For every litre of petrol, one car travels x km and another car travels 5 km more than the first. The product of two consecutive integers is 3906. From finding the area of your small playroom to calculating the speed of a massive cruise, quadratic equations matter a lot in life. Practice the questions given in the worksheet on word problems on quadratic equations by factoring. This is a set of 5 worksheets on solving quadratic equations word sheet 1 - Graphing quadratic equations. Completing the Square Part 2. Mr. Lui's Math Website. 400/x - 400/(x + 5) = 4, 20. Unit 6 - Exponential Functions. Length = 50m and Breadth = 40 m. 16. A) If we represent the width of the rectangle using the variable W, then write an expression for the length of the rectangle, L, in terms of W. (b) Set up an equation that could be used to solve for the width, W, based on the area. Take the young mathematician in you on a jaunt to this printable compilation of quadratic word problems and discover the role played by quadratic equations inspired from a variety of real-life scenarios! In mathematics, the term quadratic describes something that pertains to squares, to the operation of squaring, to terms of the second degree, or equations or formulas that involve such terms.
What is the length of the longer side of the slab? If you're seeing this message, it means we're having trouble loading external resources on our website. In the quadratic equations word problems, the equations wouldn't be given directly. Unit 2 - Quadratic Functions and Equations. The base of a triangle exceeds twice its altitude by 1 8m. 20 minutes and 25 minutes. At percentage, her age is equal to the sum of the squares of the ages of her sons. 5) Brendon claims that the number five has the property that the product of three less than it with one more is the same as the three times one less than it. Find the bigger integer. These math worksheets should be practiced regularly and are free to download in PDF formats.
How to solve word problem using quadratic equations? 1 - Pick 5 Questions#2 - Pick 3 Questions#3 - Pick 5 Questions#4 - b, c, d. Lesson 3. A two-digit number is made of two consecutive digits such that the sum of their squares is 4 less than the number. Try this simple question: Alan is 2 years older than Clara. What is the largest of the three integers? 3) The perimeter of a rectangular concrete slab is 82 feet, and its area is 330 square feet.
You can use any of these methods: factoring, square roots, completing squares, or quadratic formula to arrive at your answers. The lengths (in cm) of parallel sides of a trapezium are 2x and 4x 3x - 1, and the distance between the parallel sides is x + 1. If the first car uses 4 litres more than the second car in converting 400 km, frame an equation for the statement to find x. 3. x(x + 2) = 168, 12 and 14. The distance, in feet, between the rock and the ground t seconds after the rock is thrown is given by h = -16t2. Quadratic Word Problem Worksheet - 3. As soon as you read this, this equation will ring a bell: x(x + 2) = 168.
Unit 2 - Algebra in Quadratics. Taking the original cost of each book to be $x, write an equation in x and solve it. Unit 7 - Financial Math. If you rearrange and rewrite this, you'll have x2 + 2x - 168 = 0. Find the dimensions of the rectangle if the area is 84 square feet.
Now, print our worksheet pdfs, exclusively designed for high school students and get to solve 15 similar word problems. Recent Site Activity. Two pipes together can fill a cistern in 11 1/9 minutes. M., what is its altitude? Where P is the price per unit, and D is the number of units in demand. Find the greatest angle of the triangle. Cubing Review Activity / X-Intercept to Functions.
Find the time required individually for each of the pipes to fill the cistern. Try the given examples, or type in your own. Worksheet 2 - Four vertical motion problems. As far as this problem is concerned, Alan is 14 years and Clara is 12 years. From a handpicked tutor in LIVE 1-to-1 classes. 780 students stand in rows and columns. Problem solver below to practice various math topics. Try the free Mathway calculator and. If 4 years hence her age becomes five times the age of the elder son then find the percent ages of her sons. 2) The product of two consecutive positive integers is 359 more than the next integer. 2) A square has one side increased in length by two inches and an adjacent side decreased in length by two inches.
Max Min Word Problems. Worksheet - Every other question. Unit 1 - Rational Expressions. Grade 11 University Functions. Smith and Johnson together can do a piece of work in 4 days. Unit 4 - Trigonometric Ratios. You might need: Calculator. If the cost per book was $5 less, the number of books that could be bought for $ 720 would be 2 more. Nature of the Roots - Discriminant. Grade 11 - U/C Functions and Applications.
Unit 1 - Quadratics. There were 132 gifts given at the party. Assuming the smaller integer to be x, frame an equation for the statement and find the numbers. Related Topics: More Algebra Word Problems. If they had to work separately, the time taken by Johnson to do the work would be more than that of Smith by 6 days. 4) Find all sets of consecutive integers such that their product is less than ten times the smaller integer. Find the number of members. If the area of the trapezium be 28 cm^2, find the smaller of the two parallel sides.
A shopkeeper buys a certain number of books for $720. Find the two-digit number. What is the value of x?
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