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WorksheetsAlgebra I STAAR EOC Review
Total questions: 81
Worksheet time: 4hrs 32mins
Name
Class
Date
1.
What is the domain of this function?
(2, 4), (5, 5), (8, 6), (11, 7)
(2, 4), (5, 5), (8, 6), (11, 7)
a)
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11)
b)
(2, 5, 8, 11}
c)
{4, 5, 6, 7}
d)
{2, 4, 5, 8, 6, 11, 7}
2.
What is the domain of the graph?
a)
numbers between and including 1 and 4
b)
numbers between and including 1 and 5
c)
All positive numbers
d)
All positive numbers greater than 1
3.
The function f(x)=3.25x+2 models the the total cost to bowl x number of games. What is the most appropriate domain of the function?
a)
All integers
b)
All rational numbers
c)
All non-negative integers
d)
All non-negative rational numbers
4.
The function f(x)=0.49x models the cost to purchase x pounds of apples from the grocery store. What is the most appropriate domain for the function?
a)
All integers
b)
All rational numbers
c)
All non-negative integers
d)
All non-negative rational numbers
5.
The function f(x)=1.75x+2 models the total cost to purchase an ice cream sundae with x amount of toppings. Austin only has $8 to spend on his ice cream sundae. What is the most appropriate domain for this situation?
a)
x ≤ 8
b)
0 ≤ x ≤ 8
c)
x ≤ 4
d)
0 ≤ x ≤ 4
6.
What is the domain of the graph?
a)
y≥1
b)
x ≥ 1
c)
All real numbers
d)
none of these
7.
What is the range of the graph?
a)
y≥1
b)
x≥1
c)
All real numbers
d)
none of these
8.
What is the range?
a)
x = 2
b)
−∞ < x < ∞
c)
y = 2
d)
none of these
9.
What is the proper domain?
a)
x≥0
b)
y≥0
c)
All real numbers
d)
{0, 1, 2, 3, 4,...}
10.
What is the domain of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
11.
What is the range of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
12.
What is the domain?
a)
-4 < x ≤ 5
b)
-4 ≤ x < 5
c)
-3 < y < 3
d)
-3 ≤ y ≤ 3
13.
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
14.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
15.
Find the slope of the line that passes through
(1, -19) and (-2, -7)
(1, -19) and (-2, -7)
a)
-4
b)
4
c)
1/4
d)
-1/4
16.
Write in slope intercept form
5x - 3y = -9
5x - 3y = -9
a)
y = (5/3)x - 3
b)
y = (5/3)x + 9
c)
y = (5/3)x + 3
d)
y = (3/5)x + 3
17.
Find the x and y intercepts
4x - 5y = 40
4x - 5y = 40
a)
x intercept is 10
y intercept is 8
y intercept is 8
b)
x intercept is 10
y intercept is 20
y intercept is 20
c)
x intercept is 8
y intercept is 10
y intercept is 10
d)
x intercept is 10
y intercept is -8
y intercept is -8
18.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
(4, -7); m = -1/4
a)
y +7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y+ 7 = 4(x - 4)
d)
y - 7 = -1/4(x - 4)
19.
Write the equation of a line parallel to the one pictured through the point (3,1) in point slope form.
a)
y-1=1/2(x-3)
b)
y+1=1/2(x+3)
c)
y-1=-1/2(x-1)
d)
y+1=-1/2(x+3)
20.
In an exponential function, what does the 'a' represent?
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
21.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
22.
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
23.
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
24.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
A=1200(.85)6
a)
Growth
b)
Decay
25.
Is the pictured graph growth, decay, or linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
26.
James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.
a)
70(2)35
b)
70(2)5
c)
2(70)5
d)
5(70)2
27.
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
28.
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
a)
9766
b)
9006
c)
9765
d)
5433
29.
Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
30.
What is the solution to the system?
a)
(3, -1)
b)
(2, -6)
c)
No Solution
d)
(6, -2)
31.
Solve the following system by graphing. What is the solution?
a)
Infinite number of solutions
b)
(3, 3)
c)
(3, -3)
d)
(-3, 3)
32.
Solve for x and y
3x + 2y = 16
7x + y = 19
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
33.
A manager purchased a total of 21 coffee mugs and key chains. Each coffee mug cost $8.50, and each key chain cost $2.75. If the manager spent a total of $132.50, how many coffee mugs did the manager purchase?
a)
21
b)
8
c)
14
d)
13
34.
Solve the inequality.
x + 5 ≤ 13
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8
d)
x ≤ 18
35.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
11 ≤ a
d)
11 ≥ a
36.
Pick the correct letter for:
6 > x
6 > x
a)
A
b)
B
c)
C
d)
D
37.
The maximum score on the pilot's test is 95 points.
a)
p < 95
b)
p > 95
c)
p ≥ 95
d)
p ≤ 95
38.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
closed
39.
-4x + 14 ≤ 54
a)
x ≥ -10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
40.
Match the system to the graph (solution set is on the left)
a)
y ≤ 3x and y ≤ -2x + 4
b)
y > 3x and y > -2x + 4
c)
y < 3x and y > -2x + 4
d)
y > 3x and y < -2x + 4
41.
Which system of inequalities matches the graph?
a)
x> -2
y < -4
y < -4
b)
x< 2
y> 4
y> 4
c)
x > 2
y < 4
y < 4
d)
x > 2
y <- 4
y <- 4
42.
Is (0,0) a solution to the system?
a)
Solution
b)
Not a solution
43.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
44.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
45.
Does this parabola have a maximum or minimum?
a)
Maximum
b)
Minimum
46.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
47.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
48.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
49.
Factor
k2+7x+10
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
50.
Factor
k2 -2k - 24
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
51.
Factor
3v2 - 4v - 7
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
52.
Factor
2x2 - 13x - 70
2x2 - 13x - 70
a)
(2x-7)(x+10)
b)
(7x+5)(x+2)
c)
(2x+7)(x-10)
d)
2(x+7)(x+10)
53.
Factor
9x2+9x-10
9x2+9x-10
a)
(3x-5)(3x+2)
b)
(3x+5)(3x-2)
c)
(3x+5)(3x+2)
d)
Not Factorable
54.
Factor
81m2 - 1
81m2 - 1
a)
not factorable
b)
(m-9)(m+9)
c)
9m(9m-1)
d)
(9m-1)(9m+1)
55.
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
56.
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t2 + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?
h = -16t2 + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?
a)
10 seconds
b)
64 seconds
c)
960 seconds
d)
2 seconds
57.
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t2 + 64t + 960.
When did the ball hit the ground?
h = -16t2 + 64t + 960.
When did the ball hit the ground?
a)
10 seconds
b)
2 seconds
c)
5 seconds
d)
7 seconds
58.
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t2 + 64t + 960.
What is the maximum height?
h = -16t2 + 64t + 960.
What is the maximum height?
a)
960 feet
b)
1008 feet
c)
1024 feet
d)
1152 feet
59.
Find the 22nd term of the following sequence:
5, 8, 11, ...
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
60.
Identify the common difference.
10, 20, 30, 40, ...
10, 20, 30, 40, ...
a)
5
b)
10
c)
15
d)
20
61.
What are the next 3 terms in this sequence of terms? 3, 7, 11, 15
a)
18, 22, 26
b)
19, 21, 23
c)
19, 23, 27
d)
18, 21, 24
62.
Is the sequence geometric or arithmetic?
3, 6, 9, 12...
3, 6, 9, 12...
a)
Arithmetic
b)
Geometric
c)
Neither
63.
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
64.
This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?
a)
4
b)
3
c)
2
d)
6
65.
Find the general rule for: 64, -32, 16, -8, …
a)
64(1/2)n-1
b)
(-32)n-1
c)
64(-1/2)n-1
d)
(32)n-1
66.
5³⋅5⁴
a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
67.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
68.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
69.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
70.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
71.
(34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
72.
(3y⁴)²
a)
9y⁸
b)
9y⁶
c)
6y⁸
d)
6y⁶
73.
3x⁻³
a)
1⁄3x³
b)
3⁄x³
c)
3x³
d)
-3x³
74.
Fill in the blank with the correct exponent to make the statement true.
316 = (38)(3_)
316 = (38)(3_)
a)
2
b)
8
c)
4
d)
1
75.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
76.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
77.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
78.
(2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
79.
1.) Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
80.
Select the equivalent expression
4x4y3 ⋅ 2x3y-5
4x4y3 ⋅ 2x3y-5
a)
8x7/ y2
b)
6x7y8
c)
6x7y-2
d)
8 / x7y2
81.
Application:
Express the area of the rectangle as a monomial.
Express the area of the rectangle as a monomial.
a)
7x3y8z4
b)
10x2y16z3
c)
10x3y8z4
d)
none of the above
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