I Foramtive Assessment-4 Slip Test - Feb 25 20 Marks 45 Min Answer The Following Question? 4X1=4m 1) Lite The Quadrant In Which The Following Points Lie? (-2,3), (51-3), (4,2), (7,6). Are The Point (5-6) And (6,5) Same ? Justi Find The Value Of X In
I Foramtive Assessment-4 Slip Test - Feb 25 20 marks 45 min
Answer the following question? 4X1=4m
1.1 Lite the quadrant in which the following Points lie?
To determine the quadrant in which each point lies, we need to consider the signs of the x and y coordinates.
- Point (-2,3): Since the x-coordinate is negative and the y-coordinate is positive, this point lies in the second quadrant.
- Point (5,-3): Since the x-coordinate is positive and the y-coordinate is negative, this point lies in the fourth quadrant.
- Point (4,2): Since both the x and y coordinates are positive, this point lies in the first quadrant.
- Point (7,6): Since both the x and y coordinates are positive, this point lies in the first quadrant.
1.2 Are the Point (5-6) and (6,5) same?
To determine if the two points are the same, we need to compare their coordinates.
- Point (5-6): This point has an x-coordinate of -1 and a y-coordinate of -6.
- Point (6,5): This point has an x-coordinate of 6 and a y-coordinate of 5.
Since the coordinates of the two points are not the same, the points (5-6) and (6,5) are not the same.
1.3 Justify find the value of x in
Unfortunately, there is no equation provided to find the value of x. However, we can provide a general approach to solving for x in a linear equation.
If we have an equation in the form of ax + b = c, where a, b, and c are constants, we can solve for x by isolating x on one side of the equation.
For example, if we have the equation 2x + 3 = 7, we can solve for x as follows:
2x + 3 = 7
Subtract 3 from both sides:
2x = 4
Divide both sides by 2:
x = 2
Therefore, the value of x is 2.
However, without a specific equation, we cannot provide a specific value for x.
2.1 Find the value of x in the equation 2x + 5 = 11
To solve for x, we can follow the steps outlined above.
2x + 5 = 11
Subtract 5 from both sides:
2x = 6
Divide both sides by 2:
x = 3
Therefore, the value of x is 3.
2.2 Find the value of x in the equation x/2 + 3 = 7
To solve for x, we can follow the steps outlined above.
x/2 + 3 = 7
Subtract 3 from both sides:
x/2 = 4
Multiply both sides by 2:
x = 8
Therefore, the value of x is 8.
3.1 Find the value of x in the equation 3x - 2 = 14
To solve for x, we can follow the steps outlined above.
3x - 2 = 14
Add 2 to both sides:
3x = 16
Divide both sides by 3:
x = 16/3
Therefore, the value of x is 16/3.
4.1 Find the value of x in the equation 2x + 1 = 9
To solve for x, we can follow the steps outlined above.
2x + 1 = 9
Subtract 1 from both sides:
2x = 8
Divide both sides by 2:
x = 4
Therefore, the value of x is 4.
5.1 Find the value of x in the equation x/4 + 2 = 5
To solve for x, we can follow the steps outlined above.
x/4 + 2 = 5
Subtract 2 from both sides:
x/4 = 3
Multiply both sides by 4:
x = 12
Therefore, the value of x is 12.
6.1 Find the value of x in the equation 2x + 2 = 10
To solve for x, we can follow the steps outlined above.
2x + 2 = 10
Subtract 2 from both sides:
2x = 8
Divide both sides by 2:
x = 4
Therefore, the value of x is 4.
7.1 Find the value of x in the equation x/3 + 1 = 4
To solve for x, we can follow the steps outlined above.
x/3 + 1 = 4
Subtract 1 from both sides:
x/3 = 3
Multiply both sides by 3:
x = 9
Therefore, the value of x is 9.
8.1 Find the value of x in the equation 3x - 1 = 12
To solve for x, we can follow the steps outlined above.
3x - 1 = 12
Add 1 to both sides:
3x = 13
Divide both sides by 3:
x = 13/3
Therefore, the value of x is 13/3.
9.1 Find the value of x in the equation 2x + 3 = 9
To solve for x, we can follow the steps outlined above.
2x + 3 = 9
Subtract 3 from both sides:
2x = 6
Divide both sides by 2:
x = 3
Therefore, the value of x is 3.
10.1 Find the value of x in the equation x/2 + 2 = 6
To solve for x, we can follow the steps outlined above.
x/2 + 2 = 6
Subtract 2 from both sides:
x/2 = 4
Multiply both sides by 2:
x = 8
Therefore, the value of x is 8.
11.1 Find the value of x in the equation 3x - 2 = 13
To solve for x, we can follow the steps outlined above.
3x - 2 = 13
Add 2 to both sides:
3x = 15
Divide both sides by 3:
x = 5
Therefore, the value of x is 5.
12.1 Find the value of x in the equation 2x + 1 = 11
To solve for x, we can follow the steps outlined above.
2x + 1 = 11
Subtract 1 from both sides:
2x = 10
Divide both sides by 2:
x = 5
Therefore, the value of x is 5.
13.1 Find the value of x in the equation x/4 + 1 = 5
To solve for x, we can follow the steps outlined above.
x/4 + 1 = 5
Subtract 1 from both sides:
x/4 = 4
Multiply both sides by 4:
x = 16
Therefore, the value of x is 16.
14.1 Find the value of x in the equation 2x + 2 = 12
To solve for x, we can follow the steps outlined above.
2x + 2 = 12
Subtract 2 from both sides:
2x = 10
Divide both sides by 2:
x = 5
Therefore, the value of x is 5.
15.1 Find the value of x in the equation x/3 + 1 = 5
To solve for x, we can follow the steps outlined above.
x/3 + 1 = 5
Subtract 1 from both sides:
x/3 = 4
Multiply both sides by 3:
x = 12
Therefore, the value of x is 12.
16.1 Find the value of x in the equation 3x - 1 = 16
To solve for x, we can follow the steps outlined above.
3x - 1 = 16
Add 1 to both sides:
3x = 17
Divide both sides by 3:
x = 17/3
Therefore, the value of x is 17/3.
17.1 Find the value of x in the equation 2x + 3 = 13
To solve for x, we can follow the steps outlined above.
2x + 3 = 13
Subtract 3 from both sides:
2x = 10
Divide both sides by 2:
x = 5
Therefore, the value of x is 5.
18.1 Find the value of x in the equation x/2 + 2 = 7
To solve for x, we can follow the steps outlined above.
x/2 + 2 = 7
Subtract 2 from both sides:
x/2 = 5
Multiply both sides by 2:
x = 10
Therefore, the value of x is 10.
19.1 Find the value of x in the equation 3x - 2 = 19
To solve for x, we can follow the steps outlined above.
3x - 2 = 19
Add 2 to both sides:
3x = 21
Divide both sides by 3
I Foramtive Assessment-4 Slip Test - Feb 25 20 marks 45 min
Q&A Section
1.1 What is the difference between a linear equation and a quadratic equation?
A linear equation is an equation in which the highest power of the variable (usually x) is 1. For example, 2x + 3 = 5 is a linear equation.
A quadratic equation, on the other hand, is an equation in which the highest power of the variable is 2. For example, x^2 + 4x + 4 = 0 is a quadratic equation.
1.2 How do I solve a linear equation?
To solve a linear equation, you can follow these steps:
- Simplify the equation by combining like terms.
- Isolate the variable (usually x) on one side of the equation.
- Use inverse operations to solve for the variable.
For example, to solve the equation 2x + 3 = 5, you can follow these steps:
- Simplify the equation: 2x + 3 = 5
- Subtract 3 from both sides: 2x = 2
- Divide both sides by 2: x = 1
1.3 What is the difference between a direct variation and an inverse variation?
A direct variation is a relationship between two variables in which one variable is a constant multiple of the other variable. For example, y = 2x is a direct variation.
An inverse variation, on the other hand, is a relationship between two variables in which one variable is a constant divided by the other variable. For example, y = 2/x is an inverse variation.
1.4 How do I graph a linear equation?
To graph a linear equation, you can follow these steps:
- Find the x-intercept by setting y = 0 and solving for x.
- Find the y-intercept by setting x = 0 and solving for y.
- Plot the x-intercept and y-intercept on a coordinate plane.
- Draw a line through the two points.
For example, to graph the equation y = 2x + 3, you can follow these steps:
- Find the x-intercept: 2x + 3 = 0 --> 2x = -3 --> x = -3/2
- Find the y-intercept: y = 2(0) + 3 --> y = 3
- Plot the x-intercept and y-intercept on a coordinate plane.
- Draw a line through the two points.
1.5 What is the difference between a function and a relation?
A function is a relation in which each input (x-value) corresponds to exactly one output (y-value). For example, f(x) = 2x is a function.
A relation, on the other hand, is a set of ordered pairs in which each input (x-value) may correspond to more than one output (y-value). For example, {(1,2), (1,3), (2,4)} is a relation.
1.6 How do I determine if a relation is a function?
To determine if a relation is a function, you can follow these steps:
- Check if each input (x-value) corresponds to exactly one output (y-value).
- If each input corresponds to exactly one output, then the relation is a function.
For example, to determine if the relation {(1,2), (1,3), (2,4)} is a function, you can follow these steps:
- Check if each input (x-value) corresponds to exactly one output (y-value).
- Since the input 1 corresponds to two outputs (2 and 3), the relation is not a function.
1.7 What is the difference between a linear function and a quadratic function?
A linear function is a function in which the highest power of the variable (usually x) is 1. For example, f(x) = 2x + 3 is a linear function.
A quadratic function, on the other hand, is a function in which the highest power of the variable is 2. For example, f(x) = x^2 + 4x + 4 is a quadratic function.
1.8 How do I graph a quadratic function?
To graph a quadratic function, you can follow these steps:
- Find the x-intercepts by setting y = 0 and solving for x.
- Find the y-intercept by setting x = 0 and solving for y.
- Plot the x-intercepts and y-intercept on a coordinate plane.
- Draw a parabola through the three points.
For example, to graph the function f(x) = x^2 + 4x + 4, you can follow these steps:
- Find the x-intercepts: x^2 + 4x + 4 = 0 --> (x + 2)^2 = 0 --> x = -2
- Find the y-intercept: f(0) = 0^2 + 4(0) + 4 --> f(0) = 4
- Plot the x-intercept and y-intercept on a coordinate plane.
- Draw a parabola through the three points.
1.9 What is the difference between a rational function and an irrational function?
A rational function is a function in which the numerator and denominator are both polynomials. For example, f(x) = x^2 / (x + 1) is a rational function.
An irrational function, on the other hand, is a function in which the numerator and denominator are not both polynomials. For example, f(x) = sqrt(x) is an irrational function.
1.10 How do I determine if a function is rational or irrational?
To determine if a function is rational or irrational, you can follow these steps:
- Check if the numerator and denominator are both polynomials.
- If the numerator and denominator are both polynomials, then the function is rational.
- If the numerator and denominator are not both polynomials, then the function is irrational.
For example, to determine if the function f(x) = x^2 / (x + 1) is rational or irrational, you can follow these steps:
- Check if the numerator and denominator are both polynomials.
- Since the numerator and denominator are both polynomials, the function is rational.
1.11 What is the difference between a polynomial function and a non-polynomial function?
A polynomial function is a function in which the numerator and denominator are both polynomials. For example, f(x) = x^2 + 4x + 4 is a polynomial function.
A non-polynomial function, on the other hand, is a function in which the numerator and denominator are not both polynomials. For example, f(x) = sqrt(x) is a non-polynomial function.
1.12 How do I determine if a function is a polynomial or non-polynomial?
To determine if a function is a polynomial or non-polynomial, you can follow these steps:
- Check if the numerator and denominator are both polynomials.
- If the numerator and denominator are both polynomials, then the function is a polynomial.
- If the numerator and denominator are not both polynomials, then the function is non-polynomial.
For example, to determine if the function f(x) = x^2 + 4x + 4 is a polynomial or non-polynomial, you can follow these steps:
- Check if the numerator and denominator are both polynomials.
- Since the numerator and denominator are both polynomials, the function is a polynomial.
1.13 What is the difference between a continuous function and a discontinuous function?
A continuous function is a function in which the graph can be drawn without lifting the pencil from the paper. For example, f(x) = x^2 is a continuous function.
A discontinuous function, on the other hand, is a function in which the graph cannot be drawn without lifting the pencil from the paper. For example, f(x) = 1/x is a discontinuous function.
1.14 How do I determine if a function is continuous or discontinuous?
To determine if a function is continuous or discontinuous, you can follow these steps:
- Check if the graph can be drawn without lifting the pencil from the paper.
- If the graph can be drawn without lifting the pencil from the paper, then the function is continuous.
- If the graph cannot be drawn without lifting the pencil from the paper, then the function is discontinuous.
For example, to determine if the function f(x) = x^2 is continuous or discontinuous, you can follow these steps:
- Check if the graph can be drawn without lifting the pencil from the paper.
- Since the graph can be drawn without lifting the pencil from the paper, the function is continuous.
1.15 What is the difference between a one-to-one function and a many-to-one function?
A one-to-one function is a function in which each input (x-value) corresponds to exactly one output (y-value). For example, f(x) = 2x is a one-to-one function.
A many-to-one function, on the other hand, is a function in which each input (x-value) corresponds to more than one output (y-value). For example, f(x) = x^2 is a many-to-one function.
1.16 How do I determine if a function is one-to-one or many-to-one?
To determine if a function is one-to-one or many-to-one, you can follow these steps:
- Check if each input (x-value)