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Wk24Day5 Create # of Sltns in Systems

Total questions: 15

Worksheet time: 1hrs 7mins

Name
Class
Date
1.

Select values for aa  and  bb  so that the system has one solution.


 y=5x+1y=5x+1  
 y=ax+by=ax+b  

a)

 a=5a=5  

b)

 a=a=  any # except 5

c)

 b=b=  1

d)

 b=b=  any #

2.

Select values for aa  and  bb  so that the system has no solution.


 y=4x+3y=-4x+3  
 y=ax+by=ax+b  

a)

 a=4a=-4  

b)

 a=a=  any # except -4

c)

 b=b=  3

d)

 b=b=  any # except 3

e)

 b=b=  -3

3.

Select values for aa  and  bb  so that the system has an infinite number of solutions.


 y=9x2y=9x-2  
 y=ax+by=ax+b  

a)

 a=9a=9  

b)

 a=a=  any # except 9

c)

 b=b=  2

d)

 b=b=  any # except -2

e)

 b=b=  -2

4.

Enter a value for  aa  so that the system has no solution.


 y=4x+2y=4x+2  
 y=ax+3y=ax+3  



(a)  

5.

Enter a value for  bb  so that the system has infinite solutions.


 y=6x7y=6x-7  
 y=6x+by=6x+b  



(a)  

6.

TRUE or FALSE: If you input  a  and  bb  as below, you will get a system with one solution.


 y=2x+1y=2x+1  
 y=ax+by=ax+b  
 a=3a=3        b=5b=5  

a)

TRUE

b)

FALSE

7.

TRUE or FALSE: If you input  a  and  bb  as below, you will get a system with no solutions.


 y=2x+1y=2x+1  
 y=ax+by=ax+b  
 a=2a=2        b=1b=1  

a)

TRUE

b)

FALSE

8.

TRUE or FALSE: If you input  a  and  bb  as below, you will get a system with infinite solutions.


 y=2x+1y=2x+1  
 y=ax+by=ax+b  
 a=2a=2        b=1b=1  

a)

TRUE

b)

FALSE

9.

Which numbers are irrational? Select all that apply.

a)

 2π2\pi  

b)

 25\sqrt{25}  

c)

0.512

d)

 11\sqrt{11}  

e)

-14

10.

Select all of the RATIONAL terms.

a)

25\sqrt{25}

b)

12 1212\ \frac{1}{2}

c)

6\sqrt{6}

d)

π\pi

e)

0.290.\overline{29}

11.

Which expression is equivalent to  85 (84)2 8^5\cdot\ \left(8^4\right)^{-2}\   ?

a)

 83 8^{3\ }  

b)

 898^9  

c)

 (18)2\left(\frac{1}{8}\right)^2  

d)

 (18)3\left(\frac{1}{8}\right)^3  

12.

Select ALL fractions equivalent to:

 0.60.\overline{6}   

a)

 69\frac{6}{9}  

b)

 699\frac{6}{99}  

c)

 23\frac{2}{3}  

d)

 233\frac{2}{33}  

e)

 06\frac{0}{6}  

13.

Select ALL fractions equivalent to:

 4.634.\overline{63}  

a)

 4 631004\ \frac{63}{100}  

b)

 4 63994\ \frac{63}{99}  

c)

 4 144\ \frac{1}{4}  

d)

 4 364\ \frac{3}{6}  

e)

 4 7114\ \frac{7}{11}  

14.

Select all of the perfect squares.

a)

25

b)

8

c)

216

d)

64

e)

81

15.

Select all of the perfect cubes.

a)

25

b)

8

c)

216

d)

64

e)

81