1. Lesson 13
ONE STEP EQUATIONS
A.4e

2. AN ALGEBRAIC SENTENCE THAT CONTAINS AN EQUAL SIGN
EQUATION
DEFINITION:
AN ALGEBRAIC SENTENCE THAT CONTAINS AN EQUAL SIGN
EXAMPLES:
X + 4 = 3
X – 5 = -6

3. TO SOLVE AN EQUATION
1. SOLVE – GET THE VARIABLE ON ONE SIDE BY ITSELF.
2. CHECK- EVALUATE THE EQUATION WITH THE ANSWER FOUND IN THE SOLVE
3. SOLUTION SET – THE ANSWER WRITTEN INSIDE { }

4. HOW TO GET RID OF A NUMBER ADDED TO THE VARIABLE
TO GET RID OF A NUMBER ADDED TO THE VARIABLE YOU MUST SUBTRACT THAT NUMBER FROM BOTH SIDES

5. EXAMPLE
Solve

6. TRY THIS
Solve

7. HOW TO GET RID OF A NUMBER SUBTRACTED FROM THE VARIABLE
TO GET RID OF A NUMBER SUBTRACTED FROM THE VARIABLE YOU MUST ADD THAT NUMBER TO BOTH SIDES
IF YOU HAVE A MINUS NEGATIVE IN THE PROBLEM YOU MUST CHANGE IT TO A PLUS POSITIVE.

8. EXAMPLE
Solve

9. TRY THIS
Solve

10. HOW TO GET RID OF A NUMBER TIMES THE VARIABLE
TO GET RID OF A NUMBER TIMES THE VARIABLE YOU MUST DIVIDE BOTH SIDES OF THE EQUATION BY THAT NUMBER

11. EXAMPLE
Solve

12. TRY THIS
Solve

13. HOW TO GET RID OF A FRACTION TIMES THE VARIABLE
TO GET RID OF A FRACTION TIMES THE VARIABLE YOU MUST MULTIPLY BOTH SIDES BY THE RECIPROCAL OF THE FRACTION OR YOU MUST DIVIDE BOTH SIDES BY THE SAME FRACTION

14. EXAMPLE
Solve

15. TRY THIS
Solve

16. HOW TO GET RID OF A NUMBER DIVIDED INTO THE VARIABLE
TO GET RID OF A NUMBER DIVIDED INTO THE VARIABLE YOU MUST MULTIPLY BOTH SIDES OF THE EQUATION BY THAT NUMBER

17. EXAMPLE
Solve

18. TRY THIS
Solve

19. HOW TO GET RID OF A NEGATIVE IN FRONT OF THE VARIABLE
PUT A 1 IN FRONT OF THE VARIABLE
THIS MEANS YOU NOW HAVE -1 TIMES THE VARIABLE.
TO GET RID OF A NUMBER TIMES THE VARIABLE YOU MUST DIVIDE BOTH SIDES BY THAT NUMBER
WHEN CHECKING YOU MUST ALSO PUT THE 1 IN FRONT OF THE VARIABLE BEFORE YOU SUBSTITUTE THE VALUE FOR X IN THE EQUATION

20. EXAMPLE
Solve

21. TRY THIS
Solve

22. HOW TO GET RID OF A NUMBER ADDED TO THE VARIABLE WHEN THE NUMBER COMES FIRST
IF THE NUMBER COMES FIRST YOU MUST GO BY WHAT IS IN FRONT OF THE NUMBER:
IF THE NUMBER IS POSITIVE THIS MEANS THERE IS A PLUS SIGN IN FRONT OF THE NUMBER AND YOU MUST SUBTRACT TO GET RID OF IT.
IF THE NUMBER IS NEGATIVE THIS MEANS THERE IS A MINUS SIGN IN FRONT OF THE NUMBER AND YOU MUST ADD TO GET RID OF IT

23. EXAMPLE
Solve

24. TRY THIS
Solve

25. FIVE MINUTE CHECK 2. 6. 3. 7. 4.