Quiz

Question 1 · easy

Solve by substitution: { y = 2x - 3; x + y = 9 }

Question 2 · easy

Solve by elimination: { 3x + y = 10; x - y = 2 }

Question 3 · medium

Solve: { 2x + 3y = 18; 4x - y = 2 }

Question 4 · easy

Identify: { x + y = 5; 2x + 2y = 10 }. How many solutions?

Question 5 · medium

Adult tickets cost $10 and child tickets $4. 50 tickets sold for $380. How many adult tickets?

Question 6 · medium

Solve: { 5x - 2y = 4; -5x + 4y = 8 }

Question 7 · medium

$5000 invested: part at 2%, rest at 4%. Total interest = $148. Amount at 4%?

Question 8 · medium

Identify: { 3x - 6y = 9; x - 2y = 4 }. How many solutions?

Question 9 · challenge

Find two numbers with sum 35 and product 300.

Question 10 · challenge

A plane flies 900 miles with a tailwind in 3 hours. The return trip against the wind takes 4.5 hours. Find the plane's speed and wind speed.