Alg. 2: Semester 1 Practice Final Exam

Determine the solution to the following inequality:
 $7<2x+3\le9$  

•  $2<x\le3$  

•  $5\le x<6$  

•  $2<x\le6$  

•  $3\le x<2$  

Determine which compound inequality is shown by the following graph:

• $-5<x\le2$

• $x>-5\ \ or\ x\le2$

• $-5\le x\le2$

• $-5\le x<2$

Determine which inequality represents the solution to the following: 

 $7x+2\le-x+18$  

•  $x\le2$  

•  $x\le-2$  

•  $x\ge3$  

•  $x\le3$  

Tags

CCSS.7.EE.B.4B

Solve!   $\left|2x+3\right|+8=23$  

•  $x=-9\ \ \&\ x=6$  

•  $x=6$  

•  $x=9\ \&\ x=6$  

•  $x=-9\ \&\ x=-6$  

Solve!  $2\left(x-4\right)+3\left(x+5\right)=2x-2$  

• -3

• 2

• 5

• -4

Tags

CCSS.8.EE.C.7B

Solve for y! $3x-2y=16$  

•  $y=\frac{3}{2}x-8$  

•  $y=-\frac{3}{2}x-8$  

•  $y=\frac{3}{2}x+8$  

•  $y=-3x+8$  

Tags

CCSS.6.EE.C.9

Solve!   $\left|3n-6\right|+8\le17$  

•  $-1\le n\le5$  

•  $n\le-1\ \ or\ \ n\ge5$  

•  $n\le5$  

•  $-\frac{19}{3}\le n\le5$  

Line 1 passes through the points (1, 4) and (-2, 5). Line 2 passes through the points (4, 3) and (5, 6). After calculating the slopes, what can be said is true about lines 1 and 2?

• They are perpendicular

• They are parallel

• They both have negative slopes

• They both have positive slopes

Tags

CCSS.8.EE.B.6

What is the vertex?

 $y=3\left|x-2\right|+4$  

• (2, 4)

• (-6, 0)

• (-2, 4)

• (-2, -4)

Tags

CCSS.HSF-IF.C.7D

Which set of points would produce a line with the slope of $-\frac{3}{2}$  ?

• (5, 7) and (7,4)

• (3,2) and (1,-3)

• (-3,0) and (0,-2)

• (5,2) and (8,0)

Tags

CCSS.8.EE.B.6