Three equations in x, y, z Quiz
10 questions · easy to harder · Algebra 1 · 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 = 0, x − y + 3z = 8, x − y − z = −4Type the answer.
2 Question 2
Solve x + 3y + z = 12, x − y − z = 0, x − y + z = 8Type the answer.
3 Question 3
Solve x + y − z = 3, x − y − z = 1, x + y + 3z = −1Type the answer.
4 Question 4
Solve x − y + 3z = 7, x + y − z = −1, x − y − z = 3Type the answer.
5 Question 5
Solve 2x + 3y + z = −1, x − y − z = 3, x − y + z = 5Type the answer.
6 Question 6
Solve x − y − z = 0, x + y − z = 10, x + y + 3z = 6Type the answer.
7 Question 7
Solve x − 2y + z = −3, 2x + y − z = 13, x + y + z = 3Type the answer.
8 Question 8
Solve x + 2y + z = 3, 2x − y − z = 2, x + y + z = 4Type the answer.
9 Question 9
Solve x + y + z = 6, 2x + 3y − z = 5, 3x − 2y + z = 19Type the answer.
10 Question 10
Solve x + 3y + z = 10, 2x − y + z = 2, x + y − z = −2Type the answer.