Simultaneous equations

Where do these two lines intersect?

• No solution
• (-2, 3)
• (3, -2)
• (2, 3)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve
 $y=\frac{1}{2}x+2$ 

 $2y+3x=12$  

•  $x=2,\ y=3$  

•  $x=3,\ y=2$  

•  $x=1.5,\ y=4$  

•  $x=5,\ y=1$  

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

The graphs of $y=2x^2$ and  $y=mx-2$ intersect at the points A and B. The point B has coordinates (2, 8). Find the coordinates of the point A.  

• (5, 4)

• (0.5, 0.5)

• (0,5, 0.25)

• (3, 2)

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

Solve
 $x^2-4y^2=9$  
 $3x+4y=7$  

•  $x=3\frac{2}{5},\ y=-\frac{4}{5}$  

•  $x=\frac{13}{5},\ y=-\frac{1}{5}$  

•  $x=-2,\ y=5$  

•  $x=5,\ y=-2$  

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

Given the grap, the simultaneous equations has no solution.

• True

• False

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Two pencils and a ruler cost 49 cents in total. One pencil and two rulers cost 62 cents in total. Find the cost of each item.

• pencil: 13 cents

  ruler: 23 cents

• pencil: 15 cents

  ruler: 23.50 cents

• pencil: 12 cents

  ruler: 25 cents

• pencil: 18 cents

  ruler: 26 cents

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

If a system of equations has one solution, what does the graph look like?

• intersecting lines

• parallel lines

• skew lines

• same lines

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of colour brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of colour brochures. Which simultaneous equations represent this situation?

• x+y=134

  x+y=120

• 3x+3y=134

  4x+3y=120

• 4x+3y=134

  3x+3y=120

• 7xy=134

  6xy=120

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.CED.A.3

CCSS.HSA.REI.C.6

How many solutions are there for the graphs of y=x^² and y=x+2

• Zero Solution

• Three Solutions

• Two Solutions

• One Solution

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

Select the correct graph for each inequality.

• A
• B
• C
• _D

Tags

CCSS.HSA.REI.D.12