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WorksheetsAlgebra Semester Review
Total questions: 54
Worksheet time: 4hrs 55mins
Name
Class
Date
1.
What is the y-intercept of the line with the equation -14 + y = -7x? (HINT: SOLVE FOR Y FIRST!)
a)
(0, -7)
b)
(0, 7)
c)
(0, 14)
d)
(0, 2)
2.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
3.
Solve for a.
a)
a = pw
b)
a = p/w
c)
a = w/p
d)
a = w + p
4.
Which is NOT a correct point-slope equation for the line in #14?
a)
y = 1/2(x + 2)
b)
y = 1 + 1/2(x - 0)
c)
y = -2 + 1/2(x + 2)
d)
y = 2 + 1/2(x - 2)
5.
Write the recursive formula of 13, 9, 5...
a)
Un=Un-1 - 4
b)
Un=Un-1 +3
c)
Un=Un-1 -5
d)
Un=Un-1 +4
6.
S = 3F - 24 Solve for F
a)
F = (S + 24)/3
b)
F = S/3 + 24
c)
F = 3S + 24
d)
F = 3(S + 24)
7.
Solving the formula P = 2L + 2W for W is not equivalent to which equation?
a)
(P-2L)/2 = W
b)
(P/2) - (2L/2) = W
c)
(1/2)P - L = W
d)
P - (1/2)L = W
8.
Find the slope when given the following points.
(2, 5) (-3, 5)
(2, 5) (-3, 5)
a)
-2
b)
0
c)
Undefined
d)
4/3
9.
Find the slope of the line that passes through (0, -6) and (-2, 8)
a)
m=1/7
b)
m=-1/7
c)
m=-7
d)
m=7
10.
Solve for x
4 – 3(x – 8) = 61
4 – 3(x – 8) = 61
a)
-11
b)
x = -27
c)
x = 27
d)
x = 11
11.
Solve for x
a)
x = 39 1/6
b)
x = 8.95
c)
x = 26
d)
x = 41
12.
Solve for x
a)
x = 37
b)
x = -37
c)
x = -25
d)
x = 25
13.
Solve for x
a)
x = -5
b)
x = 19
c)
x = -19
d)
x = 5
14.
2. Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3
(-2, -1); m= -3
a)
y = -1 - 3(x - 2)
b)
y = -1 - 3(x + 2)
c)
y = 2 + 3(x - 1)
d)
y = 1 - 3(x + 2)
15.
For the equation
y = 3 + 2(x + 4),
the line has a slope of 2 and contains what point?
y = 3 + 2(x + 4),
the line has a slope of 2 and contains what point?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
16.
Write the following equation in slope intercept form:
y + 2 = -3(x - 5)
y + 2 = -3(x - 5)
a)
y = -3x + 17
b)
y = -3x + 13
c)
y = -3x - 13
d)
y = -3x - 17
17.
Identify the slope and the point from the equation:
y = 10 - 5/2 (x + 5)
y = 10 - 5/2 (x + 5)
a)
m=5, pt: (-10, 5)
b)
m= -5/2 pt: (-5, 10)
c)
m= 5/2, pt: (-5, 10)
d)
m= -10, pt: (5, 10)
18.
Given the recursive formula, find the first four terms:
Un = Un-1 + 5
U1 = -16
a)
-16, -21, -26, -31
b)
5, -11, -27, -43
c)
-16, -80, -500, -200
d)
-16, -11, -6, -1
19.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
20.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
21.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
22.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
23.
Which of the following equations is of a line with a slope of -1/2 and a y-intercept of (0, -8)?
a)
y = 1/2x + 8
b)
y = -1/2x - 8
c)
y = -8x - 1/2
d)
y -1/2x = -8
24.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D
25.
Solve for x
rx= t
rx= t
a)
t= x
b)
t/r = x
c)
t - r = x
26.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
27.
Which equation matches the table?
a)
y = 3x + 9
b)
y = x + 9
c)
y = x + 3
d)
y = 12x - 3
28.
What is the equation of the linear function?
a)
y = -3x + 10
b)
y = -3x + 16
c)
y = 3x + 10
d)
y = 3x + 16
29.
On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?
a)
10c + 5d = 14.25
5c + 10d = 16.50
5c + 10d = 16.50
b)
10c + 5d = 16.50
5c + 10d = 14.25
5c + 10d = 14.25
c)
c + d = 10
5c + 10d = 16.50
5c + 10d = 16.50
d)
c + d = 5
5c + 10d = 16.50
5c + 10d = 16.50
30.
What is the solution to this system of linear equations?
Use substitution.
y = -2x - 6
-2x + y = 6
Use substitution.
y = -2x - 6
-2x + y = 6
a)
(0, -3)
b)
(-3, -12)
c)
(-3, 0)
d)
(3, -12)
31.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.
a)
12 chapters
b)
15 chapters
c)
18 chapters
d)
21 chapters
32.
In the scatter plot, does the image shows a "Line of Best Fit"?
a)
Yes
b)
No
33.
In the scatter plot, does the image shows a "Line of Best Fit"?
a)
Yes
b)
No
34.
In the scatter plot, does the image shows a "Line of Best Fit"?
a)
Yes
b)
No
35.
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
a)
an = 4n + 29
b)
an = -4n + 25
c)
an = -4n + 29
d)
an = 4n + 25
36.
Is the sequence geometric or arithmetic?
6, 18, 54...
6, 18, 54...
a)
Arithmetic
b)
Geometric
c)
Neither
37.
What is the common ratio for the sequence:
3, 15, 75...
3, 15, 75...
a)
12
b)
1/5
c)
5
38.
What is the explicit rule for the sequence:
11, 22, 44, 88...
11, 22, 44, 88...
a)
an = 2(11)n-1
b)
an = 11x2
c)
an = 11(2)n-1
39.
Which formula is used to find the explicit equation for arithmetic sequences?
a)
an = an-1 + d
b)
an = an-1 * r
c)
an = a1 + d(n-1)
d)
an = a1 * rn-1
40.
Which formula is used to find the recursive equation for arithmetic sequences?
a)
an = an-1 + d
b)
an = an-1 * r
c)
an = a1 + d(n-1)
d)
an = a1 * rn-1
41.
Which formula is used to find the explicit equation for geometric sequences?
a)
an = an-1 + d
b)
an = an-1 * r
c)
an = a1 + d(n-1)
d)
an = a1 * rn-1
42.
Which formula is used to find the recursive equation for geometric sequences?
a)
an = an-1 + d
b)
an = an-1 * r
c)
an = a1 + d(n-1)
d)
an = a1 * rn-1
43.
∣ 2x + 9 ∣ = 15
a)
x = 3
b)
x = 3
x = -6
x = -6
c)
x = 3
x = -12
x = -12
d)
x = 6
x = -12
x = -12
44.
Solve for x.
|v + 8| − 5 = 2
|v + 8| − 5 = 2
a)
{-1,-15}
b)
{-1,-5}
c)
{-15,15}
d)
No Solution
45.
Solve for x.
2|x + 1| - 5 = 5
2|x + 1| - 5 = 5
a)
x = 4 & x = 6
b)
x = -4 & x = 6
c)
x = -6 & x = 4
d)
no solution
46.
In an exponential function, what does the 'a' represent?
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
47.
A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?
a)
-5
b)
-.05
c)
.95
d)
.05
48.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
49.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
50.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
51.
a)
Function
b)
Not a Function
52.
What is the domain?
a)
{-2, -1, 0, 1, 8}
b)
{3, 5, 7 , 9, 0}
c)
{-2, -1, 0, 1, 3, 5, 7, 8, 9}
d)
{-2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
53.
What is the RANGE of this graph?
a)
7 < x < 15
b)
-7 ≤ x < 5
c)
-4 < x < 3
d)
-3 ≤ x < 1
54.
What is the range of the function?
a)
0≤h≤3
b)
0≤h≤36
c)
h<3
d)
t ≤ 360
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