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Maths Pure Edexcel A-Level
Maths Pure Edexcel A-Level :T2 Algebra and Functions Y1
Equations and Inequalities
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Cards (20)
In linear simultaneous equations, the set of values that satisfies both equations is called a
solution
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How many unknowns do linear simultaneous equations have?
Two
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The method of elimination requires the coefficient of one unknown to be the same in both equations.
True
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Steps to solve the simultaneous equation 2𝑥 + 𝑦 = 6 and 6𝑥 + 2𝑦 = 24 using elimination
1️⃣ Multiply the first equation by 2
2️⃣ Subtract the new equation from the second equation
3️⃣ Solve for 𝑥
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What value of 𝑥 is obtained after eliminating 𝑦 from the equations 2𝑥 + 𝑦 = 6 and 6𝑥 + 2𝑦 = 24?
6
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Quadratic simultaneous equations can have up to two sets of
solutions
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Match the equation type with the appropriate solution method:
Linear simultaneous equations ↔️ Elimination or substitution
Quadratic simultaneous equations ↔️ Substitution
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The solutions of simultaneous equations can be represented on a
graph
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What are the two values of 𝑦 obtained when solving the simultaneous equation 𝑦! + 2𝑥 = 10 and 2𝑥 + 𝑦 + 2 = 0?
−3 and 4
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The intersection point on a graph of two lines represents a solution to their simultaneous equations.
True
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What does solving an inequality find?
Set of real numbers
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To solve a quadratic inequality, we first find its critical
values
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Critical values of an inequality are similar to roots of a function.
True
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Match the inequality with its solution:
2𝑥! − 3𝑥 − 2 > 0 ↔️ 𝑥 > 2 or 𝑥 < −1/2
2𝑥! − 3𝑥 − 2 < 0 ↔️ −1/2 < 𝑥 < 2
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What is the value of 𝑦 in the solution of the simultaneous equations 2𝑥 + 𝑦 = 6 and 6𝑥 + 2𝑦 = 24?
−6
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The solution to the inequalities 2𝑥 − 5 < 3𝑥 + 8 and 3𝑥 + 9 ≤ 𝑥 − 5 is −13 <
𝑥
≤ −7
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If 𝑦 > 𝑓(𝑥), the region satisfied is above the curve or line.
True
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What are the two points of intersection for the equations 𝑦 = 𝑥! and 𝑦 = 2𝑥 + 3?
(3,9) and (−1,1)
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Match the inequality with its corresponding region on a graph:
𝑦 − 𝑥 < 3 ↔️ Region below the line
𝑥! − 8𝑥 + 15 ≤ 𝑦 ↔️ Region above the curve
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The solution to the inequality 2𝑥 + 3 > 𝑥! lies between the intersection points −1 < 𝑥
< 3
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