ACT Past Papers with Answers

Saul goes shopping and decides to buy 4 shirts at a price of $20.08 each. Which of the followiDg expressions gives the total price, in dollais, of the 4 shirts? IL 4(20) + 4(0.08}

Which of the following expressions is eqllivalent to -9? ])( x+9)

Source question 5. Refer to the source image.

Ifx- what is the value of x+l 41

A point at (-6,11) in the standard (x,y) coordinate plane is shifted right 11 units and down 6 units. What are the new coordinates of the point?

If7+4x=31,tben3x- 57

When Jamai purchased a houseplant for his room, it was 4 iuches in height. For the D6xt 6 weeks, the houseplant grew taller at a rate of l- inches per week. Which of the following graphs best represents tbe houseplant's hcight. h inches: versus the numbei of weeks, w, aftcr Jamar purchased the houseplant? DO YOUR FIGURING HERE. 14 12 10 14 12 10 012345 6 w weeks 0 1 23456 w weeks 14 12 10 12 0123456w weeks weeks 14 12 0 123456w weeks

A function h of the variables a and b is defined as h(a,b) - a,

Of the 40 marbles in Dakatai's bag. all are solid in color and 16 are blue. The Probability that he will randomly choose a yellow niarble from the bag is How many yellow marbles are in Dakarai's bag. .

A square and a.rectangle have the same area. The length of the rectangle is 36 centirncters, and the .width of the rectanglc is 4 centimetcrs. What is the length. in centimeters, of a side of the square? DO YOUR FIGURING HERE. 80 12 20 80

Arita played ID 7 softball gatnes. In the first 4 games. she had 2, 3, 1. arjd 3 hits, respectively. In the last 3 games, she had a total of 6 hits. What was her average number of hits per game in the 7 games? 15 13 27

A test has 50 questions and is ivorth 130 points. It consists of x 5-point questions and y 2-point questLOllS. Which of the following systems of equations, whell solved, givcs the numbcr of each type of question that is on the test? x+y-130 x+ y-130 2x+5y= 50 x+ y- 50 5x+2y-130 2x+5y- 50 2x+5y-130 5x-y=130 50

For what value of t is 4.5 - true?

(4a + 7b + 6c) - {6a + 6b - 3c) is equivalent to: -2a+b+9c -2a+b-3c -2ll+13b+9c -2a+13b-3c DO YOUR FIGURING HERE.

What is the least cornmon multiple of 50, 30, and 70 ? 50 105 150 1,050

The number of bricks. B, needed to build a wall of Icngth L feet and llniforni height H fcet can be found by the equation B = ?LH. A wall of uniforni height that is 30 feet long is constructed using 420 brtcks. What is the beight. in feet. of the waLI?

What is the slope of any line parallel to the line 5x+7y=7?

In the figure below. right triangle ￿ABc has an area of 20 square inches, BC is 5 inches long, and ZB is a right angle. What is the Icngth, in inches, of AB ? es

19(-6) + 5{4)1 12 74

Given 6x - expression for y + Sy, which of the following is an x+6y x+5y

The lengths of the corresponding sides of 2 similar right triangles are in the ratio of 2.7. The hypotenuse of the smaller triatkgle is 10 inches long. How many inches long is the hypotenusc of the larger triangle?

Which of the following is equivalent to I . -(3,) 45 14 45 DO YOUR FIGURING HERE. Use the following information to answer questions 29-31 . Kyla purchased 25 pieces of candy from Laszko's Candy Shop. Her purchase consigts of 7 lollipops, 4 candy bars, 10 licorice sticks, and 4 gumballs. The unit price of each candy itetn is showll in the table below. Kyla's purchase, without sales tax, totaled $10.30. Laszko's charges an 890 sales tax on each Purchase, which is calculatcd by rnultiplyirAg the purchase total by 0.08 and rounding to the nearest $0.01. Unit price Candy item Lollipop Candy bar Licorice stick Gumball $0.90 $0.60 $0.10 $0.15

The diameter of a circle is 36 yards, as shown in the figure below. What is the circumference of the circle, in yards? 18 367[ 727[ 3247r 36-4

For all real x, [3(x- 2)], DO YOUR FIGURING HERE. x+ 4x+4 12x+12

Which of the foIlowiDg is a solution statement for the inequality 6x- 6 < 7 * lox ? 13 13 13 16 13

What is the slope of the line through both of the points (5,2) and (9,4) in tbc stalld￿d (x,y) cooxdiThate plane?

The holor aDd ￿inUte hallds of the clock showll below move at constan£ speeds. What is the measure of the angle formed by -the hour alld minute hands at eKacUy 1:30 ? 11 12 10

Which of the following is closest to the length. ill feet, of the support lope? (Note: sin'55°_ 0.82", cos 55° _ 0.57" tan 55°

In the standard {x,y) coordinatc plane, the graph of which of the following equations has the line x - 2 as a vertical 2SymPtote? 4x+3 4x+3 x+2 4x+3 1+2 4x+3 4x+3

The marketing students at Foxt Link Business Academy took a placement test for an accounting class. The mean of the test scores is 100 and the standard deviation is 15. In order to be accepted into the accoullting class, a student n]ust have attained a test score that is at least I standard deviation above the mean. What is the lowest test score a student could attain and still be accepted into the accoulltillg class ? 15 16

In the standard (x,y) coordinate plane, the midpoint of CD is at (5.-7) and point C is at (3.-11). For point D at (a.b), what is the value of a + b ? 10 4S. An airplane flies the 200 miles from Fairhavcn to Locksboro along a straight line in a direction (shown below) that 15 25° clockwise (C ) from due north. To the nearest tnile, Locksboro is how many miles due east and how many miles due north frotTh Fairhaven . (Note: sill 25° _ 0.423. cos 25° _ 0.906) due north to Locksboro Fairhaven due east due north 85 100 141 173 181 181 173 141 100 85

Source question 48. Refer to the source image.

The point (a.b) in the standard (x,y) coordinate plane lies on a curve that is symmctric with respect to the y-axis. Which of the following points must also lie on that curve? DO YOUR FIGURING HERE.

The perimeter of a rectangle is P units and the width is w units. The length of the rectangle is x units longer than the widtb. Which of the following equations expresscs x in terms of P and w ? P-2w P-4w

An angle with measure 8 such that sin 8 13 standard position with its terlljinal side extending into Quadrant II as shown ID the standard (x,y) coordinate plane bclow. What is the value of cos e ? 12 13 is in 13 13 13 12 li 13

Let a and b be real nujnbers. If (a + b) must be trne that: either a or b is zero. a is positive and b is negative. a is negative and b is positive. DO YOUR FIGURING HERE.

In the figure below, lines a and b are parallel, the angle measure y is in degtees, and Zl and £2 have the same casure. In terms of y, which of the following is equivalent to the degree measure of £3 ?

In the figure below, th¢ vcrtices of rectangle BCDE lie on the circle &Dd the vertice5 of rhornbus FGHI are the midpoints of the sides of. rectangle BCDE. Point A is at the cent6r of the circle, rectangle. and Ihombus. DO YOUR FIGURING HERE. The radius of the circle is 4 feet. How long is a side of the rhombus. in feet?

If f(x) = number lines shows the do￿ain of f(g(x)) + l. which of the following -2 0 1 -2 0 1 -2 0 1

Which of the followEDg is equivalent to | x- I l < B ? l<Bandl-x<B l<Bandl-x>B x-l>Bandl-x<B x+l<Bandl-x<B x+l<Bandl-x>B

The area, A, of a circle varies directly with the square of the radius, r. Onc of the following graphs shows the area. A, of a circle as thc radius varies in the (r.A) coordinate plane. Which graph is it? (Note: The (r,A) plane is the standard (x,y) coordinate plane with T along the horizontal axis and A along the vertical axis.) DO YOUR FIGURING HERE.

Susan discovered by trial and error that one root of the equation 2? - 9x + 16x - 12 = 0 is 2. What are the other roots? 23 23 23 23 END OF TEST 2 STOP! DO NOT TURN THE PAGE UNTIL TOLD TO DO SO. DO NOT RETURN TO THE PREVIOUS TEST.