1. Direct systems & direct word problems
EOC Review Systems:
Direct systems & direct word problems

2. Direct Problems
Sometimes systems problems are given to us without a word problems!
3 Ways to solve:
Elimination
Substitution
Graphing

3. EXAMPLE: S#1.1 HOW DO WE KNOW THIS IS A SYSTEM?
WHAT METHOD WOULD YOU USE HERE?
WHAT IS THE QUESTION ASKING FOR?
A system of equations is shown below.
x + 6 = 4y
x − 5y = -5
What is the x-value in the solution to the system?

4. Sometimes the system is hidden in a word problem.
LOOK FOR:
Two unknown items
Two ways that those items are combined (often in two sentences)

5. Check it: S#1.2 – PART ONE WHAT ARE THE TWO UNKNOWNS?
WHAT ARE THE TWO WAYS THEY CAN BE COMBINED?
WHAT WOULD THE EQUATIONS BE?
A school store sells pens & pencils.
Pens cost $0.50
Pencils cost $0.20
The store sold a total of 30 items and
made $9.60 from the sale.
How many pencils did the store sell?

6. Check it: S#1.2 – PART TWO HOW DO WE KNOW THIS IS A SYSTEM?
WHAT METHOD WOULD YOU USE HERE?
WHAT IS THE QUESTION ASKING FOR?
A school store sells pens & pencils.
Pens cost $0.50
Pencils cost $0.20
The store sold a total of 30 items and
made $9.60 from the sale.
How many pencils did the store sell?

7. Now You Try Some! Look for the unknown items and their combinations.
Also - Use the skills of key terms and reading the question.

8. Check it: S#1.3 A system of equations is shown below. 3x + 5y = 11
What is the y-value of the solution to the system?

9. Check it: S#1.4 A system of equations is shown below. 2x + y = -7
y = x + 8
What is the solution to the system?

10. Check it: S#1.5
The sum of two numbers is 42. The difference between the two numbers is 16. Which is the smaller of the two numbers?

11. Check it: S#1.6
Jojo bought 4 cookies and 1 brownie at the bake sale for $3.00. Niko bought 12 cookies and 5 brownies for $ What is the cost of 1 cookie?