Linear Equations in One Variable
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Q.
Which of the following equation(s) is/are linear equation(s) in one variable?
2x + 3y = 10
4a + 3b = 3b + 6
2x = 3x + 4
2x + 4z = 5
Q. Rewrite the following statements by using symbols wherever needed
(a) a exceeds b by 10
(b) Twice the product of p and q divided by r.
(c) x is not equal to two times y.
(d) Four times m is greater than seven.
(e) The excess of 15 over 10 is 5.
(f) Since two times x equal sixteen, therefore x is equal to eight.
(g) Since four into y equal forty, therefore y equals ten.
(h) Twice the product of p and q upon the sum of a and b equals five.
(i) The difference of x and y is less the sum of two and ten.
(j) Nine times two is greater than ten.
(a) a exceeds b by 10
(b) Twice the product of p and q divided by r.
(c) x is not equal to two times y.
(d) Four times m is greater than seven.
(e) The excess of 15 over 10 is 5.
(f) Since two times x equal sixteen, therefore x is equal to eight.
(g) Since four into y equal forty, therefore y equals ten.
(h) Twice the product of p and q upon the sum of a and b equals five.
(i) The difference of x and y is less the sum of two and ten.
(j) Nine times two is greater than ten.
Q. Find the given multiplication :
39 x 7
39 x 7
- (39 x 3 + 39 x 1 )
- (39 x 3 + 39 x 2 )
- (30 x 7 + 9 x 7 )
- (30 x 3 + 7 x 4 )
Q. <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->
Solve: 34 -
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->
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Q. "Express the following as improper fraction:" 7
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->
34:
(a) <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 302
(b) <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 304
(c) <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 312
(d) <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 314
(a) <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 302
(b) <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 304
(c) <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 312
(d) <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 314
Q. Find the value of x to balance the equation.
6x−33=5
6x−33=5
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Q. A few friends were going to a picnic in a taxi. The driver charged them ₹40 per person, and ₹20 for all the luggages together. If the number of friends were 'p', form an algebraic expression to find the total money they had to pay?
Q. Sort the following into like and unlike fractions:
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 915, <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 1511, <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 154, <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 12, <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 157, <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 415, <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 715, <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 89.
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 915, <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 1511, <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 154, <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 12, <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 157, <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 415, <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 715, <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> 89.
Q. A few friends were going to a picnic in a taxi. The driver charged them ₹40 per person, and ₹20 for all the luggages together. If the number of friends were 'p', form an algebraic expression to find the total money they had to pay?
Q. Solve the equations simultaneously to find the value of h.
3h−j=7 and 2h+3j=1
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