WorksheetsAlgebra I Second Semester Review Day 2
Total questions: 36
Worksheet time: 2hrs 1mins
Name
Class
Date
1.
Complete the square for
x2 + 12x + ____
a)
x2 + 12x + 144
b)
x2 + 12x + 36
c)
x2 + 12x - 36
d)
x2 +12x - 144
e)
x2 +6x +36
2.
Complete the square.
x2 + 6x + ____
a)
x2 + 6x + 9
b)
x2 + 6x - 36
c)
x2 + 6x + 36
d)
x2 + 6x - 9
e)
x2 + 3x +9
3.
Given the perfect square trinomial, identify the equivalent expression
x2-18x+81
a)
(x-18)2
b)
(x-9)2
c)
(x+81)2
d)
(x+9)2
4.
If given the equation
y = 3(x + 5)2 - 4,
what is the vertex of the parabola?
y = 3(x + 5)2 - 4,
what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
5.
The axis of symmetry line passes through which point?
a)
y-intercept
b)
any random point
c)
vertex
d)
symmetrical point for the vertex
6.
Identify the vertex and whether the graph opens up or down.
a)
(5, 2); opens up
b)
(5, 2); opens down
c)
(-5, 2); opens up
d)
(-5, 2); opens down
7.
What is the y-intercept of the equation
y = 2x2+8x+3
a)
(0,3)
b)
(3,0)
c)
(0,2)
d)
y=8
8.
What is the vertex of the absolute value function?
a)
(4, 0)
b)
(0, 4)
c)
(-infinity, infinity)
d)
[4, infinity)
9.
(34)(37)
a)
328
b)
33
c)
3-3
d)
311
10.
(x8)(x-5)
a)
x-40
b)
x-13
c)
x13
d)
x3
11.
(58) / (53)
a)
55
b)
15
c)
511
d)
111
12.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
13.
Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
14.
a)
2a2b6
b)
1/2a2b6
c)
b6/2a2
d)
2b6/a2
15.
Rewrite the following expression
a)
41/2
b)
4
c)
1
d)
42/4
16.
Re-write the expression in radical form.
x2/3
x2/3
a)
(∛x)2
b)
√x3
c)
(1/x)
d)
∛x
17.
Simplify:
a)
2
b)
8
c)
16
d)
32
18.
Write with positive exponents:
a)
a-2
b)
a2
c)
1/a1
19.
Solve.
a)
A
b)
B
c)
C
d)
D
20.
Solve.
a)
A
b)
B
c)
C
d)
D
21.
Simplify the radical...
√20a²b⁴
a)
2ab²√5
b)
4ab²√5
c)
5ab²√2
d)
2a²b²√5
22.
a)
y2z10√xy
b)
20yz√xy
c)
xy2z10√y
d)
yz6√xy2z2
23.
Simplify:
a)
4√30
b)
√4√30
c)
√2√30
d)
2√30
24.
Find the area of the rectangle shown.
a)
18√20
b)
12√10 + 6√2
c)
9√12
d)
36√5
25.
Simplify:
a)
A
b)
B
c)
C
d)
D
26.
(5√3)+(6√3)
a)
11√3
b)
√3
c)
11√6
d)
99
27.
Simplify
-2√2 - 3√8 - √5
-2√2 - 3√8 - √5
a)
-8√2-√5
b)
-8√2-√9
c)
-14√3-√7
d)
-2√4-√3
28.
Solve.
a)
no solution
b)
6
c)
3
d)
4
29.
Sovle for x:
5-3x - 1 = 125
5-3x - 1 = 125
a)
-4/3
b)
-4
c)
-3
d)
-9/5
30.
An owner of a gourmet food store has two varieties of herbal tea, one that costs $4.00 per kilogram and another that costs $5.00 per kilogram. How many kg of each type are needed to make 20 kg of a blend worth $4.60 per kg?
a)
12 kg @ $5; 8 kg @ $4
b)
14 kg @ $5; 6 kg @ $4
31.
A chemist has 60 g of solution that is 70% acid. how much water should be added to make a solution that is 40% acid?
a)
40 g water
b)
50 g water
c)
45 g water
d)
15 g water
32.
One pipe can fill a swimming pool in 8 hours. Another pipe takes 12 hours. How long will it take for the two of them to do the job together?
a)
4 hours
b)
4 hr 48 minutes
c)
4 hours 30 minutes
d)
5 hours
33.
Which of the following is not a solution to this system of inequalities?
a)
(0,-1)
b)
(0,3)
c)
(4,0)
d)
(6,-2)
34.
Which relation is NOT a function?
a)
{(1,-5), (3,1), (-5,4), (4,-2)}
b)
{(2,7), (3,7), (4,7), (5,8)}
c)
{(1,-5), (-1,6), (1,5), (6,-3)}
d)
{(3,-2), (5,-6), (7,7), (8,8)}
35.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
36.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
100 %
