Linear Inequalities

Which point below is NOT part of the solution set?

• (0, 0)
• (-10, -10)
• (-1, 5)
• (5, 20)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Are the points on the line part of the solution set or not?

• Yes, they are part of the solution set
• No, they are NOT part of the solution set

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

How can I tell if the graph of an inequality will have a solid line?

• It has just an equal sign.
• The symbol is greater than.
• The symbol has "or equal to."
• You just guess.

Tags

CCSS.HSA.REI.D.12

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

• x + 2y < 240
• x + 2y > 240
• x + 2y ≤ 240
• x + 2y ≥ 240

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

Which point is not a solution?

• (1, 3)
• (-1, 2)
• (3, -2)
• (5, 0)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

The members of a new band want to spend no more than $75 for at least 60 fliers to advertise their upcoming concert.  The cost color fliers is $1.50 each, the cost of black and white fliers is $0.75 each. Which of the following combinations is a reasonable solution?

• 26 color, 30 black and white
• 30 color, 35 black and white
• 60 color
• 30 color, 50 black and white

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.12

Which of the following equations match the given graph?

• x ≥ -1
• x ≤ -1
• x > -1
• x < -1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

Which of the following equations match the given graph?

• $y≤-\frac{3}{4}x+3$

• $y≥-\frac{3}{4}x+3$

• $y<-\frac{3}{4}x+3$

• $y>-\frac{3}{4}x+3$

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.12

Consider the inequality $y<2x+3$ . Which is true? 

• The line would be solid with shading above.

• The line would be dashed with shading above.

• The line would be solid with shading below.

• None of these.