Solve one - step equations with fractions
Solving each equation algebraically:
a) 2x = ¾ 2x
Method 1
algebraically:
2x = ¾
2x ÷ 2 = ¾ ÷ 2
x = ¾ x ½
= 3/8
Method 2
Applying the opposite operation:
1.5x = -3.95
1.5x /1.5 = -3.95 / 1.5
= -2.633
a) 2x = ¾ 2x
Method 1
algebraically:
2x = ¾
2x ÷ 2 = ¾ ÷ 2
x = ¾ x ½
= 3/8
Method 2
Applying the opposite operation:
1.5x = -3.95
1.5x /1.5 = -3.95 / 1.5
= -2.633
Solve two - step equations with fractions and decimals
Using Fractions
2x + 1/10 = 3/5
2x + 1/10 - 1/10 = 3/5 - 1/10
2x = 3/5 - 1/10
2x = 6/10 - 1/10
2x = 5 10
2 ÷ 2 = ½ ÷ 2
x = ¼
Using Decimals
a / 2.8 - 2.5 = -3.7
a / 28 - 2.5 + 2.5 = -3.7 + 2.5
a/2.8 = -1.2
2.8 x a/2.8 = 2.8 x (-1.2)
a = -3.36
To isolate the variable in a two step equation, use the reverse order of operations. Add or subtract first, and then multiply and divide.
3x - 1.5 = 0.3
3x -15 +15 = 0.3 + 15
3x = 0.3 + 15
3x = 15.3
3x/ 3 = 15.3/3
x = 5.1
2x + 1/10 = 3/5
2x + 1/10 - 1/10 = 3/5 - 1/10
2x = 3/5 - 1/10
2x = 6/10 - 1/10
2x = 5 10
2 ÷ 2 = ½ ÷ 2
x = ¼
Using Decimals
a / 2.8 - 2.5 = -3.7
a / 28 - 2.5 + 2.5 = -3.7 + 2.5
a/2.8 = -1.2
2.8 x a/2.8 = 2.8 x (-1.2)
a = -3.36
To isolate the variable in a two step equation, use the reverse order of operations. Add or subtract first, and then multiply and divide.
3x - 1.5 = 0.3
3x -15 +15 = 0.3 + 15
3x = 0.3 + 15
3x = 15.3
3x/ 3 = 15.3/3
x = 5.1
Solving equations: a(x+B) = c
Example 1: solve equations with grouping symbols
3(d + 0.4) = -3.9
(3 x d) + (3 x 0.4) = -3.9
3d +1.2 = -3.9
3d + 1.2 - 1.2 = -3.9 - 1.2
3d = -5.1
3d/3 = -5.1/3
d = -1.7
3(d + 0.4) = -3.9
(3 x d) + (3 x 0.4) = -3.9
3d +1.2 = -3.9
3d + 1.2 - 1.2 = -3.9 - 1.2
3d = -5.1
3d/3 = -5.1/3
d = -1.7