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GCSE Secondary Maths Age 13-17 - Graphs: Solving Equations Using Graphs - Explained

GCSE Secondary Maths Age 13-17 - Graphs: Solving Equations Using Graphs - Explained

Assessment

Interactive Video

Mathematics

10th - 12th Grade

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial covers the equation of a circle, explaining how to identify its center and radius. It then moves on to solving simultaneous equations by graphing, specifically focusing on finding the intersection points of a circle and a line. The tutorial emphasizes the importance of understanding the graphing process and accurately identifying coordinates.

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7 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the general form of a circle's equation?

X^2 + y^2 = r^2

X^2 - y^2 = r^2

X + y^2 = r^2

X^2 + y = r^2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you determine the radius from the equation X^2 + y^2 = 12.25?

Multiply 12.25 by 2

Take the square root of 12.25

Divide 12.25 by 2

Add 12.25 to itself

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the radius of the circle with the equation X^2 + y^2 = 12.25?

3.0

3.5

4.0

4.5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving the simultaneous equations X^2 + y^2 = 12.25 and 2X + y = 1 graphically?

Solve algebraically

Draw the circle only

Ignore the linear equation

Rearrange the linear equation

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-intercept of the line 2X + y = 1?

-1

2

1

0

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the points of intersection between the circle and the line?

By solving algebraically

By finding where the graphs intersect

By guessing

By using a calculator

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the coordinates of the intersection points found in the video?

(1, 2) and (-1, 3)

(0, 0) and (3, 3)

(2, -2.9) and (-1.2, 3.4)

(2, 2) and (-2, -2)

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