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May 23rd









May 23rd

Solving Systems of Equations

Standard 5.0: Students solve multi - step problems , including word problems, involving linear equations and linear inequalities
in one variable and provide justification for each step.
14.

Confident

Unsure
Solve

5 (2x + 5) = - (9 – x)

 

Show work here…

 

 

LEVEL
(teacher
use only)

 
Correction/Reflection
(do not fill in on test day)


 

15.

Confident

Unsure
Last week, Glenda earned $84. She
earned $14 mowing lawns . She
earned the rest of her money
babysitting for $7 per hour. Use the
equation below to find the number of
hours
(h) Glenda spent babysitting.
84 = 7h + 14


a) 10 hours

b) 14 hours

c) 63 hours

d) 70 hours
Show work here…

 

 

LEVEL
(teacher
use only)

 

Correction/Reflection
(do not fill in on test day)


 

       
16.

Confident

Unsure
Phillip, Rosie, and Angela are all
friends. Angela is three years less
than Rosie and Phillip is seven years
older than three times Rosie’s age.
Their combined age is 74 years, how
old is Phillip?


a) 14 years old

b) 21 years old

c) 70 years old

d) 49 years old
Show work here…

 

 

LEVEL
(teacher
use only)

 

Correction/Reflection
(do not fill in on test day)


 

       
17.

Confident

Unsure
Solve: 6(x – 4) = 5x + 6
Step 1: 6x – 24 = 5x + 6
Step 2: - 1x – 24 = 6
Step 3: -1x = 30
Step 4: x = - 30
Which is the first INCORRECT step
in the solution shown above?


a) Step 1

b) Step 2

c) Step 3

d) Step 4
Show work here…



 

LEVEL
(teacher
use only)

 

Correction/Reflection
(do not fill in on test day)


 

       
Standard 6.0: Students graph a linear equation and compute the x- and y-intercepts.
18.

Confident

Unsure
What are the x- and y- intercepts of the
line
defined by 2x – 3y = 12

a) x-int = 6, y-int = -4

b) x-int = -4, y-int = 6

c) x-int = 2, y-int = -3

d) x-int = 6, y-int = 4
Show your work here…

 

 

LEVEL
(teacher
use only)

 

Correction/Reflection
(do not fill in on test day


 

       
19.

Confident

Unsure
8.) Which is the graph of ?

Explain your
choice here…


 

LEVEL
(teacher
use only)

 

Correction/Reflection
(do not fill in on test day)


 

       
Standard 7.0: Students verify that a point lies on a line, given an equation of the line. Students are able to derive linear
equations by using the point- slope formula .
20.

Confident

Unsure
Which ordered pair lies on the
line defined by ?

Show your work here…

 

 

LEVEL
(teacher
use only)

 

Correction/Reflection
(do not fill in on test day)


 

       
21.

Confident

Unsure
What is the equation of the line
that has a slope of ½ and passes
through the point (4, -10)?

a) y = ½ x – 12

b) y = ½ x + 12

c) y = ½ x – 10

d) y = -10 (x + 4)
Show your work here…

 

 

LEVEL
(teacher
use only)

 

Correction/Reflection
(do not fill in on test day)


 

       
22.

Confident

Unsure
What is the equation of the line
that passes through the points
(4, 9) and (2, 5)?

Show your work here…

 

 

LEVEL
(teacher
use only)

 

Correction/Reflection
(do not fill in on test day)


 

       

Standard 9.0 Continuation: Deep thoughts…

Be low are three different systems of equations, after solving each of them, explain the process that you went through to solve each
problem and interpret what the graphical representation of the system would look like and why . Be specific and include details and
justification for your reasoning.

What method did you use to solve it?
Why did you choose these methods?
  What will the graphs of these solutions look like?
What does this mean about solutions to systems of equations?

System #1 System #2 System #3
x = 2y + 1
2x + y = 12
2x – y = 6
-4x + 2y = -12
x + y = -10
-x + -y = -5
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