Maths test

Maths: Chapter Test 2: Quadratic equation
I.
Solve equations:
1. Solve each equations below by Graphing:
2
a. x  3 x  2 0
2
b.  2 x  3 x  5 0
2
c. x  4 x  5 0
2
d. 9 x  6 x  1 0
2. Solve each equations below by Factoring:
2
e.  x  3 x  4 0
2
f.  2 x  7 x  9 0
2
g.  2 x  5 x  7 0
2
h. x  6 x  7 0
3. Solve each equations below by Completing Square:
2
a. x  4 x  5 0
2
b.  4 x  8 x  9 0
4. Solve each equations below by quadratic fomular:
2
a. 3 x  4 x  7 0
2
2

b. 3 x  4 x 2 x  3 x  8
2
c.  x  5 x  6 0
2
d. 3 x  7 x  10 0
5. Find solutions of equations below without solve equation:
2
a. x  5 x  6 0
2
b. x  x  20 0
6. Find each equations with the solutions below:

a.
b.

x1 
t1 

1 3
1 3
; x2 
2
2

5  13
5  13
; t2 
3
3

5
3
u1  ; u2 
2
2
c.
7. Factoring:
2
a. x  5 x  6 0


II.
1.
2.
3.
4.
5.
6.
7.
8.

2
b.  x  3 x  2 0
Solving Problems:
A rectangle’s sides are 2x and (x-2). A square has equals side x. The area of
boths shape is equal. Find x in cm?
One number is square of another. Their sum is 132. Find number?
The different of two numbers is 2 and their product is 224. Find two
numbers?
The Area of rectangle is 560 square inches. The length is 3 more than twice

the width. Find the length and the width?
The sum of two numbers is 27 and their product is 50. Find the numbers?
The three sides of a right-angled triangle are x, x+1 and 5. Find x and the
area, if the longest side is 5.
The product of two consecutive integers ( 2 số liền kề) is 132. Frame an
equation for the statement. What is the degree of the equation?
The length of a rectangle is greater than its breadth by 3m. If its area be 10
sq. m, find the perimeter.

Homework:
1. Suppose the area of a rectangle is 114.4 m2 and the length is 14 m longer than the
width. Find the length and width of the rectangle.
2. A manufacturer develops a formula to determine the demand for its product
depending on the price in dollars. The formula is
D = 2,000 + 100P - 6P2
where P is the price per unit, and D is the number of units in demand. At what
price will the demand drop to 1000 units?