Systems and Sequences — Test Answers

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Which region represents the solution to the given system of inequalities? y is less than negative 1 half x y is greater than or equal to 2 x plus 3

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Vince wrote the given sequence. (1)/(3),1,(5)/(3),(7)/(3),... Which of the following explains whether the sequence is geometric?

The sequence is geometric because 3 was multiplied to each term to get the next term.

The sequence is not geometric because 2 thirds was added to each term to get the next term.

The sequence is not geometric because 3 was multiplied to each term to get the next term.

The sequence is geometric because 2 thirds was added to each term to get the next term.

Which statement describes the solution to the system of equations? 2 h plus 8 k is equal to 6 negative 5 h minus 20 k is equal to negative 15

The system has exactly one solution.

The system has no solutions.

The system has infinitely many solutions.

The system has exactly two solutions.

A charity bingo game costs 2 dollars per round and has a 13 dollars entry fee for an adult. It costs 3 dollars per round and a 10 dollars entry fee for a child. For how many rounds of bingo are the costs the same for an adult and a child?

What is the solution to the system of equations? 10 x plus 3 y is equal to 43 negative 9 x minus y is equal to negative 20

open paren 11 comma negative 1 close paren

open paren 11 comma 1 close paren

open paren negative 1 comma 11 close paren

open paren 1 comma 11 close paren

In their last basketball game, Becky scored twice as many points as Min. Together, they scored 42 points. How many points did Becky score?

28 points

14 points

22 points

21 points

The vertex of a parabola that opens downward is at open paren 0 comma 4 close paren The vertex of a second parabola is at open paren 0 comma negative 4 close paren If the parabolas intersect at two points, which statement must be true?

The second parabola opens downward.

The second parabola opens upward.

The points of intersection are on the x -axis.

The points of intersection are of equal distance from the y -axis.

Which ordered pair (c,d) is the solution to the given system of linear equations? negative c plus 2 d is equal to 13 negative 9 c minus 4 d is equal to negative 15

open paren negative 1 comma 6 close paren

open paren 7 comma 10 close paren

open paren 6 comma negative 1 close paren

open paren negative 1 comma 7 close paren

Which system is equivalent to the given system? 3 x squared minus 4 y squared is equal to 25 negative 6 x squared minus 2 y squared is equal to 11

3 x squared minus 4 y squared is equal to 25 negative 12 x squared plus 4 y squared is equal to 22

6 x squared minus 8 y squared is equal to 50 negative 6 x squared minus 2 y squared is equal to 11

6 x squared minus 8 y squared is equal to 25 negative 6 x squared minus 2 y squared is equal to 11

3 x squared minus 4 y squared is equal to 25 12 x squared plus 4 y squared is equal to 22

Which of the following is an arithmetic sequence?

negative 7 over 11 comma 6 over 11 comma negative 5 over 11 comma 4 over 11 comma dot dot dot

negative 3 fourths comma negative 3 fifths comma negative 3 sixths comma negative 3 sevenths comma dot dot dot

3 fourths comma negative 3 halves comma 3 comma negative 6 comma dot dot dot

1 half comma 2 comma 7 halves comma 5 comma dot dot dot

Which graph represents a geometric sequence?

Image with description A coordinate plane with a horizontal x-axis labeled from 1 to 9 in increments of 1 unit and a vertical y-axis labeled from 10 to 100 in increments of 10 units, with grid lines. Ten solid dots are plotted following an upward curve from left to right. Each dot is labeled with its coordinates, which are 0 comma 0, 1 comma 1, 2 comma 4, 3 comma 9, 4 comma 16, 5 comma 25, 6 comma 36, 7 comma 49, 8 comma 64, and 9 comma 81.

Image with description On the coordinate plane, the x axis is marked from 0 to 10 with an interval of 1 unit and the y axis is marked from 0 to 100 with an interval of 10 units. The points (0 comma 100), (1 comma 50), (2 comma 25), (3 comma 12 point 5), and (4 comma 6 point 25) are plotted on the graph. The points are labeled on the graph with the coordinates.

Image with description A coordinate plane with a horizontal x-axis labeled from 1 to 9 in increments of 1 unit and a vertical y-axis labeled from 10 to 100 in increments of 10 units, with grid lines. Ten solid dots are plotted along a straight line sloping upward from left to right. Each dot is labeled with its coordinates, which are 0 comma 0, 1 comma 10, 2 comma 20, 3 comma 30, 4 comma 40, 5 comma 50, 6 comma 60, 7 comma 70, 8 comma 80, and 9 comma 90.

Image with description On the coordinate plane, the x axis is marked from 0 to 10 with an interval of 1 unit and the y axis is marked from 0 to 100 with an interval of 10 units. The points (0 comma 100), (1 comma 50), and (2 comma 0) are plotted on the graph. The points are labeled on the graph with the coordinates.

What are the first three terms of a geometric sequence in which A sub 5 is equal to 25 and the common ratio is 5 ?

1 over 25 comma 1 fifth comma 1

25 comma 125 comma 625

125 comma 25 comma 5

1 over 25 comma 1 over 125 comma 1 over 625

Which ordered pair open paren A comma b close paren is the solution to the following system of equations? negative 2 A plus 3 b is equal to 14 A minus 4 b is equal to 3

open paren 16 and 10 over 11 comma 8 over 11 close paren

open paren negative 4 comma negative 13 close paren

open paren negative 13 comma negative 4 close paren

open paren negative 4 comma 13 close paren

Which equation can pair with x minus y is equal to negative 2 to create a consistent and dependent system?

4 x minus 4 y is equal to 6

negative 8 x minus 3 y is equal to 2

6 x plus 2 y is equal to 15

negative 3 x plus 3 y is equal to 6

Michael is paid 9 dollars per hour to work at the movie theater and 7 dollars per hour when he helps his aunt at her bakery. Michael cannot work more than 32 hours in a week, but he wishes to earn at least 251 dollars each week. Which weekly work schedule is within Michael’s constraints?

8 hours at the movie theater and 25 hours at the bakery

19 hours at the movie theater and 12 hours at the bakery

21 hours at the movie theater and 8 hours at the bakery

15 hours at the movie theater and 20 hours at the bakery

What is one of the solutions to the following system? y minus 3 is equal to x x squared minus 6 x plus 13 is equal to y

open paren 8 comma 5 close paren

open paren 2 comma 5 close paren

open paren negative 5 comma 2 close paren

open paren negative 2 comma 1 close paren

Which statement describes the system of equations? negative 5 x minus 4 y is equal to negative 4 25 x plus 20 y is equal to 20

The system has infinitely many solutions.

It has one solution open paren 8 comma negative 9 close paren .

The system has no solution.

It has one solution open paren 4 comma negative 4 close paren .

A small fair charges an admission fee for children and adults. The cost for admission is 3 dollars per adult and 2 dollars per child. On a certain day, total admission fees were 900 dollars , and 350 people attended the fair. How many children attended the fair that day?

150 children

320 children

80 children

200 children

The relationship between women’s whole-number shoe sizes and foot lengths is an arithmetic sequence, where A sub n is the foot length in inches that corresponds to a shoe size of n A women’s size 7 fits a foot 9 and 1 third inches long, and a women’s size 12 fits a foot 11 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary.

A sub n is equal to 7 plus 0 point 3 3 times open paren n minus 1 close paren

A sub n is equal to negative 17 point 9 1 plus 2 point 9 9 times open paren n minus 1 close paren

A sub n is equal to 7 point 3 5 plus 0 point 3 3 times open paren n minus 1 close paren

A sub n is equal to negative 5 plus 2 point 9 9 times open paren n minus 1 close paren

Which statement correctly explains how Andre could find the solution to the following system of linear equations using elimination? 8 s minus 9 t is equal to 15 7 s minus 2 t is equal to 12

Multiply the first equation by negative 7 and the second equation by 8 , and then subtract.

Multiply the first equation by 2 and the second equation by 9 , and then add.

Multiply the first equation by negative 2 and the second equation by 9 , and then subtract.

Multiply the first equation by negative 7 and the second equation by 8 , and then add.

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Systems and Sequences — Test Answers

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