PRAXIS Elementary Education: Multiple Subjects Mathmatics (5003) Practice Test Questions, Exams of English Language

Download PRAXIS Elementary Education: Multiple Subjects Mathmatics (5003) Practice Test Questions and more Exams English Language in PDF only on Docsity! PRAXIS Elementary Education: Multiple Subjects Mathmatics (5003) Practice Test Questions (forms 1 & 2) (Answered 00% Correctly) Which of the following is the expanded form of 3,056.45 ? A.(3×1,000)+(5×10)+(6×1)+(4×(1/100))+(5×(1/10)) B.(3×1,000)+(5×10)+(6×1)+(4×(1/10))+(5×(1/100)) C.(3×1,000)+(5×100)+(6×10)+(4×(1/10))+(5×(1/100)) D.(3×1,000)+(5×100)+(6×10)+(4×1)+(5×(1/10)) B.(3×1,000)+(5×10)+(6×1)+(4×(1/10))+(5×(1/100)) Heewon is filling water bottles for a bicycle race. The number of bottles, n, needed for the race is n=2h+1, where h is the number of hours she expects to be racing. Which of the following statements is true about the variables n and h ? A.n is the independent variable, and h is the dependent variable. B.h is the independent variable, and n is the dependent variable. C.Both n and h are dependent variables. D.Both n and h are independent variables. B.h is the independent variable, and n is the dependent variable. Tasha has T books, and Aisha has A books. Aisha has twice as many books as Tasha, and altogether they have 30 books. Which of the following proportions can be used to find out how many books Aisha has? A.A:T=2:3A B.T:A=2:3T C.A:(T+A)=2:3 D.T:(T+A)=2:3 C.A:(T+A)=2:3 A. 84 (The surface area of the three-dimensional figure is the sum of the areas of its faces. The faces of the right triangular prism are a 6-by-5 rectangle, a 6-by-4 rectangle, a 6-by-3 rectangle, and two congruent right triangles, each of which has sides of lengths 4 and 3. The areas of the rectangular faces are, respectively, 6×5, or 30; 6×4, or 24; and 6×3, or 18. The area of each of the triangular faces is (1/2)×3×4, or 6. Therefore, the surface area of the figure is 30+24+18+2×6, or 84.) The net shown above forms a right triangular prism. Which of the following represents the surface area of the right triangular prism? A. 84 B. 92 C. 96 D.120 Utensils:$1.50 Cups:$2.00 Plates:$2.00 Tablecloths:$4.50 Above shows the costs of supplies for a birthday party. Anton buys 6 packages of utensils, 4 packages of cups, 2 packages of plates, and 2 packages of tablecloths. Anton's total purchase is subject to a 7.5% sales tax. How much will the party supplies cost Anton? A.$10.75 B.$23.65 C.$30.00 D.$32.25 D.$32.25 A.3x−5=2 Which of the following is equivalent to (1/4)÷(1/8)? A.(1/4)×(1/8) B.(1/4)×8 C.4×(1/8) D.4×8 B.(1/4)×8 B.6n−2 In the sequence of figures shown, the first term is made of a single square and each successive term is made by adding one cross and one square to the preceding term. To form each square, 4 line segments are needed, and to form each cross, 2 line segments are needed. Which of the following expressions can be used to find the number of line segments needed to form the nth term in the sequence of figures? A.n+6 B.6n−2 C.n^2+3n D.(n+1)^2 The digit 5 is in what place in the number 3.14159 ? A.Thousands place B.Thousandths place C.Hundredths place D.Ten-thousandths place D.Ten-thousandths place Rodrigo left his workplace at 4:50 P.M., and it took him (3/4) of an hour to get home. At what time did Rodrigo get home? A.5:35 P.M. B.5:45 P.M. C.5:55 P.M. D.6:05 P.M. A.5:35 P.M. Rosa left a 20% tip on a restaurant bill of $47.30. What amount did Rosa leave for the tip? A. $0.95 B. $4.73 C. $9.46 D.$14.19 C. $9.46 In the xy-plane, point A has coordinates (2,1) and point B has coordinates (5,1). Which of the following could be the coordinates for point C so that the area of triangle ABC is equal to 9 square units? A.(5,7) B.(5,4) C.(3,4) D.(4,6) A.(5,7) (the triangle that is used as the base and h is the length of the height relative to the side chosen as the base. Since the coordinates of points A and B are given and the segment AB is parallel to the x-axis, the length of side AB can be easily computed, making AB the best choice for the base of the triangle. The length of segment AB is | 5−2 |, or 3 units. Substituting the value of 9 for A and the value of 3 for b in the formula yields 9=(1/2)×3×h; that is, h=6. Therefore, the length of the height of the triangle relative to side AB must be 6. Since AB is parallel to the x-axis, point C must be on the line with equation y=7 or on the line with equation y=−5; that is, it must have a y-coordinate of either 7 or −5. C. 8 Alireza has been reading a 600-page novel at a constant rate. The graph shows the number of pages y he has read after x days of reading. If he continues reading at the same rate, how many days will it take him to read the novel from beginning to end? A. 4 B. 6 C. 8 D.10 1,2,4 ... The first three terms of a certain sequence are shown. Which of the following mathematical relationships could describe the terms of the sequence? Select all that apply. A.The first term is 1. Each subsequent term of the sequence is obtained by multiplying a constant quantity by the preceding term. B.The first term is 1. Each subsequent term of the sequence is obtained by adding a constant quantity to the preceding term. C.The first term is 1. Each subsequent term of the sequence is obtained by adding the preceding term and a quantity that increases by 1 with each new term. D.The first term is 1. Each subsequent term of the sequence is obtained by adding 1 to the square of the preceding term. E.The first term is 1. Each subsequent term of the sequence is obtained by squaring a number that is one greater than the number that was squared to obtain the preceding term. A.The first term is 1. Each subsequent term of the sequence is obtained by multiplying a constant quantity by the preceding term. C.The first term is 1. Each subsequent term of the sequence is obtained by adding the preceding term and a quantity that increases by 1 with each new term. In a certain number, a and b represent digits, and a represents 10^4 times what b represents. B.x ≤ 1 8+24÷4×(6−4) Which of the following is equivalent to the expression shown? A. 5 B.11 C.16 D.20 D.20 Which list of numbers is ordered from least to greatest? ( "¯" means repeating) A.(9/25), 0.35, (2/5), 0.35¯ B.0.35, 0.35¯, (9/25), (2/5) C.(2/5), (9/25), 0.35, 0.35¯ D.0.35¯, 0.35, (9/25), (2/5) B.0.35, 0.35¯, (9/25), (2/5) In a set of number cubes, the length of the edge of each number cube is (2/3) inch. It takes 27 of these number cubes to completely fill a box in the shape of a cube. What is the volume, in cubic inches, of the box? Correct Answer: 8 (27 number cubes fit in the cubical box, there must be 3 layers of number cubes, with each layer consisting of 3 rows of 3 number cubes. With 3 number cubes, each having edge length (2/3) inch, along one edge of the box, each edge of the box is 3×(2/3)=2 inches in length. The volume of the box is thus 2^3=8 cubic inches. Another approach is to find the volume of each number cube first. The volume of each number cube is (2/3)^3, or (8/27) cubic inches. Since there are 27 number cubes in the box, the volume of the box is (8/27)×27, or 8 cubic inches. A salesperson records data consisting of total sales each day for one year. If the least and greatest total sales values are deleted from the data set, which of the following is most likely true about the effect of the deletion? A.The range and mean of the data set will change, but not the median. B.The range and median of the data set will change, but not the mean. C.The median and mean of the data set will change, but not the range. D.The mean, median, and range of the data set will all change. A.The range and mean of the data set will change, but not the median. Which of the following pairs of numbers estimates the number 3.27461 to the nearest tenth and to the nearest thousandth, respectively? A.3.2 and 3.274 B.3.2 and 3.275 C.3.3 and 3.274 D.3.3 and 3.275 D.3.3 and 3.275 Jamal bought a pair of headphones priced at $17.99. If the sales tax rate is 8%, which of the following proportions can be used to find the amount of sales tax x, in dollars, for the headphones? A.(8/17.99)=(x/100) B.(8/17.99)=(100/x) C.(8/100)=(x/17.99) D.(8/100)=(17.99/x) C.(8/100)=(x/17.99) (x−2)(y+1)+(y−1)(x−2) Which of the following expressions is equivalent to the expression shown? A.2y B.(x−2) C.2(x−2) D.2y(x−2) D.2y(x−2) Tony made 1,500 milliliters of lemonade for a party. Which of the following represents the amount of lemonade, in liters, that Tony made? A. 1.5 B. 15 C. 150 D.15,000 A. 1.5 (1 liter= 1,000 milliliters) 5(1/4)% is equivalent to which of the following? A.5.25 B.0.525 C.0.0525 D.0.00525 C.0.0525 2y^2+17x^2+14x^2y+8xy^2+1 Which THREE of the following statements are correct about the algebraic expression shown? A.The coefficients are 2, 17, 14, 8, and 1. B.The variables are x and y. C.There are like terms. D.There are 4 terms. E.The degree of the expression is 3. A.The coefficients are 2, 17, 14, 8, and 1. B.The variables are x and y. E.The degree of the expression is 3. B.3 C.3.5 D.4 D.4 D.1,080 (The lengths, in inches, of the labeled sides in the polygon are 36 inches, 18 inches, 18 inches, and 24 inches. The polygon can be decomposed into two rectangles: one having a length of 36 inches and a width of 18 inches, and the other having a length of 24 inches and a width of 18 inches. The first has an area of 36×18, or 648 square inches, and the second has an area of 24×18, or 432 square inches. The area of the polygon is the sum of the areas of these two rectangles, which equals 648+432, or 1,080 square inches.) What is the area, in square inches, of the polygon shown? A. 21 B. 54 C.1,008 D.1,080 25x^2+6y^3+4x−25y+3x^2−4y^2 Which of the following shows all like terms of the expression above? A.25x^2 and 3x^2 B.25x^2 and 25y C.25x^2 , 3x^2, and 4y^2 D.6y^3, 25y, and 4y^2 A.25x^2 and 3x^2 Activity : Time Dance class : 15 min. Running : 8 min. Walking : 20 min. The table shows the time it takes Larissa to burn 100 calories while performing each of three activities. Larissa’s workout routine includes a 30-minute dance class, 10 minutes of running, and 15 minutes of walking. How many calories did Larissa burn to complete her workout? A.375 B.400 C.425 D.450 B.400 3×2+7×2 The expression shown results when the distributive property of multiplication over addition is applied to which of the following expressions? A.3+3+7+7 B.6+14 C.(3+7)×2 D.(7×2)+(3×2) C.(3+7)×2 B. (The inequality can be solved by first adding 6 and 3x to each side of the inequality and then adding like terms, resulting in (5/2)x> 10. Multiplying each side by (2/5) yields x>4 On the number line, this inequality corresponds to a graph of the numbers greater than 4 but not including 4.) -(1/2)x−6>4−3x Which of the following is the graph of the solutions to the inequality shown? Which of the following lists shows all the factors of 24 ? A.2, 3 B.3, 4, 6, 8 C.2, 3, 4, 6, 8, 12 D.1, 2, 3, 4, 6, 8, 12, 24 D.1, 2, 3, 4, 6, 8, 12, 24 C.AC→ and AB→ Which of the following can be used to name the ray that has endpoint A and goes in the direction of C in the figure shown? A.AB→ only B.AC→ only C.AC→ and AB→ D.CA→ and AC→ A. The function f(x)=x2+3 is represented by which table of values? Which of the following expresses (3/16) as a percent? A 0.1875% D.132 C. 73 C chicken, chicken, spaghetti, chicken, pizza, pizza, tacos, chicken, pizza, pizza, pizza, tacos, spaghetti, tacos, spaghetti, tacos, tacos, spaghetti, tacos, tacos A teacher asked 20 students to name their favorite school lunch. The students' responses are shown in the table. The teacher then asked the students to organize and display the data in a bar graph. Which bar graph correctly displays the data? A. G lies on the x-axis. D. D is in the fourth quadrant. E. The area of the polygon ABCDEFG is 27 square units. In the figure shown, quadrilateral ABFG is a square and quadrilateral FCDE is a rectangle. Which of the following statements must be true about the figure? Select all that apply. A. G lies on the x-axis. B. C lies on the y-axis. C. A is in the first quadrant. D. D is in the fourth quadrant. E. The area of the polygon ABCDEFG is 27 square units. F. The perimeter of the polygon ABCDEFG is 25 units. Which of the following is equal to 5(10^0)? A. 0 B. 1 C. 5 D.50 C. 5 (10^0)=1 A pencil is 18 centimeters in length. How long is the pencil in millimeters? A. 0.18 B. 1.8 C. 180 D. 1,800 C. 180 If the geometric sequence below continues to increase in the same way, what is the next number in the sequence? 2, 6, 18, 54, 162, ... A.243 B.324 C.486 D.729 C.486 3x^5 + 7x^3 − 5 Which of the following lists the coefficients and degrees of the terms in the polynomial shown? A.Coefficients: 3, 7, −5−5; Degrees: 5, 3, 0 B.Coefficients: 3, 7, −5−5; Degrees: 5, 3, 1 C.Coefficients: 5, 3, 0; Degrees: 3, 7, −5−5 D.Coefficients: 5, 3, 1; Degrees: 3, 7, −5 A.Coefficients: 3, 7, −5−5; Degrees: 5, 3, 0 In which quadrant is the point (−8,2) located? A.Quadrant I B.Quadrant II C.Quadrant III D.Quadrant IV B.Quadrant II Elisa’s number: 5,723,683 Troy’s number: 2,678,533 Both Elisa and Troy wrote a number, as shown. The digit 7 in Elisa’s number represents how many times what the digit 7 represents in Troy’s number? A. 10 B. 100 C. 1,000 D. 10,000 A. 10 3y + 2y What is the value of the algebraic expression shown wheny=5? C. d is the dependent variable because it is being multiplied by the independent rate of 450. D. Dependent and independent variables cannot be determined in this situation because the equation is linear. A. g is the dependent variable because the volume is dependent on the number of days d. Tom's company has to ship 1,944 boxes of shoes. If a truck can hold 450 boxes, how many trucks does he need to ship all the boxes? 5 In the number 567,894, what is the value of the digit 6 ? A.Sixty B.Ten thousand C.Six thousand D.Sixty thousand D.Sixty thousand Kyle’s father set up a savings account for him with an initial balance of $100. Since then, Kyle has been depositing $28 into the account each week. Kyle represents the amount of money he has saved after x weeks by the expression 28x+100. Which of the following is equivalent to Kyle's expression? A.4(7x+25) B.7(4x+100) C.7(4x+25) D.4(7x+100) A.4(7x+25) D. 1(3/8) The figure shows a ruler with inches marked and two line segments drawn. To the nearest eighth of an inch, how much longer, in inches, is the length of AB¯ than the length of CD‾ ? A. 3(3/4) B. 1(3/4) C. 1(5/8) D. 1(3/8) Which of the following numbers is least? A.0.103 B.0.1041 C.0.1005 D.0.11 C.0.1005 In a certain year, 5 percent of the 2,800 employees of a company had a perfect attendance record. Which of the following computations can be used to determine the number of employees with a perfect attendance record? A. (1/40)×2,800 B. (1/20)×2,800 C. (1/5)×2,800 D. 5×2,800 B. (1/20)×2,800 In the formula d=r×t, if d equals 60 and t remains constant, which of the following is equivalent to r ? A.60t B.(60/t) C.(t/60) D.(d/60t) B.(60/t) 15(4+3)=15×4+15×3 The equation shown demonstrates which of the following? A.The distributive property of multiplication over addition B.The commutative property of multiplication C.The associative property of multiplication D.The additive inverse and additive identity properties A.The distributive property of multiplication over addition Which of the following is the product of two even numbers and an odd number, each of which is greater than 1 ? A.15 B.16 C.20 D.21 C.20 A wholesale nut company makes 10-pound and 25-pound bags of trail mix. For the 10-pound bag, the company uses 3 pounds of raisins, and the rest is nuts. If the proportion of raisins to nuts is the same in the 25-pound bag as in the 10-pound bag, how many pounds of nuts does the company need for the 25-pound bag? A. 7.5 C. 40 D. 48 C. 40 Wai tossed a fair coin 9 times with an outcome of H H T T T T H H H, where H means heads and T means tails. What is the probability that the next toss will be T ? A.0.2 B.0.4 C.0.5 D.1.0 C.0.5 A. 54 If the perimeter of each of the seven regular hexagons in the figure shown is 18, what is the perimeter of the figure? A. 54 B. 63 C.108 D.126 The population of a certain city was 50,000 people. One year later, the population of the same city grew to 50,600. What was the percent increase in the city’s population in that one-year period? A. 0.6% B. 1.2% C. 6% D.12% B. 1.2% Which of the following is an example of the associative property of multiplication? A.ab+c=ba+c B.ab+c=c+ab C.(ab)c=a(bc) D.a(b+c)=ab+ac C.(ab)c=a(bc) What is the greatest odd factor of the number 2,112 ? A. 3 B. 21 C. 33 D.111 C. 33 At a yard sale, Tenille sold drinking glasses for $2.00 each and plates for $3.50 each. Nicholas spent a total of $18.00 on drinking glasses and plates at Tenille’s yard sale. If Nicholas bought at least one glass and one plate, how many drinking glasses did he buy? A.1 B.2 C.3 D.4 B.2 The Clearbrook Wildcats basketball team scored an average of 77 points in four games. In the first three games, the team scored 70, 76, and 82 points. How many points did they score in their last game? A.70 B.76 C.77 D.80 D.80 On Greg’s map, 1 inch represents 30 miles, and on Lori’s map, 1 inch represents 20 miles. The area of a 1-inch by 1-inch square represents how many more square miles on Greg’s map than on Lori’s map? A.100 B.250 C.400 D.500 D.500 Which of the following are equivalent to dividing 288 by 24 ? Select all that apply. A. (288 ÷ 4) ÷ 6 B. 2(144 ÷ 24) C. (144 ÷12) + (144 ÷ 12) D. (240 ÷ 24) + (48 ÷ 24) A. (288 ÷ 4) ÷ 6 A X : Y -10 : -5 -5 : 0 5 : 10 10 : 15 Which of the following graphs best represents the relationship between x and y in the table shown? If 125+4x=7y, what is x in terms of y ? A.x=4(7y−125) B.x=4(7y+125) C.x=(7y−125)÷4 D.x=(7y+125)÷4 C.x=(7y−125)÷4 B.The area of Figure 1 is equal to the area of Figure 2, and the perimeter of Figure 2 is greater than the perimeter of Figure 1. The rectangular region shown in Figure 1 is cut along the dotted line and reassembled as shown in Figure 2. Which of the following statements about the area and perimeter of Figure 1 and Figure 2 is true? A.The area of Figure 1 is equal to the area of Figure 2, and the perimeter of Figure 1 is equal to the perimeter of Figure 2. B.The area of Figure 1 is equal to the area of Figure 2, and the perimeter of Figure 2 is greater than the perimeter of Figure 1. C.The area of Figure 1 is greater than the area of Figure 2, and the perimeter of Figure 1 is greater than the perimeter of Figure 2. D.The area of Figure 1 is greater than the area of Figure 2, and the perimeter of Figure 1 is equal to the perimeter of Figure 2. In the formula d=r×t, if d equals 60 and t remains constant, which of the following is equivalent to r ? A.60t60t B.60t60t C.t60t60 D.d60t