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प्रश्न
Write the following statement as an equation:
3 less than 4 times a number is 17.
उत्तर
Let the required number be x.
So, four times the number will be 4x.
∴ 4x − 3 = 17
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संबंधित प्रश्न
Complete the last column of the table.
| Equation | Value | Say, whether the Equation is Satisfied. (Yes/No) |
| `m/3 = 2` | m = 6 |
Check whether the value given in the bracket is a solution to the given equation or not:
4p − 3 = 13 (p = 0)
Write the given equation in statement form:
3p + 4 = 25
Set up an equation in the following case:
In an isosceles triangle, the vertex angle is twice either base angle. (Let the base angle be b in degrees. Remember that the sum of angles of a triangle is 180 degrees.)
Add the following:
\[m^2 - 4m + 5\]
\[ - 2 m^2 + 6m - 6\]
- m^2 - 2m - 7
_______________
Add the following:
\[4xy - 5yz - 7zx\]
\[ - 5xy + 2yz + zx\]
- 2xy - 3yz + 3zx
_______________
Solve the following equation and verify the answer:
3(x + 6) = 24
In triangle ABC, the measure of ∠B is two-third of the measure of ∠A. The measure of ∠C is 20° more than the measure of ∠A. Find the measures of the three angles.
Complete the entries in the third column of the table.
|
S.No. |
Equation |
Value of variable |
Equation satisfied Yes/No |
|
(a) |
10y = 80 |
y = 10 |
______ |
|
(b) |
10y = 80 |
y = 8 |
______ |
|
(c) |
10y = 80 |
y = 5 |
______ |
|
(d) |
4l = 20 |
l = 20 |
______ |
|
(e) |
4l = 20 |
l = 80 |
______ |
|
(f) |
4l = 20 |
l = 5 |
______ |
|
(g) |
b + 5 = 9 |
b = 5 |
______ |
|
(h) |
b + 5 = 9 |
b = 9 |
______ |
|
(i) |
b + 5 = 9 |
b = 4 |
______ |
|
(j) |
h − 8 = 5 |
h = 13 |
______ |
|
(k) |
h − 8 = 5 |
h = 8 |
______ |
|
(l) |
h − 8 = 5 |
h = 0 |
______ |
|
(m) |
p + 3 = 1 |
p = 3 |
______ |
|
(n) |
p + 3 = 1 |
p = 1 |
______ |
|
(o) |
p + 3 = 1 |
p = 0 |
______ |
|
(p) |
p + 3 = 1 |
p = − 1 |
______ |
|
(q) |
p + 3 = 1 |
p = − 2 |
______ |
Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.
x + 4 = 2 (− 2, 0, 2, 4)
