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PRETEST (Week 4)

Total questions: 15

Worksheet time: 7mins

Name
Class
Date
1.

Which of the following is a quadratic inequality?

a)

x−1+x>7x^{-1}+x>7

b)

y2+x=zy^2+x=z

c)

p2+p≤ 5p^2+p≤\ 5

d)

a+b=ca+b=c

2.

Which of the following is NOT a quadratic inequality?

a)

x2>2x−5x^2>2x-5

b)

2x2−x≥72x^2-x≥7

c)

x2+2x<5x^2+2x<5

d)

2x−2−x ≤ 72x^{-2}-x\ ≤\ 7

3.

Which of the following quadratic inequality is in the standard form?

a)

y2≥2y+6y^2≥2y+6

b)

y2−2y<6y^2-2y<6

c)

y2+2y+6>0y^2+2y+6>0

d)

y(y+2)−6≤0y(y+2)-6≤0

4.

Which quadratic inequality is the same as:  

 x(x+2)>1?x(x+2)>1?  

a)

 x2+2x−1≥0x^2+2x-1≥0  

b)

 x2+2x−1>0x^2+2x-1>0  

c)

 x2+2>1x^2+2>1  

d)

 2x2+2x−1>02x^2+2x-1>0  

5.

The length of a rectangle is 5 units more than its width(w). If its area is greater than 50 sq. units, which of these represents the given as a quadratic inequality?

a)

w(w+5)>50w(w+5)>50

b)

w(w+5)≥50w(w+5)≥50

c)

w(w+50)<5w(w+50)<5

d)

w(w+50)≤5w(w+50)≤5

6.

Which of the following is NOT a solution to the interval notation 

 0≤x≤3?0≤x≤3?  

a)

4

b)

3

c)

2

d)

1

7.

Which interval notation stands for the graph of inequality shown above?

a)

−3<x<4-3<x<4

b)

−3≤x≤4-3≤x≤4

c)

−4<x<3-4<x<3

d)

−4≤x≤3-4≤x≤3

8.

Which of the following is the graph of 

 x2+x−6≤0?x^2+x-6≤0?  

a)
b)
c)
d)
9.

Which graph illustrates the inequality 

 (x−1)(x+2)>0?(x-1)(x+2)>0?  

a)
b)
c)
d)
10.

Which inequality is represented by the graph on the number line above?

a)

x2+x−12>0x^2+x-12>0

b)

x2+x−12<0x^2+x-12<0

c)

x2+x−12≥0x^2+x-12≥0

d)

x2+x−12≤0x^2+x-12≤0

11.

Jessica is printing a tarpaulin for a birthday party banner. The length of the tarpaulin is 3 feet more than its width(w) and its area is at least 40 square feet.


Which inequality represents the problem?

a)

w(w−3)≥40w(w-3)≥40

b)

w(w+3)≥40w(w+3)≥40

c)

3(w+3)≥403(w+3)≥40

d)

3(w+40)≥03(w+40)≥0

12.

Jessica is printing a tarpaulin for a birthday party banner. The length of the tarpaulin is 3 feet more than its width(w) and its area is at least 40 square feet.


What is the solution set of this problem?

a)

 w≥5w≥5  

b)

 w≥6w≥6  

c)

 w≤5w≤5  

d)

 w≤8w≤8  

13.

Jessica is printing a tarpaulin for a birthday party banner. The length of the tarpaulin is 3 feet more than its width(w) and its area is at least 40 square feet.


Which of the following is a possible dimension of the tarpaulin?

a)

l=10ft.,w=5ft.l=10ft.,w=5ft.

b)

l=9ft.,w=5ft.l=9ft.,w=5ft.

c)

l=8ft.,w=5ft.l=8ft.,w=5ft.

d)

l=7ft.,w=5ft.l=7ft.,w=5ft.

14.

A ball is thrown vertically upward with initial velocity of 96 dm./sec. The distance s (in decimeters) of the ball from the ground after time t seconds is  s(t)=96t−16t2s(t)=96t-16t^2 .  For what time is the ball more than 128 dm. above the ground?


Which inequality represents the problem above?

a)

 96t−16t2>12896t-16t^2>128  

b)

 −16t2+96t<128-16t^2+96t<128  

c)

 96t−16t2≥12896t-16t^2≥128  

d)

 −16t2+96t≤128-16t^2+96t≤128  

15.

A ball is thrown vertically upward with initial velocity of 96 dm./sec. The distance s (in decimeters) of the ball from the ground after time t seconds is  s(t)=96t−16t2.s(t)=96t-16t^2.  For what time is the ball more than 128 dm. above the ground?


For what time is the ball more than 128 dm. above the ground?

a)

from 2 - 4 sec.

b)

from 3 - 5 sec.

c)

bet. 3 sec. and 5 sec.

d)

bet. 2 sec. and 4 sec.