Question

Which of the following tables of values is correct for the equation y equals 2 vertical bar 2 vertical bar minus 1?
A.
x y left parenthesis x comma y right parenthesis
negative 2 3 left parenthesis negative 2 comma 3 right parenthesis
negative 1 1 left parenthesis negative 1 comma 1 right parenthesis
0 negative 1 left parenthesis 0 comma negative 1 right parenthesis
1 1 (1,1)
2 3 (2,3)
B.
x y left parenthesis x comma y right parenthesis
negative 2 4 left parenthesis negative 2 comma 4 right parenthesis
negative 1 2 left parenthesis negative 1 comma 2 right parenthesis
0 0 (0,0)
1 2 (1,2)
2 4 (2,4)
C.
x y left parenthesis x comma y right parenthesis
negative 2 negative 5 left parenthesis negative 2 comma negative 5 right parenthesis
negative 1 negative 3
left parenthesis negative 1 comma negative 3 right parenthesis
0 negative 1 left parenthesis 0 comma negative 1 right parenthesis
1 1 (1,1)
2 3 (2,3)
D.
x y left parenthesis x comma y right parenthesis
negative 2 negative 4 left parenthesis negative 2 comma negative 4 right parenthesis
negative 1 negative 2
left parenthesis negative 1 comma negative 2 right parenthesis
0 0 (0,0)
1 2 (1,2)
2 4 (2,4)

Answer 1

Simplify. left parenthesis negative 24 x cubed plus 18 x plus 6 right parenthesis divided by left parenthesis 6 x plus 3 right parenthesis
A. negative 4 x squared plus 2 x minus 2
B. 4 x squared minus 2 x plus 2
C. 4 x squared plus 2 x minus 2
D. negative 4 x squared plus 2 x plus 2

Answer 2

Simplify. start fraction x over 4 x plus x squared end fraction
A. one-fourth
B. start fraction 1 over 4 plus x end fraction; where x not equals negative 4 comma 0
C. start fraction 1 over 4 plus x end fraction; where x not equals negative 4
D. start fraction 1 over 4 x end fraction; where x not equals 0

Answer 3

Simplify. negative 12 times x to the fourth power over the quantity x to the fourth power plus 8 times x to the fifth power
A. negative 12 over the quantity 1 plus 8 times x, where x does not equal negative one eighth
B. negative 12 over the quantity 1 plus 8 times x, where x does not equal negative one eighth, 0
C. negative 12 over 9 times x, where x does not equal 0
D. negative 12 over 9

Answer 4

Simplify. The quantity x minus 2 over the quantity x squared plus 4 times x minus 12
A. 1 over the quantity x plus 6, where x does not equal negative 6
B. 1 over the quantity x plus 6, where x does not equal negative 6, 2
C. 1 over the quantity x plus 2, where x does not equal negative 2
D. x plus 2

Answer 5

Simplify. The quotient 7 over 2 times a times the quotient 5 over a squared
A. 35 over 2 times a squared, where a does not equal 0
B. 35 over 2 times a squared
C. 12 over 2 times a cubed, where a does not equal 0
D. 35 over 2 times a cubed, where a does not equal 0

Answer 6

Multiply. The quotient of the quantity x minus 5 over the quantity 4 times x plus 8 times the quantity 12 times x squared plus 32 times x plus 16
A. The quantity 3 times x plus 2 over 4 times the quantity x minus 5
B. The quantity x minus 5 times the quantity 3 times x plus 2, all over 4
C. The quantity x minus 5 times the quantity 3 times x plus 2
D. The quantity x minus 5 times the quantity 12 times x plus 8

Answer 7

Divide. Fraction 1: The quantity x squared plus 6 times x plus 9 over the quantity x minus 1. Fraction 2: the quantity x squared minus 9 over the quantity x squared minus 2 times x plus 1. Find Fraction 1 over Fraction 2.
A. The quantity x plus 3 times the quantity x minus 1 divided by the quantity x minus 3
B. The quantity x minus 3 times the quantity x plus 1 divided by the quantity x plus 3
C. The quantity x plus 3 times the quantity x plus 1, all over the quantity x minus 3
D. The quantity x minus 3 times the quantity x minus 1, all over the quantity x plus 3

Answer 8

Simplify into one fraction.
start fraction 9 over x minus 1 end fraction plus start fraction 5 over x plus 4 end fraction
A. start fraction 14 over 2 x plus 3 end fraction
B. start fraction 14 x plus 31 over left parenthesis x minus 1 right parenthesis left parenthesis x plus 4 right parenthesis end fraction
C. start fraction 14 x plus 41 over left parenthesis x minus 1 right parenthesis left parenthesis x plus 4 right parenthesis end fraction
D. start fraction 14 over left parenthesis x minus 1 right parenthesis left parenthesis x plus 4 right parenthesis end fraction

Answer 9

What is the solution to the equation The quotient 1 over x minus the quotient 6 over x squared equals negative 12?
A. x equals three fourths or x equals negative two thirds
B. x equals three fourths or x equals two thirds
C. x equals negative three fourths or x equals two thirds
D. x equals negative three fourths or x equals negative two thirds

Answer 10

Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.

x 1 3 5 10
y 4 12 20 40
A. direct variation; y equals 4 times x
B. direct variation; y equals one-fourth x
C. inverse variation; x times y equals 4
D. inverse variation; x times y equals one fourth

Answer 11

Which of the following points has coordinates that are 5 horizontal units from point A?

A coordinate grid is shown with point A located at left-parenthesis negative 2 comma 2 right-parenthesis.

Answer 12

Find the distance between point A and point B.

A coordinate plane is shown with point A located at left-parenthesis negative 4 comma negative 3 right-parenthesis and point B located at left-parenthesis negative 4 comma 4 right-parenthesis.

Answer 13

Which expression could be used to find the distance between point A and point B?

A coordinate plane is shown with point A located at left-parenthesis negative 4 comma 1 right-parenthesis and point B located at left-parenthesis 1 comma 1 right-parenthesis.

Answer 14

Which expression could be used to find the distance between point A and point B?

A coordinate plane is shown with point A located at left-parenthesis negative 4 comma 1 right-parenthesis and point B located at left-parenthesis 1 comma 1 right-parenthesis.