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WorksheetsChapter 25 Quiz
Total questions: 15
Worksheet time: 8mins
Name
Class
Date
1.
Which option does not describe the meaning of generalising?
a)
part of the process of mathematical thinking in which the underlying patterns in the mathematics are explored
b)
a specific example related to a mathematical idea
c)
capacity to devise general statements or symbolic expressions from patterns
d)
developing a principle, statement or idea having general application
2.
Which statement relating to algebraic thinking is incorrect?
a)
Algebraic thinking is about understanding mathematical structure.
b)
Algebraic thinking is about exploring generalisations.
c)
Algebraic thinking is about manipulating symbols.
d)
Algebraic thinking provides the language and structure for modelling situations, solving problems and proving generalisations.
3.
Research has shown that many secondary students experience difficulties with algebra. Which option describes the least effective way of supporting primary students to successfully transition to algebra?
a)
emphasise finding computational answers to arithmetic problems
b)
promote understanding of arithmetic at a level that enables students to explain and justify the operations they are using
c)
encourage students to generalise the structure of arithmetic
d)
allow students time to justify and explain solutions to problems
4.
Which statement best describes how letters should be used in algebra?
a)
Replace letters with numerical values.
b)
Regard letters as shorthand names.
c)
Treat letters as letters of the alphabet.
d)
Regard letters as symbols to represent unknowns and variables.
5.
Which statement relating to how letters should be introduced is incorrect?
a)
Use a range of letters and student-generated symbols.
b)
Use letters that are shorthand for the names of the objects in the problem.
c)
Emphasise that the letter chosen stands for any number; that is, it is a variable.
d)
In the context of a problem, use letters to represent the number of objects not the objects themselves.
6.
Which statement does not describe how variables should be introduced?
a)
Variables should be introduced in problem-solving situations.
b)
Variables should be seen as a way of assisting students to write a rule.
c)
Variables should be seen as a way of overcoming cumbersome everyday language in writing generalisations succinctly.
d)
Variables should be presented to students in a very abstract way.
7.
Which option is equivalent to 2n + 3?
a)
5n
b)
2 + n + 3
c)
2 × n + 3
d)
6n
8.
Which statement relating to equivalence and equations is incorrect?
a)
The equals sign means ‘the answer is coming’.
b)
The equals sign is used to show equivalent relationships.
c)
Representing equations using a physical balance scale helps to develop an understanding of the connection between equality and balance.
d)
When taking an amount from one side of a balance scale, an equivalent amount must be taken from the other side of the scale.
9.
Which option describes a line of working that is incorrect when solving x + 2y = x − 3y + 4?
a)
Subtract x from both sides of the equation to produce 2y = −3y + 4.
b)
Subtract 3y from both sides of the equation to produce x − y = x + 4.
c)
Add 3y to both sides of the equation to produce x + 5y = x + 4.
d)
Subtract 2y from both sides of the equation to produce x = x − 5y + 4.
10.
Which option describes a correct way of solving 5n + 3 = 3n + 9?
a)
Add 3n to both sides, subtract 3 from both sides and then divide by 8 to obtain the value for n.
b)
Subtract 3n from both sides, subtract 3 from both sides and then divide by 8 to obtain the value for n.
c)
Add 9 to both sides, add 3n to both sides and then divide by 2 to obtain the value for n.
d)
Subtract 3n from both sides, subtract 3 from both sides and then divide by 2 to obtain the value for n.
11.
Which statement relating to algebraic laws is incorrect?
a)
All algebraic laws are generalisations of the laws that govern our number system.
b)
Understanding and applying algebraic laws helps us to simplify expressions and equations.
c)
Many algebraic laws emerge as students explore number context.
d)
Algebraic laws should first be explored for large numbers and non-numbered situations and then expressed in terms of specific numbers only.
12.
Which statement relating to simplifying expressions and equations is incorrect?
a)
Simplifying expressions and equations relies on a deep understanding of the mathematical properties and the notion of equivalence
b)
The best way that equations can be simplified and solved is by learning and using rules and procedures.
c)
The distributive law helps us to simplify expressions and equations.
d)
To develop understanding, students can be asked to explore simplifications of expressions and equations that have errors and explain how to fix the errors.
13.
Which option is not a correct statement about the independent and dependent variables in the rule y = 2x + 1?
a)
The independent variable is x.
b)
The dependent variable is y.
c)
In a horizontal table of values, the independent variable is shown in the top row.
d)
In a vertical table of values, the dependent variable in shown in the first column.
14.
In terms of functions, there are three components that constitute a mapping. Which option does not show one of these components?
a)
scale
b)
input
c)
rule
d)
output
15.
Which statement does not describe a way that primary students can engage successfully with algebraic thinking?
a)
Students should engage with a variety of problems in a structured way.
b)
Students should use a variety of representations to assist them to think algebraically.
c)
Students should be introduced to formal methods.
d)
Students should articulate generalisations and justify their solutions.
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