Unit 1B Quiz 1 Review

Determine the length of AB.

If C is the midpoint of AB, what is the coordinate of C?

Point B lies on a number line between points A and C. The coordinate of A is -2 and the coordinate of C is 14. The distance between A and B is $\frac{1}{4}$ 

of AC.  What is the coordinate of B?

Points A, B, and C are collinear. Point B is the midpoint of $\overline{AC}$  .   $AB=3x-4$  and  $AC=64$  .  Find the value of x.

Determine the correct set up for this problem:

Points A, B, and C are collinear. Point B is between A and C.  $AC=3x+3$ , $AB=2x-1$ , and $BC=11$ .

•  $3x+3+2x-1=11$  

•  $2x-1+11=3x+3$  

•  $3x+3+11=2x-1$  

•  $3x+3=2x-1$  

Points A, B, and C are collinear. Point B is between A and C.  $AC=3x+3$ , $AB=2x-1$ , and $BC=11$ . Find the value of x.

Points D, E, and F are collinear. Point E is between D and F. $DF=5x-6$  ,  $DE=x+3$  , and  $EF=3x-4$  .  Find the value of x.

 Determine the correct set up for the problem:

Points J, K, and L are collinear. Point K is the midpoint of $\overline{JL}$  .  If  $KL=x+6$ and  $JK=5x-22$ .

•  $x+6+5x-22=180$  

•  $x+6+5x-22$  

•  $x+6=5x-22$  

•  $x+6+5x-22=90$  

Points J, K, and L are collinear. Point K is the midpoint of $\overline{JL}$  .  If  $KL=x+6$ and  $JK=5x-22$  , find the value of x.

If E is the midpoint of DF, and $DF=24$ , what is the length of EF?

• 6

• 12

• 24

• 48