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Linear equations State Testing

Total questions: 79

Worksheet time: 8hrs 41mins

Name
Class
Date
1.

Match the Graph with its slope.

a)
1.

Negative

b)
2.

Positive

c)
3.

Zero

d)
4.

Undefined

2.

Slope is know as

rise/______

a)

run

b)

fall

c)

none

d)

rise

3.

Find the slope of the line below using rise/run.

a)

23\frac{2}{3}

b)

32\frac{3}{2}

c)

3

d)

13\frac{1}{3}

4.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
5.

What is the formula for finding slope?

a)

y=mx+by=mx+b

b)

Ax+By=CAx+By=C

c)

y2y1x2x1\frac{y_2-y_1}{x_2-x_1}

6.

What is the slope of a line between (-4,14) and (-16,8)?
Reminder! 


Formula:

m=(y2y1)(x2x1)m=\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}  



(a)  

7.

Find the slope. Simplify, if you can.

a)

25\frac{2}{5}

b)

52\frac{5}{2}

c)

2 122\ \frac{1}{2}

d)

2

8.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
9.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
10.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
11.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
12.

What is the y-intercept of the line with the equation
y = 2x + 4y\ =\ -2x\ +\ 4  

a)

2-2  

b)

22  

c)

44  

d)

4-4  

13.

Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 10

a)

y=12x-10

b)

y=10x+12

c)

y=12x+10

d)

x=10x-12

14.

Graph the line with the equation
y = 23x + 4y\ =\ -\frac{2}{3}x\ +\ 4  

a)
b)
c)
d)
15.

Write the equation of the graph in slope-intercept form

a)

y=2x4y=-2x-4

b)

y=2x  4y=2x\ -\ 4

c)

y=12x4y=\frac{1}{2}x-4

d)

y=12x4y=-\frac{1}{2}x-4

16.

Find the slope from the given points:

(3,-1) (4,7)

(a)  

17.

Using the equation y=8x7 y=8x-7\   what is the y intercept?



(a)  

18.
Find the y-intercept of the line that passes through the given point and has the given slope:
 (-2, -1); m= -3
a)
b = -6
b)
b = -7
c)
b = 6
d)
b = 7
19.

Write the equation in slope intercept form of a line that passes through the given pair of points: (0,-1) and (2,1)

a)

y =x + 1

b)

y = x - 1

c)

y = -x + 1

d)

y = -x - 1

20.
Write a equation:  A plumber charges $50 for a house call plus $12 per hour for labor.
a)
y = 50 x + 12
b)
y =12 x + 50
c)
y = 62 x
d)
x = 50 + 12y
21.
Which equation matches the graph?
a)
y= 3x - 5
b)
y= -3x - 5
c)
y= 3x + 5
d)
y= 3x + 5
22.
Which equation matches the graph?
a)
y= 0.5x - 5
b)
y= -0.5x - 5
c)
y= 0.5x + 5
d)
y= -0.5x + 5
23.

What is the equation of a line when m = -7 and b = -8?

a)

y = -7x + 8

b)

y = -7x - 8

c)

y = 7x - 8

d)

y = 7x + 8

24.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
nothing
25.
What is the slope in the equation:  y=4x+3
a)
3
b)
4x
c)
4
d)
x
26.
What is the y-intercept in the following equation:  y=-4x-5
a)
-4
b)
-4x
c)
5
d)
-5
27.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
28.

Find the slope and y-intercept of the following:

3x - y = 9

a)
Slope = 3, y-intercept = -9
b)
Slope = 9, y-intercept = 3
c)
Slope = 3, y-intercept = 9
d)
Slope = -1, y-intercept = 3
29.

Find the slope  and y-intercept of:

2x - 3y = -12

a)
slope = 2/3, y-intercept = -12
b)
slope = -2/3, y-intercept = -3
c)
slope = 2/3, y-intercept = 4
d)
slope = -12, y-intercept = -3
30.

Find the slope and y-intercept:

6x + -2y = 18

a)
slope = -6, y-intercept = -2
b)
slope = -3, y-intercept = 9
c)
slope = 3, y -intercept = -9
d)
slope = 6, y-intercept = 3
31.

What is the slope:

5x + 10y  = 30

a)

m = -1/2

b)

m = 1/2

c)

m = 3

d)

m = 1/3

32.

What is the y-intercept:

7x + y = 10

a)

b = -10

b)

b = 1/7

c)

b = 7

d)

b = 10

33.

Find the slope given:

Remember your formula..

(-3, 8) and (10, 4)

a)
-4/13
b)
-6/5
c)
-13/4
d)
5/6
34.
What is the standard form of a linear equation?
a)
y = mx + b
b)
Ax + By = C
35.

Find the slope and y-intercept of the following:

y = -8x + 13

a)
slope = -8/13, y-intercept = 1
b)
slope = -8, y-intercept = 13
c)
slope = 8/13, y -intercept = -8
d)
slope = 13, y-intercept = -8
36.
Write the equation of the line in slope-intercept form.
a)
y = x + 3
b)
y = 1/2x + 3
c)
y = 3x + 2
d)
y = 3
37.
What is the slope of the line y=8x + 1
a)
m=undefined
b)
m=0
c)
m=8
d)

m = 1

38.
What is the equation of the line?
a)
y = x +1
b)
y = -x + 2
c)
y = 2x + 1
d)
y = x + 2
39.

What is the slope of the line:

8x - 24y = 32

a)
m = 3
b)
m = 8
c)
m = 1/3
d)
m = -24
40.
What is the y - intercept of the following:27x - 9y = 27
a)
y-intercept = -3
b)
y-intercept = 3
c)
y-intercept = 1
d)
y-intercept = 27
41.

Find the slope and y-intercept of the following:

3x - y = 9

a)
Slope = 3, y-intercept = -9
b)
Slope = 9, y-intercept = 3
c)
Slope = 3, y-intercept = 9
d)
Slope = -1, y-intercept = 3
42.

Find the slope  and y-intercept of:

2x - 3y = -12

a)
slope = 2/3, y-intercept = -12
b)
slope = -2/3, y-intercept = -3
c)
slope = 2/3, y-intercept = 4
d)
slope = -12, y-intercept = -3
43.

Find the slope and y-intercept:

6x + -2y = 18

a)
slope = -6, y-intercept = -2
b)
slope = -3, y-intercept = 9
c)
slope = 3, y -intercept = -9
d)
slope = 6, y-intercept = 3
44.

What is the slope:

5x + 10y  = 30

a)

m = -1/2

b)

m = 1/2

c)

m = 3

d)

m = 1/3

45.

What is the y-intercept:

7x + y = 10

a)

b = -10

b)

b = 1/7

c)

b = 7

d)

b = 10

46.

Find the slope given:

Remember your formula..

(-3, 8) and (10, 4)

a)
-4/13
b)
-6/5
c)
-13/4
d)
5/6
47.
What is the standard form of a linear equation?
a)
y = mx + b
b)
Ax + By = C
48.

Find the slope and y-intercept of the following:

y = -8x + 13

a)
slope = -8/13, y-intercept = 1
b)
slope = -8, y-intercept = 13
c)
slope = 8/13, y -intercept = -8
d)
slope = 13, y-intercept = -8
49.
Write the equation of the line in slope-intercept form.
a)
y = x + 3
b)
y = 1/2x + 3
c)
y = 3x + 2
d)
y = 3
50.
What is the slope of the line y=8x + 1
a)
m=undefined
b)
m=0
c)
m=8
d)

m = 1

51.
What is the equation of the line?
a)
y = x +1
b)
y = -x + 2
c)
y = 2x + 1
d)
y = x + 2
52.

What is the slope of the line:

8x - 24y = 32

a)
m = 3
b)
m = 8
c)
m = 1/3
d)
m = -24
53.
What is the y - intercept of the following:27x - 9y = 27
a)
y-intercept = -3
b)
y-intercept = 3
c)
y-intercept = 1
d)
y-intercept = 27
54.

Match the following

a)

y=78x3y=\frac{7}{8}x-3

1.

Standard Form

b)

7x3y=127x-3y=12

2.

Slope Intercept form

c)

y3=7(x+1)y-3=7\left(x+1\right)

3.

Neither

55.

Graph the following linear function: y=2x4y=2x-4

56.

Graph the following Linear Equation: 4x6y=124x-6y=12

57.
Which equation is being represented by this line?
a)
y = -1x + 2
b)
y = 1/2x + 2
c)
y = 3x -4
d)
y = -3x +2
58.

Graph

a)
b)
c)
d)
59.
Which equation matches the graph? 
a)
y = 2x
b)
y = 1/4 x + 2
c)
y = 1x + 4
d)
y = -2x
60.

Graph the following Linear Equation: 2x+8y=242x+8y=-24

61.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=(-1/3)x-1
d)
y= -3x-3
62.

Graph the following Linear Equation: 2x+3y=6-2x+3y=-6

63.

Graph the following Linear Function: y=4x+10y=-4x+10

64.
What is the slope?
a)
-1/3
b)
-3
c)
-4
d)
5
65.
What is the Domain of the set of coordinate? 
(-2,4) (-3,5)(-4,6)
a)
4, 5, 6, 
b)
-2, -3 -4 
c)
-2, -4 
d)
no domain
66.
Determine the domain
a)
All real numbers
b)
(-∞, 6]
c)
[-6, 6]
67.
What is the rate of change for the graph?
a)
m = 1/2
b)
m = 2
c)
m = -1/2
d)
m = -2
68.
Determine the range
a)
All real numbers
b)
(-∞, 2]
c)
[-6, 2]
69.

Drag the correct letter to the box.

70.

Which set of side lengths would form a right triangle?

a)

6, 9, 12

b)

8, 10, 12

c)

9, 40, 41

d)

5, 10, 12

71.

Which equation will help you find the missing side?

a)

42+102=c24^2+10^2=c^2

b)

10242=c210^2-4^2=c^2

c)

c2=100+102c^2=100+10^2

d)

c2+42=102c^2+4^2=10^2

72.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

73.

Rational Numbers are ......

a)

Any number that can be written as a fraction.

b)

Positive Integers

c)

Nonterminating Decimals

d)

Only whole numbers.

74.

Irrational Numbers are ......

a)

Any number that can be written as a fraction.

b)

any number that cannot be expressed as a fraction

c)

terminating decimals

d)

Only whole numbers.

75.

Order the following in ASCENDING order.

a)

169\sqrt[]{169}  

b)

13.0913.09  

c)

13.113.\overline{1}  

d)

131513\frac{1}{5}  

1)
2)
3)
4)
76.

Order the following in ASCENDING order.

a)

2-2  

b)

0.5-0.5  

c)

1.51.5  

d)

7\sqrt[]{7}  

1)
2)
3)
4)
77.

Order the following in DESCENDING order.

a)

23\sqrt[]{23}  

b)

4.34.\overline{3}  

c)

4110\frac{41}{10}  

d)

23%23\%  

1)
2)
3)
4)
78.

Order the following in DESCENDING order.

a)

5.15.1  

b)

163\frac{16}{3}  

c)

272\sqrt[]{7}  

d)

5595\frac{5}{9}  

1)
2)
3)
4)
79.

Which list shows the numbers ordered in ascending order?


75, 78, -79, -31, 16, -40, -53

a)

-31, -40, -53, -79, 16, 75, 78

b)

-79, -53, -40, -31, 16, 75, 78

c)

78, 75, 16, -79, -53, -40, -31