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WorksheetsAlgebra 1 EOC Review
Total questions: 152
Worksheet time: 9hrs 3mins
This is a _______________ function.
Linear
Exponential
Quadratic
This is a ________________ function.
Linear
Exponential
Quadratic
This is a _______________ function.
Linear
Exponential
Quadratic
What is the asymptote of y = 2x - 3
y = 0
y = -3
x = 0
x = -3
What is the asymptote of y = 2x-3 ?
y = 0
y = -3
x = 0
x = -3
The asymptote is
y = 3
x = 3
y = 2
x = 2
As x → -∞ , f(x) →
-4
-3
∞
-∞
What is the starting point?
0
7
2
6
Write the exponential equation that represents the given table.
y=80⋅4x
y=80⋅41x
y=80−60x
y=80+41x
Write the exponential equation that represents the given table.
y=5⋅2x
y=10⋅2x
y=5+2x
y=10x+10
Write the exponential equation that represents the given table.
y=21⋅3x
y=7+3x
y=7⋅3x
y=21−42x
Write a quadratic equation given the x intercepts and one other point.
Step 1: Write the factors.
The intercepts of this function are (6, 0) and (8, 0). Write the factors.
(x-6) and (x-8)
(x+6) and (x+8)
(x-6) and (x+8)
(x+6) and (x-8)
Write a quadratic equation given the x intercepts and one other point.
Step 3: Write the equation in factored form.
Now, you know that the factors are (x-6) and (x-8) and a = -1. Write the equation of the graph in factored form.
-(x-6)(x-8)
-(x+6)(x+8)
(x-6)(x+8)
(x+6)(x-8)
Now, take the factored form and write it in Standard Form (ax2+bx+c=0) by double distributing (or FOIL).
-(x-6)(x-8)=0
x2+2x-15=0
-x2+14x -48=0
- x2+8x-15=0
x2 + 5x -16=0
Write a quadratic equation in vertex form given the vertex and another point.
- Substitute the coordinates of the vertex (1, -4) in for h and k.
Vertex form: y=a(x-h)2+k
(x+1)2-4=y
(x-1)2-4=y
(x + 1)(x - 3)=y
x2 +2x - 3=y
Convert this equation in vertex form to standard form.
(x-1)2 -1
x2 -2x - 2
x2+x-2
x2+2
x2-2x
Review: What are the vertex and axis of symmetry for the given graph?
Vertex (1, -4) Axis of Symmetry: x=1
Vertex (1, -4) Axis of Symmetry x = -4
Vertex (-4, 1) Axis of Symmetry x=-4
Vertex (-4, 1) Axis of Symmetry x = 1
Which parabola would open down?
f(x)=x2
f(x)=-x2+3x-6
f(x) = x2-16
f(x)=2x2-5x+7
Use any method (graph, factor, complete the square, quadratic formula) to solve the function:
f(x)=x2-7x+10
No solutions
x=-2 and x=-5
x=2 and x=5
x = 2/5
X Y
-3 0.015625
-2 0.0625
-1 0.25
0 1
1 4
2 16
3 64
X Y
-3 -3
-2 -1
-1 1
0 3
1 5
2 7
3 9
What type of function is f(x)=2(41)x ?
exponential growth (increasing)
exponential decay (decreasing)
both growth and decay
Which the following graphs represents an exponential decay function?
Which equation matches the graph?
y = 4x + 3
y = 4x - 3
y = 4(x + 3)
y = 4(x - 3)
Which equation matches this graph?
What is the domain of the function?
x > -4
y > -5
y < -4
all real numbers
Quadratic equations take the shape of a _______ when graphed.
parabola
straight line
snaked line
elliptical
Range : 0 ≤ y ≤ 4
Range : -2 ≤ y ≤ 2
Range : y ≤ 4
Range : y ≤ 4
y = 5x2-4x+10
A certain bacteria triples each day it is in petri dish.
Exponential
Quadratic
Linear
y=7.30+.90x
x + y = 7.30
y = 7.30 + .65x
y + .65x = 7.30
3x + 2y = 16
7x + y = 19
y = 2x + 1
y = 4x - 1
3x - y = 7
2x + y = 3
x+y=87
1.5x+0.5y=87
1.5x+0.5y=87
x+y=87
-4x+2y=-30
x = 7 - 2y
2x + y = 5
n2 + 16n + 63
3v2 - 4v - 7
3a2 + 4a + 1
81m2 - 1
6x2 - 24
6(x2 - 4)
6(x - 2)(x - 2)
6(x - 2)(x + 2)
6(x2 + 4)
r2 - 6r = 7
x2 + 12x + ____
x2 + 6x = 24
2x2 + (4x - 6x2) + 9 - (6x + 3)
5x - 3y = -9
(-3, -4) & (7, 6)?
(3 - 2x + 2x2) - (4x - 5 + 3x2)
Which function is represented by the following equation.
y = 3x
Linear
Quadratic
Exponential
None of the Above
(x - 3)2
5(v + 3) - 10v > -10
The graph of a quadratic function is shown on the grid.
Which function is best represented by this graph?
h(x)=x2−3x−9
h(x)=x2+3x−9
h(x)=x2−6x
h(x)=x2+6x
Which expression is equivalent to 24x2−22x+5 ?
(12x+5)(2x+1)
(8x−5)(3x−1)
(12x−5)(2x−1)
(8x+5)(3x+1)
A system of equations is graphed on the grid.
Which system of equations does the graph represent?
y=−x−4
y=2x−2
y=−x+4
y=2x−4
y=x−4
y=−2x−2
y=x+4
y=−2x−4
The table represents some points on the graph of an exponential function.
Which function represents the same relationship?
f(x)=15(65)x
f(x)=18(56)x
f(x)=15(56)x
f(x)=18(65)x
The table shows the amount of pet food in cups remaining in an automatic feeder as a function of the humber of meals the feeder has dispensed.
Based on the table, which function models this situation?
f(n)=−3n+24
f(n)=−31n+16
f(n)=−3n+64
f(n)=−31n+8
The graph of f(x)=x2 was transformed to create the graph of g(x)=f(x)−9 . Which statement about the graphs is true?
The graph of g is a reflection of the graph of f across the x-axis.
The vertex of the graph of g is 9 units to the right of the vertex of the graph of f.
The graph of g is a reflection of the graph of f across the y-axis.
The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.
Which graph best represents y=10(0.85)x ?
Which value of x is a solution to this equation?
x=−6
x=4
x=−1.8
x=1.2
A part of an exponential function is graphed on the grid.
Which inequality best represents the domain of the part shown?
x≥−2
y≥4.5
x≥4.5
y≥−2
Which function is equivalent to y=3(x+2)2+7 ?
y=3x2+12x+33
y=3x2+12x+19
y=3x2+19
y=3x2+33
f(x)=(x+7)2
f(x) is transformed so that it maps onto g(x) . Which equation would correctly represent ?
g(x) = f(x+3)
g(x) =f(x−3)
g(x) =f(x) +3
g(x) = f(x) −3
What type of function is y=7(45)x ?
(-∞, ∞)
(-∞,0)
(0, ∞)
What is the Domain of this exponential function?
y=1
x=0
All Real Numbers
x>0
What is the range of the exponential function?
all real numbers
y > 3
y < 3
x > 3
Describe the transformation that occurred
p(x) = f(x + 3)
Right 3 units
Vertical Stretch
Up 3 units
Left 3 units
12,10,10,10,13,12,11,13,10
15, 2, 3, 7, 8, 4, 3, 2, 16, 2, 4
4, 5, 6, 7, 3, 4, 10, 1
This box-and-whisker plot is skewed right.
2, 25, 27, 30, 35
15, 17, 19, 24, 25
58, 38, 54, 48, 26, 36
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
Find the first 5 terms of the sequence: an = 5n − 3
-3, 2, 7, 12, 17
2, 7, 12, 17, 22
5, 2, -1, -4, -7
2, 7, 32, 157, 782
Find the first four terms of the sequence given the rule:
gn = 4(5)n-1
20, 100, 500, 2500
5, 20, 80, 320
4, 20, 100, 500
4, 9, 14, 19
a1 = 8; an = an-1 - 3
Given the sequence 2, 8, 14, 20, 26, ... What is the common difference?
2
4
6
8
What does r represent?
Radical
Common difference
Common ratio
y < 2
y < 2
y < 2
y < -2
y < x + 4
y ≥ x + 4
y ≥ x + 4
y ≥ x + 3
Solve the system of inequalities by graphing.
What does a1 represent?
Any term
First term
Last term
What does r represent?
Radical
Common difference
Common ratio
Given the sequence:
125, 25, 5, ....
Write the rule an using the geometric sequence formula:
an = (125)(1/5)(n-1)
an = 625(1/5)(n-1)
an = 625(5)(n-1)
an = 125 + 5n
Which is the general term of the sequence 4, 8, 12, 16, ...?
an = 2n + 2
an = 4n
an = 2n
an = 1 / 4n - 2
The length of a rectangle is x + 4. The width is 2x. What is the perimeter of the rectangle?
3x + 4
2x2 + 8x
6x + 8
none of these
(4x+3)(2x-1)
3x + 8y = 24
the set of ordered pairs shown below?
{(−15, 12), (−5, 8), (5, 4), (10, 2)}
If f(x)=x2,
Identify the y-intercept
(0, -3)
(0, 1)
(0, 3)
(2, 1)
Determine the end behavior of f(x)=−x12+6x6−36
As x→−∞ , f(x)→−∞ and as x→+∞ , f(x)→+∞ .
As f(x)→+∞ , and as undefined, f(x)→−∞ .
As x→±∞ , undefined.
As f(x)→+∞ , .
