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Linear Equations Review

Total questions: 26

Worksheet time: 7hrs 30mins

Name
Class
Date
1.
What are the x- and y -intercepts on this graph?
a)
(0,5), (0,5)
b)
(5,0), (5,0)
c)
(5,0), (0,5)
d)
(0,0), (5,0)
2.
Given the list of ordered pairs, what is the x-intercept?
(8,10),  (3, -4),  (0, 8), (4, -3), (9, 0)
a)
(8,10)
b)
8, 3, 0, 4, 9
c)
(0,8)
d)
(9,0)
3.

Which equation is written in slope intercept form?

a)

y=mx+by=mx+b  

b)

yy1=m(xx1)y-y_1=m\left(x-x_1\right)  

c)

Ax+By=CAx+By=C  

d)

a2+b2=c2a^2+b^2=c^2  

4.

How do you find slope when given two points?

a)

you have to guess

b)

Δy (change in y)Δx (change in x)\frac{\Delta y\ \left(change\ in\ y\right)}{\Delta x\ \left(change\ in\ x\right)}  

c)

Δx (change in x)Δy (change in y)\frac{\Delta x\ \left(change\ in\ x\right)}{\Delta y\ \left(change\ in\ y\right)}  

5.
What is the y-intercept of the equation?
3x + 6y = 24
a)
x = 3 or (3, 0)
b)
y = 6 or (0, 6)
c)
x = 8 or (8, 0)
d)
y = 4 or (0, 4)
6.
What is the x-intercept of the equation?
3x + 6y = 24
a)
x = 8 or (8, 0)
b)
x = 3 or (3, 0)
c)
y = 6 or (0, 6)
d)
y = 4 or (0, 4)
7.

Which of the following graphs has a POSITIVE SLOPE?

a)
b)
c)
d)
8.

Which of the following graphs has a NEGATIVE SLOPE?

a)
b)
c)
d)
9.

Which of the following equations has a NEGATIVE SLOPE?

a)

y=34x5y=\frac{3}{4}x-5

b)

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

c)

y=13y=-13

d)

x=10x=10

10.

Which of the following equations has a POSITIVE SLOPE?

a)

y=34x5y=\frac{3}{4}x-5

b)

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

c)

y=13y=-13

d)

x=10x=10

11.
Write the equation of the line.
a)
y=-3x-4
b)
y=-4x-3
c)
y=(-3/4)x-3
d)
y=(-4/3)x-3
12.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
13.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
14.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
15.

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

16.

What is the equation in Point-Slope form

of the line that goes through

the point (6,1) and has a slope of -3?

a)

y - 6 = -3(x - 1)

b)

y + 6 = -3(x + 1)

c)

y - 1 = -3(x - 6)

d)

y + 1 = -3(x + 3)

17.

The line with the equation

y + 1 = -3(x - 5),

contains the point (5, -1)

and has a slope of _______.

a)

-1

b)

1

c)

-3

d)

5

18.

What is the point slope form equation of the graph given(use blue point in equation)

a)

y + 2 = 32\frac{3}{2} (x + 2)

b)

y - 2 = 32\frac{3}{2} (x - 2)

c)

y + 2 = - 32\frac{3}{2} (x + 2)

d)

y - 2= - 32\frac{3}{2} (x - 2)

19.
What type of association does this graph have?
a)
positive 
b)
negative
c)
none
d)
all of the above
20.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
21.
What type of association does this scatter plot represent?
a)
positive linear association
b)
negative linear association
c)
no association
d)
nonlinear association
22.
Slopes of parallel lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
23.
Slopes of perpendicular lines are...
a)
opposite reciprocals.
b)
opposites.
c)
the same.
d)
always 7.
24.
y = 3x +2
y = 3x - 3
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
d)
The same line
25.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
26.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5