Sem 1 Midterm Review (Part 1)

Identify all the positive integers in the given inequality: $$x\ <\ 10$$

(a)  

Identify all the positive integers in the given inequality: $$3.5\ >\ x\ \ge-0.5$$

(a)  

Solve the following simultaneous equations.

$$y=-3x\ +\ 5$$ and $$4x\ +\ 2y\ =\ 4$$

Solve the following simultaneous equations.

$$3x\ -\ 2y\ =\ 29$$ and $$4x\ +\ y\ =\ 24$$

Solve the following simultaneous equations.

$$2x\ -\ 3y\ =\ -8$$ and $$5x\ +\ 3y\ -\ 1=0$$

Solve the following simultaneous equations.

$$2x\ -\ 5y\ =\ 24$$ and $$3y\ +\ 4x\ +\ 4\ =\ 0$$

Solve the following simultaneous equations.

$$x\ +\ \frac{y}{2\ }=\ \frac{9}{2}$$ and $$\frac{x}{4}-\frac{y}{6}=\frac{5}{6}$$

(a)  

Solve the following simultaneous equations. (Give your answers correct to two decimal places)

$$3x+y\ =\ 5$$ and $$y\ =\ 2x^2+4x\ -\ 12$$

Solve the given inequality.

$$6m\ -\ 4<-10$$

Solve the given inequality.

$$3x\ +\ 12\ \ge\ 5x\ -\ 10$$