Algebra Questions

Mat103 Mid Term Exam Date: _____________________ Name___________________________________________________ Show all work. Answers alone will receive no credit. Backwards-checking multiple choice answers is not considered work. M U L T IPL E C H O I CE. Cho ose the o ne a lternative that best co m p letes the state m e nt o r a nsw ers the q uestio n. Sim p lif y the expressio n b y co m b in ing li k e terms. 1) 9p 2 + 9p 3 – 7p 2 – 2p 3 A) 18p 2 – 9p 3 1) B) 9p 2 C) 2p 2 + 7p 3 D) 9p 2 p 3 Sim p lify the expressio n. Use positive expo ne nts. Assu m e varia b les re prese nt no n z ero rea l n u m bers. 4 23 3 2) (3p s ) (s ) 7 18 12 9 12 9 7 8 A) 27p s B) 27p s C) 3p s D) 27p s Perfo rm the in d icate d o peratio n a n d express the a nsw er in decim a l no tatio n. 3.6 10 – 7 3) 2 10 – 3 A) 18,000 C) 180,000,000,000 2) 3) B) 0.0000000018 D) 0.00018 So lve the e q uatio n. D o n’t fo rg et to f irst sim p lify each side o f the e q uatio n, if possib le. 4) 2(y + 7) = 3(y – 3) A) – 5 B) C) – 23 D) 23 4) F in d three o rdere d pa ir so lutio ns b y co m p leting the ta b le. T he n use the o rdere d pa irs to g ra p h the e q uatio n. 5) y = 2x + 5 5) x y 0 1 -1 1 A) B) x y 0 -5 1 -3 -1 -7 x y 0 5 1 7 -1 3 C) D) x y 0 0 1 5 -1 -5 x y 0 5 1 3 -1 7 2 G ra p h the linear e q uatio n b y f in d ing a n d p lo tting its interce pts. 6) – x + 2y = – 8 A) B) C) D) G ra p h the linear e q uatio n. 3 6) 7) x = 4 7) A) B) C) D) F in d the slo pe o f the line that passes thro ug h the g ive n po ints. 8) (1, 7) an d (4, 2) 9 5 5 A) B) C) 5 3 3 4 8) 3 D) 5 F in d the slo pe o f the line. 9) 5x + y = – 5 A) m = – 5 9) 1 C) m = 5 B) m = 5 D) m = – 1 D eterm ine w hether the o rdere d pa ir is a so lutio n o f the syste m o f linear e q uatio ns. 10) (2, – 5); x + y = -3 x – y =7 A) Yes B) N o 10) So lve the syste m o f e q uatio ns b y g ra p h ing. 11) y = x – 2 y = 3x + 4 A) (- 5, – 3) 11) B) no solut ion C) (- 3, – 5) So lve the syste m o f e q uatio ns b y the su bstitutio n m etho d. 12) x + y = 4 y = 3x A) infinit e n u m b er of solut ions C) ( , ) D) (3, 5) 12) B) no solut ion D) (1, 3) So lve the syste m o f e q uatio ns b y the a d d itio n m etho d. 13) x + 4y = – 10 2x + 4y = – 16 A) (- 6, – 1) C) no solut ion 13) B) infinit e n u m b er of solut ions D) (1, – 6) So lve. 14) Dev on p urchased t ickets to a n air show for 5 a dults a n d 2 ch ildr en. The tot al cost w as $112. The cost of a ch ild’s t icket w as $7 less t ha n t he cost of a n a dult’s t icket. Fin d t he pr ice of a n a dult’s t icket a n d a ch il d’s t icket. A) a d ult’s t icket: $19; child’s t icket: $12 B) a d ult’s t icket: $20; child’s t icket: $13 C) a d ult’s t icket: $17; child’s t icket: $10 D) a d ult’s t icket: $18; child’s t icket: $11 5 14) G ra p h the ine q ua lity. 15) x + y K – 3 15) A) B) C) D) 6 Answer Key Testname: MIDTERM EXAM SUMMER 2024 P 1) C 2) B 3) D 4) D 5) A 6) D 7) C 8) C 9) A 10) A 11) C 12) D 13) A 14) D 15) A 7