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WorksheetsReview - Exponents & Quadratics
Total questions: 35
Worksheet time: 3hrs 46mins
Which expression is equivalent to (144k2r14)½ for all positive values of k and r?
12kr7
72k2r14
144kr7
12k2r14
Which expression is equivalent to the one shown for all values of q where the expression is defined?
Which expression is equivalent to the one shown for all values of q and w where the expression is defined?
The expression (x3)(x-17) is xn. What is the value of n?
-51
-14
14
20
The area of a rectangle is 54x9y8 square yards. If the length of the rectangle is 6x3y4 yards, which expression represents the width of the rectangle in yards?
9x3y2
48x6y4
9x6y4
60x12y12
Which expression is equivalent to (7x3)2(x8)½ ?
14x10
49x10
14x7
49x7
Which function is best represented by this graph?
f(x) = x2 + 3x - 4
f(x) = -x2 - 3x + 4
f(x) = x2 - 3x - 4
f(x) = -x2 + 3x + 4
Which graph best represents a function with a range of all real numbers greater than or equal to -6?
What is the domain of f(x) = 9 - x2?
f(x) ≥ 9
All real numbers
-3 ≤ x ≤ 3
x ≤ 9
The graph of quadratic function f is shown on the grid. Which of these best represents the domain of f?
-3 ≤ x ≤ 2
All real numbers
y ≥ 5.5
All real numbers less than -3 or greater than 2
What is the range of y = -x2 - 2x + 3?
x ≤ 4
x ≥ -4
y ≤ 4
y ≥ -4
The graph shows the height in feet of an object above the ground t seconds after it was launched from the ground. Which function is best represented by the graph of this situation?
h(t) = -16t2 - 64t
h(t) = -16t2 + 128t - 256
h(t) = -16t2 + 64t
h(t) = -16t2 - 128t - 256
The graph of quadratic function p is shown on the grid.
If k(x) = x2 and p(x) = k(x) + n, what is the value of n?
-3
3
0
-6
The graph of quadratic function f is shown on the grid.
What is the y-intercept of the graph of f?
-6
4
-3
-5
Which quadratic function in vertex form can be represented by the graph that has a vertex at (3, -7) and passes through the point (1, -10)?
y = ¾(x + 3)2 + 7
y = -¾(x + 3)2 - 7
y = ¾(x - 3)2 + 7
y = -¾(x - 3)2 - 7
The graph of a quadratic function is shown on the grid. Which equation best represents the axis of symmetry?
y = 6
x = 2
y = 4
x = 0
Which graph best represents a quadratic function that has only one zero?
What are the solutions to (x + 7)2 = 81?
-74 and 88
-2 and 16
-88 and 74
-16 and 2
What is the positive solution to the equation 0 = ⅓x2 - 3 ?
-3
0
3
No solution
Which expression is equivalent to 6x2 + 13x + 5
(2x + 5)(3x - 1)
(2x - 5)(3x + 1)
(2x + 1)(3x + 5)
(2x - 1)(3x - 5)
Which statement about g(x) = x2 - 576 is true?
The zeros, -288 and 288, can be found
when 0 = (x + 288)(x - 288).
The only zero, 288, can be found
when 0 = (x - 288)2.
The zeros, -24 and 24, can be found
when 0 = (x + 24(x - 24).
The only zero, 24, can be found
when 0 = (x - 24)2.
The area of a rectangular trampoline is 112 ft2. The length of the trampoline is 6 ft greater than the width of the trampoline. This situation can be represented by the equation
w2 + 6w - 112 = 0.
What is the width of the trampoline in feet?
7 ft
16 ft
8 ft
14 ft
The graph of f(x) = x2 was transformed to create the graph of g(x) = (x - 7.5)2. Which of these describes this transformation?
A horizontal shift to the right 7.5 units
A horizontal shift to the left 7.5 units
A vertical shift down 56.25 units
A vertical shift up 56.25 units
The graph of f(x) = x2 is transformed to create the graph of h(x) = 2f(x). Which graph best represents f and h?
The graph of g(x) = x2 was transformed to create the graph of h(x) = -(x/4)2. Which of these describes the transformation from the graph of g to the graph of h?
A reflection over the x-axis and a horizontal stretch.
A reflection over the y-axis and a horizontal stretch.
A reflection over the x-axis and a vertical stretch.
A reflection over the y-axis and a vertical stretch.
Which function is equivalent to
f(x) = -4(x + 7)2 - 6?
f(x) = -4x2 - 56x - 202
f(x) = -4x2 + 14x + 43
f(x) = -4x2 - 56x - 172
f(x) = -4x2 + 190
Which expression is equivalent to -28x2 + 35x?
7x(4x + 5)
-7x(4x - 5)
7x(4x - 5)
-7x(4x + 5)
Which expression is equivalent to
x2 - 17x - 60?
(x - 20)(x + 3)
(x - 5)(x - 12)
(x - 20)(x - 3)
(x + 5)(x - 12)
Which expression is equivalent to m2 - 13m - 30?
(m - 15)(m + 2)
(m - 10)(m - 3)
(m + 15)(m - 2)
(m + 10)(m + 3)
Which expression is a factor of
21x2 + 13x - 20?
3x - 4
7x - 5
7x + 4
3x + 5
Which expression is a factor of
9r2 - 4r + 1?
3r - 1
r - 1
9r - 1
There are no real factors.
Which expression is a factor of 18x2 - 15x + 2?
3x - 2
9x - 1
x - 2
2x - 1
A projectile is launched from the ground. The table shows the height of the projectile, h(t), at different times. Based on the table, which function can best be used to model this situation?
h(t) = 99t2 + 858
-4.9t2 + 295t + 0.6
-4.9t2 + 295t + 2
99t2 + 1,470.3
The total number of seats in an auditorium is modeled by f(x) = 2x2 - 6x, where x represents the number of rows of seats. How many rows are there in the auditorium if it has a total of 16 seats?
32
13
20
16
Given f(x) = ⅓(4 - x)2, what is the value of f(16)?
11
16
48
None of these
