0C. 115,11.3,107,10.21,10.2,114
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1 Study Island Keystone Algebra 1 Module 1 Name Compare and Order Numbers 1. Order the following from greatest to least ?, , 110%,10.2 0A. 110%, O B. 11.3, 10.21,10x,10.2,110% 0C. 115,11.3,107,10.21,10.2,114 C ,110'%, 10, 10.21, 10.2 Compare and Order Numbers 2. Select the correct symbol. 3 3 OA. > CAB.= O C. <
2 Compare and Order Numbers 3. Order the following list of numbers from least to greatest. Simplify Square Roots 4. Simplify. V605 O A. 55 O B. 5'11 0 C. 11x5 O D. 1212
3 Simplify Square Roots 5. Simplify. ~b 0 A. 5NF4-0 B. 16\F5 0 C. 20,[4-0 D. 4r Simplify Square Roots 6. Simplify. O A B. 9~ 0 C. 81F2 O D. 9
4 GCF & LCM of Monomials 7. 39uv2w4 33u3vw3 What is the greatest common factor (GCF) of the monomials shown above? OA. 3t,3 V2 w4 0 B O 0 C. 3uvw3 0 D. 429uvw3 GCF & LCM of Monomials x'yz 77x4/ What is the greatest common factor (GCF) of the monomials shown above? OA. 7x 4y2 0 B. 231 x4y 0 C. 231x 6/ O D. 7x2yz
5 GCF & LCM of Monomials 9. Look at the two monomials below. 12X 4,,3Z2 20X3y4Z What is the least common multiple (LCM) of the monomials shown above? 0 A. 60x7//3 0 B. 4X 712 O C. 4x3Y z Q D. 60X4//2
6 Simplify & Evaluate Expressions 10. Simplify the following expression. O A. 0? C. 0 D. 1 7 Simplify & Evaluate Expressions 11. Evaluate the following expression when n =-2. 14n OA. 5 0 B. 1 O C. 3 0 D. 11 Simplify & Evaluate Expressions 12. Simplify: e A B C. 170 OD. 10
7 Estimation 13. Peter's car can travel about 29 miles per gallon of gas. If the car has used 24 gallons of gas, approximately how far has Peter driven? OA. 5 0 B C. 696 OD. 53 Estimation 14. Fred is picking watermelons for a summer job. 4n Monday, Fred picked pounds of watermelon. The lightest watermelon weighed pounds, and the heaviest watermelon weighed 15.5 pounds. Which is the best estimate of the number of watermelons Fred picked on Monday? 0 A. 23 watermelons C B. 153 watermelons 0 C. 307 watermelons 0 D. 25 watermelons Estimation 15. A lumber company is able to clear about 1 acre of dense forest each day. Assuming that, on average, each acre of forest contains large sized trees, what is a good estimate of the number of large trees that the company could clear in 7 days? A. 2,100 trees 0 B. 3,600 trees 0 C. 4,500 trees 0 D. 6,000 trees
8 Polynomial Expressions 16. Simplify: (8x 2 + 2x + 5) + (3x 2 + 7x - 2) OA. 11x2 + 5x - 3 OB.11x2 +5x+3 oc.11x2 +9x+3 OD. 5x2 +9x+7 Polynomial Expressions 17. Simplify: (6x3 +2X 2 +7)+ (4X 3-4x - 2) OA. 2x3 +2X 2-4x+ 9 0B.10x3-4x-5 OC.14x3 +2x2-4x-9 0D.10x3 +2x2-4x+5 Polynomial Expressions 18. Simplify: (9x2 + 6x - 3) - (42 + 4x - 9) OA. 13x2 + 2x + 12 OB. 13x2 +2x+6 O C. 5x2 + 10x + 6 0D.5x2+2x+6
9 Factor Algebraic Expressions 19. Factor the following expression completely. A. (x - 3)(x3 + 27) B. (x2-9)(x2 +9) QC. (x-3)(x+3)(x2 +9) 4 D. (x - 3)(x + 3)(x - 3)(x + 3) X4-81 Factor Algebraic Expressions 20. Factor the following expression completely. * A. 3(x - 1)2 * B. (3x + 1)(x - 1) *C.3(x2-1) * D. 3(x + 1)(x - 1) 3x2-3 Factor Algebraic Expressions 21. Factor the polynomial below. 0 A. 2x B. (x + 10)2 0C.x2 +25 D. (x + 5)2 x2 + 10x + 25
10 Rational Algebraic Expressions 22. Simplify the following expression. 3xy 2 9x 2y + 3x2y2 x2y 2 0 A. 3,vY x 2 Y 2 0B. Y x +3 0C Y 43 D. 3x - 9y Rational Algebraic Expressions 23. Simplify the following expression x]-8 ab. q_t14 0 A. 2x9 0 B. 4x4 0 C. -2x9 a D. 2X4
11 Rational Algebraic Expressions 24. Simplify the following expression. O A. x-7 CA B. x+7 O C. x-9 O D. x-+j a:2 +16'T +63 '+7 Linear Equations 25. Erica went shopping for new clothes for school. She bought a pair of jeans for $59.36 and several shirts for $12.04 each. If x represents the number of shirts she bought, which of the following equations should be used to find y, the total cost of Erica's shopping trip? * A. x = $12.04y + $59.36 B. x = $59.36y + $12.04 * C. y = $12.04x + $59.36 * D. y = $59.36x + $12.04
12 Linear Equations 26. Solve for x. 2(6x 10) = 16x 0 A. x = 5 Linear Equations 27. A company manufactures and sells video games. A survey of video game stores indicated that at a price of $83 each, the demand would be 400 games, and at a price of $43 each, the demand would be 1,600 games. If a linear relationship between price and demand exists, which of the following equations models the price-demand relationship? (Let x represent the price per video game and y represent the demand.) J A. Y = 30x B. Y = 30x 2,030 () C. Y = 30x 0 D. Y = --3ax
13 Systems of Linear Equations 28. Use elirnination to f irid the solution to the s v s terra of equations. 0 A. 7z + 4y 20 4x + 5y = B, 43 y _ ~1 O c. _ 15 4 y 1
14 Systems of Linear Equations 29. 6x + 9y = 9 The system of equations above is g I i 4 7 i ~ f j i i 1 -~ -2 -~ - Nn6 the solution to the system. 0 A.x = 3,y= 4 0 g,x=3,:r=-3 0 C.x= 0,y= -1 0 D.x= 9, y = 1
15 Systems of Linear Equations 30. The following system of equations is graphed below. Find the solution to the system. -4x - 4y = -28-2x + 2Y = I ~ i I I 0 N M N 0A.x=6,y=2 0B.x=5,y=3 0C.x=2, y=5 0D.x=5,y=2
16 Linear Inequalities 31. Solve the following inequalities. so < 10(,c + 1) < loo Q A. 9 <x <18 B. 7 <x <18 0 0C.7<x<16 0 D.9<x<16 Linear Inequalities 32. Solve the following compound inequality. -23<5x+2<27 oa.-6<x<5 ob.x<5 C.C.-5<x<6 od.-5<x<5
17 Linear Inequalities 33. Solve the following compound inequality. OA. x<-1 OB.x<-2 OR x>8 0C.-1 <x<7 OD.x<-1 OR x>7 4x+4<0 OR 5x2>33
18 Systems of Linear Inequalities 34. Graph the following system of inequalities. y> %X-2 y<-4x-2 VNEMERNMEM ~`~i 111 ME MEMETIMEMEEMON WOMMMEMEN EM ME E N UMxl -. MOMMEEM MME Jf iy ~ j t L~.i `ti~l"{ GruiLf a~ MENNOME MWOMPOMEMENEEN ~k Y JUt AR EMEM M W. Y RUMMANNEE.~ i t:y.,~~ ~~~.:re NEE ]MANNOM AMEMME I MEEMEN TRWORROWN MEMOMMEN S M M M EEO MEMON MME M NOMMEN O ERN ME M Y X Y PEEMOMMEME E rzre` MM N U Yr n..,. hut, AM ME EMEN RAMM EMM EEME UMWENEMEMEMEN 30M E ~ ~ ~~~ ~~~ NOON O'OMM UiMMOM M MENN EOM EE MMMMME NOMM NE ME M ONEMEMEM X. Y NN REE E N MMENNN E E OMM EMEMMEN EME EMM MME EN ENNEEMENNEEN MEEMMMMEEMEMNO ~~~~~~' _.""~-:~ E ENO Z. X o A. X C) B. W O G. Z od.y
19 Systems of Linear Inequalities 35. Choose the system of inequalities that best matches the graph below. Y x A. y<2x+2 y <x B. y < 2x 0 y<x C. y<x-2 0 y > -x D. y<2x+2 0 y > -x
20 Systems of Linear Inequalities 36. Which system of inequalities is represented by the graph below? Y 1, ' X Y>1 0 A. Y - 3x - 1 Y < 1 > 1 s 0 C. y < --2x _ 1 v D. < 3x - 1
21 Answers 1. C 2. C 3. D 4. C 5. D 6. B 7. C 8. D 9. D 10. C 11. A 12. D 13. C 14. D 15. A 16. C 17. D 18. D 19, C 20. D 21. D 22. C 23. D 24. D 25. C 26. D 27. D 28. A 29, D 30. D 31. C 32. D 33. D 34. A 35. D 36. D
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