Practice Test Questions for Elementary Education: Multiple Subjects Mathematics (5003), Exams of Mathematics

Download Practice Test Questions for Elementary Education: Multiple Subjects Mathematics (5003) and more Exams Mathematics in PDF only on Docsity! PRAXIS Elementary Education: Multiple Subjects Mathmatics (5003) Practice Test Questions (forms 1 & 2) with correct Answers 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. Brainpower 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 basket contains A apples and P pears, and there are two fewer apples than three times the number of pears. Which of the following equations can be used to represent algebraically the relationship between the number of apples and the number of pears in the basket? A.A=2−3P B.A−2=3P C.A+2=3P D.3A=P−2 C.A+2=3P 30M+15R=900 In a certain year, Rodney earned a total of $900 mowing lawns and raking leaves for his neighbors. He received $30 for each lawn he mowed and $15 for each job raking leaves he had. In the formula above, M represents the number of lawns Rodney mowed for his neighbors and R represents the number of jobs raking leaves he had during the year. If Rodney mowed 15 lawns that year, how many jobs raking leaves did he have? A.15 B.20 C.30 D.90 C.30 Into how many equilateral triangles can a regular hexagon be decomposed? A.3 B.4 C.5 D.6 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. Which of the following could be the place value of a and b? A.a is in the thousandths place, and b is in the tens place. B.a is in the tenths place, and b is in the hundreds place. C.a is in the ones place, and b is in the hundredths place. D.a is in the tens place, and b is in the thousandths place. D.a is in the tens place, and b is in the thousandths place. Number of Players vs Salary in dollars 2 vs 15,000,000 2 vs 10,000,000 5 vs 1,200,000 5 vs 1,000,000 5 vs 800,000 6 vs 500,000 Which is a measure of center that best represents a typical player's yearly salary? A.Mean B.Median C.Mode D.Range B.Median (2a−a+3)−(−5a+6a+2) Which of the following is equivalent to the expression shown? A.1 B.5 C.2a+1 D.12a+5 A.1 462,359 In the number shown, the value represented by the digit 6 is 6×b, where b is a constant. Which of the following equals b? A.10^3 B.10^4 C.10^5 D.10^6 B.10^4 Which of the following statements must be true about the two non-right angles of a right triangle? A.Both angles are acute. B.One angle is acute and one is obtuse. C.The angles are congruent. D.Both angles are obtuse. A.Both angles are acute. We have an expert-written solution to this problem! −3(x−4)≥9 Which of the following inequalities is equivalent to the inequality shown? A.x ≤ −1 B.x ≤ 1 C.x ≥ −1 D.x ≥ 1 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) A family of 5 consumes (1/2) gallon of milk a day. How many 1-gallon jugs of milk must the family buy to have enough milk for a week? A.2.5 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% B 1.875% C 5.33% D 18.75% D 18.75% Which of the following is equal to 4(5−2)^2−2^3 ? A. 16 B. 28 C. 76 D.136 B. 28 A two-dimensional net of a certain three-dimensional figure includes five faces, nine edges, and six vertices. Which of the following three-dimensional figures is represented by the net? A. Triangular pyramid B. Triangular prism C. Rectangular pyramid D. Rectangular prism B. Triangular prism B.When the numerator stays the same and the denominator increases, the fraction decreases. Which of the following is demonstrated by the figure shown? A.When the numerator stays the same and the denominator increases, the fraction increases. B.When the numerator stays the same and the denominator increases, the fraction decreases. C.When the denominator stays the same and the numerator increases, the fraction increases. D.When the denominator stays the same and the numerator increases, the fraction decreases. Week : Customers 1 : 52 2 : 79 3 : 44 4 : 110 5 : 90 6 : 68 7 : 125 8 : 96 9 : 88 Bobby runs a small store. The total number of customers who shopped at the store during each of nine consecutive weeks is recorded in the chart shown. If the number of customers who shopped at the store during the tenth week were included in the data, the mean and median of the data would change but the range would not change. Which of the following could be the number of customers who shopped at the store during the tenth week? A. 39 Sara went to the store to buy some clothes. She bought six shirts, half as many pairs of pants as shirts, and a fourth as many sweaters as shirts. How many pieces of clothing did Sara buy? Which of the following statements about the solution to the word problem shown must be true? A. Because of the real-world context, the solution must belong to the set of all rational positive numbers; therefore, the solution is acceptable. B. Because of the real-world context, the solution must belong to the set of all rational positive numbers; therefore, the solution is not acceptable. C. Because of the real-world context, the solution must belong to the set of all natural numbers; therefore, the solution is acceptable. D. Because of the real-world context, the solution must belong to the set of all natural numbers; therefore, the solution is not acceptable. D. Because of the real-world context, the solution must belong to the set of all natural numbers; therefore, the solution is not acceptable. C Which of the following graphs in the xy-plane could be used to solve graphically the inequality x−2<−2(x+1) and shows the solution to the inequality? Mr. Smythe has asked his students to come up with function rules for the following data. X : Y -1 : 1  0 : 0  Adam says that the function rule is y= −x, Belinda says that the function rule is y=−x^2, and Chandra says that the function rule is y=−x^2−2x. Which of the three equations could be the function rule for the table? A. Adam’s only B. Adam’s and Chandra’s only C. Belinda’s and Chandra’s only D. Adam’s, Belinda’s, and Chandra’s B. Adam’s and Chandra’s only The community pool has a capacity of 50,000 gallons. It is leaking at a rate of 450 gallons per day. The equation g = 50,000 – 450d can be used to find the number of gallons g remaining in the pool after d days. Which of the following statements is true? A. g is the dependent variable because the volume is dependent on the number of days d. B. g is the independent variable because it is what needs to be found. 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 B.17.5 C.18.5 D.22.0 B.17.5 Consider the algorithm shown. Step 1: Select a numerical value for the variable k. Step 2: Add 3 to k. Step 3: Multiply the result by 8. Step 4: Cube the result. Step 5: End. Executing the algorithm shown is equivalent to evaluating which of the following algebraic expressions? A. (8k+3)^3 B. 8(k+3)^3 C. 8^3(k+3) D. 8^3(k+3)^3 D. 8^3(k+3)^3 2, 3, a3 , a4 , a5 , ... The first two terms of the sequence shown are 2 and 3. Each subsequent term, beginning with the third, is found by adding the two preceding terms and multiplying the sum by−2. What is the value of a5, the fifth term of the sequence? A. –14 B. –12 C. –10 D. –8 D. –8 B. The country that had the greatest yearly exports to the United States for each of the years shown had a three-year export total between $11 billion and $12 billion. D. (240 ÷ 24) + (48 ÷ 24) A. (288 ÷ 4) ÷ 6 B. 2(144 ÷ 24) D. (240 ÷ 24) + (48 ÷ 24) Item   :   Price   Cheese : $1.63 Milk : $1.19  Juice : $1.99  Cereal : $1.19  Bread : $0.89 Butter : $1.39 A shopper purchases one of each of the items in the list above at the prices indicated. Which of the following is closest to the change the shopper would receive after paying with a $20 bill? (Assume there is no sales tax.) A.$10 B.$11 C.$12 D.$13 C.$12 Which of the following has the greatest value? A. 5 thousands B. 53 hundreds C. 506 tens D.5,100 ones B. 53 hundreds The Statue of Liberty casts a shadow that is 37 meters long at the same time that a nearby vertical 5-meter pole casts a shadow that is 2 meters long. Based on shadow height, the height, in meters, of the Statue of Liberty must be within which of the following ranges? A.115 meters to 120 meters B.105 meters to 110 meters C. 90 meters to 95 meters D. 60 meters to 65 meters C. 90 meters to 95 meters Bill went to sleep at 9:57 P.M. and awoke the next morning at 6:28 A.M. For how many hours and minutes did he sleep? A.9 hours and 31 minutes B.9 hours and 25 minutes C.8 hours and 31 minutes D.8 hours and 25 minutes C.8 hours and 31 minutes If one cup of soup costs 2 dollars, which of the following represents the number of cups of soup that can be purchased with d dollars? A. 2d B. (d/2) C.(d/100×2) D.(100×d/2) B. (d/2) 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