Download STEPS FOR SOLVING MULTI

Pre-Algebra
Solving Equations with Variables on Both Sides
7-5
Objectives: 1.
2.
OBJECTIVE
1
Collecting the Variable on One Side
STEPS FOR SOLVING MULTI-STEP
EQUATIONS
EXAMPLE 1
Step 1
Use the Distributive Property.
Step 2
Combine like terms on each side.
Step 3
Move the variables to one side of the equation.
Step 4
Undo addition or subtraction.
Step 5
Undo multiplication or division.
Collecting the Variable on One Side
Solve each equation.
1. 9x + 2 = 4x – 18
STEPS
1. Subtract 4x from each side.
2. Simplify.
3. Subtract 2 from each side.
4. Simplify.
5. Divide each side by 5.
6. Simplify.
2. 4x + 4 = 2x + 36
3. -15 + 6b = -8b + 13
4. 4c + 3 = 15 – 2c
OBJECTIVE
2
EXAMPLE 1
Using Equations With Variables on Both Sides
Using the Distributive Property and Combine Like Terms First
Solve each equation.
1. -2(y + 6) = y + 3 + 2y
STEPS
1. Distribute the -2.
2. Combine Like Terms.
3. Subtract 3y from both sides.
4. Simplify
5. Add 12 to both sides.
6. Simplify
7. Divide both sides by -5.
8. Simplify.
1. 6(g + 3) = -2(g + 31)
2. 7a – 4 + 2a = 3a - 2
3. 7x + 9 = 4x
4. 8m – 5 = 5m + 7
5. x + 7x + 15x = 29x + 18
6. 8(7 – p) – 8 = -16(p – 2)
7. k + k + k = k + 18
8. 3(n – 5) = -2n
9. 4(y – 9) = 3(2y – 8)
10. 6(z – 2) + 3 = 3z – 15
11. -2x + 7 = x – 8
12. 7(v – 4) = 3(3 + v) – 1
Pre-Algebra Objectives 7.5
The student should be able….
1. To solve equations with variables on both sides.
2. To use equations with variables on both sides.