Download ACT Prep Session #1

ACT MATH PRACTICE
GROUP CHALLENGE
Q1:
In a group of 3 numbers, the second
number is 3 less than 4 times the
first number, and the third number
is 6 more than twice the first. If the
second number is 13, what is the
third number?
c=14
Q2:
A factory produces cans of mixed nuts. Each can
contains p ounces of peanuts, and twice as many
ounces of cashews, almonds, and brazil nuts
combined. Peanuts cost 15 cents an ounce, and
all other nuts cost 20 cents an ounce. Which of
the following expresses the cost of a can of nuts
in dollars?
A. 0.15 x 3p
B. 0.15p + 0.20p
D. 0.15p + 0.20(2p)
C. 0.15p x 0.20p
E. 0.15 p
0.20(2 p)
Q2:
A factory produces cans of mixed nuts. Each can
contains p ounces of peanuts, and twice as many
ounces of cashews, almonds, and brazil nuts
combined. Peanuts cost 15 cents an ounce, and all
other nuts cost 20 cents an ounce. Which of the
following expresses the cost of a can of nuts in
dollars?
B. 0.15p + 0.20p
A. 0.15 x 3p
D. 0.15p + 0.20(2p)
C. 0.15p x 0.20p
E.
0.15 p
0.20(2 p)
Q3:
Jack bought a painting for $200. A year
later, a friend bought it from him for
$170. What percent of the original
price did Jack lose in the transaction?
30
 100%  15%
200
Q4:
Casey scored 150, 195, and 160 in 3
bowling games. What must she score
on her next bowling game if she wants
to have an average score of exactly
175 for the 4 games?
s=195
Q5: Algebraic Reasoning
If b > 0 and 6a  2bc  4 , which of the
following must be true?
3a  2
A. c 
b
3a  2
B. c 
b
E.
3a
c
b2
C.
2  3a
c
b
D.
2  3a
c
b
Q6:
x=-4
Q7:
x=2
Q8:
X=5
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23:
Q 24:
If f(x) = - 6x²+9, then f(-2)=?
f(-2) = - 15
Q 25:
John wants to make fruit salad. He has a
recipe that serves 6 people and uses 4
oranges, 5 pears, 10 apples, and 2 dozen
strawberries. If he wants to serve 24 people,
how many pears will John need?
20 pears
Q 26:
What is the area in the standard (x,y)
coordinate plane of a triangle with vertices at
(1,2), (-6,2), and (1,-5).
A = 24.5
Q 27:
Jimmy’s school is 1.2 miles from his house,
on the same street. If he walks down the
street directly from the school to his house,
he passes a candy store and a grocery store.
The candy store is 0.35 miles from the
school, and the grocery store is 0.67 miles
from the candy store. How many miles is it
from the grocery store to Jimmy’s house?
0.18 miles
Q 28:
If x²- 4x – 21 >0, then which of
the following is true?
a) -3 < x < 7
b) -7 < x < 3
c) -4 < x < - 21
d) 7 < x < -3
Q 28:
If x²- 4x – 21 =0, then which of the
following is true?
a) -3 < x < 7
b) -7 < x < 3
c) -4 < x < - 21
d) 7 < x < -3
Q 29:
During the close out sale at an outlet boutique
the prices decreased by 30%the first week and
the second week the prices decreased by 50%.
What was the overall percent decrease in
prices?
65%
decrease
Q 30:
A rectangle has side lengths in ratio
of 3:4. If the area is 48 square
inches, how long is the longer side?
8 inches