Name____________________________ Per______ Date______________
1.) Which of the following is an equivalent form of
x + x(x + x)?
a. 4x
b. x2 + 2x
c. 2x2 + x
d. 4x2
e. x4
2.) In the formula d = rt, d represents distance in miles,
r represents average speed in miles per hour, and t
represents time in hours. What is an automobile’s
average speed, in miles per hour, if it travels 60
miles in 1 ½ hours?
a. 30
b. 40
c. 60
d. 90
e. 120
3.) An earring manufacturing company has fixed costs
of $10,000 per month and productions costs of
$0.60 for each pair of earrings it makes. If the
company produces x pairs of earrings in a month,
which of the following expressions represents the
total of the company’s monthly costs?
a. $10,000x
b. $10,000 + x
c. $10,000x + $0.60
d. $10,000 + $0.60x
e. ($10,000 + $0.60)x
4.) For what value of x is the equation 2(x – 6) + x = 18
true?
a. 15
b. 10
c. 8
d. 4
e. 2
5.) (3x + 2)(5x – 1) is equivalent to:
a. 20x2
b. 8x + 1
c. 15x2 – 2
d. 8x2 + 4x + 1
e. 15x2 + 7x – 2
6.) For the function h(x) = 4x2 – 5x, what is the value of
h(-3)?
a. -93
b. -9
c. 21
d. 51
e. 159
7.) One neon sign flashes every 6 seconds. Another
neon sign flashes every 8 seconds. If they flash
together and you begin counting seconds, how
many seconds after they flash together with they
next flash together?
a. 48
b. 24
c. 14
d. 7
e. 2
8.) The graph of the equation h = -at2 + bt + c, which
describes how the height, h, of a hit baseball
changes over time, t, is shown below.
height
ACT Algebra 1 Worksheet #2
0
time
If you alter only this equation’s c term, which gives
the height at time, t = 0, the alteration has an effect
on which of the following?
I. The h-intercept
II. The maximum value of h
III. The t-intercept
a.
b.
c.
d.
e.
I only
II only
III only
I and III only
I, II, and III
9.) When a = b and c = d, which of the following
equations must be true?
a. a + b = c + d
b. a + d = b + c
c. a + c = a + b
d. a – c = d – b
e. ad = cd
𝑦8
10.) For y ≠ 0, 𝑦 2 is equivalent to:
a.
b.
c.
d.
e.
1
4
y3
y4
y6
11.) If √2𝑥 − 5 = 1, then x = ?
a. -8
b. 8
c. 9
d. 12
e. 18
12.) Which of the following shaded regions is the graph
in the standard (x, y) coordinate plane of the points
that satisfy the inequality |y| ≤ 10?
a.)
d.)
b.)
e.)
15.) What (x, y) pair is the solution to the system of
equations below?
x+y=0
x–y=0
a. (5, 5)
b. (4, -4)
c. (0, 0)
d. (-3, 3)
e. (-2, -2)
16.) Lines p and q intersect at point (1, 3) in the standard
(x, y) coordinate plane. Lines p and r intersect at (2,
5). Which of the following is an equation for line p?
a. y = 2x + 1
b. y = 2x + 2
c. y = 2x + 3
d. y = 2x + 5
e. Cannot be determined from the given
information
17.) Which of the following is NOT a solution of
(x – 3)(x – 1)(x + 3)(x + 7) = 0?
a. -7
b. -3
c. 1
d. 3
e. 7
18.) For what value of a is x = 3 a solution to the
equation x + 3 = ax + 9?
a. 1.5
b. 1
c. -1
d. -1.5
e. -3
c.)
13.) What is the value of b in the solution of the
equations below?
3a – 2b = 21
a + 3b = -4
a. 17
b. 9
c. 5
d. -3
e. -5
14.) If c, d, and f are nonzero real numbers and cd = f,
which of the following equation for c must always
be true?
a. c = df
𝑑
b. 𝑐 =
𝑓
𝑓
c. 𝑐 = 𝑑
d. c = f – d
e. 𝑐 = √𝑑𝑓
19.) If a2 – b2 = 81 and a – b = 9, then a = ?
a. 12
b. 9
c. 3
d. -3
e. -9
20.) What is the value of |-3| - |7 – 16|?
a. -12
b. -6
c. 6
d. 12
e. 26
21.) How many ordered pairs (x, y) of real numbers will
satisfy the equation 2x – 5y = 6?
a. 0
b. 1
c. 2
d. 3
e. Infinitely many
ACT Algebra 1 Worksheet #2 (w/o MC)
1.) Which of the following is an equivalent form of
x + x(x + x)?
2.) In the formula d = rt, d represents distance in miles, r
represents average speed in miles per hour, and t
represents time in hours. What is an automobile’s
average speed, in miles per hour, if it travels 60 miles in
1 ½ hours?
Name________________ Per______ Date____________
9.) When a = b and c = d, which of the following equations
must be true?
a. a + b = c + d
b. a + d = b + c
c. a + c = a + b
d. a – c = d – b
e. ad = cd
10.) For y ≠ 0,
3.) An earring manufacturing company has fixed costs of
$10,000 per month and productions costs of $0.60 for
each pair of earrings it makes. If the company produces
x pairs of earrings in a month, which of the following
expressions represents the total of the company’s
monthly costs?
4.) For what value of x is the equation 2(x – 6) + x = 18 true?
5.) (3x + 2)(5x – 1) is equivalent to:
6.) For the function h(x) = 4x2 – 5x, what is the value of
h(-3)?
7.) One neon sign flashes every 6 seconds. Another neon
sign flashes every 8 seconds. If they flash together and
you begin counting seconds, how many seconds after
they flash together with they next flash together?
8.) The graph of the equation h = -at2 + bt + c, which
describes how the height, h, of a hit baseball changes
over time, t, is shown below.
𝑦8
𝑦2
is equivalent to:
11.) If √2𝑥 − 5 = 1, then x = ?
12.) Which of the following shaded regions is the graph in
the standard (x, y) coordinate plane of the points that
satisfy the inequality |y| ≤ 10?
13.) What is the value of b in the solution of the equations
below?
3a – 2b = 21
a + 3b = -4
14.) If c, d, and f are nonzero real numbers and cd = f, which
of the following equation for c must always be true?
15.) What (x, y) pair is the solution to the system of
equations below?
x+y=0
x–y=0
16.) Lines p and q intersect at point (1, 3) in the standard (x,
y) coordinate plane. Lines p and r intersect at (2, 5).
Which of the following is an equation for line p?
height
17.) Which of the following is NOT a solution of
(x – 3)(x – 1)(x + 3)(x + 7) = 0?
18.) For what value of a is x = 3 a solution to the equation
x + 3 = ax + 9?
19.) If a2 – b2 = 81 and a – b = 9, then a = ?
0
time
If you alter only this equation’s c term, which gives the
height at time, t = 0, the alteration has an effect on
which of the following?
I. The h-intercept
II. The maximum value of h
III. The t-intercept
20.) What is the value of |-3| - |7 – 16|?
21.) How many ordered pairs (x, y) of real numbers will
satisfy the equation 2x – 5y = 6?
1.) Which of the following is an equivalent form of
x + x(x + x)?
a. 4x
b. x2 + 2x
c. 2x2 + x
d. 4x2
e. x4
2.) In the formula d = rt, d represents distance in miles, r
represents average speed in miles per hour, and t
represents time in hours. What is an automobile’s
average speed, in miles per hour, if it travels 60 miles in
1 ½ hours?
a. 30
b. 40
c. 60
d. 90
e. 120
3.) An earring manufacturing company has fixed costs of
$10,000 per month and productions costs of $0.60 for
each pair of earrings it makes. If the company produces
x pairs of earrings in a month, which of the following
expressions represents the total of the company’s
monthly costs?
a. $10,000x
b. $10,000 + x
c. $10,000x + $0.60
d. $10,000 + $0.60x
e. ($10,000 + $0.60)x
4.) For what value of x is the equation 2(x – 6) + x = 18 true?
a. 15
b. 10
c. 8
d. 4
e. 2
5.) (3x + 2)(5x – 1) is equivalent to:
a. 20x2
b. 8x + 1
c. 15x2 – 2
d. 8x2 + 4x + 1
e. 15x2 + 7x – 2
6.) For the function h(x) = 4x2 – 5x, what is the value of
h(-3)?
a. -93
b. -9
c. 21
d. 51
e. 159
7.) One neon sign flashes every 6 seconds. Another neon
sign flashes every 8 seconds. If they flash together and
you begin counting seconds, how many seconds after
they flash together with they next flash together?
a. 48
b. 24
c. 14
d. 7
e. 2
8.) The graph of the equation h = -at2 + bt + c, which
describes how the height, h, of a hit baseball changes
over time, t, is shown below.
height
ANSWERS
0
time
If you alter only this equation’s c term, which gives the
height at time, t = 0, the alteration has an effect on
which of the following?
I. The h-intercept
II. The maximum value of h
III. The t-intercept
a.
b.
c.
d.
e.
I only
II only
III only
I and III only
I, II, and III
9.) When a = b and c = d, which of the following equations
must be true?
a. a + b = c + d
b. a + d = b + c
c. a + c = a + b
d. a – c = d – b
e. ad = cd
𝑦8
10.) For y ≠ 0, 𝑦 2 is equivalent to:
a.
b.
c.
d.
e.
1
4
y3
y4
y6
11.) If √2𝑥 − 5 = 1, then x = ?
a. -8
b. 8
c. 9
d. 12
e. 18
12.) Which of the following shaded regions is the graph
in the standard (x, y) coordinate plane of the points
that satisfy the inequality |y| ≤ 10?
a.)
d.)
b.)
e.)
15.) What (x, y) pair is the solution to the system of
equations below?
x+y=0
x–y=0
a. (5, 5)
b. (4, -4)
c. (0, 0)
d. (-3, 3)
e. (-2, -2)
16.) Lines p and q intersect at point (1, 3) in the standard (x,
y) coordinate plane. Lines p and r intersect at (2, 5).
Which of the following is an equation for line p?
a. y = 2x + 1
b. y = 2x + 2
c. y = 2x + 3
d. y = 2x + 5
e. Cannot be determined from the given
information
17.) Which of the following is NOT a solution of
(x – 3)(x – 1)(x + 3)(x + 7) = 0?
a. -7
b. -3
c. 1
d. 3
e. 7
18.) For what value of a is x = 3 a solution to the equation
x + 3 = ax + 9?
a. 1.5
b. 1
c. -1
d. -1.5
e. -3
c.)
13.) What is the value of b in the solution of the
equations below?
3a – 2b = 21
a + 3b = -4
a. 17
b. 9
c. 5
d. -3
e. -5
14.) If c, d, and f are nonzero real numbers and cd = f,
which of the following equation for c must always
be true?
a. c = df
𝑑
b. 𝑐 =
𝑓
𝑓
c. 𝑐 = 𝑑
d. c = f – d
e. 𝑐 = √𝑑𝑓
19.) If a2 – b2 = 81 and a – b = 9, then a = ?
a. 12
b. 9
c. 3
d. -3
e. -9
20.) What is the value of |-3| – |7 – 16|?
a. -12
b. -6
c. 6
d. 12
e. 26
21.) How many ordered pairs (x, y) of real numbers will
satisfy the equation 2x – 5y = 6?
a. 0
b. 1
c. 2
d. 3
e. Infinitely many