英文版高一数学复习题(含答案)

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高一英语高等数学基础概念单选题40题

高一英语高等数学基础概念单选题40题1.She has a large ______ of books.A.collectionB.numberC.groupD.amount答案：A。

“collection”表示“收藏品、收集物”，在这里指大量的书籍收藏；“number”通常修饰可数名词，后面应该跟可数名词复数，而“books”虽然是可数名词复数，但这里说的是整体的书籍收藏，不是单纯的数量；“group”表示“组、群”，不符合语境；“amount”通常修饰不可数名词，“books”是可数名词复数。

2.His speech was full of ______ words.A.bigB.longC.floweryD.high答案：C。

“flowery”表示“辞藻华丽的”，符合语境；“big”表示“大的”，不合适；“long”表示“长的”，与题意不符；“high”表示“高的”，在这里不恰当。

3.The artist used bright ______ in his painting.A.colorsB.picturesD.lines答案：A。

“colors”表示“颜色”，画家在画中使用明亮的颜色符合逻辑；“pictures”表示“图片”，不太符合；“shapes”表示“形状”，不是题干强调的重点；“lines”表示“线条”，也不太符合题意。

4.She has a sweet ______.A.voiceB.soundC.noiseD.music答案：A。

“voice”通常指人的嗓音；“sound”泛指各种声音；“noise”表示噪音；“music”表示音乐。

这里说她有甜美的嗓音，所以选A。

5.He is very ______ about his work.A.carefulB.carelessC.careD.carefully答案：A。

“careful”表示“细心的”，符合语境；“careless”表示“粗心的”，与题意不符；“care”是动词或名词，在这里不合适；“carefully”是副词，题干中需要形容词来修饰人。

（完整版）英文数学题（1）

（完整版）英文数学题（1）1、In 2004, 16 June falls on a Wednesday. On what day of the week will 16 June fall in 2010?2、In a magic square the sum of the numbers in each row, in each diagonal and in each column are equal. In this magic square the value of x is:3、If half of a number is 30, then three-quarters of that number is____.4、The sum of the digits of the following product999×5555、Three positive integers have a sum of 28. The greatest possible product that these integers can have is_____.6、Jack was trying to tessellate regular pentagons. He managed the following figure.The size of angle .a. is______.7、If the area of the shaded region of the regular hexagon in the diagram below is 36 cm2, the area of the whole hexagon in cm2 is_____.8、In what follows, □and Δare different numbers.When 503 is divided by □the remainder is 20.When 503 is divided by Δ the remainder is 20.When 493 is divided by □x Δthe remainder is_____.9、A lady, her brother, her son and her daughter (all related by birth) played volleyball. The worst player's twin (who is one of the four players) and thebest player are of opposite sex.The worst player and the best player are of the same age.Who cannot be the worst player(s)?A) brother only B) daughter onlyC) son and daughter only D) lady and daughter onlyE) lady only10、If you continue the given number pattern, in what row and in what position in that row will the number 320 be?1 -------------- row 12 3 -------------- row 24 5 6 -------------- row 37 8 9 10 -------------- row 4The answers are given in the order of row ; position.参考答案：1、Wednesday2、123、454、27（求数位上上的数字之和）5、28=9+9+10，因此答案为8106、36度7、1088、503-20=483 483=3×7×23＝21×23，因此□x Δ＝483，因此此题余数是10.9、D 10、25，201、Did you know? In the decimal number system (base 10) ten different digits, 0 to 9, are used to write all the numbers. In the binary number system (base 2) two different digits are used, i.e. 0 and 1.Which one of the following numbers is not a valid number in theoctal number system (base 8)?A) 128 B) 127 C) 126 D) 125 E) 1243、The number of diagonals that can be drawn in a regular polygon with twenty sides (icosagon) is_____.4、If a and b are integers, 10Ä3=1,152Ä7=3, and then 379Ä6 is equal to_____.5、Two numbers are in the ratio 2 : 3. When 4 is added to each number the ratio changes to 5 : 7.The sum of the two original numbers is____.6、The greatest number of Mondays which can occur in 45 consecutive days is____7、Saul plays a video game in which he scores 4 for a hit and lost 6 for a miss. After 20 rounds his score is 30. The number of times he has missed is____.8、Three girls A, B and C run in a 100 m race. When A finishes,B is 10 m behind A and when B finishesC is 20 m behind B. How far in metres was C from A when A finished?(Let’s assume all the athletes run at a constant speed)9、The areas of the faces of a rectangulabox are 84 cm2 , 70 cm2and 30 cm2.The volume of the box in cm3 is____.10、You have 3 weights: 1 kg, 3 kg and 9 kg as well as an equal arm balance, as shown. How many different weight objects can you weigh with these three?[Remember the weights may be placed on either side]参考答案：1、A 考察我们学过的简单的进制问题，显然8进制中没有8出现2、B 用排除法3、170 找规律，公式为n×（n-3）÷24、1 定义新运算，就是求379÷6的余数。

高一英语数学逻辑思维训练单选题30题

高一英语数学逻辑思维训练单选题30题1.There are 10 apples and 5 oranges. What's the total number of fruits?A.15B.20C.25D.30答案：A。

本题考查简单的数学加法运算。

10 apples 和5 oranges，总数是10+5=15。

选项B、C、D 分别是错误的数字，与题目中的数学逻辑不符。

2.Tom has 8 pencils. He gives 3 pencils to Jerry. How many pencils does Tom have now?A.5B.6C.7D.4答案：A。

考查减法运算。

Tom 原本有8 支铅笔，给了Jerry 3 支，8-3=5。

选项B、C、D 的数字与题目中的数学逻辑不对应。

3.There are 12 students in a class. If 4 new students join the class, how many students are there in total?A.16B.18C.20D.14答案：A。

考查加法运算。

原本有12 个学生，4 个新学生加入，12+4=16。

选项B、C、D 的数字与题目中的数学逻辑不符。

4.Lily has 15 flowers. She gives away 8 flowers. How many flowers does she have left?A.7B.6C.8D.9答案：A。

考查减法运算。

15 朵花拿走8 朵，15-8=7。

选项B、C、D 的数字与题目中的数学逻辑不对应。

5.There are 20 books on the shelf. 5 books are taken away. How many books are left on the shelf?A.15B.14C.16D.18答案：A。

考查减法运算。

高中数学英文试题及答案

高中数学英文试题及答案High School Mathematics English Exam Questions and AnswersQuestion 1:Solve the following quadratic equation for x:\[ 2x^2 - 7x + 3 = 0 \]Answer 1:To solve the quadratic equation $ 2x^2 - 7x + 3 = 0 $, we can use the quadratic formula:\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \]where $ a = 2 $, $ b = -7 $, and $ c = 3 $. Plugging in the values, we get:\[ x = \frac{-(-7) \pm \sqrt{(-7)^2 - 4(2)(3)}}{2(2)} \]\[ x = \frac{7 \pm \sqrt{49 - 24}}{4} \]\[ x = \frac{7 \pm \sqrt{25}}{4} \]\[ x = \frac{7 \pm 5}{4} \]So, the solutions are $ x = 3 $ and $ x = \frac{1}{2} $.Question 2:Find the derivative of the function $ f(x) = 3x^4 - 2x^3 + x^2 + 5 $.Answer 2:To find the derivative of the function $ f(x) = 3x^4 - 2x^3 + x^2 + 5 $, we apply the power rule for derivatives:\[ f'(x) = 4 \cdot 3x^3 - 3 \cdot 2x^2 + 2 \cdot x + 0 \]\[ f'(x) = 12x^3 - 6x^2 + 2x \]Question 3:Evaluate the definite integral of the function $ g(x) = 4x - 3 $ from $ x = 1 $ to $ x = 4 $.Answer 3:To evaluate the definite integral of $ g(x) = 4x - 3 $ from $ x = 1 $ to $ x = 4 $, we integrate the function and then subtract the value of the integral at the lower limit from the value at the upper limit:\[ \int_{1}^{4} (4x - 3) \, dx = \left[ 2x^2 - 3x\right]_{1}^{4} \]\[ = (2 \cdot 4^2 - 3 \cdot 4) - (2 \cdot 1^2 - 3 \cdot 1) \] \[ = (32 - 12) - (2 - 3) \]\[ = 20 - (-1) \]\[ = 21 \]Question 4:Simplify the expression $ \frac{2x^2 - 4x + 2}{x - 1} $ by factoring.Answer 4:To simplify the expression $ \frac{2x^2 - 4x + 2}{x - 1} $, we factor out the greatest common factor from the numerator: \[ \frac{2(x^2 - 2x + 1)}{x - 1} \]Notice that the numerator is a perfect square trinomial:\[ \frac{2(x - 1)^2}{x - 1} \]Now, we can cancel out the common factor $ (x - 1) $ from the numerator and denominator:\[ 2(x - 1) \]So, the simplified expression is $ 2x - 2 $.Question 5:Determine the equation of the line that passes through the points $ (2, 3) $ and $ (-1, -2) $.Answer 5:To find the equation of the line passing through the points $ (2, 3) $ and $ (-1, -2) $, we first find the slope $ m $ of the line:\[ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 3}{-1 - 2} = \frac{-5}{-3} = \frac{5}{3} \]Now, using the point-slope form of a line equation $ y - y_1 = m(x - x_1) $, we can plug in one of the points and the。

高一数学英文考试卷

高一数学英文考试卷High School Mathematics Exam for Grade 10 - English VersionInstructions:- Answer all questions in English.- Show all your working out in your answer sheet.- Use the back of the page if necessary.Section A: Multiple Choice Questions (20 marks)1. What is the value of $ x $ in the equation $ 3x + 5 =20 $?A) 3B) 4C) 5D) 62. The sum of two numbers is 10. If one number is 4, what is the other number?A) 6B) 5C) 4D) 33. Which of the following is not a quadratic equation?A) $ x^2 + 3x + 2 = 0 $B) $ 2y^2 - 3y + 1 = 0 $C) $ 5z + 7 = 0 $D) $ 4w^2 + 6w + 2 = 0 $4. The graph of the function $ f(x) = x^2 $ is:A) A straight lineB) A parabola opening upwardsC) A parabola opening downwardsD) A hyperbola5. What is the slope of the line represented by the equation $ y = 2x + 3 $?A) 2B) 3C) -2D) -3... (Continue with 15 more multiple choice questions) ...Section B: Short Answer Questions (30 marks)1. Simplify the expression $ \frac{3x^2 - 7x + 2}{x - 1} $ by factoring.2. Solve the system of equations:\[\begin{cases}x + y = 5 \\2x - y = 1\end{cases}\]3. Find the vertex of the parabola given by the equation $ y= -3(x - 2)^2 + 5 $.4. Convert the decimal 0.75 to a fraction in simplest form.5. Determine the equation of the line that passes through the points (2, 3) and (-1, -2).... (Continue with 5 more short answer questions) ...Section C: Long Answer Questions (50 marks)1. A rectangular garden is to be enclosed with a fence. If the length of the garden is 10 meters more than twice its width, and the perimeter is 56 meters, find the dimensions of the garden.2. A company produces two types of widgets. The cost to produce one widget of type A is $3, and the cost to produce one widget of type B is $5. If the company has a budget of $250 to spend on production and they want to produce at least 20 widgets of type A, how many of each type should they produce to minimize costs?3. A ball is thrown vertically upwards with an initial velocity of 20 meters per second. The height $ h $ of the ball after $ t $ seconds can be modeled by the equation$ h(t) = -5t^2 + 20t $. Find the time it takes for the ball to reach its maximum height and what that height is.4. A sequence is defined by the recursive formula $ a_n =4a_{n-1} - 3 $ with the first term $ a_1 = 1 $. Find thefirst 5 terms of the sequence.5. Prove that the square of any odd integer can be expressed as the sum of two consecutive even numbers.... (Continue with 5 more long answer questions) ...Section D: Essay Questions (Bonus - 10 marks)1. Discuss the importance of mathematical literacy in everyday life and how it can be beneficial in various professions.2. Explain how mathematical models are used in predicting natural phenomena, such as weather patterns or population growth.End of ExamPlease ensure you have answered all questions and handed in your completed answer sheet. Good luck!。

英语数学试题及答案

英语数学试题及答案一、选择题（每题2分，共20分）1. What is the value of $ x $ in the equation $ 2x + 5 =17 $?A. 3B. 6C. 8D. 102. If the perimeter of a rectangle is 24 cm and its length is8 cm, what is the width?A. 4 cmB. 6 cmC. 8 cmD. 10 cm3. The sum of two numbers is 15 and their difference is 5. What is the larger number?A. 5B. 7C. 10D. 154. What is the area of a triangle with a base of 10 cm and a height of 5 cm?A. 25 cm²B. 30 cm²C. 50 cm²D. 100 cm²5. If a car travels at a speed of 60 km/h for 2 hours, howfar does it travel?A. 60 kmB. 90 kmC. 120 kmD. 150 km6. The product of two numbers is 36. If one number is 4, what is the other number?A. 6B. 8C. 9D. 127. What is the value of $ y $ in the equation $ y - 3 = 12 $?A. 9B. 10C. 15D. 188. The average of three numbers is 10. If two of the numbers are 8 and 12, what is the third number?A. 10B. 12C. 14D. 169. If 20% of a number is 100, what is 60% of the same number?A. 300B. 400C. 500D. 60010. The ratio of boys to girls in a class is 3:2. If thereare 24 girls, how many boys are there?A. 18B. 24C. 36D. 48二、填空题（每题3分，共15分）11. Solve the equation $ 3x - 7 = 14 $. The value of $ x $ is _______.12. The circumference of a circle is $ 2\pi r $, where $ r $ is the radius. If the circumference is 44 cm, the radiusis _______.13. If the area of a square is 64 cm², the length of eachside is _______.14. The volume of a cube is given by $ V = s^3 $, where$ s $ is the side length. If the volume is 125 cm³, theside length is _______.15. The sum of three consecutive even numbers is 48. The middle number is _______.三、简答题（每题5分，共30分）16. A rectangular garden is 50 meters long and 30 meters wide. Calculate the area of the garden.17. A company produces 300 units of a product every day. If each unit sells for $10, calculate the daily revenue.18. If a car decreases its speed by 20 km/h, its travel time for a certain distance increases by 10 minutes. If theoriginal speed was 60 km/h, what is the distance?19. A school has 480 students. If 40% of the students are in the science club, how many students are in the science club?20. A triangle has sides of lengths 5 cm, 12 cm, and 13 cm.Is it a right triangle? Explain why or why not.四、解答题（每题10分，共35分）21. A ladder placed against a wall makes a 75° angle withthe ground. If the foot of the ladder is 4 meters away fromthe wall, how long is the ladder?22. A bank account earns simple interest. If $2000 is deposited and the interest rate is 5% per annum, calculatethe total amount after 3 years.23. A manufacturer produces two types of products: Type A and Type B. The profit from Type A is $5 per unit, and from TypeB is $10 per unit. If the manufacturer produces 100 units of Type A and 200 units of Type。

高一英语高等数学基础概念练习题40题

高一英语高等数学基础概念练习题40题1.She has a beautiful _____.A.voiceB.soundC.noiseD.whisper答案解析：A。

“voice”通常指人的嗓音；“sound”泛指各种声音；“noise”是噪音；“whisper”是低语声。

这里说她有美丽的，应该是嗓音，所以选A。

2.The book is very _____.A.interestingB.interestedC.interestD.interestingly答案解析：A。

“interesting”表示“令人感兴趣的”，通常修饰物；“interested”表示“感兴趣的”，通常修饰人；“interest”是名词或动词；“interestingly”是副词。

这里书很有趣，修饰书用“interesting”，所以选A。

3.He is a _____ student.A.hard-workingB.work-hardC.hard-workD.working-hard答案解析：A。

“hard-working”是合成形容词，表示“勤奋的”；“work-hard”和“working-hard”不是正确的表达；“hard-work”是名词短语。

这里说他是一个勤奋的学生，用“hard-working”，所以选A。

4.There are many _____ in the park.A.peopleB.peoplesC.personD.persons答案解析：A。

“people”表示“人，人们”，是集合名词，本身就是复数形式；“peoples”表示“民族”；“person”是个体名词，单数形式；“persons”是“person”的复数形式，但通常较少使用。

这里说公园里有很多人，用“people”，所以选A。

5.The food tastes _____.A.goodB.wellC.badlyD.beautifully答案解析：A。

高一数学思维英语阅读理解25题

高一数学思维英语阅读理解25题1<背景文章>Mathematicians throughout history have made indelible contributions to the development of human thought. One of the most renowned mathematicians is Euclid. Euclid is known as the father of geometry. His work "Elements" laid the foundation for the study of geometry for centuries to come. In "Elements", Euclid presented a systematic and logical approach to geometry, starting from a few basic axioms and deducing a vast number of theorems.Another great mathematician is Archimedes. Archimedes made significant contributions to mathematics and physics. He is famous for his discovery of the principle of buoyancy. Archimedes also made important contributions to the calculation of areas and volumes. His methods were innovative and ahead of his time.Gauss is also a remarkable figure in the history of mathematics. Gauss is often referred to as the prince of mathematicians. He made fundamental contributions to many areas of mathematics, including number theory, geometry, and probability theory. Gauss's work on number theory, in particular, is highly regarded and has had a profound impact on the field.These mathematicians and many others have shaped the course ofmathematics and have had a lasting influence on our understanding of the world.1. Euclid is known as the father of ___.A. algebraB. geometryC. calculusD. trigonometry答案：B。

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1.If 3x – 5 = 16, then x =A.–7B.311C.4D.7E.182.If x x 479+=, what is the value of x?A.321B.7C.14D.21E.35Note: Figure not drawn to scale.3.In the figure above, what is the value of x?A.20B.50C.60D.80E.1404.At a flooring center, you can purchase carpet in one of five styles and in one of 10 colors. How many different style-color combinations are possible at this flooring center?A.15B.36C.40D.45E.505.In the xy -plane, a circle has its center at pointC (0, 0) and contains the point P (–3, 4). Under the translation that moves point C to (–2, 3), where will point P be located after this translation?A.(–1, 1)B.(1, –1)C.(–3, 2)D.(–4, 5)E.(–5, 7)6.If f x x x 2532=-+^^h h, what is the value of f (5)? A.0B.151C.252D.353E.47.According to the data in the graph above, between which two consecutive days of the week was the percent increase in temperature the greatest?A.Sunday to Monday B.Monday to Tuesday C.Wednesday to Thursday D.Thursday to Friday E.Friday to Saturday30°20°10°60°70°50°40°T e m p e r a t u r e (°F )M O NT U E SW E DT H U RF R IS A T S UN8.An employee had to take a pay cut of 20%. Awhile later, she received a pay raise of 25%. Hernew salary after the pay raise was what percentof her salary before the pay cut?A.45%B.55%C.80%D.95%E.100%9.If the average (arithmetic mean) of x, 6, 10, 12, 5x,and 10 is equal to 3x,what is the value of x?A.2B.3C.4D.5E.610.3x– 2y= –12 and x+ 3y= 7For what values of x and y are the equations above both true?A.x= –6, y= –3B.x= 4, y= 1C.x= –1, y29=D.x= –2, y= 3E.x= 10, y= –111.It takes Lisa h hours to walk a distance of m miles.At this same rate, how many hours will it take herto walk a distance of d miles?A.h dmB.m dhC.d mhD.mh dE.hd m 12.If the ratio of the number of boys to the number ofgirls in a class is 43, which of the following couldNOT be the number of students in this class?A.21B.28C.33D.42E.4913.The ratio of the length of a rectangle to its widthis5:3. If the length is 10, what is the area of therectangle?A.6B.15C.16D.32E.6014.If x=c in terms of x, b, and m?A.m2x2– b2B.(x– m+ b)2C.xm b+D.(mx + b)2E.bx m22-^h15.The minimum speed on a given stretch of freewayis 45 mph, and the maximum speed is 65 mph.Which of the following inequalities could be used to decided if a motorist driving at a rate of r mphis within legal limits?A.r4510#-B.r5510#-C.r6510#-D.<r5510-E.r1055#-16.Above is the graph of y = f(x).Which of the graphs below is that of y = f (x + 1) + 3?A.B.C.E.D.Note: Figure not drawn to scale.17.In the figure above, AB BC=. What is the value of y?A.23-B.32C.2D.6E.1218.If 82x= 44x – 3, what is the value of x?A.41B.1C.3D.4E.6Note: Figure not drawn to scale.19.In the figure above, circles A and B are tangent atC,and line l is tangent to circles A and B at points P and Q respectively. If the radius of circle A is 2and the radius of circle B is 6, what is the lengthof PQ?A.6B.43C.62D.8E.1020. A small rocket is fired into the air from the top ofa tower. Its height h,in feet, after t seconds, isgiven by: h(t)= –16t2+ 64t+ 32. The rocket is 80 feet above the ground twice—once on the way upand then again on the way down. How manyseconds pass between these two times?A.1B.2C.3D.4E.5x1.What is the average (arithmetic mean) of thenumbers 21, 31, and 61?A.221B.61C.31D.21E.1252.1275+=A.87B.76C.73D.103E.2933.If n represents an even integer, which of thefollowing represents an odd integer?A.3n+ 2B.n2+ 3C.(n+ 4)2D.5n– 4E.7n+ n2Note: Figure not drawn to scale.4.In the right triangle above, what is the value of x?A.2B.25(approximately 4.47)C.5D.52(approximately 7.07)E.213(approximately 7.21)5.In the figure above, square ABCD is inscribedwithin circle P.If the area of the circle is 8π, what is the area of the square?A.22B.8C.16D.162E.32Note: Figure not drawn to scale.6.In ᭝ABC above, AB BC=. What is the product of the slopes of the sides of ᭝ABC?A.–2B.–1C.21-D.1E.27.If (x+ m)(x+ n) = x2– 5x– 36, what is the valueof mnm n+?A.94-B.365C.4936x4 6x8.In the figure above, a rectangle is inscribed within a square of side length 4. What is the area of the shaded region?A.16B.10C.6D.32E.2319.The length of a rectangle is decreased by 25%while its width is decreased by 20%. The area ofthe new rectangle is what fraction of the area ofthe original rectangle?10.If x= 4, what is the value ofx y yxy532222-?Note: Figure not drawn to scale.11.In the figure above, point C is the center of thecircle. What is the value of x?12.If x mx m101512++=, what is the value ofxm?13.If 12(m+ n)(c– r) = 72 and 3(m+ n) = 9, what isthe value of c– r?14.The population of bacteria in a culture doublesevery 10 minutes. If the current bacteriapopulation is 1,024, how many minutes ago wasthe bacteria population only 32?15.If the median of a list of seven consecutive oddintegers is 23, what is the difference between thelargest and smallest of these integers?16.The digits 2, 3, 4, 5, and 6 are used to create five-digit numbers that begin and end with an evendigit. If each digit can be used only once in eachof the numbers, how many of these five-digitnumbers can be created?Note: Figure not drawn to scale.17.In the figure above, rectangle ABCD is inscribedin the circle with center at the origin in the xy-plane. Point C with coordinates (3, y) is located onthis circle. If the radius of the circle is 5, what isthe area of rectangle ABCD?18.If the average (arithmetic mean) of five differenttwo-digit positive integers is 20, what is thegreatest possible difference between the largestand the smallest of these five integers?)x1.If m – n = 11, what is the value of 2m – 2n – 7?A.4B.721C.15D.22E.292.If r m 3258=, what is the value of m r ?A.125B.85C.512D.85E.23Note: Figures not drawn to scale.3.In the figures above, ᭝ABC and square MNOP have equal perimeters. What is the length of MP ?A.2B.4C.5D.8E.164.The quantity 5x – 7 is how much larger than the quantity –10 + 5x?A.–17B.–3C.3D.7E.175.If 0 < x < y < 1, which of the following must be positive?A.x – yB.x 2– y 2C.x y 11-D.–(y – x )E.xy 23-6.When a given number is decreased by 5 and thisresult is tripled, the number obtained is 24. What is the given number?A.311B.329C.7D.12E.13Note: Figure not drawn to scale.7.In ᭝ABC above, AB BC =, x = 30, and the length of AC is 8 3. What is the area of ᭝ABC ?A.16B.242C.243D.483E.1448.If the area of a circle is π49, what is itscircumference?A.π25681B.π1681C.23π3BCAx °6C M NOP73AB9.In the xy -plane, a given circle with center at the origin contains the point (–3, 4). Which of the following points is NOT on the given circle?A.(3, –4)B.(0, –5)C.(3, 4)D.(0, 7)E.None of the above points are on the given circle.10.If 0 < x < 1, which of the following gives thecorrect order of x 3, x , and x 1?A.<<x x x13B.<<x x x 13C.<<x x x13D.<<x x x 13E.<<xx x 1311.In the xy -plane, ,75`j is a point on the graph ofthe equation y = x 2+ k. For what positive value of x will y = 7?A.2B.3C.4D.5E.612.If x y //3438=, what is x in terms of y ?A.y 1B.yC.y 2D.y 3E.y 613.If xy 6=, which of the following could NOT bethe value of x + y?A.37B.20C.18D.15E.1314.In the xy -plane, the set of points 5 units from thepoint A (6, 3) lie on a circle with center A and radius 5. What are all the possible points on this circle having an x -coordinate of 9?A.(9, 8) onlyB.(9, 7) and (9, –1)C.(9, 8) and (9, –2)D.(9, –2) onlyE.(9, 7) only15.Rachelle invested $1,000 in an IRA paying 6%per year. The accumulated value of her investment t years later is given by the function A , where A(t) = 1,000(1.06)t . In how many years will Rachelle’s investment be worth $1,191.02?A.1B.2C.3D.4E.516.The length of the longer leg of a right triangle isone less than twice the length of the shorter leg,and the length of the hypotenuse is one more than twice the length of the shorter leg. If the length of the shorter leg is x , which of the following equations could be used to find the value of x ?A.x + (2x – 1) = 2x + 1B.x 2+ (2x – 1)2= (2x – 1)2C.x 2= (2x – 1)2+ (2x + 1)2D.x 2+ (2x – 1)2= (2x + 1)2E.x (2x – 1) = 2x+ 1Scoring Practice Test III Answer Key for Practice Test III Practice Test IIIA1.D2.C3.D4.E5.E6.C7.D8.E9.C10.D11.B12.C13.E14.D15.B16.C17.D18.C19.B20.BPractice Test IIIB1.C2.C3.B4.B5.C6.C7.B8.B9.5310.1112or 1.0911.6512.32or .666 or .66713.214.5015.1216.3617.4818.44Practice Test IIIC1.C2.A3.B4.C5.C6.E7.C8.E9.D10.C11.B12.B13.C14.B15.C16.D。