Solve a Subtraction Equation
Solve x - 2 = 1. Check your solution.
x - 2 = 1 Write the equation.
+ 2 = + 2 Addition Property of Equality
x = 3 Simplify.
The solution is 3. Check 3 - 2 = 1 ✓
Solve each equation. Check your solution.
e. y - 3 = 4 f. r - 4 = - 2 g. q - 8 = - 9
SHOPPING A pair of shoes costs $25. This is $14 less than the cost
of a pair of jeans. Find the cost of the jeans.
Words
Variable
Equation
Shoes are $14 less than jeans.
Let j represent the cost of jeans.
25 = j - 14
25 = j - 14 Write the equation.
+ 14 = + 14 Addition Property of Equality
39 = j Simplify.
The jeans cost $39.
h. ANIMALS The average lifespan of a tiger is 17 years. This is
3 years less than the average lifespan of a lion. Write and solve
an equation to find the average lifespan of a lion.
210 Equations and Inequalities
Addition Property of Equality
Words If you add the same number to each side of an equation,
the two sides remain equal.
Symbols If a = b, then a + c = b + c.
Examples Numbers Algebra
5 = 5 x - 2 = 4
+ 3 = + 3 + 2 = + 2
8 = 8 x = 6
Models A bar diagram
can be used to represent
this situation.
jeans, j
$25 $14
shoes
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