Lesson 2.15
2.15 Algebraic and graphical solution of simultaneous equations in two unknowns, where the equations could both be linear or one linear and one second order Quiz: AQA Further Maths, Unit 2
20 questions
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Lesson 2.15, Algebraic and graphical solution of simultaneous equations in two unknowns, where the equations could both be linear or one linear and one second order: 20 multiple choice questions for the AQA GCSE Further Maths (8365), Unit 2: Algebra, written with Revision Ninja.
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The 20 questions
-
Solve x + y = 5 and x − y = 1.
- (4, 1)
- (3, 2)
- (2, 3)
- (5, 1)
-
How many solutions does a pair of parallel straight lines have as simultaneous equations?
- Infinitely many
- None
- One
- Two
-
Solve y = x + 1 and y = 2x − 3.
- (5, 4)
- (4, 3)
- (4, 5)
- (−4, −3)
-
What feature on a graph represents the solution to a pair of simultaneous equations?
- y-intercept
- Maximum point
- Gradient of line
- Point of intersection
-
Solve 2x + 3y = 12 and y = 2.
- (0, 4)
- (2, 3)
- (3, 2)
- (6, 2)
-
Solve 3x + y = 11 and x − y = 1.
- (2, 3)
- (4, −1)
- (3, 2)
- (3, −2)
-
Solve y = x^2 and y = x + 2.
- (2, 4) and (1, −1)
- (2, 4) and (−1, 1)
- (−2, 0) and (1, 3)
- (2, 4) only
-
Solve y = x and x^2 + y^2 = 8.
- (2, 2) only
- (2, 2) and (−2, −2)
- (4, 4) and (−4, −4)
- (2, 2) and (2, −2)
-
How many real solutions does y = 3x − 2 and y = x^2 + 1 have?
- 1
- 0
- Infinitely many
- 2
-
Solve x^2 + y^2 = 25 and x = 3.
- (3, 4) and (3, −4)
- (3, 4) only
- (3, 5) and (3, −5)
- (4, 3) and (4, −3)
-
Solve x + y = 10 and xy = 21.
- x = 4, y = 6
- x = 2, y = 8
- x = 1, y = 9
- x = 3, y = 7 or x = 7, y = 3
-
Solve x + 2y = 4 and 2x − y = 3.
- (2, −1)
- (1, 2)
- (2, 1)
- (4, 0)
-
Solve y = x and y = x^2 − 6.
- (3, 3) and (−2, −2)
- (3, 3) and (2, 2)
- (3, 3) only
- (−3, −3) and (2, 2)
-
Solve x − y = 3 and xy = 10.
- (5, 2) only
- (5, 2) and (−2, −5)
- (−5, −2) and (2, 5)
- (5, 2) and (2, −5)
-
For what value of k does y = x^2 + k touch y = 2x at exactly one point?
- 2
- 4
- −1
- 1
-
Solve y = x + 3 and x^2 + y^2 = 9.
- (0, 3) and (3, 0)
- (0, 3) and (−3, 0)
- (0, 3) only
- (0, −3) and (−3, 0)
-
Solve 2x + y = 7 and x^2 − y = 1.
- (−2, 3) and (4, −1)
- (2, 3) and (4, −15)
- (2, 3) only
- (2, 3) and (−4, 15)
-
Two numbers have a sum of 11 and a product of 28. What are the numbers?
- 5 and 6
- 4 and 7
- 3 and 8
- 2 and 9
-
The line y = 2x meets the circle x^2 + y^2 = 20. At which points do they meet?
- (4, 2) and (−4, −2)
- (2, 4) and (−2, −4)
- (2, 4) only
- (2, 4) and (2, −4)
-
Given x + y = 4 and x^2 + y^2 = 10, what is xy?
- 3
- 2
- 7
- 6
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