Quiz

Question 1 · easy

Solve by substitution: y = 3x - 1 and 2x + y = 9.

Question 2 · easy

Solve by elimination: 3x + y = 7 and x - y = 1.

Question 3 · easy

Identify: 2x - y = 4 and 4x - 2y = 9. Consistent or inconsistent?

Question 4 · medium

Write the augmented matrix for: 3x - y + 2z = 5 and x + 2y - z = 3 and 2x - y + z = 1.

Question 5 · medium

Solve: y = x^2 - 4 and y = -x + 2.

Question 6 · easy

A system yields the equation 0 = 0 during elimination. What does this mean?

Question 7 · medium

Two numbers sum to 40. One is 4 more than three times the other. Find both numbers.

Question 8 · medium

Solve: x^2 + y^2 = 5 and y = 2x.

Question 9 · medium

Solve by Gaussian elimination: x+y=3 and 2x-y=0.

Question 10 · medium

A mixture of 40% and 80% alcohol makes 100 mL of 60% alcohol. How many mL of each?