WorksheetsMr. A's Algebra 1 review
Total questions: 75
Worksheet time: 2hrs 19mins
Name
Class
Date
1.
What is the vertex of the quadratic function: y=1/2(x-3)2+8?
a)
(3,8)
b)
(-3,-8)
c)
(-3,8)
d)
(3,-8)
2.
What is the domain and range of the given parabola:
y=6(x-4)2-1?
y=6(x-4)2-1?
a)
Domain: all real numbers
Range: y≥-1
Range: y≥-1
b)
Domain: x≥-1
Range: all real numbers
Range: all real numbers
c)
Domain: all real numbers
Range: y ≤-1
Range: y ≤-1
d)
Domain: x≤-1
Range: all real numbers
Range: all real numbers
3.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry
d)
Vertex Form
4.
a)
√3
b)
±√3
c)
-3
d)
No real solution
5.
a)
±23.25
b)
±5
c)
±25
d)
No real solution
6.
a)
± 1
b)
± 4/3
c)
± 3/4
d)
No real solution
7.
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
8.
Which method should you use to solve this equation?
3x2 - 8x + 15 = 0
3x2 - 8x + 15 = 0
a)
Solve Symbolically (SADMEP)
b)
Zero Product Property
c)
Quadratic Formula
9.
Identify the a, b and c values for this equation:
3x2 - 8x + 15 = 0
3x2 - 8x + 15 = 0
a)
a=3, b=8, c=0
b)
a=3, b=-8, c=15
c)
a=3, b=8, c=15
10.
What should you do first in solving this equation?
x2 + 6x - 13 = 3
x2 + 6x - 13 = 3
a)
Get factored form
b)
Write down: a=1, b=6, c=-13
c)
Make it equal 0 by subtracting 3 on each side
d)
Type it all in a calculator.
11.
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
12.
9a + 10*(2a + 1)
a)
21a + 1
b)
9a +21
c)
29a +10
d)
39a
13.
-5n + 2*(4 - 5n)
a)
-15n + 8
b)
-5n - 2
c)
-5n + 9
d)
5n + 8
14.
Simplify
5(2 - 7n)
5(2 - 7n)
a)
52 - 7n
b)
10 - 7n
c)
10 - 35n
d)
10 + 35n
15.
.
a)
a
b)
b
c)
c
d)
d
16.
a)
the independent variable is distance
b)
the independent variable is d=25 t
c)
the dependent variable is time
d)
the dependent variable is distance
17.
On a graph, which axis shows the independent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
18.
E = mc2 solve for m
a)
m = sqrt(E/c)
b)
m = sqrt(E)/c
c)
m = E/c2
d)
m = money
19.
Solve the literal equation for the given variable.
a)
2A/h
b)
2/(h)
c)
2Ah
d)
Ah/2
20.
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
21.
What inequality does the number line graph represent?
a)
x <= 4
b)
x>= -4
c)
x < -4
d)
x < 4
22.
10 ≥ x - 3
a)
x ≤ 13
b)
x ≥ 13
c)
x ≤ 7
d)
x ≥ 7
23.
What are the solutions of this graph?
a)
-2 and 3
b)
-1/2 and -6
c)
-2 and -6
d)
3 and -6
24.
If each mark on the x-axis represents one second, when did the object reach its maximum height?
a)
2.5 seconds
b)
2 seconds
c)
5.5 seconds
d)
3 seconds
25.
What is the vertex?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
26.
What is another word that describes the zeroes of a quadratic function?
a)
y-intercepts
b)
vertex
c)
x-intercepts
d)
maximum
27.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
28.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
29.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
30.
For h(x) = x3 + 2x, find h(4).
a)
20
b)
14
c)
64
d)
72
31.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; there is a line connecting the dots.
32.
a)
Function
b)
Not a Function
33.
What is the range of the following graph?
a)
all real numbers
b)
all integers
c)
any real number greater than zero
d)
it can not be determined
34.
Valley Video charges a $15 annual fee plus $3 per movie for rentals. Last year, Jennifer spent $99 at the video store. How many movies did she rent? Write the linear equation and solve for the number of movies.
a)
15x + 3x = 99 and 6 movies
b)
15x + 3 = 99 and 6 movies
c)
3x + 15 = 99 and 28 movies
d)
3x + 99 = 15 and 28 movies
35.
A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.
a)
c = 2.75b + 4
b)
c = 2.75b
c)
c = 4b- 2.75
d)
c = 2.75b - 4
36.
a)
A
b)
B
c)
C
d)
D
37.
a)
A
b)
B
c)
C
d)
D
38.
a)
A
b)
B
c)
C
d)
D
39.
a)
A
b)
B
c)
C
d)
D
40.
Graph y = -3
a)
A
b)
B
c)
C
d)
D
41.
Graph 2x - y = 4
a)
A
b)
B
c)
C
d)
D
42.
Answer
a)
A
b)
B
c)
C
d)
D
43.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
44.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
45.
Select the correct inequality for the graph.
a)
y ≤ -3/4 x + 3
b)
y ≥ -3/4 x + 3
c)
y < -3/4 x + 3
d)
y > -3/4 x + 3
46.
Y varies directly with x, and y is 84 when x is 16. Which equation represents this situation?
a)
y=1344x
b)
y=100x
c)
y=5.25x
d)
y=4/21x
47.
If y = 15 when x = 12 find y when x = 32.
a)
y = (5/4)x; 40
b)
y= (4/5)x; -40
c)
y= 4x; 5
d)
y= 5x; -5
48.
The word scrawny, as in "Jason appeared scrawny," has a _________ connotation.
a)
positive
b)
negative
49.
Describe the relationship.
a)
Strong positive correlation
b)
Strong negative correlation
c)
Weak positive correlation
d)
No correlation
50.
Solve the system by elimination.
−8x − 10y = 20
−8x − 6y = −4
−8x − 10y = 20
−8x − 6y = −4
a)
Infinite number of solutions
b)
(6, 5)
c)
(−6, −5)
d)
(5, −6)
51.
Solve using SUBSTITUTION.
a)
(3,-9)
b)
(-3.-9)
c)
(-3,9)
d)
(0,1)
52.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
53.
This system has _____ solutions
a)
0
b)
1
c)
2
d)
Infinitely many
54.
Is (0, -1) a solution to the system ?
a)
Yes
b)
No
55.
The solution to this system is...
a)
(1,0)
b)
(1,3)
c)
(-2,0)
d)
Infinitely many
56.
√75x²
a)
5x²√3
b)
5x
c)
5x√3x
d)
5x√3
57.
a)
A
b)
B
c)
C
d)
D
58.
1.) Simplify
(2a2b4z)(6a3b2z5)
(2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
59.
2.) Simplify
(3x3y5)4
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
60.
3.) Simplify
(45x6y2)/(5x4y9)
(45x6y2)/(5x4y9)
a)
(9x2)/y7
b)
40x2y7
c)
9x2y7
d)
9x10y11
61.
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
62.
a)
a
b)
b
c)
c
d)
d
63.
Multiply:
(x - 1)(x - 8)
(x - 1)(x - 8)
a)
x2 + 9x + 8
b)
x2 + 9x - 8
c)
x2 - 9x - 8
d)
x2 - 9x + 8
64.
Find the product:
(3x – 1)(x + 5)
(3x – 1)(x + 5)
a)
3x2 + 4x + 5
b)
3x2 + 4x - 5
c)
3x2 + 14x + 5
d)
3x2 + 14x - 5
65.
Factor:
x2 - x - 30
x2 - x - 30
a)
(x - 6) (x + 5)
b)
(x - 5) ( x + 6)
c)
Prime Polynomial
d)
(x - 6) ( x - 5)
66.
What is the GCF of the following trinomial?
3x2 - 9x -120
3x2 - 9x -120
a)
3
b)
2
c)
6
d)
9
67.
Factor
3k2+21x+30
3k2+21x+30
a)
3(k+2)(k+5)
b)
3(k-2)(k-5)
c)
3(k+10)(k+4)
d)
3(k+2)(k-5)
68.
If the graph of a quadratic does not intercept the x-axis at any point, then it has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
69.
Using your calculator, determine how many solutions this equation will have:
3x2 + 4x - 4 = 0
3x2 + 4x - 4 = 0
a)
1
b)
2
c)
3
d)
none
70.
True or false:
The solution, root, x-intercept, and zero of a problem are all the same thing.
The solution, root, x-intercept, and zero of a problem are all the same thing.
a)
True
b)
False, because the solution and root are the same but the x-intercept and zero are different
c)
False, because the x-intercept and root are the same but the zero and solution are different
d)
False, they are all different
71.
a)
A
b)
B
c)
C
d)
D
72.
Identify the 'b' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
8
d)
-24
73.
.How many zeros does this parabola have?
a)
3
b)
2
c)
0
d)
1
74.
Find the domain.
a)
-3 ≤ x ≤ 9
b)
4 ≤ x < 5
c)
-3 < x ≤ 9
d)
-∞ ≤ x ≤ 9
75.
Find the range.
a)
-4 ≤ y ≤ 3
b)
-4 ≤ y < 5
c)
-∞ ≤ y ≤ 5
d)
-3 ≤ y ≤ 9
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