PRAXIS 5003 Elementary Education Multiple SubjectsMathmaticsPractice Test Questions/Answer, Exams of Mathematics

Download PRAXIS 5003 Elementary Education Multiple SubjectsMathmaticsPractice Test Questions/Answer and more Exams Mathematics in PDF only on Docsity! PRAXIS 5003 Elementary Education: Multiple Subjects Mathmatics Practice Test Questions and Answers (form 3) County Population Brookhaven 74,702 Columbus 70,472 Davidson 74,072 Washington 74,720 The chart shows the populations of four neighboring counties. Quyen lives in the county with a population of 70,000+4,000+70+270,000+4,000+70+2. In which county does Quyen live? A.Brookhaven B.Columbus C.Davidson D.Washington - ✔C️. Davidson The question requires an understanding of how to compose and decompose multidigit numbers. The expanded form 70,000+4,000+70+270,000+4,000+70+2 corresponds to the number 74,072, which is the population of Davidson County. Which of the following is an algebraic expression? A.6x−4 B.6y<4 C.6z=4 D.6+4 - ✔A️. 6x-4 The question requires an understanding of how to differentiate between algebraic expressions and equations. An algebraic expression is made of constants, variables, and algebraic operations. While (A) is an algebraic expression, (B) is an algebraic inequality, (C) is an algebraic equation, and (D) is a numerical expression. (2/3)/(4/3)+(3/5)x(5/3)^2 Which of the following is equivalent to the expression shown? A. 2/9 B. 13/6 C. 23/9 D. 55/18 - ✔B️. 13/6 The question requires an understanding of how to solve problems using the order of operations. By using the order of operations and the fact that dividing is equivalent to multiplying by the inverse, the expression (2/3)/(4/3)+(3/5)x(5/3)^2 can be simplified to (2/3)x(3/4)+(3/5)x(25/9). Performing both multiplications yields (1/2)+(5/3), which is equivalent to (13/6). Mary has a rectangular garden in her backyard. The garden measures 5(3/4) feet wide by 7(1/2) feet long. What is the area of the garden? A. 26(1/2) square feet B. 35(3/8) square feet C. 36(1/8) square feet D. 43(1/8) square feet - ✔D️. 43(1/8) square feet The question requires an understanding of how to find the area and perimeters of polygons. If a rectangle has a length of ℓℓ units and a width of w units, then its area is ℓ×wℓ×w square units. (I can't insert the image of the figures so I am sorry) The first three figures in a pattern are shown. The 1st figure is composed of two triangles and one square. Each figure after the 1st figure is composed of two triangles and one square more than the preceding figure. How many line segments are in the 10th figure of the pattern? A.35 B.38 C.41 D.44 - ✔A️. 35 The question requires an understanding of how to identify and extend a pattern. The first figure has 8 line segments. Adding a square to each figure is equivalent to adding 3 line segments. So the number of line segments of the nth figure can be described by the equation f(n)=5+3n, with n=1,2,3,... Therefore the 10th figure of the pattern has f(n)=5+3×10, or 35 line segments. Which of the following is a statistical question? Select all that apply. A.What is the daily high temperature for an August day in Cheyenne, Wyoming? B.How many speeches did George Washington make during his life? C.How many minutes did Hannah spend talking on her phone on August 28, 2016 ? D.What was the average number of miles a week run by the members of the Hereford High School cross-country team last month? - ✔A️. What is the daily high temperature for an August day in Cheyenne, Wyoming? D.What was the average number of miles a week run by the members of the Hereford High School cross-country team last month? The question requires an understanding of how to identify statistical questions. A statistical question is one that can be answered by collecting data and where there will be variability in the data collected. Which word describes each angle in an equilateral triangle? A.Acute rate r for the year. Which of the following represents the independent variable in the formula? A.a B.5,000 C.r D.1+r - ✔C️. r The question requires an understanding of how to differentiate between dependent and independent variables in formulas. In the given formula, there are two variables, a and r. The formula can be used to investigate how the amount of money a varies depending on the interest rate r. Therefore, the dependent variable is a and the independent variable is r. The surface area of a cube is 54 in^2. What is the volume of the cube? A. 27 in^3 B. 54 in^3 C. 81 in^3 D.108 in3 - ✔A️. 27 in^3 The question requires an understanding of how to solve problems involving elapsed time, money, length, volume, and mass. If the length of the side of the cube is s in, then its surface area is 6s^2 in^2. Since the surface area is 54 in^2, then the length of the side of the cube, in inches, can be found by solving the equation 6s^2=54, which yields s=3. The volume of the cube can then be found by solving the equation V=s^3, thus V=3^3. Therefore the volume is 27 in^3. (0x10^4)+(4x10^3)+(0x10^2)+(5x10^1)+(2x10^0) What number is represented by the base-10 expression shown? - ✔4️,052 The question requires an understanding of how to write numbers using base-10 numerals, number names, and expanded form. Since 10^3=1,000, 10^2=100, and 10^0=1, the expression shown is equivalent to (0)+(4×1,000)+(0)+(5×10)+(2×1)=4,000+50+2(0)+(4×1,000)+(0)+(5×10)+(2×1)=4,00 0+50+2, which equals 4,052. Which of the following expressions is equivalent to −4(3−2x)? A.−2x−12 B.2x−12 C.−8x−12 D.8x−12 - ✔D️. 8x-12 The question requires an understanding of how to use the distributive property to generate equivalent linear algebraic expressions. Using the distributive property of multiplication over addition, −4(3−2x)=−4(3)−4(−2x); that is, −12+8x. Using the commutative property of addition yields 8x−128x−12. Carlos makes an annual salary of $65,295. Which of the following is Carlos' salary rounded to the nearest thousand? A.$65,000 B.$65,300 C.$66,000 D.$70,000 - ✔A️. $65,000 The question requires an understanding of how to round multidigit numbers to any place value. To round to the nearest thousand, one must look at the digit in the hundreds place first. The digit in the hundreds place is 2, which is less than 5. Therefore, the digit in the thousands place is not changed when rounding to the nearest thousand. A painter used 1 1/2 cans of paint to paint 2/3 of a room. At this rate, how much more paint does the painter need to paint the remainder of the room? A. 1/3 can B. 1/2 can C. 3/4 can D. 1 can - ✔C️. 3/4 Can The question requires an understanding of how to use proportional relationships to solve ratio and percent problems. Membership Length Cost in months in Dollars 1 75 3 125 6 200 12 350 24 650 The table shows the cost of a membership to Gym B for the five possible membership lengths. Gym A has the same possible membership lengths, and the cost, y, in dollars, of a membership to Gym A for x months is given by the equation 2y−50x=85. Which of the following is true about the cost, in dollars, of a membership to Gym A compared with the cost of a membership to Gym B? A.The cost of a membership to Gym B is greater than the cost of a membership to Gym A for membership lengths of 6 months or less but is greater for membership lengths of greater than 6 months. B.The cost of a membership to Gym A includes the same initial membership fee as the cost of a membership to Gym B but a greater monthly fee. C.The cost of a membership to Gym A includes a greater initial membership fee than the cost of a membership to Gym B but a lower monthly fee. - ✔D️.The cost of a membership to Gym B is greater than the cost of a membership to Gym A for any number of months. The question requires an understanding of how to use linear relationships represented by equations, tables, and graphs to solve problems. The table describes the costs of varying lengths of membership to Gym B and can be represented by the linear equation y=25x+50, where y is the cost of a membership lasting x months. The equation that describes the cost y of a membership to Gym A lasting for x months can be rewritten as y=25x+42.50. The monthly fees, represented by the slopes of the two linear equations, are equal for the two memberships. However, the y-intercept of the equation representing Gym B is greater than the y-intercept of the line representing Gym A. This can be interpreted to mean that the initial fee for Gym B is greater than the initial fee for Gym A. Since the monthly memberships are the same but Gym B has a greater initial fee, the membership cost for Gym B is always more expensive than the membership cost for Gym A for any number of months. A certain polygon has the following attributes. There are 2 pairs of parallel sides. It is a quadrilateral. One pair of parallel sides has length 2, and the other pair of parallel sides has length 4. Which of the following types of polygons has all of the attributes listed? A.Parallelogram B.Rhombus C.Triangle D.Square - ✔A️. Parallelogram The question requires an understanding of how to use attributes to classify or draw polygons and solids. A quadrilateral is a polygon with four sides. A parallelogram is a quadrilateral with two pairs of parallel sides. A rhombus is a parallelogram with all sides of the same length. A square is a rhombus with at least one right angle. For attributes 1 and 2, the polygon is not a triangle. For attribute 3, the polygon is neither a rhombus nor a square. Therefore, the polygon must be a parallelogram. The formula V=IRV=IR relates the voltage V, in volts, to the current I, in amps, and the resistance R, in ohms, in a circuit. What is the current produced by a 9-volt battery in a circuit with 4 ohms of resistance? A.1.50 amps B.2.00 amps C.2.25 amps D.2.50 amps - ✔C️. 2.25 amps The question requires an understanding of how to use formulas to determine unknown quantities. The cost to rent a bus for a field trip is $34.25 per hour, and the duration of the trip is 4 hours and 45 minutes. Which of the following expressions is best for doing a mental calculation to closely estimate the total cost, in dollars, of renting the bus for the trip? A.34×5 B.34×4.75 C.34.25×4.75 D.35×5 - 4 16 Which of the following functions could be represented by the table shown? A. y=2^x B. y=x^2 C. y=2x D. y=5x−4 - ✔B️. y=x^2 The question requires an understanding of how to identify relationships between the corresponding terms of two numerical patterns. To find out which function could be represented by the table, one must substitute the values of x given in the table and verify which function gives the corresponding values of y. (Can't insert the images, but there are two squares, figure one is a smaller square than figure two) The figures shown are squares. Each side in Figure 1 has length 7, and Figure 2 has side lengths that are double those in Figure 1. How do the perimeter and area of Figure 1 compare with the perimeter and area of Figure 2 ? A.The perimeter and area of Figure 2 are double the perimeter and area of Figure 1. B.The perimeter and area of Figure 2 are four times the perimeter and area of Figure 1. C.The perimeter of Figure 2 is double the perimeter of Figure 1, and the area of Figure 2 is four times the area of Figure 1. D.The perimeter of Figure 2 is four times the perimeter of Figure 1, and the area of Figure 2 is eight times the area of Figure 1. - ✔C️.The perimeter of Figure 2 is double the perimeter of Figure 1, and the area of Figure 2 is four times the area of Figure 1. The question requires an understanding of how changes to dimensions change area and volume. If r is a real number, which of the following illustrates the commutative property of multiplication? A.(32)(r)=(3)(2r) B.(32)(r)=(r)(32) C.(32)(r)=(30)(r)+(2)(r) D.(32)(r)=(32)(r)(1) - ✔B️. (32)(r)=(r)(32) The question requires an understanding of how to identify properties of operations. The commutative property of multiplication states that given any two numbers A and B, A×B=B×A; that is, the order of the factors in a multiplication problem does not affect the product. 3 less than 4 times the sum of the number x and 15 Which of the following expressions best represents the verbal phrase shown? A.4x+15−3 B.3−4x+15 C.4(x+15)−3 D.3−4(x+15) - ✔C️. 4(x+15)-3 The question requires an understanding of how to translate between verbal statements and algebraic expressions or equations. The product of a number and a sum requires parentheses around the sum. 1 tablespoon= 1/16 cup 1 teaspoon= 1/3 tablespoon 1 fluid ounce= 2 tablespoons Each row of the table shows equivalent measurements. Based on the equivalent measurements, which of the following quantities is greatest? A.12 tablespoons B.7/8 cup C.8 fluid ounces D.45 teaspoons - ✔C️. 8 fluid ounces The question requires an understanding of how to convert units within the U.S. customary system. To answer the question, one can convert all measurements to the same unit. r=5b In a flower shop, there are 5 roses in every bouquet. The equation shown gives the number of roses r used to make b bouquets. Select the appropriate choices to correctly complete each sentence. b is (dependent or independent) variable. r is (dependent or independent) variable. - ✔b️ is independent r is dependent The question requires an understanding of how to differentiate between dependent and independent variables in formulas. What is the least common multiple of 12, 20, and 30? A. 2 B. 60 C.240 D.360 - ✔B️. 60 The question requires an understanding of how to find factors and multiples of numbers. What value does the 8 represent in the number 5,836,303 ? A.Eight hundred B.Eight thousand C.Eighty thousand D.Eight hundred thousand - ✔D️. Eight hundred thousand The question requires an understanding of how to identify the place a digit is in and its value in that place. (2x+5x-2)-(x+y-3y-5x+2) Which of the following is equivalent to the expression shown? A.11x+2y−4 B.3x−2y−4 C.11x−2y D.x−2y - ✔A️. 11x+2y-4 The question requires an understanding of how to add and subtract linear algebraic expressions. What is the prime factorization of 3,780? A.2×5×6×7×9 B.3×4×5×7×9 C.2×3×6×7×15 D.2×2×3×3×3×5×7 - ✔D️.2×2×3×3×3×5×7 The question requires an understanding of how to identify and use prime and composite numbers. The prime factorization of a number is that number written as a product of its prime factors. In a bag there are 28 candies, of which 17 are peppermints and the rest are caramel chews. What is the ratio of the number of caramel chews to the number of peppermints in the bag? A.11:17 B.17:11 C.17:28 D.28:17 - ✔A️. 11:17 The question requires an understanding of how to apply the concepts of ratios and unit rates to describe relationships between two quantities. A window's size is 8 feet by 4 feet. Which of the following units is most appropriate to use to convert the dimensions to metric units? A.Kilometers B.Meters C.Millimeters D.Nanometers - ✔B️. Meters