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WorksheetsAlgebra I Second Semester Review
Total questions: 43
Worksheet time: 1hrs 27mins
Name
Class
Date
1.
-4x-2y=-12
4x+8y=-24
4x+8y=-24
a)
(5,6)
b)
(6,-6)
c)
(6,-2)
d)
(4,-3)
2.
x-y=11
2x+y=19
2x+y=19
a)
(10,-1)
b)
(-1,10)
c)
(3,-4)
d)
(6,7)
3.
y varies directly with x, and y is 84 when x is 16. What is the constant of proportionality?
a)
y = (21/4)x
b)
k= 21
c)
k= 5.25
d)
k= 4/21
4.
Is the given table a direct variation? If so, what is the constant?
a)
Yes; 1/4
b)
Yes; 4
c)
Yes; 2
d)
No
5.
Find the unit rate: $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?
a)
$1.00 per pound
b)
$3.60 per pound
c)
$1.20 per pound
d)
$1.10 per pound
6.
Determine the type of variation:
a)
Direct
b)
Inverse
c)
Neither
7.
18 vocab words learned in 2 hours; 27 vocab words learned in 3 hours
a)
yes, equivalent
b)
no, not equivalent
8.
A basketball team has 5 forwards, 2 centers and 8 guards. Which is the ratio compares the cumber of guards to forwards
a)
2:8
b)
5:8
c)
8:5
d)
8:2
9.
Simplify
a)
A.(x+7)/(x-4)
b)
B.-3/4
c)
C.(x+3)/(x+4)
d)
D.(x+3)/(x-4)
10.
Simplify
a)
A.4x³/(x+2)
b)
B.4x³/(x+10)
c)
C.2x³/(5x+1)
d)
D. 2x³/(x+5)
11.
Simplify
a)
(x-9)/(x+9)
b)
1/(x-9)
c)
(x+9)
d)
1/(x+9)
12.
Multiply and Simplify
a)
4(x+3)/(x+2),
b)
(x+2)/4(x+1)
c)
(x+2)/4(x+3),
d)
4(x+1)/(x+2),
13.
Multiply and Simplify
a)
(n-10)/8n+56
b)
(n-10)(n+7)/8n+56
c)
(n-10)/8
d)
(n+10)/8
14.
Simplify the expression
a)
(5x + 4y) / 9y
b)
(6y + 3x) / 3y
c)
(2y + x) / y
d)
(6y + 3x) / 9y
15.
The equation for work is shown. Work = Force x Distance
How much work is done when a person applies 25 newtons of force to move a box up a 20 meter long ramp?
How much work is done when a person applies 25 newtons of force to move a box up a 20 meter long ramp?
a)
5 joules
b)
20 joules
c)
45 joules
d)
500 joules
16.
Peter can mow the lawn in 40 minutes and John can mow the lawn in 60 minutes. How long will it take for them to mow the lawn together?
a)
48 minutes
b)
50 minutes
c)
24 minutes
d)
12 minutes
17.
(2x + 5y - z) + (-6x - 4y + 7z)
a)
-4x +6y + 6z
b)
4x + y + 6z
c)
-4x - y + 6z
d)
-4x + y + 6z
18.
(4x3-5x2+3x)+(-2x3-x2+6x)
a)
2x3-6x2-9x
b)
2x3+6x2+9x
c)
-2x3-6x2+9x
d)
2x3-6x2+9x
19.
5x(2x + 3)
a)
10x2 + 15x
b)
7x + 15x
c)
7x2 + 8x
d)
25x2
20.
(3x - 2)(6x + 1)
a)
21x2
b)
18x2 + 9x + 2
c)
9x2 - 9x - 2
d)
18x2 - 9x - 2
21.
Simplify the expression.
x3(2x2+3x)
x3(2x2+3x)
a)
2x5+3x4
b)
2x6+3x3
c)
5x9
d)
5x
22.
What is the degree of
8x3 + 7x2 + 5x - 8?
8x3 + 7x2 + 5x - 8?
a)
4
b)
3
c)
2
d)
2
23.
How many terms does the following polynomial have?
8x5 - 5x4 + 3x3 - 7x2 + 5x - 19
8x5 - 5x4 + 3x3 - 7x2 + 5x - 19
a)
6
b)
5
c)
15
d)
14
24.
Simplify each expression.
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
(6b3 + 6 - b4) - (8b3 - 6b4 + 2)
a)
4b4 - 2b3 + 7
b)
5b4 - 2b3 + 4
c)
b4 - 2b3 + 7
d)
5b4 - 2b3 + 7
25.
Solve
6x2 + 17x + 12 = 0
6x2 + 17x + 12 = 0
a)
x = -4/3, x = -3/2
b)
x = 9, x = 8
c)
x = 4, x = 3
d)
x = -4, x = -3
26.
Solve
x2 + 7x + 12 = 0
x2 + 7x + 12 = 0
a)
x = -2, x = -10
b)
x = -3, x = -4
c)
x = -4, x = -5
d)
x = -4, x = -6
27.
What are the zeros to the equation
x2 - 2x = 8?
a)
x = 2 or x = -4
b)
x = 1 or x = -8
c)
x = 4 or x = -2
d)
x = 8 or x = -1
28.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
29.
Factor:
4n6+16n4-8n
4n6+16n4-8n
a)
4n(n4+4n3-2)
b)
4n(n5+4n3-2)
c)
12n(n5+4n4-2)
d)
16n(n5+4n3-2)
30.
What are the solutions to this equation? (x-3)(x+2)=0
a)
x=3,-2
b)
x=-3,2
c)
x=2,3
d)
x=3,2
31.
a)
± 1
b)
± 4/3
c)
± 3/4
d)
No real solution
32.
If the discriminant is negative, then the quadratic has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solutions
33.
If the discriminant equals 0, then the quadratic has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
34.
If the discriminant is positive, then the quadratic has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
35.
Convert x2+6x+9 to factored form and identify the solution.
a)
(x+3)(x+3); x=-3
b)
(x+4)(x+5); x=-4, -5
c)
(x-3)(x-3); x=3
d)
Not factorable
36.
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
37.
What is the name of the imaginary line that cuts a parabola in half and goes through the vertex?
a)
the middle
b)
axis of symmetry
c)
minimum
d)
standard form
38.
Does the equation open or or down?
Y = -3x2 +7x - 2
Y = -3x2 +7x - 2
a)
up
b)
down
39.
a)
A
b)
B
c)
C
d)
D
40.
What is the Vertex of the graph?
a)
(-4, -4)
b)
(0, 0)
c)
(-8, 0)
d)
(-2, -3)
41.
The height of an object thrown into the air can be modeled by the formula h(t) = -16t2 + 70t + 95, where h(t) is in feet after t seconds.
What is the height of the object after 5 seconds?
What is the height of the object after 5 seconds?
a)
95 feet
b)
45 feet
c)
70 feet
d)
171.56 feet
42.
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
43.
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
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