VOCABULARY CARDS

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VOCABULARY CARDS

• Inverse Operations

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The equation h 14 82 can be represented as a
balanced scale.
To find the value of h, you need h by itself on
one side of a balanced scale.
To get h by itself, first take away 14 from the
left side of the scale. Now the scale is
unbalanced.
To rebalance the scale, take away 14 from the
other side.
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Teacher Example 1 Solving Equations by
Subtracting
Solve the equation. Check your answer.
x 87 152
x 87 152
87 is added to x.
87
87
Subtract 87 from both sides to undo the addition.
x 65
Check x 87 152
Substitute 65 for x in the equation.
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65 is the solution.
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Student Practice 1
Solve the equation. Check your answer.
u 43 78
u 43 78
43 is added to u.
43
43
Subtract 43 from both sides to undo the addition.
u 35
Check u 43 78
Substitute 35 for u in the equation.
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35 is the solution.
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Teacher Example 2
Solve the equation. Check your answer.
72 18 y
72 18 y
18 is added to y.
18
18
Subtract 18 from both sides to undo the addition.
54 y
Check 72 18 y
Substitute 54 for y in the equation.
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54 is the solution.
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Student Practice 2
Solve the equation. Check your answer.
68 24 g
68 24 g
24 is added to g.
24
24
Subtract 24 from both sides to undo the addition.
44 g
Check 68 24 g
Substitute 44 for g in the equation.
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44 is the solution.
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Teacher Example 3 Social Studies Application
Johnstown, Cooperstown, and Springfield are
located in that order in a straight line along a
highway. It is 12 miles from Johnstown to
Cooperstown and 95 miles from Johnstown to
Springfield. Find the distance d between
Cooperstown and Springfield.
distance between Johnstown and Springfield
distance between Johnstown and Cooperstown
distance between Cooperstown and Springfield


95 12
d
95 12 d
12 is added to d.
Subtract 12 from both sides to undo the addition.
12
12
83 d
It is 83 miles from Cooperstown to Springfield.
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Student Practice 3
Patterson, Jacobsville, and East Valley are
located in that order in a straight line along a
highway. It is 17 miles from Patterson to
Jacobsville and 35 miles from Patterson to East
Valley. Find the distance d between Jacobsville
and East Valley.
distance between Patterson and East Valley
distance between Patterson and Jacobsville
distance between Jacobsville and East Valley


35 17
d
35 17 d
17 is added to d.
Subtract 17 from both sides to undo the addition.
17
17
18 d
It is 18 miles from Jacobsville to East Valley.
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1.8 Warm-Up
Solve each equation. 1. 93 x 14 2. Kaitlin
is 2 inches taller than Reba. Reba is 54 inches
tall. How tall is Kaitlin? 3.