Page 150 - Start Up Mathematics_8 (Non CCE)

1
2. The value of x in the equation x + 1 = 5 is:
-4 4 5 -5
(a) (b) (c) (d)
5 5 4 4
x - 2 a
3. The solution of the equation = 0 is:
2
(a) x = 2a – 2 (b) x = 2a (c) x = 2a + 2 (d) x = – 2a
4. Two complementary angles differ by 14º. The angles are:
(a) 50º, 36º (b) 53º, 39º (c) 60º, 46º (d) 52º, 38º
5. If 5(x – 3) – 4(x – 2) = 0, the value of x is:
(a) 8 (b) –7 (c) –8. (d) 7

6. While solving an equation the same number or expression can be:
(a) added or subtracted on both sides (b) multiplied on both sides
(c) divided, if non-zero on both sides (d) all of these
7. If 1.8x – 6.3 = –0.3x, then x is equal to:

(a) 3 (b) –0.3 (c) 0 (d) –1

solve Mentally

True or False
1. If in an equation, the highest power of the variables is one and the variables are not multiplied together,
the equation is linear.
2. When solving a linear equation using transposition method, the variable terms are transposed to the RHS
and the numerals to the LHS.
3 1 13
3. The solution of the equation x - 2 = 6 is .
7 3 4
4. Linear equations can be solved by cross-multiplication method.
5. If Manu’s age is two years less than twice his sister Renu’s age and the sum of twice Manu’s age and
thrice Renu’s age is 66, then Manu is 10 years old.

Answer in One Word or a Line
1. Define linear equation and give an example.
-7
2. Is the solution of 2(x – 2) = 3(2x + 1)?
4
3. Form a linear equation to represent 6 less than 4 times a number which is equal to 8 more than 2 times
the number. px q+ l
4. How do we solve equations of the form = ?
rx t+ m
4
5. Does x = 46 satisfy the equation x = (x + 10)?
5

let’s evaluate
1. Solve the following linear equations and check the solution:

y + 6 y - 3 4y + 1 2y - 1 3y - 7 03 07. + . x
6
(a) + = 5 y - 4 (b) + =+ (c) = 085.
4 5 3 2 5 x
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