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Quiz_301_Group 1

Total questions: 20

Worksheet time: 15mins

Name
Class
Date
1.

Complete the square for x2 + 6x - 57

a)

(x-6)2-57

b)

(x+3)2-66

c)

(x-3)2-66

d)

(x+6)2-57

2.

Complete the square for 2x2-8x-7

a)

2(x+2)2-15

b)

2(x-2)2-5

c)

2(x-2)2 + 15

d)

2(x+2)2+15

3.

Using the quadratic formula, solve 3x2+42x-21=0

a)
b)
c)
d)
4.

Using the quadratic formula, solve 18n2-9n-324=0

a)
b)
c)
d)
5.

Read and answer the question below

a)

2m

b)

2 1/12m

c)

5/6 m

d)

5m

6.

Find the range of values of the constant k for which the equation (1-2x)(x+2)=k has 2 distinct and real roots.

a)

k< 3 1∕8

b)

k< 0.5

c)

k> -2

d)

k> 3 1∕8

7.

Find value of k when the equation x2+8x-15-k=y has 2 real and equal roots

a)

k > -31

b)

k = 15

c)

k > 1.56

d)

k=-31

8.

Find the range of values of the constant k for which the equation 3kx2+4x-12=0has no real roots.

a)

k> -1/9

b)

k < 12

c)

k< -1/9

d)

k > 12

9.

Find the solution of(1-x)2 ≤ 17-2x

a)

8 ≥ x ≥ -4

b)

-8 ≤ x ≤ 8

c)

4 ≤ x ≤ -4

d)

-4 ≤ x ≤4

10.

Find the solution of x2-5x-27 > 1-2x

a)

x < -7 or x > 4

b)

-4 < x < 7

c)

x< -4 or x > 7

d)

-7< x <4

11.

x2+2x+5 ≥ 0 for all real values of x

a)

true

b)

false

12.

Solve (x+5)(x-5)>0

a)

x > 10

b)

x < -5 or x > 5

c)

x > -5 or x < 5

d)

x < 10

13.

the graph below is incorrect for the equation : -(-2x2 - 6x - 2.5)

a)

true

b)

false

14.

Find the range of values of m for the curve y=2x2-mx+2, in which the equation y=0 has real roots.

a)

m > 0

b)

m > 2 or m < - 2

c)

m ≥ 2 or m ≤ - 2

d)

m ≥ 4 or m ≤ - 4

15.

The coordinates of the turning point of x2-5x+2 is…

a)

(2.5, -4.25)

b)

(-2.5, 20.75)

c)

(3, -4)

d)

(3.5, -3.25)

16.

The graph below is for the equation (x+4)(x-q). The line of symmetry is x=-0.5

a)

true

b)

false

17.

Find the range of values of k for which the line x-y=3k meets the curve x2+kx-k=y

a)
b)
c)
d)
18.

Find the range of values of k for which y = (k-6)x2- 8x +k cuts the axis at 2 distinct points and has a minimum point.

a)

k > 2

b)

-2<k<8

c)

k > 6

d)

k > 8 or k < 6

19.

Find the value of m for which the line y=mx+4 is a tangent to the curve y=-x2, where m < 0.

a)

m > 4

b)

m=4

c)

m < 4

d)

m=-4

20.

Find the range of values of the constant k for which the line y=x+k does not intersect the curve y=x2 at all.

a)

k > -1/4

b)

k < 1/4

c)

k<-1/4

d)

k > 1/4