AnswersAlgebra IISystems and Sequences

Practice Test Answers

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Which system is equivalent to the given system? y is equal to 9 x squared x plus y is equal to 5

A
y is equal to 3 x x plus 3 x is equal to 5
B
5 minus x is equal to 9 x squared y is equal to 5 minus x
C
5 plus x is equal to 9 x squared y is equal to 5 plus x
D
y is equal to 9 y squared minus 90 y plus 225 x is equal to y minus 5
3

Which statement describes the system of equations? 27 minus 9 x is equal to negative 7 y 45 plus 7 y is equal to 9 x

A
The system has one solution open paren 4 comma 9 sevenths close paren .
B
The system has no solution.
C
The system has one solution open paren 9 sevenths comma 4 close paren .
D
The system has infinitely many solutions.
4

What is one solution of the following system? 2 y minus 2 x is equal to 12 x squared plus y squared is equal to 36

A
open paren negative 6 comma 0 close paren
B
open paren 4 comma negative 2 close paren
C
open paren 0 comma negative 6 close paren
D
open paren negative 2 comma 4 close paren
7

What is the explicit formula for the arithmetic sequence 4 fifths comma 29 over 30 comma 17 over 15 comma 13 tenths ?

A
A sub n is equal to 1 sixth plus 4 fifths times open paren n minus 1 close paren
B
A sub n is equal to 4 fifths plus open paren negative 1 sixth close paren times open paren n minus 1 close paren
C
A sub n is equal to negative 1 sixth plus 4 fifths times open paren n minus 1 close paren
D
A sub n is equal to 4 fifths plus 1 sixth times open paren n minus 1 close paren
8

Samuel wants to buy at least twice as many graphic novels as comic books. Comic books sell for 7 dollars each, and graphic novels sell for 12 dollars each. Samuel can spend a maximum of 50 dollars Let c represent the number of comic books, and let g represent the number of graphic novels. Which system of inequalities can be used to find the number of comic books and graphic novels Samuel can buy?

A
c is less than or equal to 2 g 7 c plus 12 g is less than or equal to 50 c is greater than or equal to 0 g is greater than or equal to 0
B
c plus g is less than or equal to 50 7 c plus 12 g is greater than or equal to 2 c is greater than or equal to 0 g is greater than or equal to 0
C
2 c is less than or equal to g 7 c plus 12 g is less than or equal to 50 c is greater than or equal to 0 g is greater than or equal to 0
D
c plus g is less than or equal to 50 c plus g is greater than or equal to 2 c is greater than or equal to 7 g is greater than or equal to 12
9

Which ordered pair (r, s) is the solution to the given system of equations? 5 r plus 7 s is equal to 61 negative 5 r plus 7 s is equal to negative 19

A
open paren 1 comma negative 2 close paren
B
open paren 3 comma 8 close paren
C
open paren 8 comma 3 close paren
D
open paren 1 comma 8 close paren
10

Khalid wrote the given sequence. x minus 1 comma negative 2 x plus 2 comma 4 x minus 4 comma negative 8 x plus 8 comma dot dot dot Which formula can be used to find the 10 th term of the sequence?

A
A sub 10 is equal to open paren x minus 1 close paren times negative 2 to the 10th power
B
A sub 10 is equal to open paren x minus 1 close paren raised to the 10 minus 1 power
C
A sub 10 is equal to open paren x minus 1 close paren times 2 raised to the 10 minus 1 power
D
A sub 10 is equal to open paren x minus 1 close paren times negative 2 raised to the 10 minus 1 power
12

What is the point of intersection when the system of equations is graphed on the coordinate plane? negative x plus y is equal to 4 6 x plus y is equal to negative 3

A
open paren 1 comma 3 close paren
B
open paren negative 1 comma 3 close paren
C
open paren negative 1 comma negative 3 close paren
D
open paren 1 comma negative 3 close paren
14

The equations negative A minus 7 b is equal to 14 and negative 4 A minus 14 b is equal to 28 represent a system of linear equations. Which statement correctly explains how to eliminate the variable b when solving the system of equations?

A
Multiply the first equation by 2 and add it to the second equation. Then solve the resulting equation, negative 2 A is equal to 0 .
B
Multiply the first equation by negative 2 and add it to the second equation. Then solve the resulting equation, negative 2 A is equal to 0 .
C
Divide the second equation by 4 and add it to the first equation.
D
Divide the second equation by negative 4 and add it to the first equation.

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