Inequalities & Simultaneous Equations

When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥ 
• <, >

Tags

CCSS.6.EE.B.8

Solve: -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -2 ≤ x ≤ 6

• -3 ≤ x ≤ 3

• 1 ≤ x ≤ 3

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

What inequality is graphed?

• x > 2 and x < 4

• 2 ≤ x ≤ 4

• x > 2 or x < 4

• x ≥ 2 or x ≤ 4

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.12

What inequality is graphed? 

• x > 2 and x ≤ -3
• x > 2 and x < -3
• x > 2 or x ≤ -3
• x > 2 or x < -3

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

Which of the following would result in NO SOLUTION?

• x < 1 or x > 5

• x > 1 or x < 5

• x < 1 and x > 5

• x > 1 and x < 5

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Solve:

3x - y = 11

x + y = 5

• x = 4

  y = 1

• x = 4

  y = -1

• x = -4

  y = 1

• x = -4

  y = -1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve for (x,y)

-2x + 6y = 16

-4x - 3y = 2

• (2,2)

• (-2, -2)

• (-2,2)

• (2,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve for (x,y)

5x + y = 9

10x − 7y = −18

• (-4,-1)

• (-1,-4)

• (4,1)

• (1, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Some horses and chickens are in a pasture. If there are a total of 28 animals and 80 legs, how many chickens and how many horses are there? (Hint: Write simultaneous equations and then solve)

• 10 horses, 18 chickens

• 16 horses, 12 chickens

• 12 horses, 16 chickens

• 18 horses, 10 chickens

Tags

CCSS.8.EE.C.8C

A theatre can hold 200 people. If the price of admission is £5 for an adult and £2 per child, find the number of each if the theatre is full and the profit is £577.

• 59 adults and 141 children

• 40 adults and 160 children

• 60 adults and 140 children

• 41 adults and 159 children

Tags

CCSS.8.EE.C.8C