Balancing Simple Equations
Name: _______________________________
Date: _______________________________
Remember: An equation is like a balance scale. Whatever you do to one side, you must do to the other side to keep it balanced! ⚖️
Part A: Find the Value of the Variable
Solve each equation to find the value of the variable.
1.
x + 7 = 15
x = __________
2.
a + 12 = 20
a = __________
3.
m - 5 = 9
m = __________
4.
y - 8 = 14
y = __________
5.
3n = 21
n = __________
6.
5p = 35
p = __________
Part B: Two-Step Equations
These equations need two steps to solve. Show your working.
7.
2x + 3 = 11
Working: _________________________________________
x = __________
8.
4a - 5 = 19
Working: _________________________________________
a = __________
9.
3m + 7 = 28
Working: _________________________________________
m = __________
Part C: Word Problems
Write an equation for each problem, then solve it.
10. Sophie has some marbles. When she gets 6 more marbles, she has 18 marbles altogether. How many marbles did Sophie start with?
Equation: _________________________________________
Answer: __________
11. A number multiplied by 4 equals 32. What is the number?
Equation: _________________________________________
Answer: __________