LINEAR EQUATIONS
EXERCISES:
1. Solve the linear equation in one variable: 3x + 6 = 18
2. The sum of two numbers is 44. If one number is 10 more than the other, find
the numbers by framing a linear equation.
3. Six times of a number is equal to 48. Find the linear equation that corresponds
to the situation and find the unknown number.
4. Calculate the linear equation for x: 5x - 95 = 75
5. Find the value of y in the given equation. 3y + 6 = 5y – 8
6. Solve this equation to find the value of x:
3
(
2x−1
)
=5(3x−15 )
7. Solve this equation to find the value of x:
5
(
3x+2
)
−4x=87
8. Solve 2x + y2= 7 and x + y = 5
9. Solve 3x - 2y2= 4 and 4x - y = 7
10. Solve 7x + 8y = 17 and x - 16y = 4
11. Solve 11x - 17y = -18 and 12x - 15y = 8
12. If
a=1
3
b∧b=24
, what is the value of
7a+8
13.
w=240+1.2 d
. The weight of a flask containing a solution can be modeled by
the equation above, where w is the weight in grams and d is the number of
drops of solution that are in the flask. What is d when w is 300?
14. If 7 times a number is 84, what is 4 times the number?
15. If
3x=12
, what is the value of
24
x
16. If
√
x+22=38
, what is the value of
x
.
17. For the equation
√
mx−5=x+3
, the value of m is -3. What is the solution set
for the equation?
18. The length of a certain rectangle is twice the width. If the area of the rectangle
is 128, what is the length of the rectangle?
19. If
√
x
2=2
√
2
, what is the value of
x
.
