Math 6/7 NOTES (6.3)

Solving Two-Step Equations (SOL 7.14)

Example 1 Solve 3x 1 = 7

CHECK

3x 1 = 7

3x 1 = 7 3x 1 = 7

3 127

-1 -1

Locate the variable term.

Use INVERSE OPERATIONS

to isolate the x term.

In Reverse PEMDAS order

Simplify.

3x

=

1 2 7

3x

6

7

To eliminate the coefficient divide each side by

Simplify.

Solve the two-step equation. Check your solution

r - 12 = -5

7k - 14 = 42

-12 = 24 4b

.

3g - 5 = 17

9 = 40 13

13 = 5m-2

-5 7k = -19

- 15 - 11 - 2t

13 = 11 - 4x

Select the correct answer. given: ∆abc with prove: statement reason 1. given 2. ∠cab ≅ ∠edb ∠acb ≅ ∠deb if two parallel lines are cut by a transversal, the corresponding angles are congruent. 3. ∆abc ~ ∆dbe aa criterion for similarity 4. corresponding sides of similar triangles are proportional. 5. ab = ad + db cb = ce + eb segment addition 6. substitution property of equality 7. division 8. subtraction property of equality what is the missing statement in the proof? scroll down to see the entire proof.