ZZ Slope-Intercept Form Equations

1. Which of the following is not one of the rules of listing a linear equation in Slope-Intercept Form?

A) The equation must be written in French
B) The y term must always be positive
C) Must be in y=mx + b form. (b is a real integers and m is the slope)
D) The y term always is listed by itself on the left side of the equation
E) The y term never has an integer before it

2. What is the first step to convert this to a Slope-Intercept Form Equation:
-4 + y + 2x = 0

A) Add y to both sides of the equation
B) Add 2x to both sides of the equation
C) Multiply all units by -4
D) Add 4 to both sides of the equation
E) Divide all units by 2

3. What is the next step to convert this to a Slope-Intercept Form Equation:
-4 + y + 2x = 0 → y + 2x = 4

A) The x term needs to be written first
B) Divide all terms by 2
C) Subtract 2x from both sides
D) The equation is in the final Slope-Intercept form
E) Subtract y from both sides

4. What is the next step to convert this to a Slope-Intercept Form Equation:
y + 2x = 4 → y = -2x + 4

A) The equation is in the final Slope-Intercept Form
B) Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1
C) Subtract y from both sides
D) Subtract 2x from both sides
E) Divide all terms by 2

5. What is the first step to convert this to a Slope-Intercept Form Equation:
3y = 2 - x

A) Subtract 3y from both sides
B) Divide all terms by 3
C) The equation is in the final Slope-Intercept Form
D) Add x to both sides
E) Divide all terms by 2

6. What is the next step to convert this to a Slope-Intercept Form Equation:
3y = 2 - x → y = (2/3) - (1/3)x

A) Add x to both sides
B) The x term needs to be written first on the right side of the equation
C) Divide all terms by 3
D) Subtract 3y from both sides
E) The equation is in the final Slope-Intercept Form

7. What is the next step to convert this to a Slope-Intercept Form Equation:
y = (2/3) - (1/3)x → y = (1/3)x - (2/3)

A) The x term needs to be written first
B) The equation is in the final Slope-Intercept Form
C) Divide all terms by 3
D) Subtract 3y from both sides
E) Add x to both sides

8. What is the first step to convert this to a Slope-Intercept Form Equation:
(8/3)x + y = 1

A) The equation is in the final Slope-Intercept Form
B) Subtract y from both sides
C) Subtract 1 from both sides
D) Multiply all terms times 8
E) Subtract (8/3)x from both sides

9. What is the next step to convert this to a Slope-Intercept Form Equation:
(8/3)x + y = 1 → y = (-8/3)x + 1

A) Subtract 3y from both sides
B) The equation is in the final Slope-Intercept Form
C) Divide all terms by 3
D) Subtract 1 from both sides
E) Subtract y from both sides

10. What is the first step to convert this to a Slope-Intercept Form Equation:
7x + 3 = 8y + 4

A) Add 4 to both sides
B) The equation is in the final Slope-Intercept Form
C) Subtract 8 from both sides
D) Add 3 to both sides
E) Subtract 3 from both sides

11. What is the next step to convert this to a Slope-Intercept Form Equation:
7x + 3 = 8y + 4 → 7x = 8y + 1

A) Subtract 1 from both sides
B) Subtract 8y from both sides
C) Divide all terms by 7
D) Add 1 to both sides
E) The equation is in the final Slope-Intercept Form

12. What is the next step to convert this to a Slope-Intercept Form Equation:
7x = 8y + 1 → 7x - 8y = 1

A) The equation is in the final Slope-Intercept Form
B) Add 1 to both sides
C) Subtract 1 from both sides
D) Divide all terms by 7
E) Subtract 7x from both sides

13. What is the next step to convert this to a Slope-Intercept Form Equation:
7x - 8y = 1 → -8y = -7x + 1

A) Divide all terms by -8
B) Multiply all terms times 8
C) Multiply all terms times 7
D) The equation is in the final Slope-Intercept Form
E) Subtract 8y from both sides

14. What is the next step to convert this to a Slope-Intercept Form Equation:
-8y = -7x + 1 → y = (7/8)x - (1/8)

A) Add y to both sides
B) Subtract y from both sides
C) The equation is in the final Slope-Intercept Form
D) Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1
E) The equation is in the Standard Form

15. What is the first step to convert this to a Slope-Intercept Form Equation:
y = (-4/5)x

A) Divide all terms by 5
B) Divide all terms by 4
C) The equation is in the final Slope-Intercept Form
D) Subtract y from both sides
E) Multiply all terms times 5

16. What is the first step to convert this to a Slope-Intercept Form Equation:
y = (-5/9)x + (1/3)

A) Subtract (1/3) from both sides
B) The equation is in the final Slope-Intercept Form
C) Multiply all terms times 9
D) Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1
E) Multiply all terms by 3

17. What is the first step to convert this to a Slope-Intercept Form Equation:
6(y - 3) = 3(-4x + 10)

A) Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1
B) Subtract 6y from both sides
C) Distributively multiply on both sides of the equal sign
D) The equation is in the final Slope-Intercept Form
E) Divide all terms by 10

18. What is the next step to convert this to a Slope-Intercept Form Equation:
6(y-3)=3(-4x+10) → 6y-18=-12x+30

A) Divide all terms by 18
B) Subtract 12x from both sides
C) Subtract 6y from both sides
D) Add 18 to both sides
E) The y term needs to be written first

19. What is the next step to convert this to a Slope-Intercept Form Equation:
6y-18=-12x+30 → 6y=-12x+48

A) Subtract 3 from both sides
B) The equation is in the final Slope-Intercept Form
C) Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1
D) Subtract 6 from both sides
E) Divide all terms by 6

20. What is the next step to convert this to a Slope-Intercept Form Equation:
6y=-12x+48 → y=-2x+16

A) Add 16 to both sides
B) The equation is in the final Slope-Intercept Form
C) Subtract 2 from both sides
D) Subtract 16 from both sides
E) Add 2 to both sides

21. What is the first step to convert this to a Slope-Intercept Form Equation:
2(y-1) = -2(9x + 5)

A) Add 2y to both sides
B) Subtract y from both sides
C) The equation is in the final Slope-Intercept Form
D) Distributively multiply on both sides of the equal sign
E) Subtract 18x from both sides

22. What is the next step to convert this to a Slope-Intercept Form Equation:
2(y-1) = -2(9x + 5) → 2y-2=-18x-10

A) The equation is in the final Slope-Intercept Form
B) Subtract 18x from both sides
C) Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1
D) Subtract 2y from both sides
E) Add 2 to both sides

23. What is the next step to convert this to a Slope-Intercept Form Equation:
2y-2=-18x-10 → 2y=-18x-8

A) Divide all terms by 2
B) The equation is in the final Slope-Intercept Form
C) Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1
D) Subtract 8 to both sides
E) Add 8 to both sides

24. What is the next step to convert this to a Slope-Intercept Form Equation:
2y=-18x-8 → y=-9x-4

A) Add 9x to both sides
B) The equation is in the final Slope-Intercept Form
C) Add 4 to both sides
D) Subtract 4 from both sides
E) Subtract 9x from both sides

25. What is the first step to convert this to a Slope-Intercept Form Equation:
3(y+4) = 3(x-4)

A) Distributively multiply on both sides of the equal sign
B) Subtract y from both sides
C) Add 4 to both sides
D) Subtract 4 from both sides
E) Subtract x from both sides

26. What is the next step to convert this to a Slope-Intercept Form Equation:
3(y+4) = 3(x-4) → 3y+12=3x-12

A) Add 12 to both sides
B) Add 3y to both sides
C) Subtract 12 from both sides
D) Add 3x to both sides
E) The equation is in the final Slope-Intercept Form

27. What is the next step to convert this to a Slope-Intercept Form Equation:
3y+12=3x-12 → 3y=3x-48

A) Add 48 to both sides
B) The equation is in the final Slope-Intercept Form
C) Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1
D) Divide all terms by 3
E) Subtract 48 from both sides

28. What is the next step to convert this to a Slope-Intercept Form Equation:
3y=3x-48 → y=x-18

A) Add y to both sides
B) Add 18 to both sides
C) Subtract y from both sides
D) Subtract 18 from both sides
E) The equation is in the final Slope-Intercept Form

29. What is the first step to convert this to a Slope-Intercept Form Equation:
(y+10)=-7(x-1)

A) Add 7x to both sides
B) The equation is in the final Slope-Intercept Form
C) Add 10 to both sides
D) Distributively multiply on both sides of the equal sign
E) Subtract 7x from both sides

30. What is the next step to convert this to a Slope-Intercept Form Equation:
(y+10)=-7(x-1) → y+10=-7x+7

A) The y term needs to be written first
B) Subtract 7 from both sides
C) Add 7 to both sides
D) The equation is in the final Slope-Intercept Form
E) Subtract 10 from both sides

31. What is the next step to convert this to a Slope-Intercept Form Equation:
y+10=-7x+7 → y=-7x-3

A) Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1
B) Add 7x to both sides
C) The equation is in the final Slope-Intercept Form
D) Divide by 7
E) Subtract 3 from both sides

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