Practice Exam Answers

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1
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Which function is the inverse of f of x is equal to negative 5 x minus 4 ?

A
f inverse of x is equal to 4 x plus 4
B
f inverse of x is equal to negative 1 fifth x plus 4 fifths
C
f inverse of x is equal to negative 4 x plus 5
D
f inverse of x is equal to negative 1 fifth x minus 4 fifths
4

A boat has a speed of 15 mph in calm water. It takes the boat 3 hours to travel upstream but only 2 hours to travel the same distance downstream. Which equation can be used to find c , the speed of the current in miles per hour?

A
15 minus 3 c is equal to 15 plus 2 c
B
2 times open paren 15 minus c close paren is equal to 3 times open paren 15 plus c close paren
C
15 minus c is equal to 15 plus c
D
3 times open paren 15 minus c close paren is equal to 2 times open paren 15 plus c close paren
7

Which function is a quadratic function?

A
k times x is equal to negative x
B
f of x is equal to 2 x squared
C
b times x is equal to negative 9 x to the 4th power
D
g of x is equal to 5 x cubed
9

Timmy writes the equation f of x is equal to 1 fourth x minus 1 He then doubles both of the terms on the right side to create the equation g of x is equal to 1 half x minus 2 . How does the graph of g of x compare to the graph of f of x ?

A
The line of g of x is less steep and has a lower y -intercept.
B
The line of g of x is steeper and has a higher y -intercept.
C
The line of g of x is less steep and has a higher y -intercept.
D
The line of g of x is steeper and has a lower y -intercept.
10

Which equation represents a linear function?

A
y times open paren x minus 1 close paren is equal to 9
B
y minus 5 is equal to x minus 20
C
y minus 5 is equal to x times open paren negative x plus 2 close paren
D
y times open paren y minus 1 close paren is equal to x plus 25
11

Susan plans to use 120 feet of fencing to enclose a rectangular area for a garden. Which equation best models the area, y , of the rectangular garden that she creates if one side is x feet long? cap A is equal to l w

A
y is equal to open paren 120 minus x close paren times open paren 120 plus x close paren
B
y is equal to open paren 60 minus x close paren times x
C
y is equal to open paren 60 minus x close paren times open paren 60 plus x close paren
D
y is equal to open paren 120 minus x close paren times x
12

The area of a trapezoid can be found using the formula cap A times x is equal to 1 half cap b x h x , where cap b times x is the sum of the bases and h of x is the height. Which graph could include the functions?

A
Image with description On a first-quadrant coordinate plane, the x and y axes range from 0 to 40 in increments of 10. The graph has 3 straight lines (A of x), (B of x), and (h of x) with positive slopes originating from the origin. The straight line (h of x) is close to the x-axis and passes close to (40 comma 11). The straight line (B of x) is in the middle and passes close to (20 comma 15). The straight line (A of x) is close to the y-axis and passes close to (10 comma 10).
B
Image with description On a first-quadrant coordinate plane, the x and y axes range from 0 to 20 in increments of 5. The graph has a curve (A of x), and 2 straight lines (B of x), and (h of x), with positive slopes originating from the origin. The straight line (h of x) is close to the x-axis and passes through (20 comma 5). The straight line (B of x) is in the middle and passes through (20 comma 15). The curve (A of x) passes through (5 comma 15) and then rises.
C
Image with description On a first-quadrant coordinate plane, the x and y axes range from 0 to 20 in increments of 5. The graph has a curve (A of x), and 2 straight lines (B of x), and (h of x,) with positive slopes originating from the origin. The straight line (h of x) is close to the x-axis and passes through (20 comma 5). The straight line (B of x) is in the middle and passes close to (20 comma 15). The curve (A of x) passes close to (14 comma 20).
D
Image with description On a first-quadrant coordinate plane, the x and y axes range from 0 to 40 in increments of 10. The graph has 3 straight lines (A of x), (B of x), and (h of x) with positive slopes originating from the origin. The straight line (h of x) is close to the x-axis and passes through (20 comma 5) and (40 comma 10). The straight line (B of x) is in the middle and passes through (40 comma 30). The straight line (A of x) is close to the y-axis and passes close to (5 comma 40).
14

What is the inverse of the function f of x is equal to x plus 3 ?

A
h of x is equal to 1 third x plus 3
B
h of x is equal to x minus 3
C
h of x is equal to x plus 3
D
h of x is equal to 1 third x minus 3
15

What values are excluded from the domain and range of the function f of x is equal to the fraction with numerator x plus 3 and denominator 2 x plus 5 ?

A
domain: x is not equal to negative 3 range: y is not equal to 2
B
domain: x is not equal to negative 5 halves range: y is not equal to 2
C
domain: x is not equal to 1 half range: y is not equal to negative 5 halves
D
domain: x is not equal to negative 5 halves range: y is not equal to 1 half
16

Which ordered pair can be removed so that the resulting graph represents a function?

A
negative 4 comma negative 4
B
1 comma 3
C
negative 2 comma 2
D
5 comma negative 4

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