A-level Mathematics/OCR/C1/Equations/Solutions

Manipulating Equations

Collecting Like Terms

1. 2x
2. $4x^2$
3. $3x^3+5x$
4. $3zy+2y+2z$
5. $-x^2+4x^{2}y+4x{y}^2+7xy$

Multiplication

1. $4x^2$
2. $18x^2{y}^2$
3. $36a{b}^{2}xz$
4. $60x^5{y}^4{z}^2$
5. $\sqrt{x^5}$

Fractions

1. $x$
2. $\frac{7x}{12}$
3. $\frac{16xy}{15}$
4. $2x-y+z$
5. $\frac{x^2+y^2}{xy}$

Solving Equations

Changing the Subject of an Equation

1. Solve for x.

   $x=\frac{y}{2}$

2. Solve for z.

   $z=\frac{x-8}{3}$

3. Solve for y.

   $y=b^2$

4. Solve for x.

   $x=\sqrt{y+9}$

5. Solve for b.

   $b=\frac{6y+7z}{6}$

Solving Quadratic Equations

Find the Roots of:

1. $x=-2or3$
2. $x=7or\frac{3}{2}$
3. $x=2or3$
4. $x=-1or0$
5. $x=-3or4$