NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Homework Practice 6.7.3
Solve and Write Subtraction Equations
Solve each equation. Check your solution.
1. h – 5 = 4
2. x – 2 = 5
3. g – 6 = 2
4. y – 1.2 = 4.8
5. a – 3.2 = 5.5
6. 6.6 = w – 1.2
7. d –
1
12
=
5
12
8. m –
3
18
=
11
18
9. b –
3
=
15
1
10. PARASAILING A parasailor is attached by a cable to a boat and towed so that the parachute she is wearing catches
air and raises her into the air. When the boat slows down to turn back toward the beach, the parasailor’s chute
catches less air and dips 25 meters. She must descend another 45 meters to return to the boat. Write and solve a
subtraction equation to find her original height above the boat before the turn.
11. ALGEBRA What is the value of k if 16 = k – 9?
12. PARKS The Petrified Forest National Park in Arizona recently expanded their boundaries by 93,533 acres. The
original acreage was 125,000. Write and solve a subtraction equation to find the new acreage of the park.
13. AREA The total land area of the United States is about 3,483,511 square miles more than the total land area of
Tennessee, which is about 53,927 square miles. Write and solve an equation to find the total land area of the United
States.
Course 1 • Chapter 7 Equations
107
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Study Guide 6.7.3
Solve and Write Subtraction Equations
The goal in solving any algebraic equation is to get the variable on one side of the equal sign and
a constant on the other side of the equal sign.
e.g.
x = 55
The Subtraction and Addition Property of Equality states if two expressions are equal and the
exact same thing is added to or subtracted from both sides, the two sides will remain equal.
Method To Solve an Addition or Subtraction Algebraic Equation.
Step 1- Determine which side of the equation has the variable and a constant.
Step 2 - Add the opposite of the variable side constant to both sides, making sure to line up the constants.
Examples
x – 4 = 10
+4 +4
x
Add the opposite of the variable side constant (4) to each side.
= 14
z + 3 = 22
-3 -3
z
Add the opposite of the variable side constant (-3) to each side.
= 19
Course 1 • Chapter 7 Equations
107
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Course 1 • Chapter 7 Equations
107