Graphs of Equations flashcards
43 practice cards drawn from the Graphs of Equations lessons. Tap a card to turn it over. Every answer is checked against the lesson it came from.
Read the Graphs of Equations lessons in full →
Which pair names the marked point?
(4, 5)
from “The Coordinate Plane”
Where do the lines cross?
(1, 4)
from “Simultaneous Equations”
Where does y = 3x + 2 cross the y-axis?
2
from “y = mx + c”
What is the gradient of y = 2x + 4?
2
from “y = mx + c”
Write y = 7 − 1x in the form Ax + By = C.
1x + y = 7
from “Writing a Line as Ax + By = C”
Where does 2x + 3y = 12 cross the y-axis?
4
from “Writing a Line as Ax + By = C”
Which point is y − 6 = 3(x − 4) written from?
(4, 6)
from “Point-Slope Form of a Line”
Write the line through (2, 5) with gradient 3 in point-slope form.
y − 5 = 3(x − 2)
from “Point-Slope Form of a Line”
If , what is y when x = 2?
8
from “Quadratic and Cubic Graphs”
If , what is y when x = 3?
9
from “Quadratic and Cubic Graphs”
For , what is the average rate of change from x = 2 to x = 6?
2
from “The Average Rate of Change Over an Interval”
A curve passes through (2, 0) and (4, 6). What is the average rate of change?
3
from “The Average Rate of Change Over an Interval”
The tangent at P passes through the two marked points. Estimate the gradient at P.
1
from “Estimating a Gradient with a Drawn Tangent”
If , what is y when x = 6?
6
from “Reciprocal Graphs”
If , what is y when x = 2?
18
from “Reciprocal Graphs”
Which graph never goes below the x-axis?
from “The Graphs of y = axⁿ”
On , y is at x = 3. What is y at x = −3?
from “The Graphs of y = axⁿ”
y = |x − 6|. What is y when x = 3?
3
from “The Graph of y = |x|”
Where does y = |2x − 6| turn?
(3, 0)
from “The Graph of y = |x|”
. At which x do the bars change nothing?
x = 3
from “Taking the Modulus of a Whole Expression”
. At which x do the bars change nothing?
x = 3
from “Taking the Modulus of a Whole Expression”
y = |x| − 1. Where is the corner?
(0, −1)
from “Replacing x with a Modulus”
Which one has a V with its corner on the y-axis?
y = |x| − 1
from “Replacing x with a Modulus”
Two lines meet at (3, 4). What does that tell you?
both equations are true there
from “Intersections of Graphs”
Two lines meet at (3, 1). What does that tell you?
both equations are true there
from “Intersections of Graphs”
What is the radius of ?
4
from “The Equation of a Circle”
What is the center of ?
(3, −4)
from “The Equation of a Circle”
Complete the square: becomes what?
from “Center and Radius by Completing the Square”
Complete the square: becomes what?
from “Center and Radius by Completing the Square”
What is the gradient of the tangent to at (8, 15)?
from “The Tangent to a Circle at a Point”
What is the gradient of the tangent to at (3, 4)?
from “The Tangent to a Circle at a Point”
Where does y = 5 meet ?
x = 12 or x = −12
from “Where a Line Meets a Circle”
Substitute y = x + 1 into . Which equation appears?
from “Where a Line Meets a Circle”
How far along the x-axis does reach?
3
from “The Equation of an Ellipse”
Which way is longer?
across
from “The Equation of an Ellipse”
What are the asymptotes of ?
from “The Equation of a Hyperbola”
Which equation opens into two separate branches?
from “The Equation of a Hyperbola”
A distance time graph climbs 20 each hour. What is the speed?
20
from “Distance-Time Graphs”
A distance time graph climbs 40 each hour. What is the speed?
40
from “Distance-Time Graphs”
A steady speed of 20 for 3 hours. How far does that cover?
60
from “Speed-Time Graphs”
A steady speed of 20 for 2 hours. How far does that cover?
40
from “Speed-Time Graphs”
A line crosses y at 2 and climbs 3 per step. What is its equation?
y = 3x + 2
from “A Line in Graph, Table and Equation”
A line crosses y at 4 and climbs 2 per step. What is its equation?
y = 2x + 4
from “A Line in Graph, Table and Equation”