Unit #5
LINEAR, QUADRATIC &
SIMULTANEOUS EQUATIONS
Solved Self Assessment Questions
Q.1 Fill in the blanks .
- Two algebraic expressions which involves variables and constant is called equations .
- Graph of linear equation gives straight line
- linear equations are first degree equations
- Quadratic equations are second degree equations
- Three are three methods to solve quadratic equations .
- If b^2 -4ac >0 then the roots of quadratic equations are distinct and real
- If b^2 -4ac <0 then the roots of quadratic equations are not real
- If b^2 -4ac =0 then the roots of quadratic equations are equal and real roots .
- Extraneous roots are those roots that do not satisfy the original equation .
- Simultaneous equations is a set of more than two equations
Q.2 Choose the correct answer .
1._______sign must hold in equation .
a) = b)not equal c)<= d)>=
2.The value of ________for which the equation is true is known as the solution set of an equation.
a)Known b)Unknown c)Familiar d) none
3.Linear equation has ______root
a)Three b) two c) one d) no
4.The _______is true for root and value of solution set .
a)Equation b) Variable c)Constant d)none
5.Root is technical term to represent elements of the _________
a)Variable b) equation c) Solution set d)none
6.Method to solve quadratic equations are ___________
a) Factorization b) Quadratic formula c)completing square d)All
7.In equation 5x+3=y , x and y are __________
a)Constant b) variables c) number d)none
8.ax^2+bx+c=0 is the standard form of _________ equation .
a)Quadratic b) linear c)Both a and b d) none
9.b^2-4ac is the _________in quadratic formula.
a)Roots b) solution set c)Discriminant d)none
10.If discriminant root is zero then quadratic equation has ________root.
a)Fourth b)Double c)Triple d)Single
Q.3 True / false
- In linear equation degree of variable is more than 1 . T/F
- Quadratic equation has two roots . T/F
- There are four methods to solve quadratic equation. T/F
- It is not possible to calculate the solution set of linear equation in single variable . T/F
- To find the solution set of any equation it is necessary to simplify the equation into its simplest form . T/F
- If we apply any algebraic operation at one side of the equation , then we must apply that algebraic operation on other side as well . T/F
- Completing square is one of the method to solve linear equation. T/F
- In quadratic equation degree of variable is >2 . T/F
- az^2+bz+c=0 is the quadratic equation in z . T/F
- If discriminant is negative then roots are complex . T/F
Q.4 Solve the following questions .