Form Shift Mastery Worksheet
Form Shift Mastery
Standard Form \(Ax + By = C\) \(\longrightarrow\) Slope-Intercept Form \(y = mx + b\)
Name: Date:
Period: Score: / 30
1
Isolate the \(y\)-term Add/subtract \(Ax\) on both sides
2
Divide by \(B\) Divide every term by \(B\)
3
Identify Parameters Slope \(m\), \(y\)-intercept \(b\)
Level 1 Positive Integer Coefficients & Unit Values
Questions 1–10
- \(2x + y = 6\) #1
Eq: y =
m = b =
- \(x + y = 9\) #2
Eq: y =
m = b =
- \(4x + y = -3\) #3
Eq: y =
m = b =
- \(3x + y = 12\) #4
Eq: y =
m = b =
- \(6x + 2y = 10\) #5
Eq: y =
m = b =
- \(8x + 4y = -16\) #6
Eq: y =
m = b =
- \(2x + 4y = 8\) #7
Eq: y =
m = b =
- \(3x + 6y = 18\) #8
Eq: y =
m = b =
- \(5x + 3y = 15\) #9
Eq: y =
m = b =
- \(4x + 5y = 20\) #10
Eq: y =
m = b =
Form Shift Mastery • Page 1 of 3 Tip: Remember to divide every term by the coefficient of \(y\).
2
Form Shift Mastery — Continued
Questions 11–20
Level 2 Negative Coefficients & Sign Inversion (Watch the signs!)
Dividing by \(-B\) flips all signs
- \(x - y = 7\) #11
Eq: y =
m = b =
- \(3x - y = 5\) #12
Eq: y =
m = b =
- \(2x - y = -6\) #13
Eq: y =
m = b =
- \(4x - 2y = 12\) #14
Eq: y =
m = b =
- \(6x - 3y = -9\) #15
Eq: y =
m = b =
- \(-2x + y = 8\) #16
Eq: y =
m = b =
- \(-5x + y = -4\) #17
Eq: y =
m = b =
- \(5x - 2y = 10\) #18
Eq: y =
m = b =
- \(3x - 4y = 12\) #19
Eq: y =
m = b =
- \(2x - 5y = 15\) #20
Eq: y =
m = b =
Form Shift Mastery • Page 2 of 3 Simplify all fractions to simplest form!
3
Form Shift Mastery — Advanced Rational Numbers
Questions 21–30
Level 3 Negative Fractions, Fractional Intercepts & Mixed Signs
Keep improper fractions reduced
- \(-3x - 2y = 8\) #21
Eq: y =
m = b =
- \(-4x - 6y = 18\) #22
Eq: y =
m = b =
- \(7x + 3y = 15\) #23
Eq: y =
m = b =
- \(8x - 5y = 20\) #24
Eq: y =
m = b =
- \(5x + 3y = 7\) #25
Eq: y =
m = b =
- \(-3x + 5y = -14\) #26
Eq: y =
m = b =
- \(7x - 4y = -10\) #27
Eq: y =
m = b =
- \(-9x - 4y = 15\) #28
Eq: y =
m = b =
- \(6x + 8y = -11\) #29
Eq: y =
m = b =
- \(-5x - 7y = -22\) #30
Eq: y =
m = b =
Form Shift Mastery • Page 3 of 3 Set Complete! Review work carefully.