# Stage 4 -algebraic techniques

Students can solve linear inequalities and simultaneous equations using analytical methods

## Strategy

Students can solve linear inequalities and simultaneous equations using analytical methods.

## Activities to support the strategy

### Activity 1 – Solving linear inequalities

1.The teacher provides a number of cards which demonstrate the solution of linear equations using symbols and words. In pairs, students arrange the correct sequence to demonstrate the solution of the equation. View/print (PDF 69.41KB)

2. Pairs of students write the steps for solving inequalities on cardboard or paper, cut up and shuffle the cards, then challenge other pairs of students to place the solution steps in order.

### Activity 2 – solving simultaneous equations

1. Students use a spreadsheet or graphics calculator to graph pairs of equations and determine the solution that satisfies both equations. View/print (PDF 11.28KB)

2. The teacher leads a class discussion of possible solutions that satisfy two equations. View/print (PDF 11.28KB)

• What values of x and y are correct for the first equation?
• What values of x and y are correct for the second equation?
• How can you know that you have the correct answer?

## References

### Australian curriculum

ACMNA241: Solve simple quadratic equations using a range of strategies.

### NSW syllabus

MA4-7NA: Operates with ratios and rates, and explores their graphical representation.