TEST 2 - KIMS CLASS UPDATED ACTUAL QUESTIONS
AND CORRECT ANSWERS
Question:
1. A function is shown on the graph below.
x-0 y-6 x-1 y-7 x-2 y-8
Answer:
y=x+6
As shown in the table, in order to find the y-value, simply add 6 to the x-value. Therefore, the equation of
the line is y = x +
6.
Question:
2. A garden store buys clay pots from a distributor for $15 each and then sells them for $40 each in the
store. What is the profit of each pot as a percentage of the cost price paid to the distributor?
Answer:
166.7%
Profit = selling price - cost price = $25 $25 is what percent of $15? $25 = x%($15). x=166.67%
Question:
3. Trip 1 lasted 30 minutes, with a speed of 15mph Trip 2 lasted 75 minutes, with a speed of 40mph Trip 3
lasted 180 minutes, with a speed of 65mph
Answer:
First, convert each time given to hours. Then, calculate the distance traveled for each trip by creating
proportions: Trip 1: 30 min = 1/2, or 0.5 hour; , x = 7.5 miles Trip 2: 75 min = 5/4, or 1.25 hour; , y = 50
miles Trip 3: 180 min = 3 hours; , z = 195 miles Now, add all distances traveled for each trip: 7.5 + 50 +
195 = 252.5 miles
Question:
4. Algebraic thinking includes several characteristics. Which of the following statements is not a part of
algebraic thinking?
Answer:
Using manipulatives to reason about situations
Manipulatives are a tool that can be used to support reasoning (this is Mathematical Practice #5), but it is
not one of the three big ideas in algebraic thinking (the other choices name these three areas).
Question:
5. An input-output table shown: A-3 B-1 A-6 B-2 A-9 B-3
Answer:
a. A= B x 3
b. B= A/3
c. A=B x 2 + B
D. ALL OF THEM
To check, substitute all values in the table for the equations given. For example, 6 = 2 × 3.
, Question:
6. Crystal needs to buy bread for her party. She knows that one loaf will feed 8 people, and there are 371
people coming to her party. How many loaves of bread does she need to buy?
Answer:
47
In this problem, we know there will be 371 people at the party and one loaf of bread will feed 8 people.
Dividing 371 by 8 gives 46.375 which is not listed as an option. If she were to purchase 46 loaves of bread
she would not have enough bread for everyone. Therefore, she must purchase at least 47 loaves to feed
everyone.
Question:
7. Erica is working on her math homework. She has completed 12 problems, which represent 60% of her
homework. How many total problems are on Erica's homework?
Answer:
20
12 problems = 60% of x number of problems, so 12 = 0.6x. x=20.
Question:
8. Functions:
Answer:
describe a relationship between two variables and may be linear or not.
Functions describe a relationship between two variables; for example, you might say the cost of grapes is a
function of the weight of the grapes. Functions, like the grape example, can be linear, but other functions
are not. For example, the volume of a cube is a function of the length of its sides.
Question:
9. Henry works in a bank approving loans. Four bank customers have applied for a loan today, and Henry
has just researched their credit scores:
Customer Credit Score Mr. Allen 540 Mr. Weaver 710 Mrs. Butler 365 Ms. Kash 775
Henry has his choice of offering an interest rate of 0.75% or 2.50% on loans. Using only their credit scores
as guidance, which two customers should receive the 0.75% loan?
Answer:
Mr. Weaver and Ms. Kash
Lower interest rates are generally given to individuals with higher credit scores. Mr. Weaver and Ms. Kash
had the two highest scores, so they should receive the lower rate.
Question:
10. If a can weights 14 oz., how many cans would you need to have a ton? (Round your answer to the
nearest ones place and pick the best answer.)
Answer:
2,286
An easy way to solve this problem is to use basic algebra. Knowing that there are 16 oz. in a pound and
that there are 2,000 lbs. in a ton helps ease the difficulty of the problem. We want to find out the number of
cans x it will take to obtain a ton. Therefore, we have 14/16 X = 2000 . If both sides of the equation are
multiplied by 16 and then we divide both sides by 14, we will obtain the approximate number of cans it
will take to obtain one ton. X= 16 x 2000/14 = 32000/14 = 2285.9. We see that many of the answers are
close to this value. When we round this number, we will obtain 2,286.
AND CORRECT ANSWERS
Question:
1. A function is shown on the graph below.
x-0 y-6 x-1 y-7 x-2 y-8
Answer:
y=x+6
As shown in the table, in order to find the y-value, simply add 6 to the x-value. Therefore, the equation of
the line is y = x +
6.
Question:
2. A garden store buys clay pots from a distributor for $15 each and then sells them for $40 each in the
store. What is the profit of each pot as a percentage of the cost price paid to the distributor?
Answer:
166.7%
Profit = selling price - cost price = $25 $25 is what percent of $15? $25 = x%($15). x=166.67%
Question:
3. Trip 1 lasted 30 minutes, with a speed of 15mph Trip 2 lasted 75 minutes, with a speed of 40mph Trip 3
lasted 180 minutes, with a speed of 65mph
Answer:
First, convert each time given to hours. Then, calculate the distance traveled for each trip by creating
proportions: Trip 1: 30 min = 1/2, or 0.5 hour; , x = 7.5 miles Trip 2: 75 min = 5/4, or 1.25 hour; , y = 50
miles Trip 3: 180 min = 3 hours; , z = 195 miles Now, add all distances traveled for each trip: 7.5 + 50 +
195 = 252.5 miles
Question:
4. Algebraic thinking includes several characteristics. Which of the following statements is not a part of
algebraic thinking?
Answer:
Using manipulatives to reason about situations
Manipulatives are a tool that can be used to support reasoning (this is Mathematical Practice #5), but it is
not one of the three big ideas in algebraic thinking (the other choices name these three areas).
Question:
5. An input-output table shown: A-3 B-1 A-6 B-2 A-9 B-3
Answer:
a. A= B x 3
b. B= A/3
c. A=B x 2 + B
D. ALL OF THEM
To check, substitute all values in the table for the equations given. For example, 6 = 2 × 3.
, Question:
6. Crystal needs to buy bread for her party. She knows that one loaf will feed 8 people, and there are 371
people coming to her party. How many loaves of bread does she need to buy?
Answer:
47
In this problem, we know there will be 371 people at the party and one loaf of bread will feed 8 people.
Dividing 371 by 8 gives 46.375 which is not listed as an option. If she were to purchase 46 loaves of bread
she would not have enough bread for everyone. Therefore, she must purchase at least 47 loaves to feed
everyone.
Question:
7. Erica is working on her math homework. She has completed 12 problems, which represent 60% of her
homework. How many total problems are on Erica's homework?
Answer:
20
12 problems = 60% of x number of problems, so 12 = 0.6x. x=20.
Question:
8. Functions:
Answer:
describe a relationship between two variables and may be linear or not.
Functions describe a relationship between two variables; for example, you might say the cost of grapes is a
function of the weight of the grapes. Functions, like the grape example, can be linear, but other functions
are not. For example, the volume of a cube is a function of the length of its sides.
Question:
9. Henry works in a bank approving loans. Four bank customers have applied for a loan today, and Henry
has just researched their credit scores:
Customer Credit Score Mr. Allen 540 Mr. Weaver 710 Mrs. Butler 365 Ms. Kash 775
Henry has his choice of offering an interest rate of 0.75% or 2.50% on loans. Using only their credit scores
as guidance, which two customers should receive the 0.75% loan?
Answer:
Mr. Weaver and Ms. Kash
Lower interest rates are generally given to individuals with higher credit scores. Mr. Weaver and Ms. Kash
had the two highest scores, so they should receive the lower rate.
Question:
10. If a can weights 14 oz., how many cans would you need to have a ton? (Round your answer to the
nearest ones place and pick the best answer.)
Answer:
2,286
An easy way to solve this problem is to use basic algebra. Knowing that there are 16 oz. in a pound and
that there are 2,000 lbs. in a ton helps ease the difficulty of the problem. We want to find out the number of
cans x it will take to obtain a ton. Therefore, we have 14/16 X = 2000 . If both sides of the equation are
multiplied by 16 and then we divide both sides by 14, we will obtain the approximate number of cans it
will take to obtain one ton. X= 16 x 2000/14 = 32000/14 = 2285.9. We see that many of the answers are
close to this value. When we round this number, we will obtain 2,286.
