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h-5-4-Equations-Standard Form to S-I Form (30)

Total questions: 30

Worksheet time: 5hrs 0mins

Name
Class
Date
1.

Choose the equation written in slope-intercept form.

a)

Ax+By=CAx+By=C

b)

y=mx+by=mx+b

c)

yy1=m(xx1)y-y_1=m\left(x-x_1\right)

d)

y=Ax+Byy=Ax+By

2.

Choose the equation written in Standard Form.

a)

y=mx+by=mx+b

b)

Ax+By=CAx+By=C

c)

yy1=m(xx1)y-y_1=m\left(x-x_1\right)

d)

y=Ax+Byy=Ax+By

3.

Choose the equation written in Standard Form.

a)

y=12x+2y=\frac{1}{2}x+2

b)

y3=5(x+2)y-3=-5\left(x+2\right)

c)

7x+2y=9-7x+2y=9

d)

3x+2=y3x+2=y

4.

Choose the equation written in standard form.

a)

y=3x+5y=3x+5

b)

3x+16=5y3x+16=5y

c)

23x+913y=21\frac{2}{3}x+\frac{9}{13}y=21

d)

5x+7y=125x+7y=-12

5.

Given (Points):  (3, 8) and (2, 10)\left(3,\ 8\right)\ and\ \left(2,\ 10\right)  


Find the slope of the line that passes through the given points.



(a)  

6.

Given:  x3y=6x-3y=6  


Rewrite the equation in Slope-Intercept Form (S-I).

a)

y=x2y=-x-2

b)

y=x+2y=x+2

c)

y=13x2y=\frac{1}{3}x-2

d)

y=13x+2y=-\frac{1}{3}x+2

7.

Given:  4y3=6x+64y-3=6x+6  

Rewrite the given equation in Standard Form.

a)

 6x4y=96x-4y=-9 

b)

 6x4y=36x-4y=3 

c)

 4y6x=94y-6x=-9 

d)

 4x+4y=34x+4y=3 

8.

Given:  y=14x+4y=\frac{1}{4}x+4  


Transform the given equation into Standard Form.

a)

 x+4y=8x+4y=8 

b)

 x4y=16x-4y=-16 

c)

 y=x+16y=x+16 

d)

 4y+x=84y+x=8 

9.

Given:  y=58x+7y=-\frac{5}{8}x+7  


Rewrite the given equation in Standard Form.



(a)  

10.

Given:  2x+4y=122x+4y=12  


Choose the graph that is represented by the given equation written in standard form.


2x + 4y = 12

a)
b)
c)
d)
11.

Write the standard form of the equation of the line shown in the graph.

a)

4x+4y=14x+4y=-1

b)

4x+4y=14x+4y=1

c)

x4+y4=1\frac{x}{4}+\frac{y}{4}=1

d)

x+y=4x+y=-4

12.

Write the standard form of the equation of the line shown in the graph.

a)

2x+y=32x+y=-3

b)

3x+y=23x+y=-2

c)

2x+y=3-2x+y=-3

d)

2xy=32x-y=3

13.

Write the slope of the line shown in the graph.

a)

32\frac{3}{2}

b)

23-\frac{2}{3}

c)

32-\frac{3}{2}

d)

23\frac{2}{3}

14.

Given:  2x5y=352x-5y=35  


Find the y-intercept of the given equation.



(a)  

15.

Given:  y=3x+2y=-3x+2  

Choose the slope and y-intercept from the answers below.

a)

 3-3  

b)

 13\frac{1}{3} 

c)

 2-2 

d)

 33 

e)

 22  

16.

Given:  2x3y=122x-3y=-12  

Choose the correct slope and y-intercept from the answers below.

a)

 32\frac{3}{2}  

b)

 44  

c)

 23-\frac{2}{3}  

d)

 12-12  

e)

 23\frac{2}{3}  

17.

Given:  3xy=93x-y=9  


Choose the correct slope and y-intercept from the answers below.

a)

 1-1  

b)

 33  

c)

 99  

d)

 3-3  

e)

 9-9  

18.

Given:   6xy=96x-y=9  

Write the slope of the given equation.



(a)  

19.

Given:  3x+y=1-3x+y=1  


Write the given equation in Slope-Intercept Form.

a)

 y=3x+1y=-3x+1 

b)

 y=3x+1y=3x+1  

c)

 y=13x+1y=\frac{1}{3}x+1 

d)

 y=13x1y=-\frac{1}{3}x-1 

20.

Given:  4x+y=124x+y=12  

Write the given equation in Slope-Intercept Form.



(a)  

21.

Given:  x+y=9x+y=-9  

Write the given equation in Slope-Intercept Form.



(a)  

22.

Given:  4x+4y=164x+4y=16  

Write the given equation in Slope-Intercept Form.



(a)  

23.

Given two points:  (0,2) and (3,4)\left(0,-2\right)\ and\ \left(3,-4\right)  

Find the slope of the line that passes through the given two points.

a)

 23\frac{2}{3} 

b)

 23-\frac{2}{3} 

c)

 33 

d)

 2-2 

e)

 32\frac{3}{2}  

24.

Given:

  slope=4 and yintercept=2slope=4\ and\ y-intercept=2  

Write the equation of a line using the given slope and y-intercept.



(a)  

25.

Given:  (1,4) and (2,1)\left(-1,-4\right)\ and\ \left(-2,-1\right)  

Write the equation of the line that passes through the given points.



(a)  

26.

Evaluate the expression using Order of Operations:

 2(3+8÷4)2-2\cdot\left(3+8\div4\right)^2  



(a)  

27.

Evaluate the expression using Order of Operations:

 8+(153)÷4-8+\left(15-3\right)\div4  



(a)  

28.

Solve the equation for y:

 11+3(y+5)=7-11+3\left(y+5\right)=7 





(a)  

29.

Given Sequence (Geometric):  2, 10,50, 250, ...-2,\ 10,-50,\ 250,\ ...  

Find:   a11a_{11} 



(a)  

30.

Given Sequence (Arithmetic):
 15,35,55,75, ...-15,-35,-55,-75,\ ...  

Find:   a26a_{26} 



(a)