Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
Transcribed Image Text:ALGEBRA-1
E:
) CLASS:
DATE:
rer all questions. Show your working neatly.
Given that (x- pXx-5)=x-qx+15, find the value of p and q.
-- If x=3 is a solution of the equation x+ px+12 0, find the value of p. Hence find the other
solution of the equation.
3. If one of the roots of the equation x-5x+k 0is 2, find the value of k. Hence find the other
root of the equation.
4. Marc is 3 times as old as his brother, John. The sum of the squares of their ages two years ago
was 178. If John is x years old, form an equation in x and show that it reduces
to 5x - 8x-85 = 0. Solve this equation to find their present ages.
5. PQRS is a rectangle in which PQ = (x+2)cm and PS =
(a) If the area of the rectangle PQRS is 88 cm?, write down in terms of x and show that it
reduces to 2x +3-90= 0.
(b) Solve this equation for x and find the dimensions of the rectangle.
(2x-1)cm.
6. A motorist travelled from Town A to Town B which was 135 km apart. After travelling 60 km
at an average speed of x km/h, he increased his average speed by 10 km/h for the remaining
journey. He took 3 hours to complete his journey.
(a) Form an equation in terms of x and show that it reduces to x-35x-200 = 0.
(b) Solve this equation to find the value x. Hence, find the time taken for the second part of the
journey.
7. A bookseller bought x cookbooks for $24.
(a) Write down an expression, in terms of x, for the cost price of each book.
(b) He sold 6 books with a profit of $2 each. Write down an expression, in terms of x, for the
selling price of each of these books.
(c) He sold the rest of the books at $4 each. If he received $38 for selling all the books, write
down an equation in terms of x and show that it reduces to 2.x-25x+72 =0.
(d) Solve this equation for x and find the number of cookbooks the bookseller bought.
END
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