6th LA1 Test Solving Systems of Equations

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (2, 0)

Tags

CCSS.8.EE.C.8B

Check the correct steps for solving the system using substitution

y = 7x + 7

2y + 2x = -18

• $2\left(7x+7\right)+2x=-18$

• $14x+14+2x=-18$

• $16x=-4$

• Answer is $\left(-2,-5\right)$

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Tags

CCSS.8.EE.C.8A

Check All that are True

−4x − 2y = −12

4x + 8y = −24

• The x's cancel now

• Multiply the top equation by 4 will eliminate the y's

• Dividing the second equation by 2 will eliminate the y's

• Solving the second equation for x would NOT create fractions and could be used for substitution.

What variable do you eliminate and how?

7x + 2y = 24

8x + 2y = 30

• Eliminate the y's by multiplying one of the equations by a -1

• Eliminate the x's by multiplying one of the equations by -1

• The y's cancel NOW

Check All that are TRUE

x+ 3y = 9

2x+ y = −2

• Solve the first equation for x would be good for substitution

• Solve the second equation for y would be good for substitution

• Multiply the first equation by 2 would eliminate the x's

• Multiply the second equation by -3 would eliminate the y's

How many solutions will this system have? 

• No solution
• One Solution
• I Don't Know
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

What is the solution?

• One Solution
• No solution
• Infinitely Many Solutions

Tags

CCSS.8.EE.C.8A

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines

Tags

CCSS.8.EE.C.8A

Solve the system of equations by graphing.
y = -4x + 5
y =  3x - 16

• (-3, -25)
• (3,-7)
• (11, 17)
• (21, 47)

Tags

CCSS.8.EE.C.8B