Simultaneous Equations Quiz

1. Solve $x + y = 10$ and $x - y = 2$ simultaneously.

• A. $x=6, y=4$
• B. $x=4, y=6$
• C. $x=5, y=5$
• D. $x=8, y=2$

2. When using elimination on $3x+2y=16$ and $x+2y=8$, what should you do first?

• A. Add the equations directly
• B. Subtract the equations directly, since $y$ coefficients already match
• C. Multiply the second equation by 3
• D. Divide the first equation by 2

3. Which method is most efficient for $y = 3x - 2$ and $2x + y = 8$?

• A. Elimination
• B. Substitution, replacing $y$ with $3x-2$
• C. Trial and improvement
• D. Graphing only

4. Solve $y = x^2$ and $y = x + 2$ simultaneously.

• A. $x=2, y=4$ only
• B. $x=-1, y=1$ only
• C. $x=2,y=4$ and $x=-1,y=1$
• D. No real solutions

5. A shop sells 2 pens and 3 rulers for $16, and 1 pen and 1 ruler for $6.50. What is the cost of one pen?

• A. $3.00
• B. $3.50
• C. $4.00
• D. $2.50