AnswersAlgebra IIRelationships Between Quantities

Practice Test Answers

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Which graph shows the solution set of the compound inequality 1 point 5 x minus 1 is greater than 6 point 5 or 7 x plus 3 is less than negative 25 ?

A
Image with description A number line lists negative 10 to 10 by 5. An open circle on negative 4 and another one on 5, and the arrows go in opposite directions.
B
Image with description A number line lists negative 10 to 10 by 5. An open circle is on 5, and the arrow goes to the right of 5.
C
Image with description A number line lists negative 10 to 10 by 5. An open circle on negative 4 and an arrow goes to the left of negative 4.
D
Image with description A number line lists negative 10 to 10 by 5. An open circle is on negative 4, and another one is on 5 are connected.
2
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Which equation shows the commutative property of addition?

A
open paren 2 plus 7 close paren plus 12 is equal to 2 plus open paren 7 plus 12 close paren
B
4 plus 3 is equal to 3 plus 4
C
4 plus 0 is equal to 4
D
1 times 3 is equal to 3
3

Which equation represents a linear function?

A
y times open paren y minus 1 close paren is equal to x plus 25
B
y minus 5 is equal to x minus 20
C
y minus 5 is equal to x times open paren negative x plus 2 close paren
D
y times open paren x minus 1 close paren is equal to 9
4

Which statement is true about f of x plus 2 is equal to 1 sixth start absolute value x minus 3 end absolute value ?

A
The graph of f of x has a vertex of open paren negative 3 comma 2 close paren .
B
The graph of f of x has range of f of x is greater than or equal to negative 2 .
C
The graph of f of x opens downward.
D
The graph of f of x is a horizontal compression of the graph of the parent function.
5

Which graph shows the solution to the inequality start absolute value x plus 3 end absolute value is greater than or equal to 2 ?

A
Image with description A number line marked as x ranges from negative 6 to 6 in intervals of 1. Closed circles are on negative 5 and negative 1 and are connected.
B
Image with description A number line marked as x ranges from negative 6 to 6 in intervals of 1. Closed circles are on 1 and 5 and are connected.
C
Image with description A number line marked as x ranges from negative 6 to 6 in intervals of 1. Closed circles are on 1 and 5 and are going in the opposite direction.
D
Image with description A number line marked as x ranges from negative 6 to 6 in intervals of 1. Closed circles are on negative 5 and negative 1 and are going in the opposite direction.
6

The formula to determine energy is cap e is equal to 1 half m v squared What is the formula solved for v ?

A
v is equal to plus or minus square root of m over 2 cap e end root
B
v is equal to plus or minus square root of 2 cap e minus m end root
C
v is equal to 2 cap e minus m
D
v is equal to plus or minus square root of 2 cap e over m end root
7

Layna can paint a 350-square foot room in 4 hours. It takes Bebe 7 hours to paint the same room. Which equation can be used to find the time in hours, t, it takes Layna and Bebe to paint the room together? Rate (Rooms per Hour) Time (Hours) Fraction Completed Layna 1 fourth Bebe 1 seventh

A
1 fourth t plus 1 seventh t is equal to 1
B
4 t minus 7 t is equal to 1
C
4 t plus 7 t is equal to 1
D
1 fourth t times 1 seventh t is equal to 1
8

Which of the following is the graph of f of x is equal to 3 start absolute value x minus 4 end absolute value plus 1 ?

A
Image with description On a coordinate plane, the scale on the x axis ranges from negative 1 to 9 in increments of 1, and the scale on the y axis ranges from negative 3 to 7 in increments of 1. The V-shaped graph opening upward has a vertex at (4 comma 1) and the graph passes through the points (3 comma 4) and (5 comma 4).
B
Image with description On a Cartesian coordinate system, the x-axis labeled from negative 9 to 1 in increments of 1 and y-axis labeled from negative 7 to 3 in increments of 1. A v shaped curve is plotted. The curve's vertex is at (negative 4 comma 1). From this point, the curve opens downwards, with its left branch passing through (negative 5 comma negative 2) and (negative 6 comma negative 5), and its right branch passing through (negative 3 comma negative 2) and (negative 2 comma negative 5).
C
Image with description On a Cartesian coordinate system, the x-axis labeled from negative 8 to 2 in increments of 1 and y-axis labeled from negative 3 to 7 in increments of 1. A v shaped curve is plotted. The curve's vertex is at (negative 4 comma negative 1). From this point, the curve opens upwards, with its left branch passing through (negative 5 comma 2) and (negative 6 comma 5), and its right branch passing through (negative 3 comma 2) and (negative 2 comma 5).
D
Image with description On a Cartesian coordinate system, the x-axis labeled from negative 3 to 7 in increments of 1 and y-axis labeled from negative 7 to 3 in increments of 1. A v shaped curve is plotted. The curve's vertex is at (4 comma negative 1). From this point, the curve opens downwards, with its left branch passing through (3 comma negative 4) and (2 comma negative 7), and its right branch passing through (5 comma negative 4) and (6 comma negative 7).
9

Which graph shows all the values that satisfy 2 ninths x plus 3 is greater than 4 and 5 ninths ?

A
Image with description A number line lists negative 10 to 10 by 5. An open circle is on negative 7. An arrow goes to the right of negative 7.
B
Image with description A number line lists negative 10 to 10 by 5. An open circle is on 7. An arrow goes to the right of 7.
C
Image with description A number line lists negative 10 to 10 by 5. An open circle is on 7. An arrow goes to the left of 7.
D
Image with description A number line lists negative 10 to 10 by 5. An open circle is on negative 7. An arrow goes to the left of negative 7.
10

It takes Franklin 14 hours to make a 200 -square-foot cement patio. It takes Scott 10 hours to make the same size patio. Which equation can be used to find x , the number of hours it would take Franklin and Scott to make the patio together?

A
1 over 14 x plus 1 tenth x is equal to 1
B
14 x minus 10 x is equal to 200
C
14 x plus 10 x is equal to 200
D
1 over 14 x minus 1 tenth x is equal to 1
11

Fuaad solved an absolute value inequality and expressed the solution as negative 12 is less than x comma x is less than 7 What is another way to show Fuaad’s solution?

A
left parenthesis negative 12 comma 7 right bracket
B
the union of open paren infinity close paren and open paren 7 close paren
C
start set x such that x is greater than negative 12 or x comma negative 12 or x is less than 7 end set
D
start set x such that negative 12 is less than x comma x is less than 7 end set
12

Which description could be written as a linear function?

A
ten more than the square of a number
B
eight more than twice a number
C
nine more than one divided by a number
D
three more than the product of two numbers
13

Celo used the simple interest formula cap A is equal to cap p times open paren 1 plus r t close paren to calculate the interest he earned on his savings last month. Which equation is equivalent to the simple interest formula?

A
cap p is equal to the fraction with numerator cap A and denominator 1 plus r t
B
cap p is equal to the fraction with numerator 1 plus r t and denominator cap A
C
cap p is equal to cap A plus open paren 1 plus r t close paren
D
cap p is equal to cap A minus open paren 1 plus r t close paren
14

Which of the following sets is closed under subtraction?

A
whole numbers
B
irrational numbers
C
integers
D
natural numbers

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