Wk24Day5 Create # of Sltns in Systems

Select values for $a$  and  $b$  so that the system has one solution.

 $y=5x+1$  
 $y=ax+b$  

•  $a=5$  

•  $a=$  any # except 5

•  $b=$  1

•  $b=$  any #

Select values for $a$  and  $b$  so that the system has no solution.

 $y=-4x+3$  
 $y=ax+b$  

•  $a=-4$  

•  $a=$  any # except -4

•  $b=$  3

•  $b=$  any # except 3

•  $b=$  -3

Select values for $a$  and  $b$  so that the system has an infinite number of solutions.

 $y=9x-2$  
 $y=ax+b$  

•  $a=9$  

•  $a=$  any # except 9

•  $b=$  2

•  $b=$  any # except -2

•  $b=$  -2

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

 $y=4x+2$  
 $y=ax+3$  

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

 $y=6x-7$  
 $y=6x+b$  

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

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

• TRUE

• FALSE

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

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

• TRUE

• FALSE

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

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

• TRUE

• FALSE

Which numbers are irrational? Select all that apply.

•  $2\pi$  

•  $\sqrt{25}$  

• 0.512

•  $\sqrt{11}$  

• -14

Select all of the RATIONAL terms.

• $\sqrt{25}$

• $12\ \frac{1}{2}$

• $\sqrt{6}$

• $\pi$

• $0.\overline{29}$