Practice Exam Answers

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Which statements about the function are true? Choose three correct answers.

A
The graph is increasing on the interval x is greater than negative 3 .
B
The graph is negative on the interval x is less than negative 4 .
C
The vertex of the function is at negative 3 comma negative 16 .
D
The vertex of the function is at negative 4 comma negative 15 .
E
The graph is positive only on the intervals where x is less than negative 7 and where x is greater than 1 .
3

What expressions can Mandisa use to represent the length and width of her yard?

A
2 x plus 2 and 5 x negative 7
B
5 x negative 2 and 2 x plus 7
C
x negative 2 and 10 x plus 7
D
10 x plus 2 and x negative 7
4

Which is true of the regression model?

A
The graph of the regression model is limited to whole-number values for y .
B
The graph of the regression model cannot be used to approximate the population size for year 1 .
C
The graph of the regression model is limited to whole-number values for x .
D
The graph of the regression model can be used to predict the population size for any number of years in the future.
5

Which statement must be true according to the box plot?

A
The data is symmetric and shows that the majority of the assignments had 19 problems or more.
B
The data is skewed and shows that the majority of the assignments had 19 problems or more.
C
The data is skewed and shows that half of the assignments contained 15 problems or fewer.
D
The data is symmetric and shows that half of the assignments contained 15 problems or fewer.
6

What are the dimensions of the cropped photo?

A
13 inches by 13 inches
B
8 inches by 8 inches
C
12 inches by 12 inches
D
9 inches by 9 inches
7

Which best describes the strength of the model?

A
a strong positive correlation
B
a weak negative correlation
C
a strong negative correlation
D
a weak positive correlation
8

A line of best fit for the data is represented by h is equal to negative 21 point 9 6 2 x plus 114 point 6 5 5 Which statement compares the line of best fit with the actual data given by the table?

A
The line of best fit correctly predicts that the object reaches a height of 40 meters after 3 point 5 seconds.
B
According to the line of best fit, the object would have hit the ground 0 point 6 seconds later than the actual time the object hit the ground.
C
According to the line of best fit, the object was dropped from a lower height.
D
The line of best fit predicts a height of 4 meters greater than the actual height for any time given in the table.
9

What are the factors of the polynomial?

A
open paren x plus 2 close paren and open paren x minus 3 close paren
B
open paren x minus 1 close paren and open paren x plus 3 close paren
C
open paren x plus 1 close paren and open paren x minus 3 close paren
D
open paren x minus 2 close paren and open paren x plus 3 close paren
10

Which statements are true about the residual plot and the equation for the line of best fit for the data? Choose two correct answers.

A
The equation for the line of best fit is a good approximation for the data because the points are random, having no pattern.
B
The points of the residual plot are spread evenly above and below the x -axis.
C
The residual plot has the pattern of a curve.
D
The residual plot has a linear pattern.
E
The equation for the line of best fit is not a good approximation for the data because the points have a curved pattern.
11

Omar noticed that he does not have a common factor. Which accurately describes what Omar should do next?

A
In Step 2, Omar should factor only out of the first expression.
B
Omar should realize that his work shows that the polynomial is prime.
C
Omar should go back and regroup the terms in Step 1 as open paren 3 x cubed minus 15 x squared close paren minus open paren 4 x plus 20 close paren .
D
Omar should factor out a negative from one of the groups so the binomials will be the same.
12

Which shows the correct values for the variables in the table?

A
A is equal to 18 , b is equal to 34 , c is equal to 65
B
A is equal to 34 , b is equal to 68 , c is equal to 47
C
A is equal to 47 , b is equal to 18 , c is equal to 68
D
A is equal to 34 , b is equal to 18 , c is equal to 68
14

Which is true regarding Armando’s use of algebra tiles?

A
He did not represent the two original factors correctly.
B
The signs on some of the products are incorrect.
C
He used the algebra tiles correctly.
D
Some of the products do not show the correct powers of x .
15

What is the range of g of x ?

A
all real numbers
B
all real numbers greater than 0
C
all real numbers less than or equal to 0
D
all real numbers less than 0
16

What is this function written in vertex form?

A
f of x is equal to open paren x plus 2 close paren squared plus 3
B
f of x is equal to open paren x squared plus 2 x close paren squared plus 3
C
f of x is equal to open paren x plus 3 close paren squared plus 2 x
D
f of x is equal to open paren x plus 1 close paren squared plus 2
17

An exponential growth function has an asymptote of y is equal to negative 3 Which might have occurred in the original function to permit the range to include negative numbers?

A
A whole number constant could have been added to the exponent.
B
A whole number constant could have been subtracted from the exponential expression.
C
A whole number constant could have been added to the exponential expression.
D
A whole number constant could have been subtracted from the exponent.
18

Which statement about f of x and its translation, g of x , is true? f of x is equal to 2 fifths to the x th power g⁡(x)=((2)/(5))^x−3

A
The range of g of x is, start set y such that y is greater than 0 end set and the range of f of x is start set y such that y is greater than negative 3 end set .
B
The asymptote of g of x is the asymptote of f of x shifted three units up.
C
The range of g of x is, start set y such that y is greater than 3 end set and the range of f of x is start set y such that y is greater than 0 end set .
D
The asymptote of g of x is the asymptote of f of x shifted three units down.
19

Which product of prime polynomials is equivalent to 4 x to the 5th power minus 6 x to the 4th power plus 4 x cubed minus 6 x squared ?

A
x squared open paren x squared plus 1 close paren open paren 2 x minus 3 close paren
B
2 x squared open paren x squared plus 1 close paren open paren 2 x minus 3 close paren
C
2 x squared open paren x squared minus 1 close paren open paren 2 x plus 3 close paren
D
2 open paren x squared minus 1 close paren open paren 2 x plus 3 close paren
20

Giselle graphs the function f of x is equal to x squared Robin graphs the function g of x is equal to negative x squared How does Robin’s graph relate to Giselle’s?

A
Robin’s graph is a translation of Giselle’s graph 1 unit down.
B
Robin’s graph is a translation of Giselle’s graph 1 unit left.
C
Robin’s graph is a reflection of Giselle’s graph over the x -axis.
D
Robin’s graph is a reflection of Giselle’s graph over the y -axis.

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