Exploring Systems of Linear Equations

What is the first step when faced with a complicated word problem?

• Identify what you are looking for

• Write down the equations

• Assign variables to unknowns

• Solve the equations

If Sheila's age is represented by X and her dad's age by Y, how can you express the statement 'Sheila's age and her dad's age add up to 63'?

• X + Y = 63

• X - Y = 63

• X / Y = 63

• X * Y = 63

How would you represent Sheila's age five years ago if her current age is X?

• X - 5

• 5 - X

• X + 5

• 5X

What is the simplified form of the equation Y - 5 = 5(X - 5) - 1?

• Y = 5X - 26

• Y = 5X - 21

• Y - 5 = 5X - 21

• Y - 5 = 5X - 26

What method is suggested to solve the system of equations X + Y = 63 and Y = 5X - 21?

• Graphing method

• Substitution method

• Elimination method

• Matrix method

What are Sheila's and her dad's ages if X = 14?

• Sheila is 14 and her dad is 50

• Sheila is 15 and her dad is 50

• Sheila is 14 and her dad is 49

• Sheila is 15 and her dad is 49

How can you express the cost of 3 pounds of avocados and 2 pounds of onions if the total cost is $18?

• 3X - 2Y = 19

• 3X + 2Y = 19

• 3X - 2Y = 18

• 3X + 2Y = 18

What is the equation for your friend's purchase of 4 pounds of avocados and 1 pound of onions for $19?

• 4X - Y = 19

• 4X + Y = 19

• 4X + 2Y = 19

• 4X + 3Y = 19

What is the price per pound of avocados if X = 4?

• $6

• $3

• $4

• $5

What is the price per pound of onions if Y = 3?

• $2

• $4

• $3

• $5