AnswersTransition Mathematics for SeniorsRepresenting Relationships

Representing Relationships — Test Answers

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1
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Which justifies Step 6 of his work?

A
the addition property of equality
B
the identity property of addition
C
the identity property of multiplication
D
the multiplication property of equality
2
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What is the solution to the inequality 5 point 2 5 minus b is greater than or equal to 6 point 5 ?

A
Image with description A number line going from negative 5 to positive 5. An open circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5.
B
Image with description A number line going from negative 5 to positive 5. A solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to positive 5.
C
Image with description A number line going from negative 5 to positive 5. A solid circle appears between negative 1 and negative 2. The number line is shaded from the circle to negative 5.
D
Image with description A number line going from negative 5 to positive 5. An open circle appears between negative 1 and negative 2. The number line is shaded from the circle to positive 5.
3

In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles. How far apart are the police station and the fire station?

A
3 miles
B
6 miles
C
1 mile
D
4 miles
4

The soccer team collected 800 dollars at a car wash fundraiser. They charged 5 point 0 0 dollars for small vehicles and 10 point 0 0 dollars for larger vehicles. The amount collected can be modeled by the equation 5 x plus 10 y is equal to 800 , where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50 , how many small vehicles were washed in total?

A
55
B
60
C
150
D
130
5

The acceleration of an object due to gravity is 32 feet per second squared. What is acceleration due to gravity in inches per second squared?

A
2 and 2 thirds inches per second squared
B
384 inches per second squared
C
1,024 inches per second squared
D
3 eighths inches per second squared
6

Diep buys a loaf of bread 65 centimeters long. For lunch every afternoon, he cuts 15 centimeters of bread for his sandwich. Diep wants to determine the length of the loaf of bread, l , after d days. What is the equation of the scenario? Is the graph of the equation continuous or discrete?

A
65 is equal to l minus 15 d ; discrete
B
l is equal to 65 minus 15 d ; discrete
C
65 is equal to l minus 15 d ; continuous
D
l is equal to 65 minus 15 d ; continuous
7

What is the value of s in the equation 3 r is equal to 10 plus 5 s , when r is equal to 10 ?

A
4
B
100
C
200
D
8
8

A store sells notebooks for 3 dollars each and does not charge sales tax. If x represents the number of notebooks Adele buys and y represents the total cost of the notebooks she buys, which best describes the values of x and y ?

A
The value of x can be any integer, and y will be an integer.
B
The value of x can be any real number greater than or equal to 0 , and y will be a real number greater than or equal to 0 .
C
The value of x can be any integer greater than or equal to 0 , and y will be an integer greater than or equal to 0 .
D
The value of x can be any real number, and y will be a real number.
9

The solution to an inequality is given in set-builder notation as start set x such that x is greater than 2 thirds end set What is another way to represent this solution set?

A
open paren 2 thirds comma infinity close paren
B
left parenthesis negative infinity comma 2 thirds right bracket
C
open paren negative infinity comma 2 thirds close paren
D
left bracket 2 thirds comma infinity right parenthesis
10

Three ounces of cinnamon cost 2 dollars 40 cents If there are 16 ounces in 1 pound, how much does cinnamon cost per pound?

A
38 dollars 40 cents
B
12 dollars 80 cents
C
115 dollars 20 cents
D
31 dollars 20 cents
11

On a science test, 2 points are deducted from a total of 100 points for each question answered incorrectly. Trevor scored an 84 on the test. The equation 100 minus 2 x is equal to 84 , where x represents the number of questions answered incorrectly, represents the situation. How many questions did Trevor answer incorrectly?

A
9 questions
B
8 questions
C
12 questions
D
13 questions
12

What is the first step in solving the inequality the fraction with numerator m minus 2 and denominator 6 is less than negative 1 ?

A
Add 2 to both sides.
B
Change the direction of the inequality.
C
Change the inequality to is less than or equal to .
D
Multiply both sides by 6 .
13

Which graph could represent y , the amount owed on a car loan, as regular payments are made each month, x ?

A
Image without description
B
Image without description
C
Image without description
D
Image without description
14

Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5 point 3 seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of seconds Lola needs to sign all 96 invitations?

A
508 seconds
B
509 seconds
C
510 seconds
D
508 point 8 seconds
15

Which graph shows the equation c is equal to 10 plus 3 t , where c is the total cost of going to the carnival and t is the number of 3 dollars tickets purchased?

A
Image with description On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0 comma 3), (1 comma 13), (2 comma 24), (3 comma 34), (4 comma 43), (5 comma 54).
B
Image with description On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0 comma 10) and ends around point (6 comma 60).
C
Image with description On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0 comma 10) and ends at point (6 comma 27).
D
Image with description On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0 comma 10), (1 comma 14), (2 comma 16), (3 comma 19), (4 comma 22), (5 comma 25), (6 comma 28).
16

At a grocery store, blueberries come packaged in 8 -ounce containers for 2 point 8 0 dollars At a farmer's market, blueberries cost 4 point 2 0 dollars for 14 ounces. There are 16 ounces in one pound. Which statement accurately compares the cost of blueberries?

A
Blueberries are 0 point 8 0 dollars per pound less expensive at the farmer’s market.
B
Blueberries are 0 point 2 3 dollars per pound more expensive at the farmer’s market.
C
Blueberries are 0 point 5 0 dollars per pound less expensive at the farmer’s market.
D
Blueberries are 1 point 4 0 dollars per pound more expensive at the farmer’s market.
17

Verona is solving the equation negative 3 plus 4 x is equal to 9 In order to isolate the variable term using the addition property of equality, which number should she add to both sides of the equation?

A
negative 3
B
3
C
negative 4
D
4
18

The yearbook club has 5 members returning from last year. They set up a booth in the cafeteria to recruit more members, and an average of 3 new members sign up each day. Which best describes why the graph relating the total number of members on the yearbook club, m , and the number of days the booth is set up, d , will be continuous or discrete?

A
The graph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups.
B
The graph will be discrete because some day the number of available people to sign up for the club will run out.
C
The graph will be continuous because an end day for the booth being set up is not given in the description.
D
The graph will be continuous because there can be any number of people signing up each day since we are only given the average.
19

The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2 l plus 2 w is equal to 16 , where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle?

A
10 in.
B
9 in.
C
7 in.
D
8 in.
20

What are the steps to solving the inequality 3 b plus 8 is greater than or equal to 14 ?

A
Divide both sides of the inequality by 3 . Subtract 8 from both sides of the inequality.
B
Subtract 8 from both sides of the inequality. Divide both sides of the inequality by 3 .
C
Subtract 8 from both sides of the inequality. Change the direction of the inequality. Divide both sides of the inequality by 3 .
D
Divide both sides of the inequality by 3 . Change the direction of the inequality. Subtract 8 from both sides of the inequality.

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