# Lesson Worksheet: Cramer’s Rule Mathematics • 10th Grade

In this worksheet, we will practice using Cramer’s rule to solve a system of linear equations.

Q1:

Consider the following simultaneous equations:

Write the determinant .

• A
• B
• C
• D
• E

Write the determinant .

• A
• B
• C
• D
• E

Write the determinant .

• A
• B
• C
• D
• E

Q2:

Consider the following linear system of equations in matrix form: .

Write the determinant .

• A
• B
• C
• D
• E

Write the determinant .

• A
• B
• C
• D
• E

Write the determinant .

• A
• B
• C
• D
• E

Q3:

Use determinants to solve the system

• A,
• B,
• C,
• D,
• E,

Q4:

Use determinants to solve the system

• A, ,
• B, ,
• C, ,
• D, ,

Q5:

Use determinants to solve the system

• A,
• B,
• C,
• D,
• E,

Q6:

According to Cramer’s rule and given that write the simultaneous equations of the system.

• A,
• B,
• C,
• D,
• E,

Q7:

Use determinants to solve the system

• A, ,
• B, ,
• C, ,
• D, ,
• E, ,

Q8:

Is Cramer’s rule useful for finding solutions to systems of linear equations in which there is an infinite set of solutions?

• AYes
• BNo

Q9:

Noah is solving simultaneous equations using Cramer’s rule. He writes down the following:

What does he write down for ?

• A
• B
• C
• D
• E

Q10:

Solve, using Cramer's rule, the simultaneous equations

• A, ,
• B, ,
• C, ,
• D, ,
• E, ,