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WorksheetsAlgebra 1 EOC Review
Total questions: 200
Worksheet time: 33hrs 20mins
(x³-2x²+3)+(2x³+3x²-1)
(3x²-3x+2)-(x²-2x+1)
A
B
C
D
What is the first step in solving this equation?
subtract 3 to both sides
subtract the 6 - 2
distribute 2
distribute -2
97=−3(6n−5)−8
−10
16
−5
−2
2(4x-3) - 8 = 4 + 2x
Does the following equation have one solution, no solutions, or infinitely many solutions?
2x + 4 = 2x + 4
One
None
Infinite
This cannot be determined
Does the following equation have one solution, no solutions, or infinitely many solutions?
5x + 4 = 2x + 4
One
None
Infinite
This cannot be determined
Does the following graph have one solution, no solutions, or infinitely many solutions?
One Solution
No Solutions
Infinitely Many Solutions
8x + 4y = 12
y = -2x + 3
How many solutions?
x-2y=1
x+4y=7
Which function models this table?
f(x)=2⋅4x
f(x)=4x
f(x)=4⋅2x
f(x)=8x
What does the value 1.015 represent?
Solve for p
A = 21pa
A−21a = p
a2A=p
2aA=p
2A−a = p
Solve for p
SA =hp + 2B
hSA−2B=p
hSA−2B=p
2BSA−h=p
SA−2B−h=p
If the blue is f(x)=x2, then the red must be
If the blue is f(x)=x2, the red must be
What is the RANGE of this graph?
-7<x<5
-7≤y<5
-3<x<1
-3≤y<1
What is the DOMAIN of this graph?
-4 ≤ x ≤ 3
-1 ≤ x ≤ 4
4 < x < 3
-1 < x < 4
What is the Domain?
y ≥ 6
−∞<x<∞
All Real Numbers
-10 ≤ x ≤ 6
What is the Range?
Select all possible answers...
y≤6
−∞<y≤6
-10 ≤ y ≤ 6
-10 ≤ x ≤ 6
According to Lia's method, which equation gives the slope of the line described by the equation ax + by = c?
Which shows this expression completely factored?
What is the mode of these data?
5(2x - 3) - 6x < 9
for x.
y = 2x2 - 2x + 3 intersect the x-axis?
6f2 - 9
5g3 + 2
5a + 7a - 8
(-4,-5) (4,5) slope = _____
11 - 3x = 44
x: -2 -1 0 1 2 3
-------------------------------
y: -3 0 3 6 9 12
f(x)= (x - 2)(x + 3)?
3v2 - 4v - 7
k2+7x+10
3x + 2y = 16
7x + y = 19
4m2 - 100 = 0
f(x) = -x2 - 4x + 12.
The domain of a quadratic is all real numbers.
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.
The expression (x22)(x7)3 is equivalent to xp . What is the value of p ?
(a)
The graph of a linear function k passes through the points (-7, 0) and (1, 8).
Which statement must be true?
The slope of the graph of k is −34 .
The graph of k passes through the point (-1, -8).
The zero of k is 7.
The x-intercept of the graph of k is -7.
What is the value of x in the solution to this system of equations?
y=−5x+32
-6.5
0.5
6.5
-0.5
Which graph best represents y=10(0.85)x ?
The table shows a linear relationship between x and y.
What is the rate of change of y with respect to x?
−29
92
−92
29
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
What is the solution to −(6m+18)=4(17−m) ?
(a)
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
The slopes of parallel lines are...
the same
opposite
always different
(6,7) and (4,2)
m = 3/4
What is the slope of a line perpendicular to 5?
5
1/5
-1/5
-5
43
415
13
115
5x - y = 16
Combine (x2 + 2x - 4) - (5x2 - 3x - 1)
-4x2 + 5x - 3
6x2 + 5x - 5
-4x2 -1x - 5
6x2 + 5x - 3
What does the "m" represent in a slope-intercept form equation (y= mx + b)?
m = y-intercept
m = slope
m = y
m = x
What does "b" represent in the slope-intercept equation (y = mx + b)?
b = the slope
b = the x-intercept
b = the y-intercept
b = barometer
How do you find the slope when given two points on a line?
m = rise/run
plug in a zero for y and solve for x
plug in a zero for x and solve for y
m = x2 − x1y2 − y1
Monica graphed y = -3x + 4. If the slope were multiplied by -2 and the y-intercept were shifted down 6 units, then which of the following equations may be used to represent the changes?
y = -2x + 6
y = 6x - 2
y = 3x - 8
y = -5x + 10
Connor has sold 15 cups of lemonade at his stand and will sell 5 more cups per hour. Write an equation to represent this situation.
y = 10x + 5
y = 20x
y = 15x + 5
y = 5x + 15
Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?
y = 150 + 40
y = 40x + 150
y = 150x + 40
y = 40 + 150x
A holiday meal costs $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs, including delivery, for x people?
y = 12.5x + 30
y = 12.5 + 30
y = 30x + 12.5
y = 30 - 12.5x
the set of ordered pairs shown below?
{(−15, 12), (−5, 8), (5, 4), (10, 2)}
28, 14, 7, 3.5...
(7p + 4p3 - 8) - (-3p2 + 2 - 9p)
y=x2+11x+10
y ≤ 2x + 2
y ≤ 2x + 2
y ≤ 2x + 2
What kind of graph is this?
Linear
Quadratic
Exponential
Which strategy can I use to solve this problem?
Solve Systems
Linear Regression
Quadratic Regression
Exponential Regression
What strategy should be used to solve this problem?
Proportions
Graph Match
Regression
Solve Systems
F
G
H
J
What type of function am I looking for?
Quadratic
Parabola
Exponential
Linear
What does the number 1,024 stand for?
Decay Factor
Growth Rate
Percent
Starting Value
How do you change a percent to a decimal?
Move the decimal point two spaces to the right.
Move the decimal point two spaces to the left.
Move the decimal point one space to the right.
Move the decimal point one space to the left.
What is the correct function?
A
B
C
D
What are zeros?
x-intercepts
roots
solutions
Which strategy can be used to solve this problem?
Nsolve
Graph
Solve Systems
(Hint: Use control-t or graph trace to find zeros!)
F
G
H
J
What is causation?
The tendency for two variables to change together or in opposite ways
A set of data with two variables
When the change in one quantity causes the change in another
A
B
C
D
Which inequality symbol means greater than?
>
<
Which strategy will help you solve this problem?
Solve Systems
Graph & Match
nSolve
F
G
H
J
Which equation should be used for this problem? (Hint: Look for a key word!)
a(1 - %)x
a(1 + %)x
A
B
C
D
In the equation f(x)=a(b)x, what is b called when b>1?
Growth Rate (increase)
Decay Factor (decrease)
In the equation f(x)=a(b)x, what is b called when b<1?
Growth Rate (increase)
Decay Factor (decrease)
F
G
H
J
(Hint: Compare the values in your calculator!)
A
B
C
D
R: {0, 1, 2, -4}
R:{-4, -3, 1}
R:{1, -3, -4}
R: {1, -3, -4, 1}
Simplify: 7p0
7
1
simplified
7p
16c3d3
2x2z4
3x2y5z4
√96
Simplify the radical...
√20a²b⁴
2ab²√5
4ab²√5
5ab²√2
2a²b²√5
Cary: y = x + 3
Cary: y = 3x + 1
x+y=120
4x+3y=120
3x+3y=120
6xy=120
x = 7 - 2y
2x + y = 5
x+y=87
1.5x+0.5y=87
1.5x+0.5y=87
x+y=87
