AnswersCMS 2026-2027 NC Math 1 CREDIT RECOVERYComparing Functions and Geometric Properties

Comparing Functions and Geometric Properties — Test Answers

25 verified answers
1
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What is the area of triangle LMN ?

A
12 square units
B
14 square units
C
24 square units
D
15 square units
2
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Which function represents the area of the rectangle?

A
12 x squared minus 8 x minus 10
B
12 x squared plus 7 x minus 10
C
12 x squared plus 15 x minus 10
D
12 x squared plus 7 x plus 10
3

What is the perimeter of rectangle EFGH ?

A
2 square root of 10 plus 2 square root of 29 units
B
square root of 10 plus square root of 29 units
C
39 units
D
22 units
5

The midpoint of line segment mathrm cap k cap l is cap m times open paren 2 comma 7 close paren One endpoint is cap k times open paren negative 5 comma 11 close paren Which equations can be used to find the coordinates of endpoint cap l times open paren x sub 2 comma y sub 2 close paren ?

A
the fraction with numerator 2 plus x sub 2 and denominator 2 is equal to 11 comma the fraction with numerator 7 plus y sub 2 and denominator 2 is equal to negative 5
B
the fraction with numerator negative 5 plus x sub 2 and denominator 2 is equal to 7 comma the fraction with numerator 11 plus y sub 2 and denominator 2 is equal to 2
C
the fraction with numerator 2 plus x sub 2 and denominator 2 is equal to negative 5 comma the fraction with numerator 7 plus y sub 2 and denominator 2 is equal to 11
D
the fraction with numerator negative 5 plus x sub 2 and denominator 2 is equal to 2 comma the fraction with numerator 11 plus y sub 2 and denominator 2 is equal to 7
6

Which expression represents the growth of an investment of 1,500 dollars at 12 percent per year for a period of t years?

A
1500 t raised to the 1 point 1 2 power
B
1500 times 1 point 1 2 to the t th power
C
1500 times 12 to the t th power
D
1500 times 0 point 1 2 to the t th power
7

Study the equations : f of x is equal to 6 x plus 7 g of x is equal to 4 x minus 2 What is h of x is equal to f x g x ?

A
h of x is equal to 24 x squared plus 12 x minus 14
B
h of x is equal to 24 x squared plus 16 x minus 14
C
h of x is equal to 24 x squared minus 14
D
h of x is equal to 24 x squared plus 40 x plus 14
8

Which expressions are quadratic expressions? Choose two correct answers.

A
2 x plus 7 x minus 10
B
500 times 0 point 2 5 raised to the t minus 1 power
C
13 x cubed plus 21 x squared minus 5
D
2 x squared plus 9 x minus 7
E
z squared
9

Find the coordinates of cap m , the midpoint of line segment UV , for cap u times open paren negative 4 comma 2 close paren and cap v times open paren 6 comma 10 close paren

A
cap m times open paren 2 comma 12 close paren
B
cap m times open paren negative 5 comma negative 4 close paren
C
cap m times open paren negative 1 comma 8 close paren
D
cap m times open paren 1 comma 6 close paren
10

The midpoint of line segment AB is cap m times open paren 12 comma negative 3 close paren One endpoint is cap A times open paren 3 comma negative 8 close paren Find the coordinates of endpoint cap b

A
open paren negative 6 comma negative 13 close paren
B
open paren 21 comma 2 close paren
C
open paren 17 comma 6 close paren
D
open paren 7 point 5 comma negative 5 point 5 close paren
11

Determine which statements about h of x and about the reservoirs are true. Choose two correct answers.

A
Reservoir A releases the same amount of water as Reservoir B over 1 week.
B
h of x is equal to negative 2 x squared minus x plus 3
C
Reservoir A releases less water than Reservoir B over 1 week.
D
Reservoir A releases more water than Reservoir B over 1 week.
E
h of x is equal to negative 2 x squared minus 13 x plus 6
12

Which statement proves that triangle XYZ is an isosceles right triangle?

A
The slope of line segment XZ is 3 fourths , the slope of line segment XY is negative 4 thirds , and the slope of line segment ZY is equal to 7 .
B
The slope of line segment XZ is 3 fourths , the slope of line segment XY is negative 4 thirds , and XZ is equal to XY is equal to 5 .
C
XZ is equal to XY is equal to 5
D
line segment XZ perpendicular to line segment XY
13

Which equation describes the relationship between the variables in the table?

A
y is equal to 9 to the x th power ; each y -value is the previous y -value multiplied by another 9 .
B
y is equal to 9 x squared ; each y -value is the previous y -value plus 9 more than was added previously.
C
y is equal to x to the 9th power ; each y -value is the previous y -value multiplied by 9 .
D
y is equal to 9 x ; each y -value is the previous y -value plus 9 .
14

What is the area of parallelogram RSTU ?

A
26 square units
B
38 square units
C
24 square units
D
32 square units
16

In the diagram, SR is equal to 4 square root of 2 and QR is equal to square root of 10 What is the perimeter of parallelogram PQRS ?

A
16 square root of 2 units
B
square root of 10 units
C
8 square root of 2 plus 2 square root of 10 units
D
8 square root of 2 plus 8 units
17

How do the functions compare over the interval 0 is less than or equal to x comma x is less than or equal to 1 ?

A
The exponential grows at approximately the same rate as the quadratic.
B
The exponential grows at approximately twice the rate of the quadratic.
C
The exponential grows at approximately four times the rate of the quadratic.
D
The exponential grows at approximately half the rate of the quadratic.
18

What is the area of parallelogram RSTU ?

A
24 square units
B
28 square units
C
21 square units
D
32 square units
19

How does the area of triangle ABC compare to the area of parallelogram GHJK ?

A
The area of triangle ABC is 1 square unit less than the area of parallelogram GHJK .
B
The area of triangle ABC is 2 square units greater than the area of parallelogram GHJK .
C
The area of triangle ABC is 1 square unit greater than the area of parallelogram GHJK .
D
The area of triangle ABC is equal to the area of parallelogram GHJK .
20

Which of the following describes the growth rate of the exponential function in the graph?

A
For each x increase of 1 , the y increases by a common difference of 3 .
B
For each x increase of 1 , the y increases by a common factor of 3 .
C
For each x increase of 1 , the y increases by 4 more than the previous increase.
D
For each x increase of 1 , the y increases by doubling and then adding 1 .

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