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WorksheetsSHS Practice Algebra EOC
Total questions: 144
Worksheet time: 10hrs 12mins
Find the slope of the line that passes through the points (2, 4) and (6, 12)
(a)
Find the slope of the line.
(a)
What is f(0) for the function f(x)=2x+3
2x
-3
3
10
Find f(6)
10
15
20
25
What are the x-intercepts of the graph?
(2, 0)
(0, -2)
(-1.225, -4.25) and (1.225, -4.25)
(-1.887, 0) and (1.887, 0)
What is the y-intercept of the graph?
(-2,5)
(1,0)
(0,1)
(-3.104, 0)
What best describes the increasing/decreasing of the graph?
decreasing, increasing
decreasing, increasing, decreasing
increasing, decreasing, increasing
increasing, decreasing

When is the function decreasing?
(30, 55)
(40, 60]
(15, 40)
(60, -40)
Remember: Domain is x
(x,y)
R: {0, 1, 2, -4}
R:{1, -3, -4}
R:{1, -3, -4}
Remember: Range is y!
Remember: Domain is the "x" values from left to right
Remember DOMAIN is "x" values that go left to right.
Choose the correct inequality for this graph.
Which of the following is the graph of y≥ -3x +4
What graph matches this inequality?
Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on a taxi ride.
Which inequality best describes how many miles Katie can ride in this taxi?
1.75 + 0.65m < 10
1.75 + 0.65m > 10
1.75m + 0.65 < 10
1.75m + 0.65 > 10
The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?
6x + 8 ≥ 42
8x + 6 ≤ 42
6x + 8 > 42
8x + 6 < 42
y < x + 4
y ≥ x + 4
y ≥ x + 4
y ≥ x + 3
Solve the system of inequalities by graphing.
Which system of inequalities matches the graph?
x> -2 and y < -4
x< 2 and y> 4
x > 2 and y < 4
x > 2 and y <- 4
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
Cole is doing a basketball challenge for charity. In order to win money for the charity, he needs to score at least 20 points in less than 10 shots. If x is the number of 2-point shots, and y is the number of three point shots, which inequalities below represent the situation?
x + y < 10
2x + 3y ≥ 20
x + y ≤ 10
2x + 3y ≥ 20
x + y ≤ 10
2x + 3y > 20
x + y < 10
2x + 3y > 20
√125 =
5√5
25√5
5√25
5√2
√216 =
6√4
4√6
36√6
6√6
3√18 - 2√2
3√5 + √20 - √45
Write the equation of the quadratic function in Intercept Form using the x-intercepts and ANY point on the graph.. Remember: Intercept form is written as y = a(x-p)(x-q)
y =(x - 1)(x - 3)
y = -1/2(x - 1)(x + 3)
y = 2(x + 1)(x - 3)
y = - 1(x - 1)(x - 3)
What are the green dots called?
axis of symmetry
vertex
parabola
x-intercepts
What are the x- intercepts?
x= 0 and x= -4
x= 0 and x= 4
x = 2 and x = -2
x= 2
What is the quadratic function for the graph in intercept form?
y = (x - 2)(x - 6)
y = - (x - 2)(x - 6)
y = (x + 2)(x + 6)
y = (x + 4)(x - 4)
Write an equation of this graph in intercept (factored) form.
h(x) = (x - 1)(x + 3)
h(x) = (x + 1)(x - 3)
What is a quadratic function in factored (intercept) form with x-intercepts of 5 and -2
f(x) = x2 + 3x -10
f(x) = (x + 5)(x - 2)
f(x) = (x - 5)(x + 2)
f(x) = (x + 1.5)2 - 12.25
Write the equation of the quadratic function in Intercept Form using the x-intercepts and ANY point on the graph.. Remember: Intercept form is written as y = a(x-p)(x-q)
y =(x - 1)(x - 3)
y = -1/2(x - 1)(x + 3)
y = 2(x + 1)(x - 3)
y = - 1(x - 1)(x - 3)
What are the green dots called?
axis of symmetry
vertex
parabola
x-intercepts
What are the x- intercepts?
x= 0 and x= -4
x= 0 and x= 4
x = 2 and x = -2
x= 2
What is the quadratic function for the graph in intercept form?
y = (x - 2)(x - 6)
y = - (x - 2)(x - 6)
y = (x + 2)(x + 6)
y = (x + 4)(x - 4)
Write an equation of this graph in intercept (factored) form.
h(x) = (x - 1)(x + 3)
h(x) = (x + 1)(x - 3)
What is a quadratic function in factored (intercept) form with x-intercepts of 5 and -2
f(x) = x2 + 3x -10
f(x) = (x + 5)(x - 2)
f(x) = (x - 5)(x + 2)
f(x) = (x + 1.5)2 - 12.25
What are the x-intercepts for g(x) = (x + 8)(x + 2)
8 and 2
(8, 2)
-8 and - 2
(-8, -2)
Factor:
x2 + 11x + 24
(x + 6)(x + 4)
(x + 12)(x + 2)
(x - 8)(x - 3)
(x + 8)(x + 3)
s(t) = –16t2 + 64t + 80.
What will be the object's maximum height?
A lizard is jumping across the water in search of food. The equation h = -12t2 + 6t models the lizard's height in feet above the water t seconds after he jumps. How long after jumping is he back on the water?
0.1 seconds
0.25 seconds
0.50 seconds
0.75 seconds
1 second
The function f(t) = -5t2+20t + 60 models the approximate height of an object t seconds after it is launched. How many seconds does it take the object to hit the ground?
4 seconds
-2 seconds
6 seconds
9 seconds
h(t) = -16t2 +128t
When will the object reach its maximum height?
h = -16t2 + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?
The length of a rectangular garden is 10 yards more than its width. If the area of the garden is 600 square yards, find the length & width of the garden.
The length is 30 & the width is 20
The length is 20 & the width is -30
The length is 60 & the width is 10
The length is 24 & the width is 25
A=1200(.85)6
A=10(1.01)3
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
In an exponential function, what does the 'a' represent?
SLOPE
RATE OF CHANGE
Y-INTERCEPT
COMMON RATIO
Given y=3x determine the y-intercept
1
3
0
y
What is the asymptote of this function?
y = 0
y = 5
y = 2
y = 1
Pick the equation that is exponential decay
y = 2000(0.88)x
y = 0.5(1.88)x
y = 10(3/2)x
y = 0.8(13)x
Which function will show exponential behavior?
F(x) = (4.3)x
or
G(x) = 4.3x + 9
9x+8 = 81
How many hours does a typical teen spend on social media a day?
4 hours
7 hours
9 hours
11 hours
Interest Rate: 5.45%
Time: 19 years
Compounded Quarterly
State the future account balance.
Interest Rate: 3.75%
Time: 25 years
Compounded Monthly
State the future account balance.
Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)
(0, -1)
(6, 1)
(1, 6)
(0, 1)
y = 12x + 4
y = 12x +14
Are these lines parallel?
y = (-1/2)x + 1
y = (1/2)x - 5
YES
NO
If two lines are perpendicular to each other their slopes are ____________
the same.
negative reciprocals of each other.
y = 4x + 2
y = (-1/4)x + 12
y = (1/2)x + 2
y = -2x + 13
m = 3
y = -6x + 2
These lines are...
y = 3/2x + 9
These lines are...
4,2,7,4,3
Find the mean of the numbers below:
12, 8, 14, 5, 1, 3, 0, 8, 10, 11
7.2
8
9
7.4
What is the correlation for the following Scatter Plot.
Weak Positive
No Correlation
Strong Negative
Weak Negative
Strong Positive
What is the correlation for the following Scatter Plot.
Weak Positive
No Correlation
Strong Negative
Weak Negative
Strong Positive
What is the correlation for the following Scatter Plot.
Weak Positive
No Correlation
Strong Negative
Weak Negative
Strong Positive
Given the following Scatter Plot, select the option that is most likely the r value.
r=.27
r=−.862
r=.934
r=.54
Given the following Scatter Plot, select the option that is most likely the r value.
r=−.45
r=−.981
r=.728
r=.12
Given the following Scatter Plot, select the option that is most likely the r value.
r=−.1
r=−.981
r=.92
r=.765
Correlation coefficient is the statistic that measures the strength and direction of a linear association between two quantitative variables.
True
False
If r=0, there is a strong correlation.
True
False
r = -0.3 is considered to have...
moderate negative correlation
weak negative correlation
no correlation
strong negative correlation
Estimate the correlation coefficient for this scatterplot.
A) r = -0.9
B) r = 1
C) r = 0.9
D) r = -1
