Embedded Files
2.6-Algebra-Checklist.pdfThis topic is mainly about manipulating rational, exponential, and logarithmic algebraic expressions into various forms in order to solve problems. This will involve forming, visualizing and using linear and quadratic equations to answer problems from both a mathematical as well as a real life context.
There are a lot of quite abstract ideas in this topic but if you can take each topic one step at a time you will soon find that you can put your skills together to answer exam questions correctly!
#0.5 Algebra Rules
Ground work: get familiar with some rules of algebra! They are very handy and useful!!
#1 Expanding and Factorising
#1 Expanding and Factorising
Watch this video from Nancy Pi and then answer the questions on this slideshow.
Or do sections 1.1 & 1.2 of the 2.6 Algebra section of Education Perfect !
#2 Understand and use fractional and negative exponents
#2 Understand and use fractional and negative exponents
Exponent Laws
The videos on the left explain two simple exponent laws.
You can practice these on Education Perfect under 4.1 review of Exponent Laws
#3 Add, subtract, times and divide algebraic fractions
#3 Add, subtract, times and divide algebraic fractions
Add and Subtract algebraic fractions: this video explains how to add and subtract algebraic fractions
Multiply and Divide algebraic fractions: this video explains how to multiply and divide (multiply the reciprocal) algebraic fractions. However, for the most of cases, we could simply before we multiply and divide.
#4 Form and solve linear equations and inequations
#4 Form and solve linear equations and inequations
# 5 Solve quadratic equations
What is the relationship between the vertex and roots in quadratics? How do we know there are two roots, or one root, or no real roots?
This video demonstrates how to form a quadratic equation to solve a word problem.
#6 Solve quadratic inequations and higher polynomials
#6 Solve quadratic inequations and higher polynomials
This video shows the graphical representation of a quadratic inequality and how to find the possible solutions.
#7 Solve exponential equations using logarithms
#7 Solve exponential equations using logarithms
This slide dec k demonstrates the properties of logarithms and how to solve logarithmic equations - taking logs on the both sides of equations to solve exponential equations.
This video provides some examples of how to apply logarithm rules (properties).
Past Papers
Past Papers
Access NZQA Past Exams on this link!
Use “Examination Paper” filter for the exam
Use “Assessment Schedule” filter for the answers
Access NZQA Past Exams on this link!
Use “Examination Paper” filter for the exam
Use “Assessment Schedule” filter for the answers
Use the hyperlinked doc on the right below to access tutorial videos for EVERY question from the 2020 prelims.
Use the hyperlinked doc on the right below to access tutorial videos for EVERY question from the 2020 prelims.
The Exam Papers and schedules themselves are also linked below for your perusal!
The Exam Papers and schedules themselves are also linked below for your perusal!
2022 Prelim with schedule doc underneath
91261 - 2022 - Algebra Practice.pdf91261 - 2022 - Algebra Practice Mark Schedule.docx2019 Prelim with answer at the end
91261 - 2019 - L2 Algebra Prelim.docx2018 Prelim with answer at the end
2018 L2 Algebra Prelim with answer schedule.pdf2017 Prelim with Schedule doc underneath
91261 Algebra 2017 Prelim.pdf91261 Algebra 2017 Prelim Schedule.pdfReport abuse