act math practice group challenge

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 3pC. 0.15p x 0.20pE.

B. 0.15p + 0.20pD. 0.15p + 0.20(2p)

0.15

0.20(2 )

p

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?A. 0.15 x 3pC. 0.15p x 0.20pE. 0.15

0.20(2 )

p

p

B. 0.15p + 0.20pD. 0.15p + 0.20(2p)

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?

30100% 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 ReasoningIf b > 0 and , which of the following

must be true?

A. C.

B. D.

E.

6 2 4a bc

3 2ac

b

3 2ac

b

2 3ac

b

2 3ac

b

3

2

acb

Q6:

x=-4

Q7:

x=2

Q8:

X=5

Q 9:

Q 10:

Q11:

Q 12:

Q13:

Q 14:

Q 15:

Q 16:

Q 17:

Q 18:

Q 19:

Q 20 :

Q 21:

Q 22 :

Q 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 < 7b) -7 < x < 3c) -4 < x < - 21d) 7 < x < -3

Q 28:If x²- 4x – 21 =0, then which of the

following is true? a) -3 < x < 7b) -7 < x < 3c) -4 < x < - 21d) 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