Lesson Worksheet: Cramer’s Rule Mathematics
In this worksheet, we will practice using Cramer’s rule to solve a system of linear equations.
Q1:
Jacob is solving simultaneous equations using Cramer’s rule. He writes down
What does he write down for ?
- A
- B
- C
- D
- E
Q3:
Use determinants to solve the system
- A
- B
- C
- D
- E
Q5:
Use determinants to solve the system
- A,
- B,
- C,
- D,
- E,
Q6:
Use determinants to solve the system
- A,
- B,
- C,
- D,
- E,
Q8:
Solve, using Cramer's rule, the simultaneous equations
- A, ,
- B, ,
- C, ,
- D, ,
- E, ,
Q9:
11 sketchbooks and 15 crayons cost 377 LE, and 15 sketchbooks and 16 crayons cost 474 LE. Use Cramer’s rule to find the price of a sketchbook and the price of a crayon.
- AA sketchbook costs 9 LE and a crayon costs 2.70 LE.
- BA sketchbook costs 22 LE and a crayon costs 9 LE.
- CA sketchbook costs 441 LE and a crayon costs 9 LE.
- DA sketchbook costs 22 LE and a crayon costs 1,078 LE.
- EA sketchbook costs 441 LE and a crayon costs 1,078 LE.
Q10:
Use Cramer’s rule to solve the simultaneous equations
- A, ,
- B, ,
- C, ,
- D, ,
- E, ,
Q11:
Use determinants to solve the system
- A, ,
- B, ,
- C, ,
- D, ,
Q13:
Use determinants to solve the system
- A,
- B,
- C,
- D,
- E,
Q14:
Use determinants to solve the system
- A,
- B,
- C,
- D,
- E,
Q15:
True or False: Suppose that is a system of equations with . Then
- AFalse
- BTrue
Q16:
Is Cramer’s rule useful for finding solutions to systems of linear equations in which there is an infinite set of solutions?
- AYes
- BNo
Q17:
True or False: In Cramer’s rule, .
- AFalse
- BTrue
Q18:
True or False: Cramer’s rule is used to determine solutions to linear systems when the determinant of the coefficient matrix equals zero.
- ATrue
- BFalse
Q19:
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
Q20:
Use Cramer’s rule to solve the linear system of equations that is in matrix form:
- A,
- B,
- C,
- D,
- E,
Q21:
Complete the following: In Cramer’s rule, .
- A
- B
- C
Q22:
According to Cramer’s rule and given that
write the simultaneous equations of the system.
- A, ,
- B, ,
- C, ,
- D, ,
- E, ,
Q23:
In Cramer’s rule, given that find the value of and .
- A,
- B,
- C,
- D,
- E,
Q24:
According to Cramer’s rule and given that write the simultaneous equations of the system.
- A,
- B,
- C,
- D,
- E,
Q25:
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
Write the determinant .
- A
- B
- C
- D
- E