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Algebra 1 – EOC Review – NO CALCULATOR
1
1. Select the expression that is equivalent to 𝑔2 − 144
a. (𝑔 − 12)2
b. (𝑔 − 72)2
c. (𝑔 − 8)(𝑔 + 18)
d. (𝑔 − 12)(𝑔 + 12)
2. The graph of 𝑓(𝑥) is shown below. How will the graph of 𝑓(𝑥) – 1 change the picture?
3. The graph of 𝑔(𝑥) is shown below. How will the graph of 𝑔(𝑥 − 2) change the picture?
4. Simplify: (𝑥4 + 2)(𝑥2 + 3𝑥)
a. 𝑥6 + 3𝑥5 + 2𝑥2 + 6𝑥
b. 𝑥4 + 2 + 𝑥2 + 3𝑥
c. 𝑥8 + 3𝑥4 + 2𝑥2 + 6𝑥
d. 𝑥6 − 3𝑥5 − 2𝑥2 − 6𝑥
a. The new graph will have a vertex at (1,1)
b. The new graph will have a vertex at (1, −1)
c. The new graph will be shifted right 1 space
d. The new graph will be shifted left 1 space
a. The new graph will have a vertex at (−1, −2)
b. The new graph will have a vertex at (−1, −6)
c. The new graph will have a vertex at (−3, −4)
d. The new graph will have a vertex at (1, −4)
Name: Date: _______
Algebra 1 – EOC Review – NO CALCULATOR
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5. Simplify: (𝑥3 + 2𝑥)(𝑥 + 2𝑥2)
a. 𝑥3 + 2𝑥6 + 2𝑥 + 4𝑥2
b. 𝑥3 − 2𝑥6 − 2𝑥 − 4𝑥2
c. 𝑥4 + 2𝑥5 + 2𝑥2 + 4𝑥3
d. 𝑥4 − 2𝑥5 − 2𝑥2 − 4𝑥3
6. Find the zero(s) of the equation: 𝑦 = 𝑥2 + 2𝑥 − 35
a. 5 and 7
b. -5 and -7
c. -5 and 7
d. 5 and -7
7. Find the zero(s) of the equation: 𝑦 = 𝑥2 + 14𝑥 + 48
a. 8 and 6
b. -8 and -6
c. -8 and 6
d. 8 and -6
8. Consider the expression (𝑥2 − 16)(𝑥 + 2) Select three values of x for which (𝑥2 − 16)(𝑥 + 2) = 0
a. -32
b. -16
c. -4
d. -2
e. 0
f. 2
g. 4
h. 8
9. Evaluate 𝑓(0)without a calculator: (𝑥 − 1)2 − 1
a. 0
b. 1
c. -1
d. 2
10. Evaluate 𝑓(−2) without a calculator: 𝑥2 − 𝑥
a. -2
b. 2
c. 0
d. 6
Name: Date: _______
Algebra 1 – EOC Review – NO CALCULATOR
3
11. Find the rate of change between 𝑥 = 5 and 𝑥 = 8
a. 4
b. 1
c. -1
d. -4
12. Using the same graph, find the rate of change between
𝑥 = 4 and 𝑥 = 9.
a. 5
b. -5
c. 1
d. -1
13. What is the x-value of the solution to the
system of linear equations represented in the
graph below?
a. 𝑥 = 2
b. 𝑥 = −1
c. 𝑥 = 0
d. 𝑥 = 1
14. What is the first step that should be used to isolate the variable and maintain balanced equation for the
equation 7𝑥 + 9 = 23?
a. 7𝑥+9
7=
23
7
b. 7𝑥 + 9 − 9 = 23 − 9
c. 7𝑥 + 9 + 9 = 23 + 9
d. 7𝑥 + 9 − 7 = 23 − 7
Name: Date: _______
Algebra 1 – EOC Review – NO CALCULATOR
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15. The graphs of 𝑓(𝑥)and 𝑎(𝑥) are given. Use the
graph to find the solution to the equation 𝑓(𝑥) =𝑎(𝑥).
a. 𝑥 = 1
b. 𝑥 = 2
c. 𝑥 = −2
d. 𝑥 = 0
16. The graph of two functions is shown on a coordinate
plane.
Select two values of x for which f(x) = g(x)
a. -2
b. -1
c. 0
d. 1
e. 3
f. 4
17. The equation 𝐴 = 1750(1.04)𝑥 represents an account balance t years after the account was created. Which
statement is correct?
a. The account balance will decrease 0.04% each year.
b. The account balance will increase 0.04% each year.
c. The account balance will decrease 4% each year.
d. The account balance will increase 4% each year.
Name: Date: _______
Algebra 1 – EOC Review – NO CALCULATOR
5
18. Consider the expression (𝑥2 − 4)(𝑥 + 3). Select 3 values of x for which (𝑥2 − 4)(𝑥 + 3) = 0.
a. -4
b. -3
c. -2
d. 2
e. 3
f. 4
19. The equation for the speed of a ball that is thrown straight up in the air is given by 𝑣 = 46 − 32𝑡 where v
is the velocity (feet per second) and t is the number of seconds after the ball is thrown. What does the y-
intercept represent in this context?
a. The y-intercept indicates that when the ball was released at t = 0, it was thrown upward at 46 feet
per second.
b. The y-intercept indicates that when the ball was released at t = 0, it was thrown upward at 32 feet
per second.
c. The y-intercept indicates that when the ball was released at t = 1, it was thrown upward at 46 feet
per second.
d. The y-intercept indicates that when the ball was released at t = 1, it was thrown upward at 32 feet
per second.
20. Use the graph shown below to predict the cost
of 8 pairs of shoes, before tax.
a. $72.00
b. $84.00
c. $96.00
d. $108.00
Name: Date: _______
Algebra 1 – EOC Review – NO CALCULATOR
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21. Chase is constructing a table that satisfied the definition of a function.
Input - 8 18 0 2 13 9 -2
Output -24 2 -7 -4 -2 15 18 10
Which number(s) can be placed in the empty cell so that the table of values satisfies the definition of a
function? Select all that apply.
a. -3
b. 2
c. -8
d. 4
e. 13
22. Determine whether correlation and/ or causation occurs for the following scenario: Most students tend to have a
higher GPA when they spend less time watching TV.
a. There is a negative correlation between GPA and hours spent watching TV; therefore, there is causation.
b. There is a positive correlation between GPA and hours spent watching TV; therefore, there is causation.
c. There is a negative correlation between GPA and hours spent watching TV; but there is no causation, since
it is not always the case.
d. There is a positive correlation between GPA and hours spent watching TV; but there is no causation, since it is not always the case.
Name: Date: _______
Algebra 1 – EOC Review – NO CALCULATOR
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1. While shopping Sofia finds a dress, she likes at a discounted price. The price on the tag before the
discount is p dollars. She must pay sales tax on the discounted price of the dress. Sofia calculates that
she must pay 𝑝 − 0.1𝑝 + 0.05(0.9)𝑝 to buy the dress.
What does the 0.9𝑝 represent?
a. The total amount that Sofia must pay to buy the dress
b. The price of the dress after the discount, but before adding sales tax
c. The price of the dress after adding sales tax, but before taking the discount
d. The amount of sales tax owed.
2. Javier has a part time job and saves $10 of his hourly pay for the purchase of a new laptop that costs
$648. He has $80 saved already.
Which inequality represents the number of hours, x, Javier must work to buy the laptop?
a. 10𝑥 + 80 ≥ 648
b. 10𝑥 + 80 ≤ 648 c. 10 + 80𝑥 ≥ 648 d. 10 + 80𝑥 ≤ 648
3. Which situation can be modeled by the linear function?
a. The cost of living in a particular city doubles every 10 years.
b. Repeat customers of a neighborhood restaurant receive a coupon for $10 off on a purchase of
$100.
c. A real estate developer plans to increase the number of businesses in a shopping district by 15%.
d. The employees at a local hardware store earn a $2-per-hour wage increase every year they work
for the store.
4. The cost of renting a car from Big Cars includes an administration free and a fee for each mile driven.
This is modeled by 𝑓(𝑥) = 0.23𝑥 + 30
What is the cost per mile?
a. $0.23
b. $0.53
c. $30.00
d. $30.23
5. Which of the following relations is NOT a function?
a. {(1,5). (3, −1), (7,9)}
b. {(1,5), (2,5)}
c. {(1,1), (2,2), (3,3)} d. {(5,1), (5,2)}
Name: Date: _______
Algebra 1 – EOC Review – NO CALCULATOR
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6. The graph on the coordinate plane shows the function 𝑓(𝑥) = |𝑥|.
Which graph shows the graph of 𝑓(𝑥 + 1) − 3
a.
b.
c.
d.
Name: Date: _______
Algebra 1 – EOC Review – NO CALCULATOR
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7. Which graph below would match the situation described?
A car travelling 23mi/h accelerates to 45mi/h in 5 seconds. It maintains that speed for the next 5 seconds, and then
slows to a stop during the next 5 seconds.
a.
b.
c.
d.
8. What are the intercepts of the linear function shown?
a. X intercept: -2
Y intercept: -2
b. X intercept: -2 Y intercept: 4
c. X intercept: 2 Y intercept: 4
d. X intercept: 2 Y intercept: -4
9. An economist graphs the average price of houses versus average household income in a town over a number of years.
Which correlation coefficient makes sense for this relationship?
a. -0.94
b. -0.15
c. 0.15
d. 0.94
EOC Practice – NO CALCULATOR
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10. The function h(t) gives the height in feet of a ball t seconds after it is thrown upwards from the roof of a 64-foot tall building. How many
seconds after the ball is thrown does it reach it’s maximum height? What
is the maximum height?
a. The ball reaches a maximum height of 64 feet 0 seconds after it
is thrown.
b. The ball reaches a maximum height of 96 feet 1 second after it is
thrown.
c. The ball reaches a maximum height of 100 feet 1.5 seconds after
it is thrown.
d. The ball reaches a maximum height of 104 feet 1.5 seconds after
it is thrown.
11. What is the solution of the system of equations shown in the graph?
a. (1,0)
b. (-1, -2)
c. (-3,0)
d. (-1, 2)
12. The table shows the values of the functions f(x) and g(x) for different values of
x. Based on the table, what must be the solution(s) of the equation f(x) = g(x)?
Select two answers.
a. (8,8)
b. (-2, -6)
c. (0, -1)
d. (-1, -1)
e. (2, 4)
f. (6, 8)
x f(x) g(x)
-4 -8 0
-2 -6 3
0 -1 -1
2 4 6
6 8 8
EOC Practice – NO CALCULATOR
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13. A ball is thrown intro the air from the edge of a 48-foot high
cliffs so that it eventually lands on the ground. The graph below
shows the height, y, of the ball from the ground after x seconds.
For which interval is the ball’s height always decreasing?
a. 0 ≤ 𝑥 ≤ 2.5
b. 0 < 𝑥 < 5.5
c. 2.5 < 𝑥 < 5.5
d. 𝑥 ≥ 2
14. What is the range of the function shown below?
a. 𝑥 ≤ 0
b. 𝑥 ≥ 0
c. 𝑦 ≤ 0
d. 𝑦 ≥ 0
15. A car leaves Columbia and travels east towards Knoxville. The equation D = 280 – 62t can be used to
represent the distance, D, from Columbia after t hours. In this equation the 62 represents:
a. The cars distance from Knoxville
b. The speed of the car
c. The distance between Columbia and
Knoxville
d. The number of hours driving
16. What type of function could represent the following situation: “The cost of a cell phone service is $40 plus
20 cents per minute”?
a. Linear
b. Quadratic
c. Exponential
d. Cubic
17. The value of a car depreciates at a rate of 15% per year after it’s purchased.
a. Linear
b. Quadratic
c. Exponential
d. Cubic
EOC Practice – NO CALCULATOR
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18. An investment is earning 5% interest compounded quarterly. The equation represents the total amount of
money, A, where P is the original investment, r is the interest rate, t is the number of years and n represents
the number of times per year the money earns interest. Which graph could present this investment over at
least 50 years?
a.
b.
c.
d.
19. Given the box plot shown which of the following represents the third quartile for this data set? a. 12
b. 18
c. 6
d. 19
20. Given the box plot shown below which of the following represents the range of this data set?
a. 110
b. 40
c. 60
d. 75
21. Which algebraic expression represents the perimeter of this triangle?
a. 15𝑥
b. 11𝑥 + 3
c. 12𝑥 + 3
d. 12𝑥3 + 3
EOC Review – NO CALCULATOR
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