Core/ Math 391 Rep Exam

Micheal is standing in a park that can be represented by the point 4,6 on a coordinate plane. He walks a distance that is equivalent to 3 units to the right and 2 units down on the coordinate plane and arrives at a pet shop. Which ordered pair represents the location of the pet shop on the coordinate plane?

(7, 4)

Malik wants to find 25 percent of 84 by doing a mental calculation. Which of the following numbers is best for Malik to use to multiply by 84 to find 25 percent of 84

0.25

when simplified, which three of the following expressions have values that are equal?

1/4x(120 + 64) 1/3x162 - 2 / ¼ 70+22 / 17/2 - 13/2

7x -5 +4x -3 +14 A teacher writes the problem shown above on the board for students to solve and tells them to combine like terms as the first step in solving the equation. Which of the following equations written by a student best demonstrates an understanding of combining like terms in the first step?

11x-8=14

In rectangle ABCD shown above, the length of line BD is 10x+8 and the length of line AC is 9x +20. What is the value of x?

12

Joseph lays out 8 number cards on his desk as shown above. He arranges them to create the smallest possible 8-digit number with the 2 in the thousands place. What number did he create?

13, 452, 678

Which of the following is a correct factor tree for finding a prime factorization of the given number?

20 to 4 and 5 and then 4 to 2 to 2

A class is instructed to get into groups, spin a spinner 100 times, and record the number that the arrow lands on each time. The spinner is partitioned into 5 sections, labeled with the numbers 1 through 5. The spinner is equally likely to land in each numbered sector.

204

Which of the following shows a correct computation for the answer to the problem shown above?

21 times 1/2

Water starts running into an empty 25- gallon tub at the rate of 2 quarts per 30 seconds. How many minutes will it take to completely fill the tub with water? (1 gallon = 4 quarts)

25

What is the perimeter, in ft, of a rectangular room that has a length of 25 ft and a width of 16 ft?

82

Which of the following activities will best allow a teacher to demonstrate socioeconomic diversity for students in a math class?

Discussing in groups how to plan budgets for various income amounts

A teacher's goal in a math lesson is to have the students use calculators to develop conceptual understanding. Which of the following activities best addresses the goal?

Having students type 4+4+4+4+4+4 and 4 * 6 into their calculators, then determine why the values are equal

The table shown above gives the number of sweaters knitted and sold by four people. If the number of sweaters sold by Jocelyn, Ruben, Kody, and Autumn is directly proportional to the number of sweaters they each knitted, who is most likely to sell a sweater if he or she knits another sweater

Kody

140+40

Mr. Daniels displays the base ten blocks shown and asks students to suggest an algorithm that the blocks could represent. Which of the following student responses answers the teacher's question?

Constructivist Learning Theory

Ms. Wingate is teaching a lesson on patterns. She provides her students with cubes of various colors and instructs them to create a pattern of their own. After the students each create a pattern, they will take turns presenting and explaining their patterns. Which of the following theories of learning best matches the activity Ms. Wingate is using with her students.

A teacher is planning to demonstrate the concept of multiplication to students for the first time. Which of the following is best for the teacher to do when first introducing the concept?

Solving a multiplication problem using some type of concrete manipulative

Both Task A and Task B shown above meet a teacher's goal that students explore the relationship between the perimeter and area of rectangles between the perimeter and area of rectangles. For which of the following additional goals is Task A more appropriate than Task B?

Sparking Interest

Ms. Greko observed students in her class as they completed multiplication exercises. Many students arrived at the same incorrect answer when multiplying 24 and 23, as shown in the student work above. Which of the following is most likely the error made by the students?

The 10 composed of the multiplication of 3 ones and 4 ones was counted as both a ten and a hundred.

The student describes and compares fractional parts of whole objects or sets of objects. The student is expected to compare and order fractions using concrete objects and pictorial models. Which of the following is an example of a clear learning goal for the Texas Essential Knowledge and Skills (TEKS) skill stated above?

The learner will understand and explain which of two fractions is greater by using concrete objects

Ms. Anderson gives students the table shown above. She then takes a piece of yarn, folds it in half and cuts across the piece of yarn. She then makes a second cut across the piece of yarn, and demonstrates how many pieces of yarn there are after each cut. She asked students to fill in the rest of the table and then write a summary of how the number of pieces, y, is related to the number of cuts, x, Which of the following best demonstrates an understanding of how x and y are related?

y= 2x + 1

The table above shows a linear relationship between the variables x and y. Which of the following equations correctly defines the relationship? x : 2, 3, 5, 8, 12 Y: 9, 11, 15, 21, 29

y=2x-5

Which of the following equations is written in slope-intercept form?

y=mx+b

A class is instructed to get into groups, spin a spinner 100 times, and record the number that the arrow lands on each time. The spinner is partitioned into 5 sections, labeled with the numbers 1 through 5. The spinner is equally likely to land in each numbered sector. During the week, the teacher has students participate in similar activites. At the end of the week, students are asked to research careers in which the mathematical ideas.....

An actuary working for an insurance company calculating the chance that a customer will have a collision

What is the median of the data shown below? 22 23 30 38 45 46 47 55 55 60 61 63 67 70 77 80 93 95 97 99 100

61

Molly went back to school shopping and purchased 6 different shirts, 4 different pairs of pants, and 2 different skirts. If an outfit consists of one shirt and either one pair of pants or one skirt, how many outfits could Molly choose from to wear to school?

36

Joey and Jenny are playing a game in which they take turns choosing from a set of letter tiles that are face down on a table. The set includes 16 consonant tiles and 5 vowel tiles. Jenny chooses a tile first and it is a vowel. She keeps the tile for her next turn and does not return it to the set of letters. If Joey chooses a tile second, what is the probability that he will select a vowel tile?

4/20

Jennifer sold cookies for x dollars a box and earned a total of $424. Which of the following expressions represents the number of boxes Jennifer sold?

424/x

70

A class is learning about situations that involve ratios and proportions. The teacher tells the class that the school has between 300 and 400 students, and between 18 percent and 21 percent of the students have blue eyes. Which of the following is the most reasonable estimate of the number of students in the school who have blue eyes?

A first grade teacher asks each of the students in the class to say which one of three popular foods is his or her favorite. Which of the following visual representations of the collected data is most appropriate for the students to construct to compare the number of students who choose each of the three foods?

A pictograph

Which of the following activities best helps students distinguish between fixed and variable expenses?

Categorizing the cost of operating a lemonade stand into expenses that depend on sales volume and those that do not

Mr. Bailey provides his students with graph paper that shows an xy-plane with the axes labled. He asks the students to draw a 4-sided shape of their choice on the xy-plane. He then instructs his students to graph the shape that is found by adding 20 to all the x-coordinates and 15 to all the y-coordinates of each point on the original 4-sided shape. Which of the following graph transformations is Mr. Bailey most likely working on with his students?

Translation

A teacher of a linguistically diverse class is beginning a mathematics unit that includes some new vocabulary words. Which of the following strategies is best for the teacher to use to reach all the students in the class?

explaning each new term and providing examples of how each new term is used