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2-1 Slope-Intercept Form and Post Topic 1 Review

Total questions: 85

Worksheet time: 5hrs 36mins

Name
Class
Date
1.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
2.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
3.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
4.

This line has a __________ slope.

a)

Negative

b)

Positive

c)

Undefined

d)

No Slope

5.

Which value is the y-intercept in the equation:

y = 2x - 2

a)

2

b)

-2

c)

1

6.

Which value is the slope in the equation:

y = 4x + 2

a)

4

b)

2

c)

x

7.
Determine the slope and y-intercept.         y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  4  y-intercept:  (0,3/2)
d)
slope: 1/5   y-intercept:  (0,5) 
8.

What is the slope in the equation y = 2x + 3?

a)
2
b)
3
c)
5
d)
Cannot be Determined 
9.

What is the y-intercept in the equation y = -2x + 5

a)
-2
b)
3
c)
5
d)
Cannot be Determined
10.
Which equation matches the graph?
a)
y = 5
b)
y = -5
c)
x = -5
d)
x = 5
11.

What are the coordinates of point E?

a)

(3,-4)

b)

(-4,3)

c)

(-3,4)

d)

(3,4)

12.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
13.

What are the 3 ways of finding slope?

a)

Sliding down a hill

b)

A graph

c)

Guessing

d)

A table

e)

2 ordered pairs

14.
Write the equation of the line.
a)

y = -1x - 3

b)

y = -3x - 1

c)

y = -1/3x - 1

d)

y = -3x - 3

15.
Write the equation of the line.
a)
y = x + 1
b)

y = x - 1

c)

y = -x + 1

d)

y = -x - 1

16.

Write the equation of the graph

a)

y = 3x + 2

b)

y = -3x + 2

c)

y = 1/3x + 2

d)

y = -1/3x + 2

17.

Write the equation of the graph.

a)

y = 6/5x + 2

b)

y = -6/5x + 2

c)

y = 5/6x + 2

d)

y = -5/6x + 2

18.

Write the equation of a graph.

a)

y = -2/3x - 2

b)

y = 2/3x - 2

c)

y = 3/2x - 2

d)

y = -3/2x - 2

19.

Which is the graph of y = -x + 2?

a)
A
b)
B
c)
C
d)
D
20.
Graph x = 2
a)
A
b)
B
c)
C
d)
D
21.
Graph y = -3
a)
A
b)
B
c)
C
d)
D
22.
Write the equation.
a)
A
b)
B
c)
C
d)
D
23.
Write the equation.
a)
A
b)
B
c)
C
d)
D
24.
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 = -2/3x - 3

c)

y = 2/3x - 3

d)

y = 2/3x + 3

25.

If m = 3 and b = 6, what is the correct slope-intercept equation?

a)

y = -3x + 6

b)

y = 3x - 6

c)

y = 3x + 6

d)

y = 6x + 3

26.

What is the y-intercept in the equation y = -2x + 5

a)
-2
b)
3
c)
5
d)
Cannot be Determined
27.

What is the slope in the equation y = 2x + 3?

a)
2
b)
3
c)
5
d)
Cannot be Determined 
28.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
29.
Find the slope of the line that passes through:
(-4, 7) and (-6, -4)
a)
2/11
b)
13/2
c)
3/10
d)
11/2
30.
Find the slope of the line that passes through:
(-3, -4) and (7, 6)
a)
0
b)
Undefined
c)
-1
d)
1
31.

Find the slope of the line that passes through: (6, 7) and (4, 2)

a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
32.
Find the slope of the line that passes through:
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
33.
Find the slope of the line that passes through:
(-2, 8) and (0, 8)
a)
0
b)
-2
c)
2
d)
1/2
34.
What is the slope of the table?
a)
-2/1
b)
-1/2
c)
2/1
d)
1/2
35.
Find the slope:
a)
2
b)
-2
c)
1/2
d)
-1/2
36.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
37.

Choose all the graphs that have undefined slope:

a)
b)
c)
d)
e)
38.

What is the slope of the graph above. Write as a fraction with no spaces

(a)  

39.

What is the slope of the line on the graph above, write as a fraction with no spaces.

(a)  

40.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
41.

Write the equation in slope-intercept form through (4, -5) and (-4, -1)

a)

y = -1/2x - 3

b)

y = 1/2x - 3

c)

y = -3/2x - 3

d)

y = 3/2x - 3

42.

Write the equation of the line in slope-intercept form through (4, 5) and (2, -1)

a)

y = -7x - 1

b)

y = 3x - 7

c)

y = -x - 7

d)

y = 7x - 1

43.

Write the equation of the line in slope-intercept form through (0, -2) and (1, -3)

a)

y = -3x - 2

b)

y = -2x - 3

c)

y = x - 2

d)

y = -x - 2

44.

Write the equation of the line in slope-intercept form through (-5, 1) and (-1, 5)

a)

y = 4x + 6

b)

y = x + 6

c)

y = -x + 6

d)

y = 6x + 1

45.
Vertical or horizontal?
x = 4
a)
vertical 
b)
horizontal
c)
neither
46.
Vertical or horizontal?
x = -3
a)
vertical 
b)
horizontal
c)
neither
47.
Vertical or horizontal?
y = 10
a)
vertical 
b)
horizontal
c)
neither
48.
Vertical or horizontal?
y = -3
a)
vertical 
b)
horizontal
c)
neither
49.
Vertical or horizontal?
y = 2x + 3
a)
vertical 
b)
horizontal
c)

oblique

50.
Vertical or horizontal?
y = -2x - 5
a)
vertical 
b)

oblique

c)

horizontal

51.
Vertical or horizontal?
Slope of 0
a)
vertical
b)
horizontal
c)
neither
52.
Vertical or horizontal?
No slope
a)
vertical
b)
horizontal
c)
neither
53.
Vertical or horizontal?
Undefined slope
a)
vertical
b)
horizontal
c)

oblique

54.
Vertical or horizontal?
Slope of 3
a)
vertical
b)
horizontal
c)
neither
55.
A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.
a)
c = 2.75b + 4
b)
c = 2.75b
c)
c =  4b- 2.75
d)
c = 2.75b - 4
56.
Zara made an initial deposit to a bank account and then added a fixed amount every week. The table shows the money in her account. Write an equation in slope-intercept form to represent the situation.
a)
y = 30x + 100
b)
y = 20x + 120
c)
y = 120x + 120
d)
y = 50x + 100
57.

Solve for x.

a)

x = 3

b)

x = -3

c)

x = -10

d)

x = 10

58.
Which is the solution of 
-6a ≥ -36
a)
a ≥ 6
b)
-6 ≥ a
c)
a ≤ 6
d)
6 ≤ a
59.
Solve the inequality:
 -4a < 2(a + 12).
 
a)
a > -4
b)
a < 4
c)
a > 12
d)
a < -4
60.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
61.
pV = nRT
solve for R
a)
R= pV/nT
b)
R= p/n + V/T
c)
R= pV - nT
d)
R= (pV-n)/T
62.
Simplify each equation. Tell whether the equation has one solution, no solution, or infinitely many solutions.
3x - 8 = 3(x - 4) + 1
a)
one solution
b)
no solutions
c)
infinitely many solutions
63.
Find the Error
What error did the student make when solving the equation:
1/5x + 6 = 3/5x + 5
1x + 6 = 3x + 5
-2x + 6 = 5
-2x = -1
x = 1/2
a)
The student found an incorrect common denominator
b)
The student did not multiply all terms by the common denominator
c)
The student did not use opposite operations appropriately
d)
The student did not correctly eliminate the variable from one side of the equation
64.
Solve for y:
3x − y = 9 
a)
y = 1/3x − 9
b)
y = -3x +9
c)
y = 3x − 9
d)
y = -3x − 9
65.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

66.
a)
less than
b)
greater than
c)
less than or equal to
d)
greater than or equal to
67.

Which name does not apply to this number?

7/8

a)

rational number

b)

whole number

68.

Choose the number that applies to these sets: Rational, Integer

a)

-27

b)

c)

¼

d)

0.01

69.

Which of these is NOT an integer?

a)

π\pi

b)

4

c)

-4

d)

0

70.
Which of these is NOT a whole number?
a)
0
b)
-8
c)
1
d)
10
71.
Evaluate each expression.
| x + 9 | = -5
a)
-14
b)
-4
c)
{-14, -4}
d)
no solution
72.
∣ 2x + 9 ∣ = 15
a)
x = 3 
b)
x = 3
x = -6
c)
x = 3
x = -12
d)
x = 6
x = -12
73.
Solve |x – 12| - 3 = 11.
a)
-2, -26
b)
-2, 26
c)
3, 25
d)
4, -7
74.
Solve:
a)
{24}
b)
{-6, -8}
c)
{16, 4}
d)
{24, -24}
75.
What is the reason that absolute value is always written as a positive?
a)
Absolute value is talking about numbers so it must be positive.
b)
Absolute value does not always have to be positive.
c)
Absolute value is like a clock it has only positive numbers.
d)
Absolute value is talking about distance, distance is always measured by positive numbers.
76.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
77.
Write an inequality for Graph 3.
a)
x ≤ -2 AND x > 5
b)
x ≤ -2 OR x > 5
c)
x ≥ -2 OR x < 5
d)
-2 ≤ x < 5
78.
a)
A
b)
B
c)
C
d)
D
79.
Solve:  -3 ≤ 2x - 1 ≤ 5
a)
-1 ≤ x ≤ 3
b)
-1 < x < 3
c)
1 < x < 3
d)
1 ≤ x ≤ 3
80.

Why do we graph inequalities?

a)

There is no good reason to graph inequalities.

b)

We need to practice our art skills.

c)

THE GRAPH SHOWS ALL THE SOLUTIONS TO THE INEQUALITY.

81.

What word or phrase best describes the graph of an AND inequality?

a)

separate

b)

between

c)

not between

d)

annoying

82.

What word or phrase best describes the graph of an OR inequality?

a)

inside

b)

between

c)

not between

d)

beautiful

83.
Solve:
 |x + 3| > 8
a)
x > 5 or x < -11
b)
x > 5
c)
all real numbers
d)
no solution
84.
Solve:
3 | 2x + 7| - 7 < -4
a)
x < -3 and x > -5/3
b)
x < -3 and x > -4
c)
all real numbers
d)
no solution
85.
Solve.
-5|x - 4| > -20
a)
x < 8 and x > 0
b)
x > 8 or x < 0
c)
all real numbers
d)
no solution