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WorksheetsAlgebra 1 Review - February
Total questions: 108
Worksheet time: 4hrs 36mins
Name
Class
Date
1.
√200
a)
14
b)
20√8
c)
5√3
d)
10√2
2.
5√48x²
a)
10x√3
b)
15x√3
c)
20x√3
d)
25x√3
3.
Simplify: √20 + √45
a)
√65
b)
√5
c)
5√5
d)
-2√5
4.
Simplify: √3 × √6
a)
3√2
b)
3√6
c)
6√3
d)
3√3
5.
Simplify:
a)
A
b)
B
c)
C
d)
D
6.
Simplify the expression:
a)
√2 - 3√3
b)
2√-59
c)
-2√2 - 3√3
d)
-3.782
7.
Is the number rational or irrational?
a)
Rational -
b)
Irrational
8.
Is the number rational or irrational?
a)
Rational
b)
Irrational
9.
Is the number rational or irrational?
a)
Rational
b)
Irrational
10.
Is the number rational or irrational?
a)
Rational
b)
Irrational
11.
Is the number rational or irrational?
a)
Rational
b)
Irrational
12.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
13.
Find the sum.
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
a)
3y3 + 7y2 - 4y + 3
b)
4y2 + 3y3 - y + 3
c)
-y4 + 2y3 -y - 4
d)
4y3 + 3y2 -3y + 1
14.
Find the difference.
(3- 2x + 2x2) - (4x -5 +3x2)
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
15.
Simplify the expression:
(3x4 - 4 - 5x2) - (1 - x2 + 2x3)
(3x4 - 4 - 5x2) - (1 - x2 + 2x3)
a)
3x4 - 2x3 - 4x2 - 5
b)
3x4 - 7x3 - 4x2 - 5
c)
3x4 - 7x3 - 4x2 - 4
d)
3x4 - 5x3 - 4x2 - 4
16.
Simplify the expression:
(4v3 + 3v - 8v4) + (4v - 8v4 - 7)
(4v3 + 3v - 8v4) + (4v - 8v4 - 7)
a)
-17v4 + 4v3 + 2v - 7
b)
-16v4 + 4v3 + 10v - 7
c)
-16v4 + 4v3 + 7v - 7
d)
-16v4 + 4v3 + 2v - 7
17.
6v(2v + 3)
a)
12v+18
b)
15v2 + 8v
c)
12v2 + 18v
d)
12v2 + 18v2
18.
(2n + 2)(6n + 1)
a)
12n + 2
b)
12n2 + 2
c)
12n2 + 12n + 2
d)
12n2 + 14n + 2
19.
2x3(x2−2x − 3)
a)
2x6- 4x3 - 6x3
b)
2x5−4x4 − 6x3
c)
-2x5−4x4 − 6x3
d)
-2x6−4x3 − 6x3
20.
(x − 3)(6x − 2)
a)
6x2 − 20x + 6
b)
6x2 + 20x - 6
c)
6x2 +6
d)
6x + 6
21.
(4a + 2)(6a2 − a + 2)
a)
24a3 + 16a2 + 6a + 4
b)
24a3 + 8a2 + 10a + 4
c)
24a3 + 8a2 + 6a + 4
d)
24a3 - 8a2 - 6a + 4
22.
(x+10)(x-10)
a)
x2 - 100
b)
x2 + 100
c)
x2 + 20x - 100
d)
x2 -20x + 100
23.
Find the area of a rectangle with length (x-5) and width (3x+1).
a)
3x2+16x-5
b)
3x2-14x+5
c)
3x2-14x-5
24.
(a+b)(a+b)
a)
a2 - b2
b)
a2 + b2
c)
a2 + ab + b2
d)
a2 + 2ab + b2
25.
Convert 62 miles/hour to feet/second
a)
5,456 feet/second
b)
.003 feet/second
c)
90.9 feet/second
d)
909 feet/second
26.
32,190 inches/year to yards/day
a)
88.19 yards/day
b)
7.3 yards/day
c)
2.4 yards/day
d)
4.9 yards/day
27.
Solve the equation for m.
7m - 4n = 8
7m - 4n = 8
a)
m = (8 + 4n)/7
b)
m = 8/7 + 4n
c)
m = (8 - 4n)/7
28.
The area of a triangle is A = (bh)/2. Solve the formula for b.
a)
b = A/(2h)
b)
(2A)/h = b
c)
b = 2A - h
29.
4x - 2 ≤ -22
a)
x ≥ -5
b)
x ≥ -6
c)
x ≤ -6
d)
x ≤ -5
30.
7 is less than a number.
a)
x > 7
b)
x < 7
c)
x ≤ 7
d)
x ≥ 7
31.
"At most" and "No more than" are both clue words for...
a)
<
b)
>
c)
≤
d)
≥
32.
The product of x and 7 is not greater than 10
a)
7x >10
b)
7x ≤ 10
c)
7 + x < 10
d)
7 / x < 10
33.
-7 + 10z > -27
a)
z < -2
b)
z > -34
c)
2 > z
d)
z > -2
34.
Which inequality matches the graph?
a)
A
b)
B
c)
C
d)
D
35.
What is the correct equation in
Slope-Intercept Form?
(y = mx +b)
Slope-Intercept Form?
(y = mx +b)
a)
y = 1/3x - 1
b)
y = 1/4x -1
c)
y = -1/3x +1
d)
y = -1/4x + 1
36.
What is the correct equation in
Slope-Intercept Form?
(y = mx +b)
Slope-Intercept Form?
(y = mx +b)
a)
y = 4/3x - 4
b)
y = -4/3x + 3
c)
y = 4/3x + 4
d)
y = -4/3x +3
37.
Step 2 is what
a)
Substitution property (simplify)
b)
Multiplication property of equality
c)
Division property of equality
d)
Distributive Property
38.
What is step 4
a)
Substitution property (simplify)
b)
Addition property of equality
c)
Subtraction property of equality
39.
Step 1 is what
a)
addition property of equality
b)
given
c)
subtraction property of equality
d)
prove
40.
Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?
a)
y = 150 + 40
b)
y = 40x + 150
c)
y = 150x + 40
41.
Amber's savings account had a balance of $350 rolled over from the previous year. She set it up for $50 to be drafted out of her checking account and into her savings account every month. What information in this problem represents the y-intercept?
a)
350
b)
50
c)
-50
d)
-350
42.
Find three consecutive integers such that the sum of the largest and 5 times the smallest is -244. Find the smallest integer.
a)
-41
b)
-40
c)
-39
d)
-43
43.
There are 3 consecutive integers twice the first is 20 more than the second. Find the largest number.
a)
21
b)
24
c)
22
d)
23
44.
Choose the correct inequality for this graph.
a)
b)
c)
d)
45.
Which point below is NOT part of the solution set?
a)
(0, 0)
b)
(5, 1)
c)
(-1, -3)
d)
(20, -5)
46.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
47.
Are the points on the line part of the solution set or not? For example
a)
Yes, they are part of the solution set
b)
No, they are NOT part of the solution set
48.
Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.
a)
Yes because it is located in the shaded region.
b)
No because it is located on the line and the line is dotted.
c)
Yes because it is located on the line.
d)
No because it is in the shaded region.
49.
Consider the function y < 2x+3. Which is true?
a)
The line would be solid with shading above.
b)
The line would be dashed with shading above.
c)
The line would be solid with shading below.
d)
The line would be dashed with shading below.
50.
Shade above or below?
y ≥
y ≥
a)
Above
b)
Below
51.
Shade above or below?
y <
y <
a)
Above
b)
Below
52.
Solid or dashed line?
Y <
Y <
a)
Solid
b)
Dashed
53.
Solid or dashed line?
Y ≥
Y ≥
a)
Solid
b)
Dashed
54.
How many solutions will this system have?
a)
No Solution
b)
Infinitely Many Solutions
c)
No Clue
d)
One solution
55.
What is the solution?
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
56.
How many solutions will this system have?
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
57.
The solution (x, y) to a system of equations is the point where they...?
a)
Run off the graph
b)
Don't touch
c)
Intersect
d)
Exist
58.
What is the solution to the system?
a)
(0, 3)
b)
(1, -1)
c)
(-3, 1)
d)
(1, 3)
59.
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)
60.
Solve for x and y
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
61.
Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?
a)
x+y=134
x+y=120
x+y=120
b)
3x+3y=134
4x+3y=120
4x+3y=120
c)
4x+3y=134
3x+3y=120
3x+3y=120
d)
7xy=134
6xy=120
6xy=120
62.
What does the x represent in this situation?
Manny’s Music Rental charges a fee of $40 plus $25 per month to rent a saxophone. Sid’s Saxophones charges $25 plus $30 per month to rent the same saxophone.
y = 25x + 40
y = 30x + 25
Manny’s Music Rental charges a fee of $40 plus $25 per month to rent a saxophone. Sid’s Saxophones charges $25 plus $30 per month to rent the same saxophone.
y = 25x + 40
y = 30x + 25
a)
price of a saxophone
b)
rental fee
c)
total cost
d)
number of months
63.
Solve the system of equations using the elimination method
x + 4y = 9
-x + 6y = 11
x + 4y = 9
-x + 6y = 11
a)
(1,2)
b)
(2,4)
c)
(5,8)
d)
No solution
64.
Shanelle ordered 4 bagels and 3 muffins and paid $10.86. Chris ordered 4 bagels and 6 muffins and paid $14.16. What is the cost of one bagel?
a)
$1.10
b)
$1.89
c)
$3.30
d)
$7.56
65.
a)
A
b)
B
c)
C
d)
D
66.
Name the parent function.
a)
linear
b)
constant
c)
absolute value
d)
quadratic
67.
Name the parent function.
a)
linear
b)
quadratic
c)
cubic
d)
logarithmic
68.
Name the parent function.
a)
square root
b)
quadratic
c)
cubic
d)
exponential
69.
Name the parent function.
a)
linear
b)
exponential
c)
logarithmic
d)
cubic
70.
Name the parent function.
a)
constant
b)
quadratic
c)
linear
d)
exponential
71.
Name the parent function.
a)
quadratic
b)
cubic
c)
square root
d)
logarithmic
72.
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
73.
Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%. How much will the printer be worth in 8 years?
a)
$23,219.72
b)
$136.72
c)
$51,710.94
d)
$16,710.94
74.
Is this exponential growth or decay?
a)
Growth
b)
Decay
75.
What is the initial value for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
76.
The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.
a)
y=1400(1.09)x
b)
y=1.09(1400)x
c)
y=1400(.91)x
d)
y=1.09x
77.
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
78.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
A=1200(.85)6
a)
Growth
b)
Decay
79.
Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)3
A=10(1.01)3
a)
Growth
b)
Decay
80.
Emily would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.
a)
$15,415.94
b)
$15,683.28
c)
$15,927.56
d)
$16,109.05
81.
Principal: $5000
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.
a)
$12712.31
b)
$12,749.30
c)
$12,657.59
d)
$12550.84
82.
Find the common difference: -34, -29, -24, -19, ...
a)
d = -5
b)
d = 5
c)
d = -6
d)
d = 6
83.
Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...
a)
-1, 7, 15
b)
-5, 2, 9
c)
3, 12, 21
d)
-65, -73, -81
84.
Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...
a)
-216
b)
-148
c)
-146
d)
-150
85.
Find the common ratio for the geometric sequence.
a)
10
b)
1/2
c)
2
d)
4
86.
What are the next 3 terms in the following geometric sequence:
512, 256, 128, ___, ___, ___, ...
a)
1024, 2048, 4096
b)
32, 8, 2
c)
64, 32, 16
d)
92, 66, 38
87.
Write the explicit formula for the geometric sequence.
a)
an = 4(3)n-1
b)
an = 3(4)n-1
c)
an = -4(3)n-1
d)
an = 3(-4)n-1
88.
Find the first four terms of the sequence given the rule:
an = 4(5)n-1
an = 4(5)n-1
a)
20, 100, 500, 2500
b)
5, 20, 80, 320
c)
4, 20, 100, 500
d)
4, 9, 14, 19
89.
What is the 14th term of the geometric sequence?
a)
14,348,907
b)
4,782,969
c)
1,594,323
d)
45
90.
Given the sequence:
125, 25, 5, ....
Write the rule an using the geometric sequence formula:
a)
an = (125)(1/5)(n-1)
b)
an = 625(1/5)(n-1)
c)
an = 625(5)(n-1)
d)
an = 125 + 5n
91.
Factor
x2 + 9x - 36
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
92.
Factor
a2 - a - 12
a2 - a - 12
a)
(a - 4)(a + 3)
b)
(a + 6)(a - 4)
c)
(a - 6)(a + 4)
d)
(a + 4)(a - 3)
93.
What is the GCF of the trinomial?
3x2 - 9x -120
3x2 - 9x -120
a)
3
b)
2
c)
6
d)
9
94.
Factor completely.
2n2 + 13n + 15
2n2 + 13n + 15
a)
(5n - 9)(n - 3)
b)
(3n + 7)(n + 4)
c)
(2n + 3)(n + 5)
d)
Not factorable
95.
Factor completely.
5x2 - 13x + 6
5x2 - 13x + 6
a)
(x - 3)(5x - 2)
b)
(5x - 3)(x - 2)
c)
5(x - 3)(x + 2)
d)
Not factorable
96.
What are the zeros of the function in the graph?
a)
(-1, 0) and (1, 0)
b)
(0, -1) and (0, 1)
c)
(0, -1)
d)
(-1, 0) and (1, 0) and (0, -1)
97.
To solve a quadratic by graphing is to find where the parabola crosses the x-axis. We call these the ___. Select all that apply.
a)
zeroes
b)
x-intercepts
c)
solutions
d)
roots
98.
Find the zeroes: 2x2 - x - 6 = 0
a)
x = -3 and x = 2
b)
x = -3/2 and x = 2
c)
x = -3/2 and x = -2
99.
Find the zeros.
h(x) = x2 + 6x + 9
a)
(-3,0)
b)
(3,0)
c)
(-3,1)
100.
Determine the values of
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
101.
Solve using the quadratic formula.
2x2 - 9x - 35 = 0
2x2 - 9x - 35 = 0
a)
x = 7/2, x = -6
b)
x = -5/2, x =5
c)
x = -3/7, x =6
d)
x = -5/2, x = 7
102.
What value of c would make this a perfect sqaure trinomial?
x2 +8x + c
x2 +8x + c
a)
4
b)
16
c)
64
d)
-16
103.
What value of c would make this a perfect square trinomial?
x2 - 12x + c
x2 - 12x + c
a)
36
b)
24
c)
144
d)
-36
104.
Complete the square and write the equation in Vertex Form:
f(x) = x2 + 16x + 64
f(x) = x2 + 16x + 64
a)
f(x) = (x - 8)2
b)
f(x) = (x+16)2
c)
f(x) = x2 + 8
d)
f(x) = (x+8)2
105.
Complete the Square and write in Vertex Form:
f(x) = x2 + 6x + 5
f(x) = x2 + 6x + 5
a)
(x + 3)2 - 4
b)
(x + 6)2 - 4
c)
(x + 3x)2 - 4
d)
(x + 3)2 + 9
106.
Which equation below is a quadratic function translated up 5 units?
a)
y = x2 + 5
b)
y = (x + 5)2
c)
y = 5x2
d)
y = -x2 - 5
107.
Which equation is a quadratic function reflected over the x-axis and shifted up 2.
a)
y = x2 + 2
b)
y = -x2 + 2
c)
y = x2 - 2
d)
y = -(x + 2)2
108.
Describe the transformation from the parent graph
a)
Reflect over x, right 3, down 4
b)
Reflect over y, right 3, down 4
c)
Reflect over x, right 3, up 4
d)
Reflect over y, left 3, down 4
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