2023 IGM Quiz: Practice with Term 1 Flashcards

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Questions and Answers

What mathematical terms and verbs should you be fluent in understanding for this test?

Transpose, expand, simplify, evaluate

What is the equipment needed for the test?

Blue or black pen, calculator

What percentage of the test questions are categorized as complex unfamiliar?

20%

What is the main focus of Topic 2 - Equations?

Rearranging/transposing algebraic equations to make a desired variable the subject Signup and view all the answers

How would you solve a multistep equation involving fractions?

By first clearing the fractions by multiplying both sides of the equation by the least common denominator. Signup and view all the answers

Explain the process of solving an equation with variables on both sides.

You would first simplify the equation by collecting like terms on each side before isolating the variable term to one side. Signup and view all the answers

How do you solve a multi-step linear equation derived from a real-life scenario?

You would first translate the given scenario into an equation, solve it step by step using inverse operations, and then interpret the solution in the context of the scenario. Signup and view all the answers

What is the point of intersection on a graph and how would you state it?

The point of intersection is where two lines on a graph meet, and it is stated as a set of coordinates in the form (x, y). Signup and view all the answers

How do you verify a solution for a pair of simultaneous equations through substitution?

You substitute the solution values into both equations to check if they satisfy both equations simultaneously. Signup and view all the answers

Explain the process of solving simultaneous equations algebraically using the substitution method.

You solve one equation for one variable, then substitute that expression into the other equation to solve for the other variable. Signup and view all the answers

Expand and simplify: $4(y - 5)$

$4y - 20$ Signup and view all the answers

What is the solution to the simultaneous equations: 2 burgers + 3 bowls of chips = $24 and 4 burgers + 2 bowls of chips = $40?

Burger cost: $8, Bowl of chips cost: $4. Assumption: Prices of burgers and chips are constant for both families. Signup and view all the answers

Find the value of $x$ in the equation: $3(x + 2) = 21$

$x = 5$ Signup and view all the answers

Calculate the side length of a cube with volume 125cm$^3$.

Side length = 5 cm Signup and view all the answers

Solve the equation: $-4x(x + 1) + 3(x + 2x)$

$-4x^2 - 4x + 3x + 6x$ Signup and view all the answers

Using the substitution method, solve the simultaneous equations: $2m + 3n = 24$ and $4m - 2n = 40$

$m = 8, n = 4$ Signup and view all the answers

Study Notes

Topic 1: Algebra

Use algebraic vocabulary to identify different parts of an algebraic expression or equation: term, variable, pronumeral, coefficient, and constant.
Solve algebraic equations through substitution.
Complete a table of values for a given function by substituting into an equation.
Simplify algebraic expressions by: • Identifying and collecting like terms (+ and -) • Multiplying (× and ÷)
Expand an algebraic expression using the 'Distributive Law' to then simplify where required.

Simplifying Expressions

Simplify expressions by combining like terms (+ and -)
Simplify expressions by multiplying and dividing to simplify
Expand and simplify expressions using the Distributive Law

Topic 2: Equations

Rearrange/transpose an algebraic equation to make a desired variable the subject.
Solve multistep equations using inverse operations in the correct order (SADMOB) while showing correct setting out, including: • Equations involving fractions • Variable on both sides • Brackets
Solve multi-step linear equations that are derived from worded scenarios that model real-life applications.
Identify the point of intersection on a graph by stating the solution as a set of coordinates.
Verify a solution for a pair of simultaneous equations through substitution.
Solve simultaneous equations algebraically using the substitution method.
Set up a problem with more than one variable by constructing a set of suitable simultaneous equations that model a real-life application.
Efficiently use algebra in a variety of contexts to solve and evaluate problems.

Solving Equations

Transpose to make the pronumeral in the brackets the subject
Solve simple equations using algebra
Solve worded life-related problems using algebra – simple equations
Solve simultaneous equations graphically
Solve simultaneous equations algebraically using the substitution method
Solve worded life-related problems using algebra – simultaneous equations

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Description

This quiz provides details about the assessment for the 10 IGM class in Term 1, 2023. It includes information about the test format, equipment needed, time allowed, and task overview.