This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Term 2, 2012 Coolum Beach Christian College Year 9
Number and algebra: Patterns and algebra
PRACTICE EXAM – Topic Test 1 Name:___________________
FLUENCY
Mark
1 For the expression −5xy2 +2y + 8y2 + 6 the coefficient of the third term is:A 5B 2C 8D 6E 5
1
2The coefficient of x2 in the expression + + is:
A 5B 4
C
D 3
E
1
3What is simplified?
A
B
C
D
E
1
4 Mel had $60 in her purse. She spent $(x + 10). The amount left is:A $(x − 50)B $(60 − x)C $(70 − x)D $(x − 70)E $(50 − x)
18 Answer the following for each expression.(i) State the number of terms.(ii) State the constant (if there is one).(iii) State the term with the smallest coefficient.
(a) 3x2 4x + 5(b) y3 4 − y(c) 6ab2 + 7b2 + 2a2b
9
19 A class of x students goes to the beach. One-third of the class swims in the ocean while one-fifth of the class plays beach volleyball.(a) Write an expression to represent the number of students who swam.(b) Write an expression to represent the number of students who played beach
volleyball.(c) Write an expression to represent the total number of students who either swam
or played beach volleyball.
3
20 Alex buys pencils at cents and biros at cents.(a) How much did he spend?(b) Factorise the expression.
23 Jackie is making her own cards. She is using a rectangular piece of paper with dimensions 12 cm high and 9 cm wide. She has put p cm margins on the top and bottom of the paper and margins of q cm on the left and right sides of the paper.(a) Write an expression for the height of the paper on which he is able to write.(b) Write an expression for the width of the paper on which he can write.(c) Write an expression for the area of the paper inside the margins.(d) If , what is the area allowed for writing?
(a) Write an expression for the perimeter.(b) Write an expression for the area.(c) If x = 3 m and y = 8 m, what is the area?(d) Using the answer from (c), find how many boxes of oranges, 60 cm long and
50 cm wide, you can fit on the pallet so that the minimum space is left over (no overhanging).
25 A rectangular mattress top has a length of 5y cm and a width of 2y cm.(a) Write an expression for its perimeter.(b) Write an expression for its area.(c) If all sides are increased by z cm, write an expression for the new perimeter
and expand.(d) Find the perimeter when y = 5 cm, z = 3 cm.(e) Write an expression for the new area and expand.(f) Find the area when
26 A rectangular swimming pool is (2y + 3) m long and 5y m wide. It is surrounded by a steel fence that is q m from the edge of the pool.(a) Write an expression for the perimeter of the pool.(b) Write an expression for the area of the pool.(c) Write an expression for the length of the fence along the length of the pool.(d) Write an expression for the width of the fence.(e) Write an expression for the perimeter of the fence around the pool.(f) Write an expression for — the area enclosed by the fence.
(Do not expand.)(g) Find the area between the pool and the fence. (Do not expand.)(h) Find the area between the pool and the fence when and .
27 Pavika found a small photo frame and decided to put one of her favourite photos in it. The width of the metal surround is cm. Unfortunately, the glass of the photo frame is damaged and will need to be replaced.
(a) Write expressions for the height and width of the glass.(b) Write an expression for the perimeter of the glass.(c) If the perimeter of the glass is 22 cm, what is the height and width of the glass?(d) Show that an expression for the area of the glass is .(e) Calculate the area when the width of the metal is 1.2 cm.