Linear and Nonlinear equations worksheet

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The Tutoring Experts Tue, Nov 22, 2022 05:42 PM UTC

A linear equation is used to represent a straight line in a graph, whereas non-linear equations are used to represent curves.

1. Name:
Exam Style Questions
Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser
You may use tracing paper if needed
1. Read each question carefully before you begin answering it.
2. Donʼt spend too long on one question.
3. Attempt every question.
4. Check your answers seem right.
5. Always show your workings
Revision for this topic
© CORBETTMATHS 2014

2. 1." Solve the equations
" " " x² + y² = 20
" " " x+y=6
.....................................................
(4)
2." Solve the equations
" " " xy = 24"
" " " x=y−2
.....................................................
(4)
© CORBETTMATHS 2014

3. 3." Solve the simultaneous equations
" " " 2x − y = 7
" " " xy = 15
.....................................................
(4)
4." Solve the equations
" " " x² + y² = 17
" " " x + 4y = 0
" " "
.....................................................
(4)
© CORBETTMATHS 2014

4. 5." Solve the equations
" " " x + 2y = 3
" " " x² + 3xy = 10
" " "
.....................................................
(4)
6." Solve the equations
" " " x² + y² = 45
" " " 5x − 3y = 21
" Give your answers to 1 decimal place.
" " "
.....................................................
(5)
© CORBETTMATHS 2014

5. 7." Solve the equations
" " " 2x + y = 11
" " " 2x² − y² = 23
" " "
.....................................................
(4)
8." Solve the equations
" " " x² − y² = 7
" " " 2y = 2 + x
" " "
.....................................................
(5)
© CORBETTMATHS 2014

6. 9." Solve the equations
" " " x² + y² = 25
" " " x+y=7
" " "
.....................................................
(5)
10." Solve the equations
" " " y = x² − 5
" " " y = 2x − 2
" " "
.....................................................
(5)
© CORBETTMATHS 2014

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