Quadratic and non-linear simultaneous equations Quiz

1. Solve $y=x+1$ and $y=x^2-5$.

• A. $(3,4)$ and $(-2,-1)$
• B. $(-3,-2)$ and $(2,3)$
• C. $(3,4)$ and $(2,3)$
• D. $(3,-5)$ and $(-2,-1)$

2. How many points do $y=x^2+1$ and $y=2x$ have in common?

• A. $0$
• B. $2$
• C. $1$
• D. $3$

3. How many points do $y=x-5$ and $y=x^2+1$ have in common?

• A. $1$
• B. $0$
• C. $2$
• D. Infinitely many

4. Solve $x+y=7$ and $xy=12$.

• A. $(3,4)$ only
• B. $(2,5)$ and $(5,2)$
• C. $(1,6)$ and $(6,1)$
• D. $(3,4)$ and $(4,3)$

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

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