Simultaneous equations Quiz

1. Solve $2x+3y=12$ and $x-y=1$.

• A. $x=3,\ y=2$
• B. $x=2,\ y=3$
• C. $x=-3,\ y=-2$
• D. $x=4.5,\ y=1$

2. A line $y=2x-3$ meets $y=x^2$. Which equation gives the $x$-coordinates?

• A. $x^2+2x-3=0$
• B. $x^2-2x+3=0$
• C. $x^2-2x-3=0$
• D. $x^2+2x+3=0$

3. How many solutions does $y=x+5$, $y=x^2+x+1$ have?

• A. $0$
• B. $1$
• C. $2$
• D. $3$

4. For which $k$ is $y=x+k$ a tangent to $y=x^2$?

• A. $k=\frac14$
• B. $k=-\frac14$
• C. $k=\frac12$
• D. $k=1$

5. Two numbers have sum 10 and product 21. Which pair?

• A. $2$ and $8$
• B. $4$ and $6$
• C. $5$ and $5$
• D. $3$ and $7$