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Math070 Practice Final Test Perform the indicated operation. 1) (9x7 + 3x6 - 19) - (5x7 - 4x6 - 3) 2) -8xy(12x - 2y) 3) (5x + 3)(5x + 12) 4) (3a - 8b)(3a + 8b) 5) (12m - n)2 6) (9x - 1)(x2 - 7x + 1) Plot the points, and name the quadrant or axis in which each is located. 7) A(-2, 6), B(0, -6), C(6, -2) y 8 6 4 2 -8 -6 -4 -2 2 4 6 -2 -4 -6 -8 Graph the linear equation. 8) -9x - y = -8 y 10 5 -10 -5 5 -5 -10 10 x 8 x 9) 5y + 40x = 5 y 10 5 -10 -5 5 10 x 5 10 x 5 10 x -5 -10 10) -3x - 27y = -9 y 10 5 -10 -5 -5 -10 11) y = 2 y 10 5 -10 -5 -5 -10 Solve the equation. 12) 14x + 18 = 5x - 18 13) 11(x + 3) = 6[10 - 2(3 - x) + 10] 14) 3(y + 6) + y = 2(2 + 2y) 15) 3n + 2 + n = 2(2n + 1) Determine whether the statement is true or false. 16) -82 = (-8)2 Simplify. 17) 22 - 24 ÷ 2(5) 18) (3 - 8)3 - |-4 - 5| 2 19) [2|7 - 8| 7 - (-2)] ÷ (-2) 20) 7 + (-4)2 + 6(2) 6(8 - 6) Evaluate the expression for the given values. 21) -x2 - 3y when x = -2 and y = -4 22) y - 7x 8x + xy when x = -4 and y = 3 Write the sentence as an equation. 23) Five times the quotient of n and 11 is the opposite of 40. 24) 12 is equal to 8 subtracted from twice x. 25) Negative 55 is equal to x divided by the sum of x and 7. Name the property illustrated. 26) 7(x - 3) = 7x - 21 27) (4 + x) + z = 4 + (x + z) 28) (-2) + 2 = 0 Simplify. 29) 7x + 15y - 4x - 7.2 + 10 30) 1 (8x - 14y) - 3(2x - y) - 5y 2 Simplify. Write the answer using positive exponents only. 31) (-3a)-2 32) 3-7x-3y 2 3-4x-6y 4 33) -2 9x-3y 3 3xy -3 34) (8a-3b 3)-3(2ab -3)3 35) (xw)3 (x4w)-4 Write the number in scientific notation. 36) 5,600,000 37) 0.0000918 Write the number in standard notation. 38) 9.334 × 10 -6 Write the number in scientific notation. 39) In a certain city, the bus system carried a total of 11,300,000,000 passengers. Write this number in scientific notation. Find an equivalent expression without parentheses. 40) -(7x - 4) 41) -(-3 + 6y) 42) -(-9x + 7y - 17z) Remove parentheses and simplify. 43) -7(4r + 3) + 7(6r + 5) 44) 36r + 40 - 7(7r + 3) 45) (7x - 3y + 2) - 2(-7x + 3y - 2) Simplify. 46) [3(x - 5) - 7] + [6(x - 1) + 6] Solve. 47) V = 1 Bh for h 3 48) F = 9 C + 32 for C 5 49) a + b = s + r for s 50) x = w + y + z 9 for y 51) V = 6s3 for s3 52) 5x - 4y = 7 for y 53) F = pq 2 + prq for p 54) C = 5 (F - 32) for F 9 Solve. 55) Find 13% of 60. Solve the problem. Round to the nearest tenth of a percent. 56) What percent of 7 is 0.03? Solve the problem. Round to the nearest hundredth, if necessary. 57) What number is 160% of 335? Solve the problem. 58) A high school graduating class is made up of 376 students. There are 96 more girls than boys. How many boys are in the class? Solve. 59) The height of the tallest building in Anne's home town is 651 feet, which is about 317 feet taller than the tallest building in Laurie's home town. What is the height of the tallest building in Laurie's home town? 60) Elaine was cooking dinner for some friends. She went out to do the shopping and spent $156. She spent twice as much on food as on drinks. How much did she spend on each? Answer Key Testname: 070PRACTICE FINAL TEST 1) 4x7 + 7x6 - 16 2) -96x2y + 16xy 2 3) 25x2 + 75x + 36 4) 9a2 - 64b 2 5) 144m2 - 24mn + n2 6) 9x3 - 64x2 + 16x - 1 7) A: Quadrant II, B: y-axis, C: Quadrant IV y 8 A 6 4 2 -8 -6 -4 -2 2 -2 4 8 x 6 C -4 B -6 -8 8) y 10 5 -10 -5 5 10 x 5 10 x -5 -10 9) y 10 5 -10 -5 -5 -10 Answer Key Testname: 070PRACTICE FINAL TEST 10) y 10 5 -10 -5 5 10 x 5 10 x -5 -10 11) y 10 5 -10 -5 -5 -10 12) {-4} 13) {-51} 14) ∅ 15) {n|n is a real number} 16) False 17) -38 18) -206 19) -2 35 20) 12 21) 8 22) - 31 44 23) 5 n = -40 11 24) 12 = 2x - 8 25) -55 = x x+7 26) distributive property 27) associative property of addition 28) additive inverse property 29) 3x + 15y + 2.8 30) -2x - 9y Answer Key Testname: 070PRACTICE FINAL TEST 31) 32) 1 9a2 x3 27y 2 33) x8 9y 12 34) a12 64b 18 35) x19w 36) 5.6 × 10 6 37) 9.18 × 10-5 38) 0.000009334 39) 1.13 × 1010 40) -7x + 4 41) 3 - 6y 42) 9x - 7y + 17z 43) 14r + 14 44) -13r + 19 45) 21x - 9y + 6 46) 9x - 22 47) h = 3V B 48) C = 5 (F - 32) 9 49) s = a + b - r 50) y = 9x - w - z 51) s3 = V 6 52) y = 5x - 7 4 53) p = F 2 q + rq 54) F = 9 C + 32 5 55) 7.8 56) 0.4% 57) 536 58) 140 boys 59) 334 ft 60) Drinks: $52; food: $104