Answers 25-26 Summer - Humble ISD CR - Algebra 1 A - 1st Nine WeeksFunction Notation

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The graph below shows the total cost for lunch, c, when Will and his friends buy a large salad to share and several slices of pizza, p.

$1.50

$2.00

$2.50

$3.00

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Which best describes the relationship between the successive terms in the sequence shown?9, –1, –11, –21, …

The common difference is –10.

The common difference is 10.

The common ratio is –9.

The common ratio is 9.

Which graph represents a function?

Option

What is the value of x in the equation 3x – y = 18, when y = 27?

On a coordinate plane, solid circles appear at the following points: (negative 5, negative 3), (negative 4, negative 4), (negative 2, 2), (1, 3), (1, negative 2), (2, 1), (5, negative 4).

(–2, 2)

(1, 3)

(5, –4)

(–4, –4)

On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function to convert this temperature from degrees Fahrenheit to degrees Celsius. What does C(76.1) represent?

the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius

the temperature of 76.1 degrees Celsius converted to degrees Fahrenheit

the amount of time it takes a temperature of 76.1 degrees Fahrenheit to be converted to 32 degrees Celsius

the amount of time it takes a temperature of 76.1 degrees Celsius to be converted to 32 degrees Fahrenheit

Consider the function represented by the equation x – y = 3. What is the equation written in function notation, with x as the independent variable?

f(x) = y + 3

f(x) = –y – 3

f(x) = –x + 3

f(x) = x – 3

On a coordinate plane, solid circles appear at the following points: (negative 3, negative 3), (negative 3, 2), (1, 1), (2, negative 2), (3, 4), (4, negative 2).

(4, –2)

(–3, 2)

(3, 4)

(1, 1)

Consider the function represented by the graph.

Option

The table shows ordered pairs of the function y = 16 + 0.5x .

(0, 18)

(5, 19.5)

(8, 20)

(10, 21.5)

Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lb. If x represents the number of 3 lb weights and y represents the number of 10 lb weights, which equation can be used to find the number of each type of weight Bob has?

3x – 10y = 50

3x = 50 – 10y

50 + 10y = 3y

50 + 3y = 10y

Karl has stamps in his desk drawer. The possible combinations of stamps are shown below.

The total number of stamps is 25.

The total value of the stamps is $18.75.

The total number of stamps is 35.

The total value of the stamps is $19.15.

Tomas is making trail mix using granola and walnuts. He can spend a total of $12 on the ingredients. He buys 3 pounds of granola that costs $2.00 per pound. The walnuts cost $6 per pound. He uses the equation to represent the total cost, where x represents the number of pounds of granola and y represents the number of pounds of walnuts. He solves the equation for y, the number of pounds of walnuts he can buy. Which is the first error that Tomas made?

Tomas substituted the 3 for x when he should have substituted 6 for x.

Tomas added 6 to both sides of the equation instead of subtracting 6.

Tomas should have written the equation as .

Tomas substituted 3 for x when he should have substituted 3 for y.

A sequence is defined by the recursive function f(n + 1) = f(n) – 2.

A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula?

1, –5, 25, –125, ...

2, 10, 50, 250, ...

3, –2, –7, –12, ...

4, 9, 14, 19, ...

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