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Huzaifah Algebra

This document is a Year 7 Mathematics practice test focusing on algebraic techniques. It includes various exercises such as identifying terms and coefficients, writing expressions, evaluating expressions, simplifying, and expanding. The test covers fundamental algebra concepts and provides answers for self-assessment.

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hibahrasool503
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0% found this document useful (0 votes)
45 views4 pages

Huzaifah Algebra

This document is a Year 7 Mathematics practice test focusing on algebraic techniques. It includes various exercises such as identifying terms and coefficients, writing expressions, evaluating expressions, simplifying, and expanding. The test covers fundamental algebra concepts and provides answers for self-assessment.

Uploaded by

hibahrasool503
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Year 7 Mathematics

Algebraic Techniques Practice Test 1


Name__________________________

1. a) List the individual terms in the expression 5a + b + 14c .


b) State the coefficient of each pronumeral in the expression 5a + b + 14c .
c) Give an example of an expression with exactly two terms, one of which is a
constant term.

2 Write an expression for each of the following.


a) 3 more than a

b) 5 less than m

c) the sum of a and b

d) double the value of y

e) the product of a and b

3. Write an expression for each of the following without using the x or ÷ symbols.

a) a is halved, then 6 is added

b) the sum of a and b is taken and then divided by 3

c) the sum of a and one-third of b

d) 7 is subtracted from y and the result is tripled


4 Given that a = 5, evaluate:

10
a) a + 7 b) 8a c) +4−a
a
5 Substitute x = 4 and y = 7 to evaluate these expressions.

a) 5x + y + 8 b) 80 – (2xy + y )
6 If p = 4 and t = 5, find the value of:

a) 3p2 b) t2 + p3 c) p 2 + 32

7 Which two of these expressions are equivalent: 3x + 4, 8 – x , 2x + 4 + x ?

8 Which of the following pairs are like terms?


a) 3a and 2a b) 3b and 3c c) 2ab and 5ba d) 4k and k e) 2a and 4ab
9 Simplify the following by collecting like terms.
a) 7b + 2 + 3b
b) 12d – 4d + d
c) 5 + 12a + 4b – 2 – 3a
d) 13a + 8b + 2a – 5b – 4a
e) 12uv + 7v – 3vu + 3v

10 Write 4 x a x b x c without multiplication signs.

11 Simplify 4a x 2b x 3c, giving your fi nal answer without multiplication signs.

12 Simplify 3w x 4w.

13 Write (2a + 1) ÷ 3 without a division sign.


8ab
14 Simplify the expression
12b

15 Expand the following expressions.

a) 5(x + 3)
b) 8(a – 4)
c) 3(a + 2b)

d) 5a(3p – 7q)
Answers
1. a) 5a, b, 14c .
b) coefficient of a is 5 coefficient of b is 1 coefficient of c is 14 .
c) An example is 2a + 7 you could a different example – check

2. a) a + 3

b) m – 5

c) a + b

d) 2 x y

e) a x b

a
3. a) +6
2

a+b
b)
3

b
c) a +
3

d) 3(y – 7)

4 a) 12 b) 40 c) 1

5 a) 35 b) 17
6 a) 48 b) 89 c) 5

7 3x + 4 and 2x + 4 + x ?

8 a) yes b) no c) yes d) yes e) no

9 a) 10b + 2
b) 9d
c) 5 + 9a + 4b + 3
d) 11a + 3b
e) 9uv + 10v

10 4abc

11 24abc
12 12w2.

2a +1
13
3
2a
14 Simplify the expression
3

15 Expand the following expressions.

a) 5x + 15
b) 8a – 32
c) 3a + 6b

d) 15ap – 35aq

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