Unit 4 Test - Algebra Systems of equations and inequalities

Which system is represented by the graph?

• $x\ +\ 2y\ \le\ -8$
  

  $y\ >\ 2x$
  

• $y\ \ge\ 2x$
  $x\ +\ 2y\ <\ -8$

• $y\ <\ 2x$
  $x\ +\ 2y\ \ge\ -8$
  

• $y\ \le\ 2x$
  $x\ +\ 2y\ >\ -8$

Tags

CCSS.HSA.REI.D.12

Shirabi spent $208 on a sewing machine to make purses. She spends a total of $10 on thread, fabric, and accessories for each purse and plans to charge $36 for each purse. The equation represents her break-even point, when x represents the number of purses sold.

208 + 10x = 36x

How many purses must she sell in order to break even?

• 5

• 6

• 7

• 8

Which value of m will create a system of parallel lines with no solution?

y = mx -6

8x - 4y = 12

• $-2$

• $-\frac{1}{2}$

• $\frac{1}{2}$

• $2$

Tags

CCSS.8.EE.C.8B

What is the solution to the system of equations?

• $\left(5,0\right)$

• $\left(0,5\right)$

• $\left(0,-5\right)$

• $\left(-5,0\right)$

Tags

CCSS.8.EE.C.8B

What is the solution to this system of linear equations?

x + y = 4

x - y = 6

• $\left(4,6\right)$

• $\left(6,4\right)$

• $\left(5,\ -1\right)$

• $\left(-1,\ 5\right)$

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

 $y\ <\ 5x\ +\ 2$   $y\ \ge\frac{1}{2}x\ +1$  

Which ordered pairs make both inequalities true? 

Select 2

• (-1, 3)

• (0,2)

• (1,2)

• (2, -1)

• (2,2)

 $y\ \ge\ 7x\ -\ 4$  

Which description of the graph of the linear inequality is correct?0

• The graph will be a dashed line with a y-intercept of negative four and a slope of seven. The graph will be shaded below the line.

• The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.

• The graph will be a solid line with a y-intercept of negative seven and a slope of four. The graph will be shaded above the line.

• The graph will be a dashed line with a y-intercept of negative seven and a slope of four. The graph will be shaded above the line.

Tags

CCSS.HSA.REI.D.12

 $y>-3x\ +2$  
The solutions to the inequality are shaded on the graph. Which point is a solution?

• (0,2)

• (2,0)

• (1, -2)

• (-2, 1)