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As Tia solved the system of equations, she transformed matrices at different steps during the process. negative A minus b plus 2 c is equal to 7 2 A plus b plus c is equal to 2 negative 3 A plus 2 b plus 3 c is equal to 7 She noted the following matrices. I II III IV the 3 by 4 matrix, row 1, column 1, 1 column 2, 0 column 3, 0 column 4, 0 row 2, column 1, 0 column 2, 1 column 3, 0 column 4, negative 1 row 3, column 1, 0 column 2, 0 column 3, 1 column 4, 3 the 3 by 4 matrix, row 1, column 1, negative 1 column 2, negative 1 column 3, 2 column 4, 7 row 2, column 1, 2 column 2, 1 column 3, 1 column 4, 2 row 3, column 1, negative 3 column 2, 2 column 3, 3 column 4, 7 the 3 by 4 matrix, row 1, column 1, 1 column 2, 1 column 3, negative 2 column 4, negative 7 row 2, column 1, 0 column 2, 1 column 3, negative 5 column 4, negative 16 row 3, column 1, 0 column 2, 0 column 3, 22 column 4, 66 the 3 by 4 matrix, row 1, column 1, 1 column 2, 1 column 3, 0 column 4, negative 1 row 2, column 1, 0 column 2, 1 column 3, 0 column 4, negative 1 row 3, column 1, 0 column 2, 0 column 3, 1 column 4, 3 In which order should the matrices be arranged when solving the system from start to finish?

A
II, III, IV, I
B
II, IV, I, III
C
I, IV, III, II
D
IV, II, III, I
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If cap t is equal to the 2 by 2 matrix, row 1, column 1, 23 column 2, negative 38 row 2, column 1, 17 column 2, negative 6 , then what is negative 10 times cap t ?

A
the 2 by 2 matrix, row 1, column 1, negative 230 column 2, 380 row 2, column 1, negative 170 column 2, 60
B
the 2 by 2 matrix, row 1, column 1, 33 column 2, negative 48 row 2, column 1, 27 column 2, negative 16
C
the 2 by 2 matrix row 1, 230 380 row 2, 170 60
D
the 2 by 2 matrix, row 1, column 1, 13 column 2, negative 48 row 2, column 1, 7 column 2, negative 16
23

The graph of y is equal to cube root of x minus 3 is a horizontal translation of y is equal to cube root of x Which is the graph of y is equal to cube root of x minus 3 ?

A
Image with description A coordinate plane with a curve. he x-axis is labeled from negative 10 to 10, and the y-axis is labeled from negative 10 to 10 in increments of 2. The curve enters from the lower left, passes through approximately the point negative 10 comma negative 2, crosses the x-axis at approximately the point negative 3 comma 0, and continues toward the upper right, passing through approximately the point 4 comma 2.
B
Image with description A coordinate plane with a curve. The x-axis is labeled from negative 10 to 10, and the y-axis is labeled from negative 10 to 10 in increments of 2. The curve enters from the lower left, passes through approximately the point negative 5 comma negative 2, crosses the x-axis at the point 3 comma 0, and continues toward the upper right, passing through approximately the point 11 comma 2.
C
Image with description A coordinate plane with an S-shaped curve. The x-axis is labeled from negative 10 to 10 in increments of 2 and the y-axis is labeled from negative 5 to 5 in increments of 1. The curve extends from the lower-left area of the plane, where an arrow near negative 8 comma negative 2 points to the left. The curve rises through the center of the plane, passing through approximately 2 comma 0, then levels off with a decreasing positive slope as it continues to the right, ending with an arrow near 8 comma 2 pointing to the right.
D
Image with description A coordinate plane with a curve. The x-axis is labeled from negative 10 to 10 in increments of 2 and the y-axis is labeled from negative 5 to 5 in increments of 1. The curve enters from the lower left, passes through the point negative 8 comma negative 5, passes through the point 0 comma negative 3, and continues toward the upper right, passing through the point 8 comma negative 1.
24

A website is having a sale of 15 percent off the price, x , of regular-priced items. For its loyalty club members, the site is offering an additional 15 percent off the sale price. An 8 percent shipping and handling fee is then added to the discounted price to determine the final cost. The given functions represent each part of a loyalty member’s purchase. Sales price: cap s times x is equal to 0 point 8 5 x Loyalty member discount: cap l times cap s is equal to 0 point 8 5 cap s Final cost: cap c times cap l is equal to 1 point 0 8 liters Which is the composite function for the price a loyalty member would pay based on the original price, x ?

A
cap c times open paren cap l times x close paren is equal to 2 point 7 8 0 0 x
B
cap c times open paren cap l times x close paren is equal to 0 point 9 1 8 0 x
C
cap c times open paren cap l times x close paren is equal to 0 point 7 2 2 5 x
D
cap c times open paren cap l times x close paren is equal to 0 point 7 8 0 3 x
25

What are the domain and range of f of x is equal to 2 times open paren 3 to the x th power close paren ?

A
domain: open paren negative infinity comma infinity close paren ; range: open paren 2 comma infinity close paren
B
domain: open paren 0 comma infinity close paren ; range: open paren negative infinity comma infinity close paren
C
domain: open paren 2 comma infinity close paren ; range: open paren negative infinity comma infinity close paren
D
domain: open paren negative infinity comma infinity close paren ; range: open paren 0 comma infinity close paren
26

A cleaning solution is made from vinegar, lemon juice, and water. The table shows the part of the total solution that is in each element. Solution Components Solution A Solution B Solution C Vinegar 0 point 1 0 point 2 0 point 4 Lemon Juice 0 point 1 5 0 point 2 0 point 1 Water 0 point 7 5 0 point 6 0 point 5 Mr. Allen needs 100 mL of a solution that is 30 percent vinegar, 15 percent lemon juice, and 55 percent water. How much of solution A will Mr. Allen need to make his cleaning solution?

A
30 mL
B
50 mL
C
10 mL
D
0 mL
27

The cost for the raw materials of marble countertops, c , can be represented by the function c times A is equal to 4 point 2 5 A , where A is the area of the countertops. The retail markup, m , can be represented by the function m times c is equal to 1 point 1 5 c Which function can be used to find the marked-up price of a marble countertop depending on the area?

A
m times open paren c times A close paren is equal to 5 point 4 A
B
m times open paren c times A close paren is equal to 3 point 1 A
C
m times open paren c times A close paren is equal to 3 point 6 9 5 7 A
D
m times open paren c times A close paren is equal to 4 point 8 8 7 5 A
28

The amount of a sample remaining after t days is given by the equation cap p times t is equal to cap A times 1 half raised to the t over h power , where cap A is the initial amount of the sample and h is the half-life, in days, of the substance. A sample contains 18 percent of its original amount of Radon- 222 The half-life of Radon- 222 is about 3 point 8 days. Which is the best estimate for the age of the sample?

A
9 point 4 days
B
1 point 5 days
C
21 point 1 days
D
2 point 5 days
29

Which graph represents the function g of x is equal to start absolute value x plus 4 end absolute value plus 2 ?

A
Image with description A coordinate plane has both the axis labeled from negative 6 to 6. An absolute value graph has a vertex at negative 2 comma 4.
B
Image with description A coordinate plane has both the axis labeled from negative 6 to 6. An absolute value graph has an upward facing V shaped curve with vertex at 4 comma 2.
C
Image with description A coordinate plane has both the axis labeled from negative 6 to 6. An absolute value graph has an upward facing V shaped curve with a vertex at 2 comma 4.
D
Image with description A coordinate plane has both the axis labeled from negative 6 to 6. An absolute value graph has a vertex at negative 4 comma 2.
30

Which equation is the inverse of y is equal to x squared plus 16 ?

A
y is equal to x squared minus 4
B
y is equal to plus or minus square root of x minus 16
C
y is equal to plus or minus square root of x minus 16 end root
D
y is equal to x squared minus 16
31

The function y is equal to cube root of negative x minus 3 is graphed only over the domain of start set x such that negative 8 is less than or equal to x comma x is less than or equal to 8 end set What is the range of the graph?

A
start set y such that 1 is less than or equal to y comma y is less than or equal to 5 end set
B
start set y such that negative 5 is less than or equal to y comma y is less than or equal to 5 end set
C
start set y such that negative 5 is less than or equal to y comma y is less than or equal to negative 1 end set
D
start set y such that 1 is less than or equal to y comma y is less than or equal to negative 1 end set
32

Which of the following is the inverse of y is equal to 12 to the x th power ?

A
y is equal to the log base 1 over 12 of x
B
y is equal to log sub 12 1 over x
C
y is equal to the log base 12 of x
D
y is equal to the log base x of 12
33

Which of the pairs of functions and their inverses will always have a domain and range of all real numbers?

A
a cubic function and a cube root function
B
a quadratic function and a square root function
C
a logarithmic function and an exponential function
D
a pair of linear functions with defined slopes
34

What is the completely factored form of 8 x squared minus 50 ?

A
2 open paren 2 x minus 5 close paren open paren 2 x minus 5 close paren
B
2 open paren 2 x plus 5 close paren open paren 2 x plus 5 close paren
C
2 open paren x plus 5 close paren open paren x minus 5 close paren
D
2 open paren 2 x plus 5 close paren open paren 2 x minus 5 close paren
35

What is the product? the 1 by 3 row matrix column 1 negative 1 column 2 2 column 3 4 times the 3 by 3 matrix row 1, 3 6 1 row 2, 2 4 0 row 3, 0 6 2

A
the 1 by 3 row matrix 1 26 7
B
the 3 by 1 column matrix 7 38 9
C
the 3 by 1 column matrix 1 26 7
D
the 1 by 3 row matrix 7 38 9
36

A cup of coffee contains 130 mg of caffeine. If caffeine is eliminated from the body at a rate of 11 percent per hour, how much caffeine will remain in the body after 3 hours? Write the exponential function and solve.

A
y is equal to 130 times 0 point 8 9 cubed ; 184 mg
B
y is equal to 130 times 0 point 8 9 cubed ; about 92 mg
C
y is equal to 130 times 3 to the 89th power ; about 346 mg
D
y is equal to 130 times 0 point 1 1 cubed ; less than 1 mg
37

What are the values of x and y in the given matrix subtraction? the 3 by 2 matrix, row 1, column 1, negative 20 column 2, 16 row 2, column 1, 4 column 2, 0 row 3, column 1, 9 column 2, negative 6 minus the 3 by 2 matrix, row 1, column 1, negative 5 column 2, 1 row 2, column 1, negative 6 column 2, 7 row 3, column 1, 0 column 2, 11 is equal to the 3 by 2 matrix, row 1, column 1, x column 2, y row 2, column 1, 10 column 2, negative 7 row 3, column 1, 9 column 2, negative 17

A
x is equal to negative 15 y is equal to 17
B
x is equal to negative 25 y is equal to 15
C
x is equal to negative 25 y is equal to 17
D
x is equal to negative 15 y is equal to 15
38

What are the domain and range of f of x is equal to start absolute value x plus 6 end absolute value ?

A
domain: open paren negative infinity comma infinity close paren ; range: f of x is greater than or equal to 0
B
domain: x is less than or equal to negative 6 ; range: open paren negative infinity comma infinity close paren
C
domain: open paren negative infinity comma infinity close paren ; range: f of x is less than or equal to 0
D
domain: x is greater than or equal to negative 6 ; range: open paren negative infinity comma infinity close paren
39

Choose the function represented by the data.

A
f of x is equal to the fraction with numerator x cubed and denominator 4 plus 2 x squared minus 24
B
f of x is equal to 3 fourths x squared minus 3 x plus 24
C
f of x is equal to x cubed minus x squared minus 24
D
f of x is equal to negative 2 and 1 fourth x squared plus 24
40

Which number is missing in the table of values?

A
648
B
216
C
324
D
108

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