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

Download PRAXIS Elementary Education: Multiple Subjects Mathmatics (5003) Practice Test Questions and more Exams Mathematics in PDF only on Docsity! PRAXIS Elementary Education: Multiple Subjects Mathmatics (5003) Practice Test Questions (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 C. 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 A. 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 B. 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 A. 1/4 mi, 3/8 mi, 5/6 mi, 7/12 mi B. 1/4 mi, 3/8 mi, 7/12 mi, 5/6 mi C. 1/4 mi, 5/6 mi, 3/8 mi, 7/12 mi D. 7/12 mi, 3/8 mi, 5/6 mi, 1/4 mi B. 1/4 mi, 3/8 mi, 7/12 mi, 5/6 mi The question requires an understanding of how to compare, classify, and order rational numbers. Which of the following inequalities is equivalent to the inequality 4x+4≤9x+8? A.x≥−4/5 B.x≤−4/5 C.x≥−12/5 D.x≤−12/5 A.x≥−4/5 The question requires an understanding of how to solve multistep one-variable linear equations and inequalities. Two friends went out for lunch and decided to share the dessert. One of them ate 1/2 of the dessert, and the other ate 1/3 of the remaining part. What fraction of the dessert was left over? A. 1/6 B. 1/3 C. 2/3 D. 5/6 B. 1/3 The question requires an understanding of how to solve multistep mathematical and real-world problems. The first friend ate 1/2 of the dessert, while the second friend ate 1/3 of the remaining part; that is, 1/3(1−1/2), or 1/6. Altogether they ate 1/2+1/6=4/6, or 2/3 of the dessert. Therefore, the fraction left over is 1−2/3, or 1/3 of the dessert. (I can't insert the picture of the graph so I will list the points) Point A (-4,2) Point B (4,5) Point C (2,-3) Point D (-3,-3) In the coordinate plane shown, which point is located in Quadrant I? A.A B.B C.C D.D B. Point B The question requires an understanding of how to identify the x-axis, the y-axis, the origin, and the four quadrants in the coordinate plane. The x-axis and the y-axis intersect at the origin and divide the coordinate plane into four quadrants. Quadrant I is the quadrant above the x-axis and to the right of the y-axis. Point B is the only point that lies within this quadrant. 4x(3x+2y) What does 2y represent in the expression shown? A.A binomial B.A factor C.A coefficient D.A monomial D. A monomial The question requires an understanding of how to use mathematical terms to identify parts of expressions and describe expressions. A monomial is an algebraic expression that consists of one term that is a number, a variable, or a product of a number and a variable, where all exponents are whole numbers. A unit square is partitioned into identical parts having equal areas. One of the parts is removed from the square, and a shape is formed by the parts that remain after the removal. For which of the following areas of the removed part will the shape that is formed have the greatest area? A. 1/4 B. 1/5 C. 1/6 D. 1/7 D. 1/7 The question requires an understanding of how to recognize concepts of rational numbers and their operations. If the unit square is partitioned in n parts having equal area, the area of each part is 1/n. Therefore the area of the shape that is formed when removing one of the identical parts is 1−1/n. The smaller is the area of the removed part, the greater is the area of the shape that is left. Since 1/7 is the smallest of the four fractions listed, the shape that has the greatest area is the one that is left by removing a part with area 1/7. a=5,000(1+r) The formula shown can be used to find the amount of money in dollars, a, in an account at the end of one year when $5,000 is invested at simple annual interest rate r for the year. Which of the following represents the independent variable in 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 C. 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. D.The cost of a membership to Gym B is greater than the cost of a membership to Gym A for any number of months. D.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 A. 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 C. 2.25 amps A. 4 B.10 C.12 D.15 C. 12 The question requires an understanding of how to solve unit-rate problems. At a flower shop, there are 5 different kinds of flowers: tulips, lilies, daisies, carnations, and roses. There are also 3 different colors of vases to hold the flowers: blue, green, and pink. If one kind of flower and one color of vase to hold them are to be selected at random, what is the probability that the selection will be lilies held in a pink vase? A. 2/8 B. 2/15 C. 1/8 D. 1/15 D. 1/15 The question requires an understanding of how to interpret probabilities relative to likelihood of occurrence. There are 15 possibilities (5 different kinds of flowers times 3 different colors of vases), so the probability of selecting lilies held in a pink vase is 1/15. 1-2 (5/6) What is the value of the expression shown? A. −1(5/6) B. −1/6 C. 1/6 D. 1(5/6) A. (-1 (5/6) The question requires an understanding of various strategies and algorithms used to perform operations on rational numbers. (I can't insert this image but there is a figure with 10 columns, each column has 5 rows so it has 50 small rectangles inside of it in total, the whole thing is labeled as rectangle ABCD) All small rectangles contained in rectangle ABCDABCD shown have the same area. How many of the small rectangles must be shaded so that 38 percent of the area of rectangle ABCD is shaded? A.12 B.19 C.31 D.38 B. 19 The question requires an understanding of percent as a rate per 100. There are 50 congruent small rectangles in ABCD. If 38% of the area of ABCD is shaded, then (38/100)×50, or 19 small rectangles, must be shaded. x y 1 1 2 4 3 9 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 B. 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. 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. 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 B. 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 D. 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 A. 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 D.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 A. 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 B. Meters The question requires an understanding of relative sizes of United States customary units and metric units. Since 1 meter is approximately 3.28 feet, meters are the most appropriate unit to use to convert 8 feet and 4 feet to metric units. At an apple orchard, between 280 and 300 bushels of apples are picked each day during peak harvest season. There are between 42 and 48 pounds of apples in each bushel. Which of the following could be the number of pounds of apples picked at the orchard in one day during peak harvest season? A. 9,000 B.11,000 C.13,000 D.15,000 C. 13,000 The question requires an understanding of how to recognize the reasonableness of a solution within the context of a given problem. The minimum number of pounds of apples picked in one day is 42×280=11,760. The maximum number of pounds of apples picked in one day is 48×300=14,400. The number in (C), 13,000 pounds, is the only number of pounds of apples greater than 11,760 and less than 14,400. 1,1,2,3,5,8,... The first six terms of a sequence are shown. Which of the following formulas can be used to find the terms of the sequence?