ACT Math 60 questions

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ACT Math April_2013

1 / 60

Harry is paid a regular hourly wage of $12.50 per hour for working up to and including 40 hours in 1 week. For each additional hour he works in a week, Harry is paid twice his regular hourly wage. Harry worked 46 hours this week. What is his pay for this week? (Note: Amounts are before taxes and benefits are deducted.)

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What value of x makes the equation 4(x-6) = 16 true?

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Ayita is helping her uncle center a large framed picture on his living room wall. As shown in the figure below, the rectangular wall is 30 feet long, and the rectangular framed picture is 5 feet high and 8 feet long. The left edge of the frame will be x feet from the left edge of the wall, and the right edge of the frame will be x feet from the right edge of the wall. What is the value of x ?

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What is the solution to the equation 3(2x - 1)=3x+1?

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For nonzero values of x and y, which of the following expressions is equivalent to - ((24 x^4 y^3) /4xy )

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Tristan has 5 pairs of shoes, 6 pairs of pants, and 5 shirts, which can be worn in any combination. He needs to choose a clothes combination to wear to the school dance. How many different combinations consisting of 1 of his 5 pairs of shoes, 1 of his 6 pairs of pants, and 1 of his 5 shirts are possible for Tristan to wear to the dance?

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In Arkansas in the twentieth century, the highest recorded temperature was 120°F and the lowest recorded temperature was -29°F. This highest recorded temperature was how many degrees Fahrenheit greater than this lowest recorded temperature?

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A new operation  is defined on pairs of ordered pairs of integers as follows: (a,b)  (c,d) = (ac + bd) / (ab - cd) What is the value of (3,1)  (4,5) ?

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The function y=2|x-3] is graphed in the standard (x,y) coordinate plane below. One of the following graphs in the standard (x,y) coordinate plane shows the result of shifting the function up 4 coordinate units. Which graph?

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What is the least common denominator of the fractions 4/21, 1/6 , 3/4 ?

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The average of Snumbers is 89. What is the 5th number if the first 4 of the numbers are 78, 92, 96, and 94 ?

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A swimming pool in the shape of a right rectangular prism has length 12 feet and width 14 feet. The volume of water in the pool is 2,520 cubic feet. To the nearest foot, what is the depth of the water in the pool?

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At Hamburger Heaven, Corissa paid less than $15 for her order of x hamburgers and x bags of french fries. Each hamburger cost h dollars, and each bag of french fries cost f dollars. Which of the following expressions represents the amount of money, in dollars, that Corissa should have received back after she paid for her order with $15 ? (Note: There is no tax on food at Hamburger Heaven.)

14 / 60

|8(-6) + 3(2)| =?

15 / 60

A large circle with radius R inches is shown in the figure below; 3 small nonoverlapping circles, each with radius r inches, are removed from the large circle. The shaded region is the area of the large circle remaining after the 3 circles were removed. What is the area, in square inches, of the shaded region?

16 / 60

In the figure below, lines l and m are Parallel, linen is a transversal, and 3 angle Measures are given in degrees, What is the value of x - y?

17 / 60

Which of the following graphs shows the Solution set for the inequality 3x - 5 >= 7 ?

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Given the function S(t) = 3t^2 - 5, what is S(-3) ?

19 / 60

A Circle with Center C is shown below, Points W, x, Y, and Z lie on the circle, The measure of

20 / 60

The table below shows the number of pounds of sugar, flour, and butter required to make 500 of each of 3 types of cookies sold at Van Mert’s Bakery. Let s represent the price of 1 pound of sugar, f the price of 1 pound of flour, and b the price of 1 pound of butter. All prices are in dollars. How many pounds of sugar are required to make 200 chocolate chip cookies?

21 / 60

The table below shows the number of pounds of sugar, flour, and butter required to make 500 of each of 3 types of cookies sold at Van Mert’s Bakery. Let s represent the price of 1 pound of sugar, f the price of 1 pound of flour, and b the price of 1 pound of butter. All prices are in dollars. The bakery has 27 pounds of sugar, 24 pounds of flour, and 20 pounds of butter in stock. What is the maximum number of oatmeal cookies the bakery can make from the ingredients in stock?

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The table below shows the number of pounds of sugar, flour, and butter required to make 500 of each of 3 types of cookies sold at Van Mert’s Bakery. Let s represent the price of 1 pound of sugar, f the price of 1 pound of flour, and b the price of 1 pound of butter. All prices are in dollars. Which of the following expressions gives the price of the sugar, flour, and butter required to make 500 snickerdoodle cookies and 500 chocolate chip cookies?

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In the (a,b) solution to the system of equations below, b=?

5a=3

2a+3b =5

24 / 60

Send It Out mails advertisements for businesses. Two types of machines-stuffing machines and postage machines-are used to process envelopes. Each stuffing machine processes envelopes at the rate of 150 envelopes per minute, and each postage machine processes envelopes at the rate of 4 envelopes per second. Send It Out is currently using 24 stuffing machines. How many postage machines should be used so that the stuffing machines and the postage machines process the same number of envelopes in 1 minute ?

25 / 60

What is the result of the subtraction problem below?

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For what real number value of a is the equation (x^2)^3 (x^4)^5 = x^a true?

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The number 0.003 is 100 times what number?

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Each of the 200 people in a random sample of the 2,500 people at the mall today was asked which, if any, of the following types of pets he or she owns: bird, cat, dog, or fish. All 200 people answered the question. The answers were tallied, and the exact percents of people who own the pets are shown in the diagram below. Because this was a random sample, the percents in the sample are the most likely estimates for the corresponding percents among all the people at the mall today. What estimate does this give for the number of people at the mall today who own dogs but none of the other 3 types of pets?

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Each of the 200 people in a random sample of the 2,500 people at the mall today was asked which, if any, of the following types of pets he or she owns: bird, cat, dog, or fish. All 200 people answered the question. The answers were tallied, and the exact percents of people who own the pets are shown in the diagram below. What percent of the people in the random sample own exactly 1 type of the 4 types of pets?

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Each of the 200 people in a random sample of the 2,500 people at the mall today was asked which, if any, of the following types of pets he or she owns: bird, cat, dog, or fish. All 200 people answered the question. The answers were tallied, and the exact percents of people who own the pets are shown in the diagram below. Suppose 25 additional people at random were asked the question, with the following answers: 15 own fish only, 5 own a cat and a dog only, and 5 own a cat, a dog, and a bird only. Among all 225 people asked, what fraction own fish but none of the other 3 types of pets?

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