PDF Algebra: Simplifying Algebraic Expressions, Expanding ...
Algebra: Simplifying Algebraic Expressions, Expanding Brackets, Solving Linear Equations, Applications. KS3, KS4. Non-Calculator.
A. Simplify the following expressions:
1.
5.
8.
9.
10.
11.
12.
13.
14.
15.
16.
18.
20.
22.
24.
26.
28.
29.
30.
31.
1
B. Expand the brackets and simplify where possible.
1. 4(x ? 3) 3. 5. 7. 9. 11. 13. 15. (x ? 3) 17. 19. 21. 23. 25. 27. 29. 31. 33. 34. 35. 37. 40.
2. 4(2x ? 3)
16. 4(2x ? 3)
28. 32.
36.
2
C. Solve the following equations:
1.
5.
7.
9.
10.
13.
16.
18.
20.
22.
24.
26.
28.
34.
35.
36.
38.
40.
3
APPLICATIONS: 1. The width of a rectangle is x centimeters and its length is (x + 5) cm.
(x + 5)
Diagram not drawn to scale
x
(a) Write down an expression for the perimeter of the rectangle, giving your answer in its simplest form. The perimeter of the rectangle is 62 cm.
(b) Work out the length of the rectangle.
2. The diagram below is a rectangle. All measurements are in centimeters.
Diagram not drawn to scale
(2x + 10)
(x - 3 )
28 cm
(a) Work out the value of x. (b) Hence, work out the perimeter and area of the rectangle.
4
3. PQR is an isosceles triangle with PQ = PR, and angle QPR = x?.
Angle PQR = (2x + 30)?
P Diagram not drawn to scale
PR = (2r + 3) cm
x
QR = (r + 3) cm
(2r + 3)
(2x + 30)?
Q
R
(r + 3)
(a) Find an expression for the perimeter of the triangle in terms of r, giving your answer in its simplest form.
(b) Work out the value of r, if the perimeter is 49 cm.
(c) Work out the value of x.
4. The area of the right-angled triangle is equal to the area of the rectangle. Work out the value of x. All measurements are in centimeters.
10
Diagrams not drawn to scale
x
15
25
20
5
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related download
- pdf name teacher numeracy year 7 8
- pdf printable maths worksheets for 7 year olds
- pdf math resource studio
- pdf nets of 3d shapes online maths assessment and worksheets
- pdf grade 7 pre algebra end of the year test math mammoth
- pdf year 7 maths revision autumn term ark elvin academy
- pdf inferences worksheet 7 ereading worksheets free reading
- pdf mathematics practice test department of education and training
- pdf year 7 maths homework testwood sports college
- pdf calculate the simple interest for the word problems
Related searches
- solving algebraic expressions calculator
- simplifying radical expressions calculator
- simplifying radical expressions practice
- simplifying radical expressions worksheet
- simplifying radical expressions multiplying
- algebraic expressions and equations practice
- writing algebraic expressions worksheet pdf
- simplifying algebraic expressions worksheets pdf
- simplifying radical expressions with variables
- simplifying radical expressions answer key
- simplifying radical expressions answer sheet
- simplifying radical expressions worksheet key