ACT Test Prep. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.

Transcription

1 Name: Class: Date: ID: A ACT Test Prep Multiple Choice Identify the choice that best completes the statement or answers the question.. 80 is % of what number? 8 d Solve ( 8 x) = 6x +. d.. The first five batters on a softball team s lineup have the following numbers of hits for the season: 8,, 68, 6, 6. What is the mean number of hits for these five players? d A 0-pound person contains approximately pounds of the element cobalt. Express this weight of cobalt in scientific notation d Which of these expressions represents the greatest number? + ( ) d. 6 ( ) ( ) + 6. A toy maker has 6 yards of fabri He wants to make five stuffed animals that each require 8 How many yards of fabric will he have left? yd d. yd 8 yd 8 yd 8 yd yard of fabri =? d.

2 8. Solve 0.( 0. x) = d Selena has eight quarters, five dimes, and three nickels in her pocket. If one coin is selected at random, what is the probability that it will not be a quarter? 0. When Alex joined a discount CD club, he was allowed to buy 0 CDs at $0.0 each. If he buys one CD per month for the next year at $.9 each plus $.0 shipping and handling, what will be the average price for all the CDs he purchased? $0. d. $0. $0. $0.0 $ =? d. 6. Factor 9x 0x +. Ê ( x ) ( x + ) d. ( x ) x ˆ Á ( x ) ( x 0) ( x + ) d. ( x + ). A rectangle is three times as long as it is wid Write an expression for the perimeter of the rectangle in terms of, its length. d Ê x y Á ˆ 0 x y x y =? x 6 d. x y x y x y x

3 . A rectangle with length x and width x + has an area of 6 square units. Find x. 9 d. or 6. An equilateral triangle with sides of length s has an area equal to s. Find the length of one side of an equilateral triangle if its area is square units. d For any triangle with sides of lengths a, b, and c, the area is given by the formula A = s( s a) ( s b) ( s c), where s is equal to one-half the length of the perimeter. What is the area of a triangle in square units with sides of lengths,, and? d Solve x +. x or x d. x x or x x x 9. Find the radius of circle C if m PQR = and the length of arc PR is 8π. d If quadrilateral ABCD is a square of area 98 square meters, find AC. m d. m m m m

4 . A rhombus has diagonals of lengths 8 feet and feet. Find its are 0 ft d. ft 8 ft 6 ft 6 ft. A hemisphere of radius inches sits on top of a cylinder of radius inches. The entire solid is inches tall. What is the volume of the entire solid? 99π in d. π in 6π in 08π in π in. An equilateral triangle has sides of length 6. What is the length of a median of the triangle? d. 6. A triangular prism has a base that is a right triangle with legs and feet long. The prism is 0 feet tall. What is its volume? 600 ft d. 0 ft 00 ft 0 ft 6 ft. If the diagonals of a quadrilateral are perpendicular and congruent, then the quadrilateral must be which of the following? parallelogram d. rhombus kite none of the above square 6. Find the smallest positive value of x such that sin x =. π π d. 0 π π 6 π 6. If sec β =, find sin β. d. 8. Which of the following equations represents a line has slope and passes the point at (, )? x + y = d. x + y = x y = x y = x + y =

5 9. What is the distance between the points at (, ) and (, )? d Which of the following equations represents a line that passes through point (, ) and (, )? x + y = d. x + y = x y = x y = 8 y x =. What is the slope of the line whose equation is x y = 0? d.. The roots of the quadratic equation y = x x x + 8x are,, and. Which of the following is an equivalent statement? The given equation has relative maxima or minima at x =,, and. There are only three ordered pairs that satisfy the given equation. The maximum points of the give equation occur at x =,, and. d. The graph of the given equation crosses the y-axis at,, and. The graph of the given equation crosses the x-axis at,, and.. One parallel side of an isosceles trapezoid lies along the x-axis. Three vertices of the trapezoid have coordinates (0, 0), (a, b), and (c, 0). What are the coordinates of the fourth vertex? Ê Á c a, b ˆ d. Ê Á a + b + c, 0 ˆ Ê Á c, b ˆ Ê Á a + c, b ˆ Ê Áa c, bˆ. Three quarters of Andre s collection of coins is pennies. Of the remaining coins, are quarters. If there are 80 coins in his collection, what is the value of the quarters? $.0 d. $.00 $9. $.0 $.00 Ê ˆ. Evaluate a a b Á when a = and b = 8 d.

6 6. Simplify a b a b a b d. a b a b a + b a + b. Factor 6x. ( 6x ) ( x ) d. ( x ) ( x + ) ( x + ) ( 8x ) ( x ) ( x ) ( 8x + ) 8. The surface area of a rectangular prism with height h and base of length and width w is given by the formula h( + w) + w. If a rectangular prism with a base of length 6 feet and width feet has a surface area of square feet, find its height. 8. ft d. 9 ft 0. ft 0 ft 9. ft 9. a a =? a a d. a a a 6 a a a 0. Factor 6x x. ( 6x ) ( x + ) d. ( x + ) ( x + ) ( x ) ( x + ) ( x + ) ( x ) ( x ) ( x + ). Sally has coins, all dimes and nickels, that have a total value of $.00. How many nickels does she have? d If A = and B =, find A B. d

7 . Which of the following is a root of y = x x x 9? d i i =? 9 i d. + i + i i + i. Find the perimeter of the kite shown below if AP = 6, BP =, and DP =. 8 d Which of the following transformations gives an image that is similar but not congruent to the original figure? dilation by a scale factor of d. rotation translation glide reflection reflection. The diagonal of a rectangle forms a 0 angle with one side of the rectangl If the diagonal has measure 0, what is the area of the rectangle? square units d. 0 square units square units. square units 0 square units 8. A 0-foot board is used as a ramp from a doorway down to the ground. If the vertical drop from the doorway to the ground is 9 inches, which expression gives the measure of the angle the ramp makes with the ground? sin 0.9 d. tan 0.0 cos 9 0 sin 0.0 tan 0.

8 9. What is an equation of the circle with center at (0, ) and a diameter 6? x + Ê Á y + ˆ = 9 d. x + Ê Á y ˆ = 0 x Ê Á y ˆ = 9 x + Ê Á y ˆ = 6 x + y 6y = 0 0. What is an equation of the line perpendicular to the graph of y = x + that passes through the point at (, )? x + y = 8 d. x y = x y = x y = 0 x + y = 8