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STAAR HS Algebra I

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Last updated about 1 month ago
50 questions
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The first five terms of a sequence are a_{1}=47, a_{2}=33, a_{3}=19, a_4={5}, and a_{5}=-9.

Based on this information, create an equation that can be used to find the nth term of the sequence, a_{n}.

Move the correct answer to each box. Each answer may be used more than once. Not all answers will be used.

a_{n}=________ n+_______
Other Answer Choices:
-14
14
61
47
-61
-47
Question 9
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Question 10
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Question 11
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Question 12
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What is the solution set that best describes the inequality y\ge\frac{1}{2}x-2?

Graph the solution set of the linear inequality in the coordinate plane.

Question 13
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Graph the line represented by the equation 2x+3y=6.

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Question 30
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The altitude of an airplane is changing at a constant rate. The table shows the linear relationship between y, the altitude of the airplane in feet, and x, the time in minutes.


Complete the statement that describes the rate of change of the altitude of the airplane with respect to time.

Choose the correct answer from each drop-down menu to complete the sentence.

The altitude of the airplane __________ at a rate of __________ feet per minute.
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The graph of f(x)=x is transformed to create the graph of g(x)=\frac{1}{2}f(x)+3. Complete the statement to compare the graphs of f and g.

Choose the correct answer from each drop-down menu to complete the sentence.

The graph of g is __________ the graph of f and has a y-intercept that is __________ that of f.
Question 39
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Question 43
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A company currently has 500 employees. The number of employees is expected to grow at a rate of 2% each year.

Write an exponential function to model the number of employees in the company, y, after x years.

Enter your answer in the box provided.
y= _______
Question 44
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Other Answer Choices:
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Question 50
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Which expression is equivalent to 7\sqrt{45}?
12\sqrt3
35\sqrt3
10\sqrt5
21\sqrt5
The graph of quadratic function h is shown on the grid.


Which function is best represented by the graph of h?
h(x)=-x^{2}-8x-15
h(x)=-x^{2}+8x-15
h(x)=x^{2}+8x+15
h(x)=x^{2}-8x+15
The value of y varies directly with x. When the value of x is 4, the value of y is -12.

What is the constant of variation when y is a function of x, and what is the value of y when x = -6?

Move the correct answer to each box. Each answer may be used more than once. Not all answers will be used.

The constant of variation is _______ .

The value of y when x = -6 is _______ .
-\frac{1}{3}
\frac{1}{3}
Which graph best represents a quadratic function that has no real zeros?
An investor deposited money into an investment account that earns interest compounded annually. The function shown models the amount of money in the account in dollars after t years.

A(t)=1,550(1.02)^t

Which statement best interprets one value in the function?
The initial deposit in the investment account was $1,581.
The amount of money in the investment account increases 102% each year.
The initial deposit in the investment account was $1,550.
The amount of money in the investment account decreases 2% each year.
Which expression is equivalent to \frac{1}{3}(6x^{2}y)^{2}(2x^{3}y^{4}) for all value of x and y where the expression is defined?
4x^{7}y^{6}
24x^{7}y^{6}
4x^{12}y^{8}
24x^{12}y^{8}
The graph of a line is represented by the equation by the equation 5x-8y=40. Which value represents the rate of change of y with respect to x for the equation?
-\frac{8}{5}
-\frac{5}{8}
\frac{5}{8}
\frac{8}{5}
What is the range of the function f(x)=-x^{2}+60x?
All real numbers that are greater than or equal to 0 and less than or equal to 30
All real numbers that are greater than or equal to 0 and less than or equal to 60
All real numbers that are greater than or equal to 900
All real numbers that are less than or equal to 900
A counselor asked college student who had jobs how many hours they worked each week. The counselor then compared the number of hours each student worked and the student's overall grade average. The table shows the data.


Based on the correlation coefficient for the data, what type of linear association exists between hours worked and overall grade average?
Strong negative
Weak negative
Weak positive
Strong positive
Which statement about the graph of y=16(0.5)^x is NOT true?
The y-intercept is (0, 16).
The graph is decreasing for all values of x.
The x-intercept is (0.5, 0).
The graph has a horizontal asymptote at y = 0.
Two customers purchased coffee and doughnuts at a coffee shop. Each cup of coffee costs the same amount, and each doughnut costs the same amount.
  • The first customer paid $4.90 for 1 cup of coffee and 2 doughnuts.
  • The second customer paid $8.60 for 2 cups of coffee and 3 doughnuts.
What is the cost of 1 cup of coffee?
$2.50
$1.20
$4.90
$3.70
The graph of a linear function is shown.


Which function best represents the relationship shown in the graph?
y=-\frac{3}{5}x-5
y=-\frac{3}{5}x-3
y=-\frac{5}{3}x-5
y=-\frac{5}{3}x-3
Two hikers begin hiking at the saem time from different locations on a trail. The system of equations graphed on the grid represents this situation.


Which value best represents the number of hours the two hikers have been hiking when they are the same distance from the start of the trail?
2.8 h
1.3 h
2.5 h
4.5 h
Which function is equivalent to f(x)=6x^{2}-23x+21?
f(x)=(3x-7)(2x-3)
f(x)=3(x-1)(2x-7)
f(x)=(6x-7)(x-3)
f(x)=3(x-7)(2x-1)
A part of an exponential function is graphed on the grid.


Which statements are true about the domain and range of the part of the function shown?

Select TWO correct answers.
The domain is the set of all real numbers greater than or equal to 1 and less than or equal to 8.
The domain is the set of all real numbers greater than or equal to 2 and less than or equal to 5.
The domain is the set of all real numbers.
The range is the set of all real numbers greater than or equal to 1 and less than or equal to 8.
The range is the set of all real numbers greater than or equal to 2 and less than or equal to 5.
The range is the set of all real numbers.
Function g is defined by g(x)=3x^{2}-2x-5. What are the solutions to g(x)=0?
x=-1 and x=\frac{3}{5}
x=-1 and x=\frac{5}{3}
x=1 and x=-\frac{3}{5}
x=1 and x=-\frac{5}{3}
The table represents some points on the graph of an exponential function.


Which function represents the relation shown in the table?
g(x)=32(\frac{2}{3})^x
g(x)=48(\frac{2}{3})^x
g(x)=32(\frac{3}{2})^x
g(x)=48(\frac{3}{2})^x
Which situation best represents association but NOT causation?
When the number of spectators at a football game increases, the number of wins for the home team increases.
When more gallons of water are put into an aquarium, the weight of the aquarium increases.
When the amount of time an athlete runs increases, the distance she runs increases.
When the charge of a cell phone battery increases, the number of minutes the phone can used increases.
The quadratic function f(x)=x^2 is transformed to create g as shown in the graph.


What is the equation for g?
g(x)=f(x+3)-2
g(x)=2f(x+3)-2
g(x)=f(x-3)+2
g(x)=2f(x-3)+2
A swimming pool can be rented for $110 per hour. The pool can be rented for either 1 hour or 2 hours. The cost in dollars to rent the pool is a function of the number of hours the pool is rented.

What are the domain and range of the function for this situation?
Domain: {110, 220}
Range: {1,2}
Domain: {1, 2}
Range: {110,220}
Domain: all real numbers
Range: all real numbers
Domain: all integers greater than or equal to zero
Range: all integers greater than or equal to zero
What value of m makes the \frac{2}{3}(m-9)=\frac{1}{3}(m-27)?
-9
-3
-1
-6
A graph of a quadratic function is shown on the grid.


Complete the statement about the quadratic function.

Move the correct answer to each box. Not all answers will be used.

The function has a ____________ value of _______ .
Hot dogs and bags of popcorn were sold at a concession stand. One family paid $8.00 for 2 hot dogs and 3 bags of popcorn. Another family paid $16.50 for 5 hot dogs and 4 bags of popcorn.

Which system of equations can be used to determine the price in dollars of a hot dog, x, and the price in dollars of a bag of popcorn, y?
5x+4y=8
2x+3y=16.5
2x+3y=8
5x+4y=16.5
2x+5y=8
5x+4y=16.5
3x+2y=8
4x+5y=16.5
An exponential function has these characteristics:
  • The y-intercept is 2.
  • The function increases at a rate of 50%.
Which graph best represents this function?
The graph shows point W and line p.


Which equation best represents the point-slope form of the line that passes through W and is parallel to line p?
y-5=-\frac{4}{5}(x-1)
y-5=\frac{4}{5}(x-1)
y-5=-\frac{5}{4}(x-1)
y-5=\frac{5}{4}(x-1)
If f(x)=x^2 and g (x)=f (x+7.2), what is the vertex of the graph of g?
(7.2, 0)
(-7.2, 0)
(0, 7.2)
(0, -7.2)
What are the solutions to the equation 5(x+3)^{2}=75?
-\frac{3}{5}\pm\sqrt{15}
-\frac{3}{5}\pm\sqrt{3}
-3\pm\sqrt{3}
-3\pm\sqrt{15}
A part of quadratic function g is graphed on the grid.


What is the domain of the part of the function shown?
All real numbers greater than or equal to -4 and less than or equal to 5
All real numbers greater than or equal to -1 and less than or equal to 3
All real numbers greater than or equal to -6 and less than or equal to 6
All real numbers greater than or equal to -2 and less than or equal to 3
Which expression is equivalent to \frac{16k^{9}m^{7}}{4k^{3}m^{14}} where the expression is defined?
\frac{12k^{6}}{m^{7}}
\frac{4k^{6}}{m^{7}}
\frac{12k^{3}}{m^{2}}
\frac{4k^{3}}{m^{2}}
For quadratic function h, h(-\frac{3}{2})=0 and h(5) = 0. What is a possible equation for h in factored form?

Move the correct answer to each box. Not all answers will be used.
(x-5)
(x + 5)
(2x-3)
(3x-2)
(2x+3)
(3x+2)
A triangle has sides whose lengths in units are represented by polynomials as shown, where x is a positive integer.


Which expression represents the perimeter of teh triangle in units?
\frac{15}{2}x
\frac{47}{6}x
\frac{13}{2}x+1
\frac{13}{2}x+\frac{4}{3}
The total cost, y, for x tickets to a concert includes a flat fee for processing and a cost per ticket. One customer purchased 4 tickets for a total cost of $160. Another customer purchased 8 tickets for a total cost of $300.

Which linear equation represents the total cost in dollars, y, for x tickets?
y=40x
y=37.5x
y=35x+20
y=20x+35
Which expression is a factor of x^{2}+7x-30?
x+15
x-10
x+5
x-3
Line n is shown on the coordinate grid. The table of ordered pairs represents some points on line p.


Which system of equations represents line n and line p?
3x-y=2
2x+y=4
3x+y=-2
2x+y=4
3x-y=2
x+2y=4
3x+y=-2
x+2y=4
Which function is equivalent to f(x)=4(x-3)^{2}+5?
f(x)=16x^{2}-96x+149
f(x)=4x^{2}+41
f(x)=4x^{2}-24x+41
f(x)=16x^{2}-96x+29
Which graph best represents the solution set of x+2y\ge2?
A system of linear equations is shown.
6x-2y=10
y=3x-5
Which statement about the system is true?
The system has one solution, (-1, -8).
The system has one solution, (3, 4).
The system has no solutions.
The system has infinitely many solutions.
Which relation best represents y as a function of x?
The function f(x)=-4x+8 represents the first of two equations in a system of linear equations. The second equation in the system has a different slope than the first equation.

Which statement is true about the solution to the system of equations?
The system has no solutions.
The system has exactly one solution.
The system has exactly two solutions.
The system has infinitely many solutions.
What is the solution to the equation 7w-2(w-9)=4-8(w+2)?
w=-\frac{26}{9}
w=-\frac{10}{9}
w=\frac{15}{13}
w=-\frac{30}{13}
Choose two factors to create an expression equivalent to 4x^{2}-81.

Move the correct answer to each box. Each answer may be used more than once. Not all answers will be used.
2x-9
4x-9
2x+9
9x+2
4x+9
9x-2
If f(x)=3x^{2}-7, what is the value of f(4)?
29
17
41
27
An athlete ran at a constant speed for 12 seconds. The part of the linear function shown represents the distance the athlete ran in yards, y, as a function of the time in seconds, x.


What is the domain of the function for this situation?
0\le x\le14
0\le x\le12
0\le y\le110
0\le y\le100
The graph of a linear function is shown on the grid.


What value best represents the y-intercept of the line?
-2
-\frac{3}{2}
\frac{2}{3}
3