ALGEBRA
1.
Write the following using numbers, literals and
signs of basic operations:
i.
One-third of x is taken away from one-fifth of
y.
ii.
The product of x and 4 is subtracted from the
sum of y and 7.
iii.
My age is x years. My father’s age is 3 years
less than four times my age. What is my father’s age?
iv.
The product of 11 and x is 5 less than y.
v.
One-fourth of x is multiplied by twice the sum
of y and z
2.
Riya has drawn a Rangoli. She has 13 dots in a
row. How many dots will her Rangoli have for P rows?
3.
Lalita spends $x per week and saves $y daily.
What is her income of two weeks?
4.
Write the numerical coefficient of each term of
the following algebraic expressions:
i.
6x4 + 5x3 – 2x + 7 ii. 4a3 – 5b3 + 2c3
– 6abc
5.
Write down the terms of following algebraic
expressions:
i.
ax2 – bx – c ii. p2q – pq + 9
6.
Write down the coefficient of x:
i.
6x3-5x2+8x ii. -3xy+4x2+6
7.
Identify the like terms in the following.
i.
X2y,xy2,y2x,xy ii. x2,y2,-3x2,y3,4x
8.
Write down the coefficient of a in the following
algebraic expressions:
i.
3a2 – 4a ii. 2a
+ iii. 4a3
+ a
9.
Write each of the following statements as an
equation:
i.
A number exceeds seven by three
ii.
A number is divided by three. The quotient is
added to four and the result is six.
iii.
Thirty less than twelve times a number gives
eighteen.
10.
Write the statement for each of the equations
given below:
i.
2x – 6 = 8 ii. 4x = x + 9
11.
Verify by substitution that
i.
The root of 4x – 1 = 11 is 3
ii.
The root of 3x – 6 = x + 2 is 4
iii.
The root of 5x – 11 = x + 9 is 5
12.
Solve the following equations by trial and error
method:
i.
9 + x = 14 ii. = 2 iii. 5x – 6 = x + 6
iv.
3x + 6 = 9 +2x v. 2x + 7 = 3x
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