C) x m A) 260 sq. m B) 26 sq. m C) 40 sq. m D) 364 sq. m. 7) x x - (6x + 24) = -4 A) 0 B) all real numbers C) 4 D) no solution

Size: px

Start display at page:

Download "C) x m A) 260 sq. m B) 26 sq. m C) 40 sq. m D) 364 sq. m. 7) x x - (6x + 24) = -4 A) 0 B) all real numbers C) 4 D) no solution"

Dorthy Johns
6 years ago
Views:

1 Sample Departmental Final - Math 46 Perform the indicated operation. Simplif if possible. 1) A) B) C) D) Solve the problem. 2) The sum of a number and its square is 72. Find the number. A) 8 or 9 B) 8 or -9 C) -8 or 9 D) -8 or -9 Find the following product. 3) ( + 1)( ) A) B) 3-1 C) D) Find the area of the figure. 4) 26 m 14 m 1 m 14 m 26 m A) 260 sq. m B) 26 sq. m C) 40 sq. m D) 364 sq. m Use the point-slope form of the linear equation to find an equation of the line with the given slope and passing through the given point. Then write the equation in standard form. ) Slope- 7 ; through (, 3) 8 A) = -9 B) = 9 C) 7-8 = 9 D) = -9 Solve the equation. 6) = -39 A) -32 B) - C) D) 32 7) (6 + 24) = -4 A) 0 B) all real numbers C) 4 D) no solution Simplif the epression. 8) [29 - (4 + 6) 2] - [ ] A) 12 B) 14 C) 24 D) 17 1

2 Solve the sstem of equations. 9) = = 0 A) (9, 0) B) (0, 9) C) infinite number of solutions D) no solution Use the vertical line test to determine which graph is NOT a graph of a function. ) A) B) C) D) Perform the indicated operation. Simplif if possible. 11) A) C) 9-12 ( - 1)( + 1)( - 2) ( - 1)( + 1)( - 2) B) D) 12-9 ( - 1)( + 1)( - 2) 9-12 ( - 1)( - 2) 2

3 Use formulas to find the area of the figure. 12) 13 in. in. 20 in. A) 130 in.2 B) 0 in.2 C) 0 in.2 D) 32. in.2 Find the following product. 13) 82( ) A) B) C) D) Factor the polnomial completel. If the polnomial cannot be factored, write prime. 14) A) ( - 2)( 2 + 1) B) ( + 2)( - 3) C) ( - 2)( + 3) D) prime Find the measures of angles 1, 2, and 3. 1) 60 A) 1 = 120 ; 2 = 60 ; 3 = 120 B) 1 = 30 ; 2 = 120 ; 3 = 30 C) 1 = 30 ; 2 = 90 ; 3 = 60 D) 1 = 30 ; 2 = 90 ; 3 = 30 Find the domain and the range of the relation. 16) {(8, 1), (-8, 0), (-, -), (13, -8)} A) domain: {-8, -, 8, 13} ; range: {0, 1} B) domain: {-, 0, 8, 13} ; range: {-8, -, 1, 13} C) domain: {-8, -, 8, 13} ; range: {-8, -, 0, 1} D) domain: {-8, 0, 1, 8} ; range: {-8, -, 13} Write in standard notation. 17) A) -79,0 B) C) D) Solve the equation. 18) = A) 288 B) 0 C) all real numbers D) no solution 3

4 Factor out the GCF (greatest common factor) from the polnomial. 19) 4m 9 + 6m 4 + 8m 2 A) 2m 2 (2m 7 + 3m 2 + 4) B) m 2 (4m 7 + 6m 2 + 8) C) 2(2m 9 + 3m 4 + 4m 2 ) D) -2m 2 (2m 7-3m 2-4) Solve the inequalit. Graph the solution set and write it in interval notation. 20) < -3 A) [3, ] B) (3, ] C) [-, -3) D) (-, -3] Simplif the epression. Write the result using positive eponents onl. 21) -4z -3 A) - 4 z 3 B) -64 z 3 C) z 3 D) 1 64z 3 Factor the polnomial completel. If the polnomial cannot be factored, write prime. 22) 4-81 A) ( 2 + 9)( 2 + 9) B) ( 2 + 9)( + 3)( - 3) C) ( 2-9)( 2-9) D) prime Solve the equation. 23) (-2-4) = A) 9 B) - 1 C) 9 D) 1 4

5 Solve the compound inequalit. Graph the solution set. 24) 6-4 < 2 or A) (1, 3) B) [1, 3] C) (-, 1) [3, ) D) Factor the polnomial completel. If the polnomial cannot be factored, write prime. 2) A) ( - 4) 2 B) ( + 4) 2 C) ( + 4)( - 4) D) prime List the elements of the set. 26) If A = {17, 18, 19, 22} and B = {1, 17, 18, 20}, list the elements of A B. A) {17, 18} B) { } C) {1, 17, 18, 19, 20, 22} D) {1, 19, 20, 22} Find the slope of the line that is perpendicular to the equation of the given line. 27) 3-4 = 9 A) B) 3 4 C) 4 3 D) Multipl. 28) (-8)(-7)(-3) A) 168 B) -68 C) -168 D) -178

6 Graph the linear equation. 29) + 8 = -8 A) B) C) D) Factor the polnomial completel. If the polnomial cannot be factored, write prime. 30) z 2-6z + 9 A) (z - 6)(z + 6) B) (z - 3) 2 C) (z - 3)(z + 3) D) (z + 3) 2 Solve the sstem of equations. 31) = = -72 A) (-2, -8) B) (-8, -2) C) infinite number of solutions D) no solution Factor the polnomial completel. If the polnomial cannot be factored, write prime. 32) A) ( + )( - 7) B) ( - 3)( + 1) C) ( - )( + 7) D) prime 6

7 Divide. Simplif if possible. 33) z z + 24 z2 + 16z + 64 z2 + 3z z2 + 14z + 48 A) z + 6 z B) z + 6 z2 + 8z C) z + 6 D) z z2 + 16z + 64 Solve. 34) A 6-ft. board is cut into 2 pieces so that one piece is 2 feet longer than 3 times the shorter piece. If the shorter piece is feet long, find the lengths of both pieces. A) shorter piece: 3 ft; longer piece: 18 ft B) shorter piece: 6 ft; longer piece: 20 ft C) shorter piece: 16 ft; longer piece: 18 ft D) shorter piece: 1 ft; longer piece: ft Factor the polnomial completel. If the polnomial cannot be factored, write prime. 3) A) ( - 11)( + 3) B) ( + 11)( - 3) C) ( - 33)( + 1) D) prime Solve the inequalit. Graph the solution set and write it in interval notation. 36) - 9 < -4 A) [, ) B) (-, ] C) (-, ) D) (, ) Simplif the epression. Write the result using positive eponents onl. 37) 4-2 A) 8 6 B) C) 1 12 D) 6 8 Divide. Simplif if possible. 38) A) 7 B) 77 4 C) D)

8 Solve the problem. 39) The area of a circle is 49π square meters. Find its radius. A) 14 m B) 24. m C) 49 m D) 7 m Write the sentence as an equation. Use to represent an unknown number. 40) The difference of twice a number and three is nine. A) 2-3 = 9 B) 3-2 = 9 C) 2( - 3) = 9 D) = 9 Solve the equation. 41) b(b + 13) = 0 A) b = 1, b = -13 B) b = -13, b = 0 C) b = -1, b = -13 D) b = 13, b = 0 Factor the polnomial completel. If the polnomial cannot be factored, write prime. 42) 9z 2 + 6z - 8 A) (3z - 4)(3z + 2) B) (9z + 4)(z - 2) C) (3z + 4)(3z - 2) D) prime Solve the equation. 43) = 0 A) = - 7, = 9 B) = 7, = -9 C) = 7, = 9 D) = -63, = 0 Simplif the epression. 44) pm 4 7 q A) p7 m 11 B) p7 m 28 q 12 q 3 C) pm28 q 3 D) pm11 q 12 Solve the absolute value equation. 4) = 8 A) - 3, 13 3 B) 3, C) 4, D) Factor. 46) 64p 3-1 A) (4p - 1)(16p 2 + 1) B) (64p - 1)(p 2 + 4p + 1) C) (4p - 1)(16p 2 + 4p + 1) D) (4p + 1)(16p 2-4p + 1) Solve the sstem of equations. 47) = = 26 A) (4, -2) B) (-4, 2) C) (4, 2) D) (-4, -2) Perform the indicated operations. 48) (62 + 4) - ( ) A) B) C) D)

9 Factor b grouping. 49) A) (18-4)( + ) B) (3-4)(6 + ) C) (18 + 4)( - ) D) (3 + 4)(6 - ) Solve. 0) Five times some number added to 4 amounts to -2 added to the product of 3 and the number. A) 6 B) -3 C) -6 D) 3 1) Linda and Dave leave simultaneousl from the same starting point biking in opposite directions. Linda bikes at 7 miles per hour and Dave bikes at 8 miles per hour. How long will it be until the are 2 miles apart from each other? A) 2 hrs B) 2 6 hrs C) 3 hrs D) hrs Find the perimeter of the figure named and shown. 2) Equilateral triangle 19 mi A) 180. mi B) 6 mi C) 7 mi D) 38 mi Solve the sstem of equations. 3) = 6-4 = - A) (0, 0) B) (-3, 2) C) infinite number of solutions D) no solution 9

10 Graph the function. 4) f() = A) B) C) D) Add or subtract as indicated. Write the answer in lowest terms. ) A) B) 1 24 C) 8 24 D) Find the product. 6) (p + 7q)(p - 7q) A) p 2-14q 2 B) p 2-14pq - 49q 2 C) p pq - 49q 2 D) p 2-49q 2 Solve the equation. 7) = A) 0 B) 3 C) -7 D) no solution Solve the equation. 8) = A) -22 B) 22 C) -12 D) 12

11 Multipl. Simplif if possible. 9) p - p 9p2 8p - 8 A) 4p 3-4p2 8p 2-8p B) 8 4p C) 4p 8 D) 40p p p3 Write the algebraic epression described. Simplif if possible. 60) If represents the first of four consecutive odd integers, epress the sum of the first integer and the fourth integer in terms of. A) B) C) D) Find the slope of the line that goes through the given points. 61) (9, 2) and (, -4) A) B) 3 2 C) 2 3 D) Simplif. 62) A) 1 B) 16 C) 16 D) 16 Use the quotient rule to simplif the epression. 63) s14 t s 2 t A) s 12 t 3 B) s 16 t 6 C) s 12 t D) s 12 t 4 Evaluate the epression for the given replacement values. 64) ( + 3) 2 = 4, = 3 A) 26 B) 169 C) 49 D) 13 Multipl. 6) (3 - ) 2 A) B) C) D)

12 Graph the inequalit. 66) 3 + < 4 A) B) C) D) Add. 67) 2 + (-4) A) 2 B) -2 C) -8 D) 6 Simplif. 68) - 8 ( + 1) A) B) C) D) -40 Use the Pthagorean Theorem to find the missing length in the right triangle. 69) 6 km c 8 km A) km B) 9 km C) 8 km D) 7 km 12

13 The figure shows two parallel lines intersected b a transversal. One of the angle measures is given. Find the measure of the indicated angle. 70) 2 Find the measure of 3. A) 11 B) 1 C) 2 D) 6 Perform the division. 71) A) B) C) D) + 6 Solve the inequalit. Graph the solution set. 72) < 13 A) (-19, -1) B) (-, -19) C) (1, 19) D) (-, -1) Find the product using the FOIL method. 73) ( - 3)(6-1) A) B) C) D)

14 Solve the equation. 74) (3 + 16) = 12 A) 2 3, -6 B) 0, C) 0, 16 3 D) 3 2, 6 Simplif. 7) A) 40 B) 1 40 C) 402 D) 2 40 Solve the inequalit. Graph the solution set. 76) 6k + 9 > -4 A) (-, ) ( - 6, ) B) (- 6, ) C) (- 13 6, - 6 ) D) (-, ) Solve the absolute value equation. 77) = 3 A) - 2, 3 B) 3, - C) 2, - 3 D) Find the - and - intercepts of the following linear equation. 78) = 24 A) (0, -1), (4, 0) B) (0, -1), (-4, 0) C) (0, 1), (4, 0) D) (0, 1), (-4, 0) 14

15 Simplif the epression. 79) 7 + (-13) - (-8) A) -14 B) -2 C) 12 D) 2 Simplif the epression b combining an like terms. 80) A) B) -8-1 C) - D) -8 Evaluate the function. 81) Find f(-2) when f() = A) B) 3 C) - D) 13 Find an equation of the line through the given points. Write the equation in standard form. 82) Through (4, 0) and (2, ) A) = 20 B) 4-3 = -23 C) + 2 = 20 D) = -23 Solve the sstem of equations b graphing the equations on the same set of aes. 83) = - = A) (6, -1) B) (-1, 6) C) (-1, -6) D) no solution Find the slope of the line. 84) = 2 A) m = 0 B) m = 1 C) m = -1 D) undefined slope Find the equation of the line. Write the equation using function notation. 8) Through (2, 3); perpendicular to + 3 = -3 A) f() = B) f() = C) f() = 3-9 D) f() = 3-3 1

16 Use similar triangles and the fact that corresponding sides are proportional to find the length of the segment marked with an. 86) 6 in. in. 6 in. A) 1 in. B) 1 1 in. C) in. D) 7 1 in. Simplif the rational epression ) A) B) C) D) Simplif the following. 88) z0 + A) 2 B) 0 C) z + 1 D) 16 Find the measure of angle A for the triangle shown. 89) 30 2 A) 228 B) 60 C) 48 D) 12 16

17 Match the linear equation with its graph. 90) = 2-4 A) 8 B) C) 8 D)

18 Answer Ke Testname: MATH 46 1) A 2) B 3) A 4) B ) B 6) C 7) B 8) D 9) D ) D 11) A 12) B 13) C 14) C 1) D 16) C 17) D 18) D 19) A 20) B 21) A 22) B 23) D 24) C 2) C 26) A 27) A 28) C 29) D 30) B 31) A 32) D 33) A 34) D 3) A 36) C 37) A 38) A 39) D 40) A 41) B 42) C 43) A 44) B 4) D 46) C 47) C 48) B 49) D 18

19 Answer Ke Testname: MATH 46 0) B 1) D 2) C 3) C 4) D ) C 6) D 7) D 8) B 9) C 60) D 61) B 62) D 63) D 64) B 6) B 66) A 67) A 68) A 69) A 70) B 71) A 72) A 73) D 74) A 7) A 76) D 77) C 78) B 79) D 80) D 81) C 82) C 83) C 84) D 8) D 86) B 87) A 88) A 89) C 90) A 19

Math 46 Final Exam Review Packet

Math 46 Final Exam Review Packet Question 1. Perform the indicated operation. Simplify if possible. 7 x x 2 2x + 3 2 x Question 2. The sum of a number and its square is 72. Find the number. Question 3.