AnswersAlgebra IIRelationships Between Quantities

Relationships Between Quantities — Test Answers

25 verified answers
1
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Whose work is correct?

A
Elise’s work
B
Xiao’s work
C
Jake’s work
D
Malik’s work
2
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What is the vertex of the absolute value function?

A
open paren 4 comma 1 close paren
B
open paren 1 comma negative 4 close paren
C
open paren 1 comma 4 close paren
D
open paren 4 comma negative 1 close paren
3

Each week, Rosario drives to an ice-skating rink that is 60 miles away. The round-trip takes 2 point 7 5 hours. If he averages 55 miles per hour on his way to the rink, which equation can be used to find x , the number of miles per hour he averages on his way home?

A
open paren 60 over 55 close paren times open paren 60 over x close paren is equal to 2 point 7 5
B
60 times 55 plus 60 x is equal to 2 point 7 5
C
open bracket 60 times 55 close bracket times 60 x is equal to 2 point 7 5
D
60 over 55 plus 60 over x is equal to 2 point 7 5
4

Which algebraic expression represents the phrase “seven more than half of a number”?

A
negative 7 plus 1 half x
B
7 minus 1 half x
C
1 half x plus 7
D
negative 1 half x minus 7
5

The standard diameter of a golf ball is 42 point 6 7 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0 point 0 0 2 mm. Which function could represent this situation?

A
f of x is equal to start absolute value 42 point 6 7 minus x end absolute value
B
f of x is equal to 42 point 6 7 minus absolute value of x
C
f of x is equal to absolute value of x minus 42 point 6 7
D
f of x is equal to x minus absolute value of 42 point 6 7
7

Which graph represents y minus 1 is equal to 2 times open paren x minus 2 close paren ?

A
Image with description On a coordinate plane with x and y axes marked with negative 6 to 6, there is a straight line with a positive slope passing through the points (negative 2 comma negative 5), (0 comma negative 1), (0 point 5 comma 0) and (2 comma 3).
B
Image with description On a coordinate plane with x and y axes marked with negative 6 to 6, there is a straight line with a negative slope passing through the points (0 comma 4) and (2 comma 0).
C
Image with description On a coordinate plane with x and y axes marked with negative 6 to 6, there is a straight line with a negative slope passing through the points (0 comma 2), (1 comma negative 1).
D
Image with description On a coordinate plane with x and y axes marked with negative 6 to 6, there is a straight line with a positive slope passing through the points (0 comma negative 3), (1 point 5 comma 0) and (3 comma 3).
8

Which is the solution set of the compound inequality 3 point 5 x minus 10 is greater than negative 3 and 8 x minus 9 is less than 39 ?

A
2 is less than x comma x is less than 3 and 3 fourths
B
negative 2 is less than x comma x is less than 6
C
negative 2 is less than x comma x is less than 3 and 3 fourths
D
2 is less than x comma x is less than 6
9

The formula for the area of a trapezoid is cap A is equal to 1 half open paren b sub 1 plus b sub 2 close paren h When this equation is solved for b sub 1 , one equation is b sub 1 is equal to 2 cap A over h minus b sub 2 Which of the following is an equivalent equation to find b sub 1 ?

A
b sub 1 is equal to 2 cap A minus b sub 2 h
B
b sub 1 is equal to the fraction with numerator 2 cap A minus b sub 2 h and denominator h
C
b sub 1 is equal to the fraction with numerator h and denominator 2 cap A minus b sub 2 h
D
b sub 1 is equal to h of open paren 2 cap A minus b sub 2 h close paren
10

What is the solution to the inequality start absolute value 2 n plus 5 end absolute value is greater than 1 ?

A
2 is less than n comma n is less than 3
B
negative 3 is greater than n comma n is greater than negative 2
C
n is less than negative 3 or n is greater than negative 2
D
n is less than 2 or n is greater than 3
11

Which statement is true about f of x is equal to negative 2 thirds start absolute value x plus 4 end absolute value minus 6 ?

A
The graph of f of x has a domain of x is less than or equal to negative 6 .
B
The graph of f of x has a vertex of open paren negative 4 comma 6 close paren .
C
The graph of f of x is a horizontal stretch of the graph of the parent function.
D
The graph of f of x opens upward.
12

Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution set of this problem?

A
x is less than negative 1
B
x is less than negative 5
C
x is greater than negative 5
D
x is greater than negative 1
13

Which property of real numbers is shown? 3 plus open paren negative 5 plus 6 close paren is equal to open paren 3 plus negative 5 close paren plus 6

A
commutative property of addition
B
identity property of multiplication
C
commutative property of multiplication
D
associative property of addition
14

A salesperson earns 200 dollars a week plus a 4 percent commission on her sales. Which equation models the relationship between her sales in a given week, s , and her weekly earnings, e ?

A
e is equal to 200 s plus 4
B
e is equal to 4 over 100 s plus 200
C
e is equal to the fraction with numerator 200 s plus 4 and denominator 100
D
e is equal to 4 s plus 200
15

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26 What is the solution set of this problem?

A
open paren 21 comma plus infinity close paren
B
left bracket negative 21 comma plus infinity right parenthesis
C
open paren negative infinity comma negative 21 close paren
D
left parenthesis negative infinity comma negative 21 right bracket
16

Jamilla solved the inequality |x+b|⁢◻ 2 and graphed the solution as shown. Open image in full-screen view What is the value of b and the missing symbol in Jamilla’s inequality?

A
b is equal to 1 , is less than or equal to
B
b is equal to negative 1 , is less than or equal to
C
b is equal to 1 , is greater than or equal to
D
b is equal to negative 1 , is greater than or equal to
18

Which of the following is an example of why irrational numbers are not closed under addition?

A
square root of 10 plus open paren negative square root of 10 close paren is equal to 0 , and 0 is not irrational
B
square root of 4 plus square root of 4 is equal to 2 plus 2 is equal to 4 , and 4 is not irrational
C
1 half plus 1 half is equal to 1 , and 1 is not irrational
D
negative 3 plus 3 is equal to 0 , and 0 is not irrational
19

Which equation represents a nonlinear function?

A
3 y plus 6 times open paren 2 minus x close paren is equal to 5
B
y minus 2 times open paren x plus 9 close paren is equal to 0
C
x times open paren y minus 5 close paren is equal to 2
D
2 times open paren y plus x close paren is equal to 0
20

Given the equation the fraction with numerator 2 x plus 2 and denominator y is equal to 4 w plus 2 what is the value of x ?

A
x is equal to 2 y w plus y minus 2
B
x is equal to 4 y w plus 2 y minus 2
C
x is equal to 2 y w plus y minus 1
D
x is equal to y w plus y minus 1

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