1+ day, 23+ hour ago (239+ words) Math Puzzle: The Ancient City The mathematician, who liked to annoy friends with improvised brainteasers, thought for a moment or two, then raised a glass and recited: A rose-red city half as old as Time.One billion years ago the city's ageWas just two fifths of what Time's age will beA billion years from now. Can you computeHow old the crimson city is today? The English professor had long ago forgotten algebra and quickly shifted the conversation to another topic, but readers of this department should have no difficulty with the problem. The rose-red city's age is seven billion years. Let x be the city's present age and y be the present age of Time. A billion years ago the city would have been x " 1 billion years old, and a billion years from now Time's age will be y + 1. The…...

2+ day, 5+ hour ago (342+ words) What is the value of x in the equation above? For the quadratic function y = f(x), (x " 3) is a factor and'x = k is a positive zero. If (5, c) is the maximum point on the graph of y = f(x), what is the value of k? Which of the following expresses a in terms of b and c? The function f is defined by f(2x " 1) = 4x + 3 and the function g is defined by g(x) = f(x) " 1. What is the value of g(10)? The line shown in the xy-plane passes through the point (0, 0) and the point' (a, b), where a > b. Which of the following could be the slope of this line? A rectangle is inscribed in a circle, such that each vertex of the rectangle lies on the circumference of the circle. The diagonal of the rectangle is twice the length of the shortest side of the…...

4+ day, 5+ hour ago (526+ words) Did you use this article in your work? We'd love to hear how The 74's reporting is helping educators, researchers, and policymakers. Tell us how Lindsey Henderson is the math policy director at ExcelinEd. She previously worked at the Utah State Board of Education as the secondary mathematics specialist. Dave Kung is director of programs at TPSE Math. He previously served as the director of policy at the Charles A. Dana Center at The University of Texas at Austin. By Lindsey Henderson & Dave Kung Our country is facing a math crisis, with students' scores on standardized assessments persistently stagnant or declining." When it comes to public policy, there are rarely any easy solutions, but there is one lever states can pull that will ensure more students have access to math courses that will improve their long-term success in life." Research has…...

4+ day, 12+ hour ago (545+ words) Overview: A new study shows that high-achieving Black children are less likely to be enrolled in Algebra 1 classes in middle school compared to their non-Black peers. (WIB) " A new study is sounding the alarm: Even when Black students are at the top of their class, they're still being shut out of Algebra 1 "the early gateway to every advanced math, college, and STEM opportunity that comes after it. A study by the Northwest Evaluation Association (NWEA) analyzed data from 162,000 eighth-graders across 22 states and found significant racial disparities in access to Algebra 1. Only 58% of schools in the sample even offered Algebra 1 by the eighth grade. That percentage dropped to 46% in high-poverty schools and 52% for rural schools. In schools with a large share of Black and Latino students, access gets even more limited: just 45% of them offered the course at all. RELATED: New…...

5+ day, 9+ hour ago (351+ words) This Math quiz is called Algebra " Equations with Letters on Both Sides and it has been written by teachers to help you if you are studying the subject in middle school. As is the case in Algebra, very often an equation will have letters on both sides of the equals sign. Remember the rule "change sides, change signs" and you won"t go very far wrong. 1. What is the value of f in the following equation: 7(f " 5) = 4(f " 3.5)? 2. What is the value of d in the following equation: 13d + 8 = 7d + 3d + 35? 3. 2x + 3y = 3y + 7 is the same as which of the following? A. 2x = 6y + 7 C. y = 2x " 7 D. y = 2x + 7 4. What is the value of e in the following equation: 2(e + 5) = 44? 5. Look at the equation 4(a " 4) = 3a " 9. Now decide which of the following is not correct. A. 4a " 16 = 3a " 9 B. a = -9 + 16 6. What is the value of c in the following equation: 4c = 2c + 75? 7. x + 7 = 10 + 12 is the same as which…...

6+ day, 4+ hour ago (683+ words) Martin Middle Makes Math Click with Core and Encore Math If you think math class still involves only worksheets and quiet focus, visiting a Core and Encore math class at Martin Middle will make you think again. Four years ago, the school decided to rethink the way math is taught. Instead of a traditional 45-minute period, students now have a 90-minute math block divided into two separate classes: Core Math and Encore Math. It looks, and sounds, different than a traditional math class setup. And that difference is exactly what's adding up to success. The classes are set up so that students first attend Core Math class, where new concepts are introduced. In that class, the foundation is built for each lesson and skill they will learn. Then, they move into their Encore Math class, where targeted instruction and flexible…...

1+ week, 15+ hour ago (219+ words) I think there was something in the UCSD report that talked about grade inflation. Maybe we are living in Lake Wobegon, where everybody is above average, and not San Diego. I can now feel a bit better ... Re "UCSD report stunning, revealing" (Nov. 14), "Basic math a struggle for UCSD freshmen" (Nov. 15) and "California School Dashboard releases ratings for county" (Nov. 13): The first two articles tell the sad truth about the complete lack of math ability of many students at a prestigious university and the California School Dashboard story tells a different story. In the Dashboard story, more than 75% of county students scored above average or average in math. And in the college and career readiness categories, relatively few students were found to be unprepared. I think there was something in the UCSD report that talked about grade inflation. Maybe we…...

1+ week, 2+ day ago (896+ words) Two numbers are in the ratio 6 : 5. If their HCF is 3, then'what is the LCM of the two numbers? A merchant has 120 liters and 180 liters'of two kinds of oil. He wants to sell the oil by filling the two kinds in tins of equal volumes. Find the greatest volume of such a tin. But, the target of the question is, the volume of oil filled in tins must be greatest. So, we have to find the largest number which exactly divides 120 and 180. That is the highest common factor (HCF) of (120, 180). HCF (120, 180) = 60 liters The 1st'kind 120'liters is sold in 2 tins of of volume 60 liters in each tin. The 2nd'kind 180 liters'is sold in 3 tins of volume 60 liters'in each tin. Hence, the greatest volume of the tin is 60'liters. Find the least number of square tiles by which the floor of a room of…...

1+ week, 2+ day ago (375+ words) The curve y= ax " b passes through points (c, 8)and (2c, 350). Find the value of b. The function p is defined by p(x) = a((x + 7)2 " b)((x + 7)2 " c), where a, b and c are constants. In the xy-plane, the graph of y = p(x) passes through the points ("12, 45) and (0, 256). What is the value of p("2) + p("14)? In the xy-plane above, O is the center of the circle and the measure of'POQ is k. What is the value of k? Which expression is equivalent to 16x4 " 81? A) (4x2 + 9)2 B) (2x + 3)2(2x " 3)2 C) (4x2 + 27)(4x2 " 3) D) (4x2 + 9)(2x + 3)(2x " 3) Two numbers, p and q, are each greater than zero, and the square of p is equal to the cube root of q. For what value of x is p1 " x equal to the square root of q? The given equation relates the positive real numbers x, y and z.Which equation correctly expresses x in terms y and z? C) x = y2 + z2 + 2yz " 3 D) x = z2 + y2 " 2zy " 3 In circle P,…...

1+ week, 2+ day ago (628+ words) If a number when divided by 296 gives a remainder 75, find the remainder when 37 divides the same number. x = 378k + 372 + 1 x = 37(8k + 2) + 1 So, the remainder is "1" when the number "x" is divided by 37. Find the number of prime factors of From 6107175527, we have to write each base in terms of multiplication of its prime factors. The no. of prime factors = sum of the exponents = 10 + 10 + 17 + 27 + 27 So, the number of prime factors is 91. Find the unit digit of Take the last two digits in the power and unit digit in the base. They are 43 and 2.Step 2 : Divide the last two digits of the power by 4 (in all the problems) and get the remainder. That is, when 43 is divided by4, the remainder is 3.Step 3 : Now this remainder 3 has to be taken as exponent of the unit digit 2.That is, 23= 8. So, the unit digit of the given number…...