Sign up for FREE

2021 STAAR Algebra 1

Last updated about 4 years ago

54 questions

1

A1.C.11.a

1

A1.C.2.c

1

A1.C.3.b

1

A1.C.7.b

1

A1.C.3.d

1

A1.C.2.b

1

A1.C.11.b

1

A1.C.3.c

1

A1.C.5.a

1

A1.C.9.c

1

A1.C.6.a

1

A1.C.12.b

1

A1.C.2.i

1

A1.C.6.c

1

A1.C.3.a

1

A1.C.10.e

1

A1.C.2.e

1

A1.C.3.e

1

A1.C.9.e

1

A1.C.2.a

1

A1.C.8.a

1

A1.C.2.i

1

A1.C.3.b

1

A1.C.11.b

1

A1.C.9.d

1

A1.C.10.b

1

A1.C.2.h

1

A1.C.4.b

1

A1.C.10.e

1

A1.C.7.a

1

A1.C.11.b

1

A1.C.3.b

1

A1.C.8.a

1

A1.C.9.c

1

A1.C.2.g

1

A1.C.10.f

1

A1.C.2.d

1

A1.C.6.a

1

A1.C.2.c

1

A1.C.10.e

1

A1.C.8.b

1

A1.C.10.d

1

A1.C.9.a

1

A1.C.5.c

1

A1.C.3.c

1

A1.C.7.c

1

A1.C.5.a

Content accessed from https://tea.texas.gov/student-assessment/testing/staar/staar-released-test-questions
Copyright information provided below.
All content on this site is copyrighted by the Texas Education Agency and cannot be used without the express written permission of TEA, except under the following conditions:
Texas public school districts, charter schools, and education service centers can copy materials for district and school educational use.
Residents of the state of Texas can copy materials for personal use.
Do not alter or make partial copies of web content. Do not charge for the reproduced materials or any document containing them except to cover the cost of reproduction and distribution.
If you are in Texas but are not an employee of a Texas public school district or charter school, you must get written approval from TEA to copy materials and enter into a license agreement that may involve paying a licensing fee or a royalty fee.
For more information, email Copyrights@tea.texas.gov.

Question 1

1.

Question 2

2.

Question 3

3.

Question 4

4.

Question 5

5.

Question 6

6.

Two characteristics of quadratic function p are given. 
• The axis of symmetry of the graph of p is x = −3. 
• Function p has exactly one zero. 
Based on this information, which graph could represent p?

1

A1.C.7.a

Question 8

8.

Question 9

9.

Question 10

10.

Question 11

11.

Question 12

12.

Which graph best represents the solution set to this system of inequalities?

x + y < 1
x − y ≤ 2

1

A1.C.3.h

Question 14

14.

Given p x( ) = −4(x − 15)2 + 2, what is the value of p(7)?
Record your answer and fill in the bubbles on your answer document.

Question 15

15.

Question 16

16.

Question 17

17.

Question 18

18.

Question 19

19.

Question 20

20.

The graph of linear function h is shown on the grid.

Given f(x) = x and h(x) = af(x), what is the value of a? Record your answer and fill in the bubbles on your answer document.

Question 21

21.

Question 22

22.

Question 23

23.

Question 24

24.

Question 25

25.

Question 26

26.

Question 27

27.

What is the value of the y-intercept of the graph of g (x) = 73 (4/5)x?
Record your answer and fill in the bubbles on your answer document.

The graph of f (x) = x2 is reflected over the x-axis and is stretched horizontally to create the graph of function g. Which graph could represent g?

1

A1.C.7.c

Question 29

29.

Question 30

30.

Question 31

31.

Question 32

32.

Which graph best represents a function with a domain of all real numbers less than or equal to 6?

1

A1.C.2.a

Question 34

34.

Quadratic function h can be used to model the height in feet of a rocket from the ground t seconds after it was launched. The graph of the function is shown.

What is the maximum value of the graph of the function?
Record your answer and fill in the bubbles on your answer document.

Question 35

35.

Question 36

36.

Question 37

37.

Question 38

38.

Question 39

39.

Question 40

40.

Linear function t has an x-intercept of -1and a y-intercept of 5. Which graph best represents t?

1

A1.C.3.c

Question 42

42.

The value of y is directly proportional to the value of x. When x = 3.5, the value of y is 14.
What is the value of y when x = 28?
Record your answer and fill in the bubbles on your answer document.

Question 43

43.

Question 44

44.

Question 45

45.

Which graph best represents the solution set of y ≤ 3/4x − 4?

1

A1.C.3.d

Question 47

47.

Question 48

48.

Question 49

49.

Question 50

50.

Question 51

51.

Question 52

52.

Which graph best represents y = 5(1/3)x?

1

A1.C.9.d

Question 54

54.

 Which expression is equivalent to √184?

92

2√46

4√23

4√46

The graph of a linear function is shown on the grid.

Which function is best represented by this graph?

g (x) = 6x + 4

g (x) = 4x − 2/3

g (x) = −3/2x + 6

g x( ) = − 2/3x + 4

The values in the table represent a linear relationship between x and y.

What is the rate of change of y with respect to x?

10

17

-10

-17

Given g (x) = x2 − 6x − 16, which statement is true?

The zeros are -8 and 2, because the factors of g are (x + 8) and (x − 2).

The zeros are -8 and −2, because the factors of g are (x + 8) and (x + 2).

The zeros are -2 and 8, because the factors of g are (x + 2) and (x − 8).

The zeros are 2 and 8, because the factors of g are (x − 2) and (x − 8).

Which ordered pair is in the solution set of 8x + 16y > 32?

(0, 2)

( − 3, 5)

( − 1, 1)

(4, 0)

What is the equation in slope-intercept form of the line that passes through the points (−26, −11) and (39, 34)?

y = − 9/13x + 7

y = − 9/13x - 7

y = 9/13x + 7

y = 9/13x - 7

Question 7

7.

Which expression is equivalent to (x9 yz4)5?

x14 y6 z9

x14 y5 z9

x45 yz20

x45 y5 z20

The graph of linear function g passes through the points ( −7 , −4) and (7, 6), as shown.

What are the slope and y-intercept of the graph of g?

The slope is 5/7, and the y-intercept is −1.

The slope is 5/7, and the y-intercept is 1.

The slope is 7/5, and the y-intercept is −1.

The slope is 5/7, and the y-intercept is 1.

What is the solution to 4(y − 3) + 19 = 8(2y + 3) + 7?

− 1/2

1/2

− 2

2

The graph shows the number of game consoles sold in millions since 2009.

Based on this information, which function best models the number of game consoles sold in millions x years since 2009?

g (x) = 0.6(25.5)x

g (x) = 25.5(0.6)x

g (x) = 6.12(25.5)x

g (x) = 25.5(6.12)x

A ball is placed in a machine that throws the ball up in the air. The table represents some points on the graph of a function that models the ball’s distance from the ground with respect to the time since the ball has been thrown.

What is the range for this situation?

All real numbers less than or equal to 7.66

All real numbers less than or equal to 1.25

All real numbers greater than or equal to 0 and less than or equal to 7.66

All real numbers greater than or equal to 0 and less than or equal to 1.25

Question 13

13.

A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were black-and-white copies, and the rest were color copies. 
• Each black-and-white copy cost $0.08. 
• Each color copy cost $0.15. 
Which system of equations can be used to find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop?

b + c = 6.00 
0.08b + 0.15c = 68

b + c = 68 
0.15b + 0.08c = 6.00

b + c = 6.00 
0.15b + 0.08c = 68

b + c= 68 
0.08b + 0.15c = 6.00

The graph of a quadratic function is shown on the grid.

Which function is best represented by this graph?

f (x) = − 1/2x2 + 16

f (x) = −x2 + 16

f (x) = − 1/2x2 + 8

f (x) = −x2 + 8

The table of values shows a linear relationship between x and y.

What is the slope of the line represented by the table of values?

− 8/5 

− 5/8

8/5

5/8

Which expression is a factored form of 2x2 − 25x + 63?

(x + 9)(2x + 7)

(x − 9)(2x − 7)

(x + 7)(2x + 9)

(x − 7)(2x − 9)

What is the equation in standard form of the line that passes through the point (6, −1) and is parallel to the line represented by 8x + 3y = 15?

8x + 3y = −45

8x − 3y = −51

8x + 3y = 45

8x − 3y = 51

A conservation agency tracks the sea turtle population by counting the number of nesting sites where the turtles lay their eggs. The table shows the numbers of nesting sites for several years since 2001. The data can be modeled by an exponential function.

Which function best models the data?

n (x) = 25,956.80(1.08)x

n (x) = 46,797.94(0.93)x

n (x) = 1.08(25,956.80)x

n (x) = 0.93(46,797.94)x

A part of linear function g is graphed on the grid.

Which inequalities best describe the domain and range of the part shown?

Domain: −4 < x < 5 
Range: −7 < g (x) < 6

Domain: −7 < x < 6 
Range: −4 < g (x) < 5

Domain: −4 ≤ x ≤ 5 
Range: −7 ≤ g (x) ≤ 6

Domain: −7 ≤ x ≤ 6 
Range: −4 ≤ g (x) ≤ 5

Which value of x is a solution to this equation?
3x2 − 30x − 72 = 0

x = −12

x = −4

x = −2

x = −6

The tables of ordered pairs represent some points on the graphs of lines f and g.

Which system of equations represents lines f and g?

y = 1.75x + 3.5 
y = −4x − 8

y = 1.75x + 3.5 
y = −4x − 2

y = 3.5x + 1.75 
y = −4x − 8

y = 3.5x + 1.75 
y = −4x − 2

The graph of a linear function is shown on the grid.

What is the rate of change of y with respect to x for this function?

7/9

− 7/9

3/4

− 3/4

Which expression is equivalent to 36x4 y5 / (3xy)2 for all values of x and y where the expression is defined?

12x3 y4

27x2 y3

4x2 y3

6x3 y4

Question 28

28.

Which expression is equivalent to (3/2 p + 1 )( 1/2 p + 3 )?

2p2 + 3

4p2 + 3

3/4 p2 + 5p + 3

3/4 p2 + 10p + 3

Which inequality is best represented by the graph?

4x + 7y ≤ 49

4x + 7y < 49

7x + 4y ≤ 28

7x + 4y < 28

Which situation best shows causation?

The length of a rectangle affects the width of the rectangle.

The amount of time a cell phone is used affects the charge of its battery.

The number of ice-cream bars sold affects the number of milkshakes sold.

The number of soccerballs a team owns affects the number of games the team wins during the soccer season.

Which expression is equivalent to 16w2 + 24w + 9?

(4w + 3)2

(4w − 3)2

(8w + 3)2

(8w − 3)2

Question 33

33.

Which expression is equivalent to (15a0b2c34)(3a16b−29c0 ) for all values of a, b, and c where the expression is defined?

18 / b58

45 / b58

18a16c34 / b27

45a16c34 / b27

A contractor’s total earnings from a job include a fixed amount plus an amount based on the number of hours worked. The values in the table represent the linear relationship between the number of hours worked and the contractor’s total earnings in dollars.

What is the rate of change of the contractor’s total earnings in dollars with respect to the number of hours worked?

$8.75 per hour worked

$9.25 per hour worked

$10.00 per hour worked

$20.00 per hour worked

What is the solution set for 2x2 + 15 = −11x?

{−5, −1.5}

{2.5, 3}

{1.5, 5}

{−3, −2.5}

The table represents some points on the graph of an exponential function.

Which function represents this relationship?

f (x) = 16(3/2)x 

f (x) = 16(2/3)x 

f (x) = 36(3/2)x 

f (x) = 36(2/3)x 

Which statement best represents the equation of the line shown on the grid and its relationship to the x-axis?

The equation of the line is x = 2.5, and the line is parallel to the x-axis.

The equation of the line is x = 2.5, and the line is perpendicular to the x-axis.

The equation of the line is y = 2.5, and the line is parallel to the x-axis.

The equation of the line is y = 2.5, and the line is perpendicular to the x-axis.

Which expression is equivalent to 9n2 − 25?

(3n − 5)2

(3n + 5)(3n − 5)

9(n − 4)2

9(n + 4)(n − 4)

Question 41

41.

A quadratic function is graphed on the grid.

Which answer choice best represents the domain and range of the function?

Domain: x ≥ −3 
Range: y ≥ 5

Domain: All real numbers 
Range: y ≥ 5

Domain: x ≥ −3 
Range: All real numbers

Domain: y ≥ 5 
Range: x ≥ −3

The table represents some points on the graph of linear function f.

Which function represents f ?

f (x) = 26(x − 2)

f (x) = −26(x − 1)

f (x) = 13(x − 2)

f (x) = −2(26x − 1)

Which expression is equivalent to x2 + 10x + 24?

(x + 1)(x + 24)

(x + 2)(x + 12)

(x + 3)(x + 8)

(x + 4)(x + 6)

Question 46

46.

The scatterplot and table show the weekly profit in dollars earned from the sale of pastries at seven different prices. The data can be modeled by a quadratic function.

Which function best models the data?

y = 0.001x2 − 0.426x + 35.672

y = −60.4x2 + 348.1x − 334.2

y = 0.001x2 + 35.672

y = −60.4x2 − 334.2

Which expression is equivalent to 35m2 − 63?

7(5m2 − 9)

−7(5m2+9)

7m(m5 − 9)

−7m(m5 + 9)

A part of exponential function f is graphed on the grid.

Which inequality best represents the domain of the part shown?

x > 1

y > 1

x > −2

y > −2

What is the value of y in the solution to this system of equations?
6y + x = −59 
        x = −2y + 9

8.5

-17

43

-12.5

The graph models the linear relationship between the number of monthly payments made on a loan and the remaining balance in dollars left to pay on the loan.

Which statement describes the x-intercept of the graph?

The x-intercept is 60, which represents the initial balance in dollars of the loan.

The x-intercept is 27,000, which represents the initial balance in dollars of the loan.

The x-intercept is 60, which represents the number of monthly payments needed to repay the loan.

The x-intercept is 27,000, which represents the number of monthly payments needed to repay the loan.

The graph of f (x) = x2 was translated 4.5 units to the left to create the graph of function g. Which function represents g?

g (x) = (x − 4.5)2

g (x) = (x + 4.5)2

g (x) = x2 − 4.5

g (x) = x2 + 4.5

Question 53

53.

What is the solution to this equation?
−4(2m − 7) = 3(52 − 4m)

32

46

−6.4

−40.75

Based on this information, which graph could represent p?

Which graph best represents the solution set to this system of inequalities?

The graph of f (x) = x2 is reflected over the x-axis and is stretched horizontally to create the graph of function g. Which graph could represent g?

Which graph best represents a function with a domain of all real numbers less than or equal to 6?

Linear function t has an x-intercept of -1and a y-intercept of 5. Which graph best represents t?

Which graph best represents the solution set of y ≤ 3/4x − 4?

Which graph best represents y = 5(1/3)x?