Solving Equations with Variables

Solving Equations with Variables

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to derive the equation of a parabola in its general form using three given points. It starts by introducing the general form of a parabola equation and then sets up three equations using the given points. The tutorial demonstrates solving for the constant C first, followed by using elimination to solve for variables A and B. Finally, it combines the results to form the complete equation of the parabola.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the general form of a parabola equation?

y = ax^3 + bx^2 + c

y = ax^2 + b

y = ax^2 + bx + c

y = ax + b

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many equations are needed to solve for three variables?

Two

One

Four

Three

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What value is determined when x is 0 in the equation y = ax^2 + bx + c?

a

b

c

x

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of C when y is 11 and x is 0?

11

5

0

3

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of the equation when y is 5 and x is 1?

a + c = 5

a + b = 5

a + b + c = 5

b + c = 5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the equation when y is 3 and x is 2?

a + 2b + c = 3

2a + b + c = 3

a + b + c = 3

4a + 2b + c = 3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of subtracting 11 from both sides of the equation a + b + c = 5?

a + b = -6

a + b = 6

a + b = -5

a + b = 5

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