Algebra 1 Cumulative Exam Flashcards

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Questions and Answers

Which function represents exponential growth?

f(x) = x^2

f(x) = 4(2/3)^x

f(x) = 3^x (correct)

f(x) = 0.5^x

Which function represents exponential decay?

f(x) = 5^(-x)

f(x) = 4(2/3)^x (correct)

f(x) = x^2

f(x) = 3^x

What does the function f(n + 1) = f(n) + 0.8 represent regarding snow depth?

The depth of snow was 2.5 inches when the storm began and increased by 0.8 inches each hour.

What equation can be used to find h, the number of hours Lindsay worked last week?

1/15(10h + 60) = 1/10(10h) Signup and view all the answers

What does F(x) < 0 over the intervals (-∞, -3) and (-1, 0.9) indicate about the graph?

The function is negative in those intervals. Signup and view all the answers

What is the local minimum of the function f(x) according to the table?

(2, -15) Signup and view all the answers

Which equation represents the graphed function?

y = 1/4x - 2 Signup and view all the answers

What is the linear inequality represented by the graph?

y < −2x + 3 Signup and view all the answers

Which is the graph of f(x) = 2(3)x?

The first one. Signup and view all the answers

What equation can be used to find y, the amount of money in the account after x years?

y = 7595(1.02)^x Signup and view all the answers

Which statements are true about the graph of the system of linear inequalities?

Both the above statements are true. Signup and view all the answers

How far does Karl ride his bicycle in 1 minute?

720 ft Signup and view all the answers

What equation can be used to find the amount of time Hiroshi spends on his math homework?

1/4(x + 30 + 60) = x Signup and view all the answers

Which equations also represent the line that passes through the points (-4, 10) and (-1, 5)?

y = -5/3(x + 4) + 10 Signup and view all the answers

What is the common difference of the sequence 9, -1, -11, -21,…?

-10 Signup and view all the answers

What is the solution to the inequality -4(8 - 3x) ≥ 6x - 8?

x ≥ 4 Signup and view all the answers

How many solutions exist for the equation 3(x + 10) + 6 = 3(x + 12)?

infinitely many Signup and view all the answers

What is the domain of the function represented by the graph?

0 Signup and view all the answers

Which equation represents line QR, passing through points Q(0, 1) and R(2, 7)?

y - 1 = 3x Signup and view all the answers

How many sides does a polygon have if the sum of the interior angles is 1,260°?

9 sides Signup and view all the answers

What does the step function g(x) equal?

{-3, 2, 5} Signup and view all the answers

Which statement is true regarding the calories consumed and strawberries eaten?

Each strawberry contains 4 calories. Signup and view all the answers

What is the value of b if the equation of line MN in slope-intercept form is y = mx + b?

-9 Signup and view all the answers

What is the equation of the line in point-slope form using point (-2, -6)?

y + 6 = 5/2(x + 2) Signup and view all the answers

What statement is true regarding the total cost and number of erasers bought?

Seven erasers cost $3.50. Signup and view all the answers

Study Notes

Exponential Functions

Exponential growth is represented by the function ( f(x) = 3^x ).
Exponential decay is characterized by the function ( f(x) = 4(2/3)^x ).

Sequences and Functions

The depth of snow increases by 0.8 inches each hour, starting from 2.5 inches ( f(n + 1) = f(n) + 0.8, f(0)=2.5 ).
A function from Lindsay's earnings indicates that her total income can be described by the equation ( \frac{1}{15}(10h + 60) = \frac{1}{10}(10h) ).

Graph Analysis

The graph of ( f(x) < 0 ) is true for intervals ( (-∞, -3) ) and ( (-1.1, 0.9) ).
A local minimum of a function ( f(x) ) is represented by the ordered pair ( (2, -15) ).

Linear Equations and Inequalities

The graphed linear function can be expressed as ( y = \frac{1}{4}x - 2 ).
The inequality represented by the graph is ( y < -2x + 3 ).

Financial Functions

The account balance growth is modeled by the equation ( y = 7595(1.02)^x ), reflecting an increase in deposit value.
The relationship between strawberries consumed and calories indicates each strawberry contains 4 calories.

Time and Distance

Karl's speed converts to 720 feet in one minute based on a speed of 120 feet in 10 seconds.
Hiroshi's math homework time can be determined by solving ( \frac{1}{4}(x + 30 + 60) = x ).

Line Representation

Line QR, going through points ( Q(0, 1) ) and ( R(2, 7) ), is represented by the equation ( y - 1 = 3x ).
The equation of a line can be written in point-slope form using the point ( (-2, -6) ): ( y + 6 = \frac{5}{2}(x + 2) ).

Geometric Relationships

The sum of the interior angles ( s ) in an ( n )-sided polygon is calculated using ( s = 180(n - 2) ); a polygon with 1260° has 9 sides.
The step function ( g(x) ) contains values {-3, 2, 5}.

Solutions to Equations

The inequality ( -4(8 - 3x) ≥ 6x - 8 ) yields a solution of ( x ≥ 4 ).
The equation ( 3(x + 10) + 6 = 3(x + 12) ) has infinitely many solutions.

Rate of Change

The common difference in the sequence ( 9, -1, -11, -21, ... ) is -10.
For line MN from points ( M(4, 3) ) and ( N(7, 12) ), the ( y )-intercept ( b ) is -9.

Cost Relationships

The total cost based on the number of erasers showcases that seven erasers cost $3.50.

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Description

This quiz consists of flashcards covering essential concepts of Algebra 1, focusing on exponential functions and sequences. Test your understanding of growth and decay functions, as well as practical applications in real-world scenarios.