Page 173 - classs 6 a_Neat

EXERCISE12 - A
EXERCISE12-B
1. Classify the following as algebraic expressions or algebraic equations.
a. 2x + 3 b. 3x + 7 = 0 c. 4m - 3 d. 8p = 16 e. 20 m 1. Suma is a twice as old as her brother. In 6 years time, the sum of their ages will be 39. What are their
2. Write the following statements as algebraic equations. ages now?
a. 5 multiplied by x plus three is equal to 23 2. Five times the price of a pen is ₹52 more than three times its price. Find the
b. 10 subtracted from 7x is equal to 95 price of a pen.
c. 4 times a number is equal to 100 3. Can you find the solution to the equation 10 + 10 = 1 Ox - 1 O? Give reason for your answer.
d. One-fifth of a number plus twenty-one is equal to forty-one 1 . Fill in the blanks:
e. The diameter of a circle is twice its radius a.The coefficient of “a” in ?ab is ____
3. Solve the following equations by the trial and error method. b.Three times x increased by five is _____
a. y + 9 =12 b. x - 4 = 2 c. Sy= 25 c.a b and ab are _____ terms.
2
2
d.6x and (-6x) are _____ terms.
d. 3y + 1 = 5 e. 7x - 3 = 18 e.The coefficient of x is _____
2 2. Identify the following expressions as monomial, binomial or trinomial terms.
4. Solve the following equations by the systematic method. a.4pqr b. 4p + 4r C. 4p2 + 8pq + 4q 2
a. 2m + 9 = 15 b. 2k - 20 = 0 c. 5x - 4 = 31 d. -20x 2 e. x + y 2
2
3x + 2 3. Write algebraic equations for the following statements.
d. = 1 e. 8p = 0 a.The product of 3 and 5 added to ten is equal to twenty-five.
5
5. Use the direct method to solve the following linear equations. b.Half of x plus 7 is equal to 21 .
c. “p” divided by 4 and decreased by 2 is equal to 6.
y 1
a. 3x + 12 = 18 b. = c.7a - 10 = 4 d.Three times the sum of x and y is 27.
6 3 e.The square of a number x is equal to forty-nine.
d. 3(x - 10) = 9 e. 20y = 40 4. Balance the equations choosing the correct value from the options given in brackets.
5 a.x + 3 = 12 (3, 4, 9, 7)
6. Solve the following equations. b.y - 4 = 7 (3, 11, 5, 2)
a. 2x - 7 = x + 5 b. 3(x - 5) = 2(x + 1) c. 0 = 5x - 15 C. 8x = 72 (8, 1, 9, 6)
d. 10 = 3 x - 5 e. 3(x - 2) = 15 d.2a+5=15 (3, 6, 5, 4)
e. b - 25 = 10
(15, 0, 35, 25)
7. A number is increased by 5 and the resulting number is 15. Find the number. 5. Solve tr.e following equations.
8. The cost of a dozen pens is ₹120. Find the cost of one pen. y
98
9. The sum of three consecutive natural numbers is 45. Find the numbers. a. 3x - 4 = 14 b. 7(m + 5) = 42 c. −=
10. Nidhi is four times as old as her daughter Rupali. If the sum of their ages is x − 3 3
55 years, find the ages of Nidhi and Rupali. d. 5 4= e. 3(p + 2) - 2(p + 5) = 8
11. For a class picnic, the students collected ₹480 for transport. If each student paid ₹8. Find the number
of students in the class. 6. If a number is multiplied by 18 and 12 is added to it, we get 120. Find the number.
12. In an isosceles triangle two sides are equal. The unequal side is 7 cm. The sum of the three sides is\ 7. Ajit is 8 years younger than his brother, Akhil. If the sum of their ages is 32, find their ages.
25 cm. Find the length of the equal sides. 8. Five times the price of a book is ₹150 more than three times its price. Find the price of the book.
9. The sum of three consective odd numbers is 135. Find the numbers.
10. The length of a rectangular field is 3 times its breadth. If the perimeter of the rectangle is 56 m, find its
length and breadth.