(8, 2}) C) D) {(-8, 2}) 3) 14
Choose the inequalit that best matches the given calculator graph. 4) 4) A) 2 + 2 B) -2-2 C) 2 + 2 D) -2-2 Decide whether the pair of lines is parallel, perpendicular, or neither. ) 9 + 3 = 12 and 1 + = 23 A) Parallel B) Perpendicular C) Neither ) Find the product. 6) (-3-3)(3 + 11 + 1) A) -92-9 - 3-332 - 3 B) -92-42 - 422 C) -92-33 - 3-332 D) -92-42 - 3-332 - 3 6) 7) (7p - 1)(49p2 + 7p + 1) A) 343p3 + 6p2-1 B) 49p3-1 C) 343p3 + 1 D) 343p3-1 7) 8) 3(4-1)(4 + 9) A) 483 + 962-27 B) 443 + 982-2 C) 462 + 97-27 D) 163 + 322-9 8) 9) (7a - )2 A) 7a2 + 2 B) 49a2-70a + 2 C) 49a2 + 2 D) 7a2-70a + 2 9) 60) (-4-1)2 A) 162 + 1 B) -42 + 8 + 1 C) -42 + 1 D) 162 + 8 + 1 60) For the pair of functions, find the product (fg)(). 61) f() = + 4, g() = -2 + + 7 A) -3-222 + - 28 B) 3 + 212 - - 28 C) -2 + 212 - + 28 D) -3 + 212 + + 28 61) 1
Epress the area of the figure as a polnomial in descending powers of the variable. 62) 3-3 62) + 7 A) 32 + 18-21 B) -32 + 17 + 21 C) 32 + 24-14 D) 22-24 + 21 Find the product. 63) ( - 7)(4 + 7) A) 2-21 - 21 B) 42-22 - 49 C) 42-49 - 21 D) 42-21 - 49 63) Find the requested value. 64) If f() = 2 + 9 + 9 and g() = 8-2, find (fg)(-4). A) -1866 B) -37 C) 70 D) 374 64) Divide. 6) -40 7 + 1-13 - 6) A) 8-3 + 3 2 B) 8-3 + 3 C) 82-3 + 3 D) 82-3 + 3 2 66) 2 + 8 + 9 + 6 66) A) + 2 + 3 + 6 B) + 2 + 6 C) + 3 D) + 2-3 + 6 67) 9 4 + 123 + 4-1 32 + 1 67) A) 32-1 B) 32 + 4 C) 32-4 + 1 D) 32 + 4-1 16
Answer Ke Testname: PTEST1 0312 FALL 2013 1) A 2) C 3) C 4) C ) D 6) A 7) A 8) B 9) C ) D 11) D 12) C 13) A 14) C 1) D 16) D 17) A 18) D 19) C 20) C 21) B 22) C 23) A 24) A 2) C 26) D 27) B 28) C 29) A 30) D 31) B 32) B 33) C 34) C 3) A 36) C 37) D 38) A 39) B 40) A 41) A 42) A 43) C 44) B 4) B 46) B 47) B 48) A 49) B 0) B 17
Answer Ke Testname: PTEST1 0312 FALL 2013 1) B 2) B 3) B 4) A ) A 6) D 7) D 8) A 9) B 60) D 61) D 62) A 63) D 64) D 6) D 66) D 67) D 18