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WorksheetsAlgebra 1 Oct 19th
Total questions: 43
Worksheet time: 2hrs 27mins
The highest or lowest point on the parabola
Parabola
Domain
Vertex
Range
All possible x-values
Domain
Range
Parabola
Vertex
If "a" from y = ax2 + bx + c is positive, then the vertex is the lowest point on the graph.
Minimum
Vertex
Maximum
Parabola
The curved graph of a quadratic (the U shape)
Quadratic
Parabola
Vertex
Minimum
Where the parabola (U shape) crosses the x-axis.
Domain
Range
Y-intercept
X-intercept
Another name for the x-intercept
Roots
Zeros
Solutions
All of the above
A vertical line that cuts the parabola into 2 symmetrical halves. This always goes through the vertex and ALWAYS begins with "x=" This is sometimes called the "line of symmetry".
Parabola
Quadratic
Axis of Symmetry
Domain
All possible y-values
Domain
Range
Parabola
Vertex
Where the parabola crosses the y-axis.
X-intercept
Domain
Y-intercept
Axis of Symmetry
If "a" from y = ax2 + bx + c is negative, then the vertex is the highest point on the graph.
Maximum
Vertex
Minimum
Parabola
The highest or lowest point on the parabola
Parabola
Domain
Vertex
Range
a special relation which each input has exactly one output
function
domain
range
relation
the variable that depends on another value
Ordered Pairs
Function Notation
Dependent Variable
Independent Variable
Vertical Line Test
Ordered Pairs
Mapping Diagram
Function Notation
functions whose values are distinct and seperated; not connected; counted
Counted Function
Continuous Function
Connected Function
Discrete Function
functions whose values are continuous or unbroken over specific domain; connected line; measured
Contunious Function
Discrete Function
Broken Function
Connected Function
What is the domain of h(x) ?
All real numbers
(3, 4)
h(x)≥4
h(x)>4
What is the range of the function graphed on the grid?
y < -4
y ≤ -4
y ≥ -4
y > -4
What is the domain of the function graphed on the grid?
x ≥ 0
-3 ≤ x ≤ 10
All real number
y ≥ 0
A golfer hit a golf ball from a tee box that is 6 yards above the ground. The graph shows the height in yards of the golf ball above the ground as a quadratic function of x, the horizontal distance in yards of the golf ball from the tee box.
What is the domain of the function for this situation?
0 ≤ x ≤ 230
6 ≤ y ≤ 36
0 ≤ y ≤ 36
6 ≤ x ≤ 230
As x --> -∞, f(x) --> ____
As x --> +∞, f(x) --> ____
-∞
-∞
+∞
+∞
Describe the end behavior of the graph.
x → -∞, f(x) → ∞ and x→∞, f(x) →⁻∞
x → -∞, f(x) → ∞ and x→∞, f(x) →∞
x → -∞, f(x) → ∞ and x→∞, f(x) → 0
x → -∞,f(x) → -∞and x→ ∞, f(x) → ∞
x→ ∞, y→⁻∞
x→⁻∞, y→∞
x→∞, y→⁻∞
Factor completely using difference of squares.
4a2 - 25
(2a + 5) (2a - 5)
(2a - 5) (2a - 5)
(x + 5) (x - 5)
Can't factor using the Difference of Squares
Factor completely using difference of squares.
9n2 + 1
(3n + 1) (3n - 1)
(3n - 1) (3n - 1)
(n + 3) (n - 3)
Can't factor using the Difference of Squares
Factor completely using difference of squares.
x2 - 16
(x - 4)(x - 4)
(x + 8)(x - 8)
(x - 4)(x + 4)
(x - 8)(x + 8)
Factor completely using difference of squares.
x2 + 81
( x - 9 ) ( x - 9 )
( x - 9 ) ( x + 9 )
( x + 9 ) ( x + 9 )
Can't factor using the Difference of Squares
Which of the following are in the form of difference of squares? Select all that apply.
7x - 4
v2 - 100
x3 - 49
p2 + 36
9k2 - 25
Factor completely using difference of squares.
a2 - 16b2
( a + 4b ) ( a - 4b )
( a - 4b ) 2
( a - 4b ) ( a - 4b )
( a + 2b ) ( a - 8b )
x2−25
(x+5)(x-5)
x2+25
does not fit the rules for the difference of squares
25−x2
(5+x)(5-x)
Which of these polynomials can be factored using "difference of squares"?
144x2 - 49y2
x2 + 4x - 12
100x2 + 20x + 1
14x - 16
The MoviePass company charges $10 for a membership fee plus an additional $2 fee for every newly released movie you see in the movie theater. Where x represents the number of movies viewed in the theater. Which of the following best describes the domain?
All Real Numbers
All Integers
Positive Whole Numbers
Positive Real Numbers
The total cost for potatoes, y, at a grocery store can be modeled by the equation
y = 0.59x, where x is the number of pounds of potatoes. What is the most appropriate domain of the function?
all non negative real numbers
all non negative integers
all real numbers
all integers
A rental company uses the function
f(x) = 150x + 75 to calculate the cost to rent a beach house x number of nights. The maximum number of nights the beach house can be rented is 30. What is the domain of the function?
0 ≤ x ≤ 30, where x is a whole number
0 < x < 30, where x is a whole number
0 ≤ x ≤ 4,575, where x is a whole number
0 < x < 4,575, where x is a whole number
Convert 62 miles/hour to feet/second
5,456 feet/second
.003 feet/second
90.9 feet/second
909 feet/second
32,190 inches/year to yards/day
88.19 yards/day
7.3 yards/day
2.4 yards/day
4.9 yards/day
On Dr. Davis' bookshelf, there are 23 science textbooks, each with an average of 31 chapters. If each chapter contains 5 pages, how many total pages are there? (Round your answer to 2 sig figs)
3.6 x 104 pages
36 pages
3.6 x 102 pages
3600 pages
Luka and Dana are making cookies for the Westland Pantry. They only have up to 6 hours to bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?
x + y ≥ 6
32x + 20y ≤ 150
x + y ≥ 632
x + 20y ≥ 150
x + y ≤ 6
32x + 20y ≤ 150
x + y ≤ 6
32x + 20y ≥ 150
Kate is selling bracelets and earrings on Etsy to make money for summer vacation. The bracelets (x) cost $2 and earrings (y) cost $3. She needs to make at least $100, but can only make up to 40 pieces of jewelry. Which inequalities represent this situation?
2x + 3y > 100
x + y ≤ 40
100x + 2y > 3
x + y ≤ 40
100x + 40y > 100
3x + 2y ≤ 40
3x + 2y > 100
x + y ≤ 40
