Math

Question 1

Mr. Bailey provides his students with graph paper that shows an xy-plane with the axes labeled. He asks the students to draw a 4-sided shape of their choices on the xy-plane. He then instructs his students to graph the shape that is found by adding 20 to all of the x-coordinates and 15 to all of 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?

Answer 1

Translation

Question 2

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. For which of the following additional goals is Task A are more appropriate than Task B?
a) Connecting mathematics to different content areas
b) offering multiple solutions
c) providing students an opp. to communicate mathematically
d) Sparking interest

Answer 2

d) Sparking Interest

Question 3

Water starts running into an empty 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)
a) 12.5
b) 25
c) 37.5
d) 50

Answer 3

b) 25

Question 4

Ms. Geko 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?
a) the 10 composed from the multiplication of 3 ones and 4 ones was counted as both a ten and a hundred
b) The 100 composed from the addition of 7 tens and 8 tens was not recorded properly
c) The product of 3 ones and 2 tens was recorded as 7 tens, but should have been recorded as 6 tens
d) The product of 2 tens and 4 ones was recorded as 8 tens, but should have been recorded as 8 ones

Answer 4

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

Question 5

Mr. Tesh gave a test on basic multiplication following an introductory unit. After grading the test, he noticed that a number of students struggled with the material. Which of the following strategies would be best to improve the students’ understanding of the concept of multiplication?

a) Writing the products of numerous pairs of numbers on the board and instructing students to memorize them
b) Using manipulatives to demonstrate that the multiplication of two numbers such as 2 and 3 is the repeated addition of 2 three times
c) Having the students complete basic multiplication exercises in groups so that the students who did not struggle can help the students who did struggle
d) Instructing the students to complete multiplication exercises for homework, then re- administering the test during the next class

Answer 5

b) Using manipulatives to demonstrate that the multiplication of two numbers such as 2 and 3 is the repeated addition of 2 three times

Question 6

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?
a) Jocelyn
b) Ruben
c) Kody 12/6
d) Autumn

Answer 6

c) Kody

Question 7

Michael 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 unit downs on the coordinate plane and arrives at a pet shop. Which ordered pair represents the location of the pet shop on the coordinate plane?
a) 1,8
b) 2,9
c) 6,3
d) 7,4

Answer 7

d) 7,4

Question 8

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?
a) Having students copy and memorize the definition of each new term
b) Explaining each new term and providing examples of how each new term is used
c) Creating a symbol for the students to use to represent each new term
d) Having students use the new vocabulary while engaging in dialogue in English with other students in the class

Answer 8

b) Explaining each new term and providing examples of how each new term is used

Question 9

In rectangle ABCD shown above, the length of BD is 10x + 8 and the length of AC is 9x + 20. What is the value of x?
a) 10
b) 12
c) 18
d) 28

Answer 9

b) 12

Question 10

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

Answer 10

B. y=mx+b

Question 11

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 different outfits could Molly choose from to wear to school?
a) 12
b) 26
c) 36
d) 48

Answer 11

c) 36

Question 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?
a) 87,652,431
b) 82,765,431
c) 13,452,678
d) 12,345,678

Answer 12

c) 13,452,678

Question 13

In which of the following scenarios is the use of estimation most appropriate?

a) A referee is keeping score at a sporting event
b) A nurse is administering medicine
c) A meteorologist is talking about the high temperature predicted for tomorrow
d) A property owner is submitting the taxes due on a piece of land

Answer 13

c) A meteorologist is talking about the high temperature predicted for tomorrow

Question 14

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?

a) 0.0025
b) 0.25
c) 120/480
d) 1/4

Answer 14

b) 1/4

Question 15

Which TWO of the following numbers are neither prime nor composite?
a) 0
b) 1
c) 2
d) 3
e) 4

Answer 15

a and b

Question 16

A teachers 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?

a) Having students calculate the sales tax of various grocery items using calculator
b) Having students type 2 then repeatedly hit to find all the powers of 2
c) Having students type 4+4+4+4+4+4 and 4 * 6 into their calculators, then determine why the values are equal
d) Having students find answers to various three digit multiplication problems quickly as possible

Answer 16

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

Question 17

The student describes and compare fractional parts of whole objects or sets of objects. The student is expected to compare and order fraction 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?

a) The learner will understand and explain which of two fractions is greater by using concrete objects
b) The learner will build a number line with fraction rods
c) The learner will practice drawing accurate pictures of fraction values
d) The learner will build fractional amounts with square tiles

Answer 17

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

Question 18

If there are 10 groups of students participating in the spinner activity which of the following is most likely the total number of times the spinner will land on the number 4 sector?

a) 106
b) 150
c) 204
d) 250

Answer 18

d) 250

Question 19

During the week the teacher has students participate in similar. At the end of the week students are asked to research careers in which the mathematical ideas explored during the week could be used. Which of the following scenarios best demonstrates how the math concept explored during the week is applied in a career context?

Answer 19

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

Question 20

During a unit on finances, a teacher begins an activity by assigning a job and salary to each student in the class. Which of the following real- life simulations is best for the teacher to add to the activity to help students learn one way they can use their earnings to gain extra money?

a) Students can choose to purchase certificates of deposit
b) students must pay taxes on their earnings
c) students may put aside a portion of their salary
d) students can given to charity

Answer 20

a) students can choose to purchase certificates of deposit

Question 21

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?

Answer 21

4/20

Question 22

X- 2 3 5 8 12
Y- 9 11 15 21 29
The table below shows a liner relationship between the variables x and y. Which of the following equations correctly defines the relationship?

Answer 22

y=2x+5

Question 23

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

Answer 23

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

Question 24

Which of the following cultures is credited with developing the base ten decimal system, which is based on the concept of place value?

Answer 24

B) Hindu- Arabic

Question 25

What is the perimeter in feet of a rectangular room that has a length of 25 ft and a width of 16 feet?
a) 41
b) 82
c) 164
d) 400

Answer 25

B) 82

Question 26

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) A pictograph
b) A circle graph
c) A line graph
d) A histogram

Answer 26

A pictograph

Question 27

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 created 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?

Answer 27

Constructivist learning theory

Question 28

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?

Answer 28

Solving a multiplication problem using some type of concrete manipulative

Question 29

Based on the figure above, which of the following statements is true?

Answer 29

Lines CD and EF are parallel

Question 30

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 best answers the teacher’s question?

Answer 30

140 + 40

Question 31

A class is learning about situations that involve ratios and proportion. 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?

Answer 31

70

Question 32

David always works half days when
he goes into work. If he goes into work
21 days, how many full days of work
does he complete?

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

Answer 32

21 x 1/2

Question 33

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

Answer 33

Discussing in groups how to plan budgets for various income amounts

Question 34

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

Answer 34

C

Question 35

After completing a unit on graphing data, students are given the table shown above and asked to determine what type of graph is most appropriate for displaying the data. Which of the following graph types is most appropriate for displaying the data in the table?

Answer 35

Line graph

Question 36

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 asks 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 understanding of how x and y are related?

Answer 36

y= 2x + 1

Question 37

Michael 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?

Answer 37

(7,4)

Question 38

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?

Answer 38

11x - 8 = 14

Question 39

When simplified, which THREE of the following expressions have values that are equal?

(A) 1/4 x (120+64)
(B) 2(20+6)
(C) 1/3 x 162- (2/1/4)
(D) 70+22/ (17/2) - (13/2)
(E) 3^2 + (4+3)^2 - 4^2

Answer 39

A, C and D

Question 40

What is the median of the data shown above?

Answer 40

61

Question 41

Question 31-32 refer to the task below.

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 five sections labeled with the number 1 through 5 as shown. The spinner is equally likely to land in each numbered sector.

If there are 10 groups of students participating in the spinner activity, which of the following is most likely the total number of times the spinner will land on the number 4 sector?

Answer 41

204

Question 42

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?

Answer 42

424/x