1. ALGEBRA 1B
TEST # 1
CHAPTER # 5
SYSTEMS OF EQUATIONS
REVIEW QUESTIONS

2. IF A SYSTEM OF TWO LINEAR EQUTIONS HAS ONE SOLUTION, THEN THE TWO
1. TRUE/FALSE
IF A SYSTEM OF TWO LINEAR EQUTIONS
HAS ONE SOLUTION, THEN THE TWO
LINES MUST BE PARALLEL

3. IF A SYSTEM OF TWO LINEAR EQUTIONS
2. TRUE/FALSE
IF A SYSTEM OF TWO LINEAR EQUTIONS
HAS THREE SOLUTIONS, THEN THE SYSTEM
HAS 7 SOLUTIONS

4. IF A SYSTEM OF TWO LINEAR EQUTIONS
3. TRUE/FALSE
IF A SYSTEM OF TWO LINEAR EQUTIONS
HAS NO SOLUTION, THEN THE LINES HAVE
DIFFERENT SLOPES

5. 4. THE SOLUTION TO THE LINEAR SYSTEM
BELOW IS THE POINT 𝟒,−𝟑

6. 5. RICKYBOBBY HAS SOME ONE-DOLLAR BILLS
AND SOME FIVE-DOLLAR BILLS. HE HAS 25 BILLS
THE VALUE OF THE BILLS IS 81 DOLLARS. HOW
MANY OF EACH TYPE BILL DOES HE HAVE?

7. 6. FIND THE VALUE OF b THAT MAKES THE SYSTEM
OF EQUATIONS HAVE THE SOLUTIONS 𝟐,𝟑

8. 7. FIND THE SOLUTION TO THE SYSTEM

9. 8. WHICH GRAPH REPRESENTS THE FOLLOWING SYSTEM OF EQUATIONS

10. 9. THREE SYSTEMS?

11. 10. SOLVE THE SYSTEM BY GRAPHING

12. 11. SOLVE THE SYSTEM OF EQUATIONS
BY SUBSTITUTION

13. 12. SOLVE THE SYSTEM OF EQUATIONS BY SUBSTITUTION. CHECK YOUR ANSWER.

14. 13. SOLVE THE SYSTEM OF EQUATIONS BY ELIMINATION. CHECK YOUR SOLUTION.

15. 14. SOLVE THE SYSTEM OF EQUATIONS BY ELIMINATION. CHECK YOUR SOLUTION

16. 15. FIND THE EQUATION OF THE LINE THAT
CONTAINS THE SOLUTION TO THE SYSTEM GRAPHED
BELOW AND THE POINT 𝟔,𝟐

17. 16. JOHN STUDIED COOKING IN FRANCE AND ITALY
FOR 22 MONTHS. HE LEARNED AN AVERAGE OF 120
RECIPES PER MONTH WHILE LIVEN IN FRANCE AND
AN AVERAGE OF 160 RECIPES PER MONTH WHILE
LIVING IN ITALY. IN TOTAL HE LEARNED 2880 NEW
RECIPES. HOW LONG DID JOHN LIVE IN FRANCE
AND HOW LONG DID JOHN LIVE IN ITALY?