Cramer's rule with three equations Quiz
10 questions · easy to harder · Algebra 2 · score and step-by-step answers
How it works
- 10 questions, about 20 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 0 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise the lesson with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
1 Question 1
Solve x + y + z = 6, 2x − y + z = 3, x + 2y − z = 2 by Cramer's ruleType the answer.
2 Question 2
Solve x + 2y + z = 14, 2x + z = 10, 2x + y + z = 14 by Cramer's ruleType the answer.
3 Question 3
Solve 3x + y = 1, 2x + 2y + z = −1, 3x + 2y + z = 0 by Cramer's ruleType the answer.
4 Question 4
Solve x − y + z = 1, 3x − y + z = 5, 2x + y + z = 9 by Cramer's ruleType the answer.
5 Question 5
Solve 3x + 2y + z = 11, x + y − z = 2, 2x + y = 5 by Cramer's ruleType the answer.
6 Question 6
Solve x + 2y + z = 2, 3x + y = 10, x + y = 2 by Cramer's ruleType the answer.
7 Question 7
Solve 3x + y + z = 11, x + y − z = 7, 2x + y + 3z = 6 by Cramer's ruleType the answer.
8 Question 8
Solve x + 3z = 5, 2x − y + 3z = 5, x + 3y + 3z = 11 by Cramer's ruleType the answer.
9 Question 9
Solve x + 3y = −3, x + 2y + 3z = −7, 2x + 3y + z = −2 by Cramer's ruleType the answer.
10 Question 10
Solve x + 2z = 2, x + 2y + z = −2, x − y − z = −3 by Cramer's ruleType the answer.