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1. Marsha asked all 72 children at recess and only ⅙ said that their favorite ice
cream flavor was strawberry. Which of the following expression can be used to
determine the number of children who told her strawberry was their favorite?
A. 72 × 16.66
B.72 × 0.33
C.72 × 0.166
D.72 × 33 - ANSWER C.72 × 0.166
2. Which of the following is the product of 2 odd numbers and 1 even number,
each of which is greater than 1?
A.20
The prime factorization of 20 is 2 × 2 × 5 which is 2 even numbers and an odd
number.
B.30
The prime factorization of 30 is 2 × 3 × 5 which satisfies the need for 2 odd
numbers and an even number.
C.15
D.25 - ANSWER B.30
,3. The prime factorization of 30 is 2 × 3 × 5 which satisfies the need for 2 odd
numbers and an even number.
Mr. Sudu is a waiter. His total weekly earnings consist of a wage of $6 per hour
plus approximately 15% in tips on his total sales for the week. One week Mr. Sudu
worked 25 hours and had total sales of z dollars. Which of the following
represents his total weekly earning in dollars, E, for that week?
A. E=6z+25E=6z+25
B. E=0.15 \left( z+150 \right)E=0.15(z+150)
C. E=0.15z+150E=0.15z+150
To find Mr. Sudu's earnings, multiply the percentage in decimal form (0.15) by the
total sales in dollars (z) and add this to his wage of 150, which is the product of his
hourly rate (6) and the number of hours he worked (25).
D. E=25 \left( 0.15z+6 \right)E=25(0.15z+6)
This equation multiplies the number of hours he worked (25) by his tips plus his
hourly earnings. - ANSWER C.E=0.15z+150
The Parent Teacher Organization at Douglass Elementary baked cookies. The
ingredients to make each batch of cookies cost $3. Each batch made 20 cookies.
The PTO sold each cookie for $0.50. They produced b batches of cookies, and sold
every single one of them. What is a valid expression, in terms of b, for the profit
that the PTO made for their cookie sale?
A. [(0.5)(20) + 3]b
The $3 should be subtracted, not added, because it represents how much the
ingredients for each batch cost, so it gets taken away from their profit.
B.[(0.5)(3) + 20]b
,C.[(0.5)(3) - 20]b
D.[(0.5)(20) -3]b
In general, Profit = Revenue - Expenses. The revenue that the PTO brought in from
their bake sale was $0.50 for every cookie sold. There were 20 cookies in each of b
batches of cookies made and sold. Therefore, there were a total of 20b cookies
produced and sold. With each cookie selling for $0.50, the total revenue from the
sale was 0.50 × - ANSWER D.[(0.5)(20) -3]b
Which of the following comparisons between equations and inequalities is NOT
true?
A. Equations contain only one possible symbol between each expression (=), while
inequalities can contain four possible symbols between each expression (<, >, ≤,
≥).
B.Equations typically have only one solution that makes the equation true, while
inequalities typically have a solution set, or range of values, that make the
inequality true.
C. Equations are solved using inverse operations while inequalities cannot be
solved with inverse operations.
This is false; both equations and inequalities can be solved using inverse
operations to isolate the variable.
D. An equation is a statement that two expressions are equal, while an inequality
is a statement that two expressions are not equal.
This is true; equations are two expressions that are equal, and inequalities are two
expressions that are not equal. - ANSWER C.Equations are solved using inverse
operations while inequalities cannot be solved with inverse operations.
, This is false; both equations and inequalities can be solved using inverse
operations to isolate the variable.
Tanya is trying to help her 3rd grade student understand how to check for
mathematical reasonableness. The student has calculated 8+7=21. What is a
technique she might suggest to help her student learn estimation? - ANSWER
Doubling
Alex makes the target board shown above and places it on the floor. Alex makes a
conjecture that is possible to obtain any score from 0-15 by dropping exactly three
coins on the board. Assuming all the coins land somewhere inside the square.
Which of the following statements BEST evaluates Alex's conjecture? - ANSWER
The conjecture is invalid, since it is impossible to obtain a score of 12 or 14.
What choice BEST describes an explanation a teacher could give a student to help
him/her judge the reasonableness of the solution in the following scenario.
Evaluate: -7-12 and the student answers 5. - ANSWER Think of a basketball
game where you had missed your first 7 shots, and then you go on to miss you
next 12 shots as well. How many shots have you missed in total?
Manipulatives, as concrete objects of a mathematical expression, can be labeled
as symbolic mathematics. In order to learn mathematics from the manipulatives,
what must students perceive from the manipulatives? - ANSWER Relationships
between manipulatives and other forms of mathematical expressions
Troy and Rosa want to purchase a house. The bank will approve a loan for a house
including property tax and insurance on the house for 24% of their adjusted
monthly income. Their combined gross monthly income is $5150. They have a car