Straighterline MAT099 Introduction Algebra Graded Exam 3 (New Version June 2024)

Question 1 Correct 4.16 points out of 4.16 Factor out the greatest common factor first. Then factor by grouping. 10t5 + 50t4 − 15t3 − 75t2 Select one: A. 5t2(2t2 − 3)(t + 5) B. (t + 5)(10t4 − 15t2) C. 5t2(t + 5)(2t − 3) D. (t2 + 5t)(10t3 − 15t) Question 2 Correct 4.17 points out of 4.17 Solve the problem. The shorter leg of a right triangle is 7 cm less than the longer leg. The length of the hypotenuse is 2 cm more than the longer leg. Find the length of the hypotenuse. Select one: A. 8 cm B. 15 cm C. 17 cm D. 19 cm Straighterline MAT099 Introduction Algebra Graded Exam 3 (New Version June 2024) We are a team of experts offering class attendance for all Straighterline, Online ATI, HESI, NCLEX, Portage Learning, Sophia etc courses (including final proctored exams!!). We also write essays, discussion posts, research papers and school assignments. Should you need any of these services, Contact us via email: or : +1 (540) 753-5914. Guaranteed Passing! MAT099_MH_V3 | Topic 10: Powers and Roots Started on State Finished Completed on Time taken 1 hour 44 mins Points GradeQuestion 4 Incorrect 0.00 points out of 4.17 Factor completely. c2 − 1 100 Select one: A.(c − 10 1 )(c + 10 1 ) B. The binomial is prime. C.(c − D.(c − 1 100)(c + 1 100) 1 10)2 Solve the equation. 16s2 = 81 Select one: A.{− 9 4 , 9 4} B.{4 9} C.{− 4 9 , 4 9} D.{9 4} Question 3 Correct 4.17 points out of 4.17Question 6 Correct 4.17 points out of 4.17 Solve the problem. Find the polynomial that factors to (2k + 1)(3k − 4). Select one: A. 6k2 − 11k − 4 B. 6k2 + 4 C. 6k2 − 4 D. 6k2 − 5k − 4 Factor completely. x2 − 16 25 Select one: A.(x − B.(x − C.(x − 16 25)(x + 1) 4 5 )(x + 4 5) 4 5 )2 D.(x + 4)2 5 Question 5 Correct 4.17 points out of 4.17Question 8 Incorrect 0.00 points out of 4.17 Factor completely. 81t4 − 1 Select one: A. Prime B. (9t2 + 1)(3t + 1)(3t − 1) C. (9t2 + 1)(9t2 − 1) D. (9t2 + 1)(3t − 1)2 Solve the equation. 3t2 + 11t − 20 = 0 Select one: A. t = − 5 , t = 4 3 B. t = 4 , t = −5 3 C. t = 5 , t = −4 3 D. t = −34 , t = 5 Question 7 Correct 4.17 points out of 4.17Question 10 Correct 4.17 points out of 4.17 Evaluate. (4)2 5 Select one: A. 8 25 B. 16 5 C. 8 5 D. 16 25 Solve the equation using the zero product rule. 26(y + 6)(y + 11) = 0 Select one: A. y = −6, y = −11 B. y = 6, y = 11 C. y = 6, y = 11, y = 26 D. y = −6, y = −11, y = 26 Question 9 Correct 4.17 points out of 4.17Question 12 Correct 4.17 points out of 4.17 Find a rational expression in simplest form to represent the perimeter of the rectangle. Select one: d2 − 5d + 1 A. d2 − 25 2(d2 − 5d + 1) B. d2 − 25 2(d + 1) C. d2 − 25 D. d + 1 d2 − 25 Identify the restricted values. 4y2 − 4 y2 + 1 Select one: A. y = 4, y = 1, y = −1 B. y = −1 C. y = 1, y = −1 D. There are no restricted values. Question 11 Correct 4.17 points out of 4.17Question 14 Correct 4.17 points out of 4.17 Write the rational expression in lowest terms. 5c2 + 33c + 18 c2 + 15c + 54 Select one: A. 5c + 3 c + 9 B. cannot simplify 5c2 + 33c + 1 C. c2 + 15c + 3 D. 5c + 3 Solve the proportion. 7 = 42 3 x Select one: A. x = 126 B. x = 3 C. x = 18 D. x = 1 6 Question 13 Correct 4.17 points out of 4.17Question 16 Correct 4.17 points out of 4.17 Find a rational expression in simplest form to represent the perimeter of the triangle. Select one: A. 8x + 5 4x2 + 9x B. 13 4x2 + 9x C. 13 8x2 D. 57x + 10 8x2 Write the rational expression in lowest terms. 4xz + 6xw − 14yz − 21yw 18xz − 4xw − 63yz + 14yw Select one: (2x − 7y)(2z + 3w) A. 18xz + 14xw − 4yz − 63yw B. Prime C. 2z + 3w 9z − 2w D. 57 Question 15 Incorrect 0.00 points out of 4.17Question 18 Correct 4.17 points out of 4.17 Find the least common denominator, then convert each expression into an equivalent expression with denominator equal to the least common denominator. 3 37d, d − 3 2 Select one: A. 3(d − 3) 74d 37d(d − 3) , 37d(d − 3) B. 3 74 37d(d − 3) , 37d(d − 3) C. 111d , 74(d − 3) D. 37d(d − 3) 37d(d − 3) 111(d − 3) 37d(d − 3) , 37d(d − 3) 74d Determine the domain of the rational function. g(t) = 4t − 9 t2 − 13t + 36 Select one: A. (−∞, −9) ∪ (−9, −4) ∪ (−4, ∞) B.(− ∞, − 9)∪(− 9 , ∞) 4 4 C. (−∞, 4) ∪ (4, 9) ∪ (9, ∞) D.(− ∞, 9)∪(9 , ∞) 4 4 Question 17 Correct 4.17 points out of 4.17Question 20 Correct 4.17 points out of 4.17 Substitute the given number(s) into the expression and simplify (if possible). 4(v2 − 16) ; v = 4. v2 + 9 Select one: A. undefined B. 48 25 C. 4 25 D. 0 Identify the restricted values. 3n + 12 13 − 4n Select one: A. n = −4, n = 13 4 B. n = 13 4 C. There are no restricted values. D. n = −4 Question 19 Correct 4.17 points out of 4.17Question 22 Correct 4.17 points out of 4.17 Simplify the expression completely. Assume that all variables represent positive real numbers. ( sqrt[3]{64a^{18}b^9} ) Select one: A. ( 8a^6b^3 ) B. ( 61a^{15}b^6 ) C. ( 4a^6b^3 ) D. ( 2a^3b^3 ) Question 23 Correct 4.17 points out of 4.17 Perform the operations and simplify. ( 5 sqrt{28}+15 sqrt{7} ) Select one: A. ( 20sqrt{7} ) B. ( 5 sqrt{28}+15 sqrt{7} ) C. ( 25sqrt{7} ) D. ( 20sqrt{35} ) Write in radical form and evaluate. 321/5 Select one: A. 32 5 1 B. 2 C. ( displaystylefrac{5}{32} ) D. (2) Question 21 Correct 4.17 points out of 4.17Question 25 Correct 4.17 points out of 4.17 Simplify completely. The answer should contain only positive exponents. ( (125a^{12}b^{9/4})^{4/3} ) Select one: A. ( 5a^{16}b^{3}) B. ( 5a^{48}b^{9}) C. ( 625a^{48}b^{9}) D. ( 625a^{16}b^{3}) Question 26 Correct 4.17 points out of 4.17 Simplify completely. ( sqrt[5]{2} cdot sqrt[5]{10} ) Select one: A. ( 2sqrt[25]{5} ) B. ( sqrt[25]{20} ) C. ( sqrt[5]{20} ) D. ( 2sqrt[5]{5} ) Perform the operations and simplify. Assume all variables represent positive real numbers. ( left( sqrt{11}+kright)^2 ) Select one: A. ( 11+2k sqrt{11}+k^2 ) B. ( 121+k^2 ) C. ( 121+2k sqrt{11}+k^2 ) D. ( 11+k^2 ) Question 24 Correct 4.17 points out of 4.17Question 28 Incorrect 0.00 points out of 4.17 Evaluate the root without using a calculator or note that root is not a real number. ( sqrt[4]{81} ) Select one: A. (3) and (-3) B. not a real number C. (-3) D. (3) Question 29 Correct 4.17 points out of 4.17 Fill in the blank. ( sqrt[5]{4} cdot sqrt[5]{(quad)} = sqrt[5]{4^5} =4 ) Select one: A. ( sqrt[5]{4^4} ) B. ( 4^4 ) or (256) C. (4) D. ( 4^5 ) or (1,024) Write an equation and solve. If the area of a circle is (A) and the radius is (r), then the radius of the circle is given by ( r= sqrt {displaystylefrac{A}{pi} }. ) If a circle has an area of ( 103.3;text{ft}^2 ), what is the radius of the circle to the nearest tenth? Select one: A. ( 5.7;text{ft} ) B. ( 16.4;text{ft} ) C. (3.2;text{ft} ) D. (8.2;text{ft} ) Question 27 Correct 4.17 points out of 4.17Quiz navigation 1 2 3 4 28 29 30 5 6 7 8 9 25 26 27 Show one page at a time Finish review © 2023 StraighterLine. All rights reserved Simplify completely. ( sqrt[3]{1,512} ) Select one: A. ( 6sqrt[3]{7} ) B. ( 6sqrt[3]{42} ) C. (7 sqrt[3]{6} ) D. Cannot be simplified Question 30 Correct 4.17 points out of 4.17