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

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

A) Multiply all units by -4
B) Add 2x to both sides of the equation
C) Add 4 to both sides of the equation
D) Add y 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) Subtract 2x from both sides
C) Subtract y from both sides
D) The equation is in the final Slope-Intercept form
E) Divide all terms by 2

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) Divide all terms by 2
C) Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1
D) Subtract 2x from both sides
E) Subtract y from both sides

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

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

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

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

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

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

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

A) Add 3 to both sides
B) Add 4 to both sides
C) Subtract 3 from both sides
D) The equation is in the final Slope-Intercept Form
E) Subtract 8 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) The equation is in the final Slope-Intercept Form
B) Subtract 8y from both sides
C) Add 1 to both sides
D) Subtract 1 from both sides
E) Divide all terms by 7

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

A) Subtract 1 from both sides
B) Divide all terms by 7
C) Add 1 to both sides
D) The equation is in the final Slope-Intercept Form
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) Multiply all terms times 7
B) Multiply all terms times 8
C) Divide all terms by -8
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) The equation is in the Standard Form
B) Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1
C) The equation is in the final Slope-Intercept Form
D) Subtract y from both sides
E) Add y to both sides

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

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

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

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

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

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

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

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

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

A) Subtract 2 from both sides
B) The equation is in the final Slope-Intercept Form
C) Add 16 to 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) Subtract 18x from both sides
D) Distributively multiply on both sides of the equal sign
E) The equation is in the final Slope-Intercept Form

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

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

A) Change all the terms signs (negative→positive or positive→negative) which is multiplying all terms times -1
B) Divide all terms by 2
C) The equation is in the final Slope-Intercept Form
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) Subtract 9x from both sides
D) Subtract 4 from both sides
E) Add 4 to 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 4 from both sides
C) Add 4 to both sides
D) Subtract y 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) The equation is in the final Slope-Intercept Form
B) Add 3x to both sides
C) Add 3y to both sides
D) Add 12 to both sides
E) Subtract 12 from both sides

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

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

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

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

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

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

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

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