Quiz about STAAR 2016 Test Questions

Question 1

The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c = 34.95u + 6.25, where u is the number of uniforms bought. If there are at least 8 players but nor more than 12 players on the volleyball team, what is the domain of the function for this situation?

Accepted Answer

{8, 9, 10, 11, 12}

Answer

$$0\ <\ u\ \le12$$

Answer

$$0\ <\ c\ \le\ 425.65$$

Answer

{285.85, 320.80, 355.75, 390.70, 425.65}

Question 2

Which equation in standard form has a graph that passes through the point (-4, 2) and has a slope of $$\frac{9}{2}$$ ?

Accepted Answer

9x - 2y = -40

Answer

9x - 2y = 36

Answer

9x - 2y = 26

Answer

9x - 2y = -10

Question 3

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

Which function represents the same relationship?

Accepted Answer

h(x) = -3x - 10.5

Answer

h(x) = -x - 3.5

Answer

h(x) = 3x -10.5

Answer

h(x) = x - 3.5

Question 4

An organization has a monthly budget of x dollars. Every month $2,070 is spent on salaries. One-fourth of the remaining budget is spent on monthly activities. Which function can be used to find the amount in dollars spent on monthly activities?

Accepted Answer

$$f\left(x\right)\ =\ \frac{x\ -2,070}{4}$$

Answer

$$f\left(x\right)\ =\ 2,070\ +\ \frac{x}{4}$$

Answer

$$f\left(x\right)\ =\ 2,070\ -\ \frac{x}{4}$$

Answer

$$f\left(x\right)\ =\ \frac{x\ +2,070}{4}$$

Question 5

What is the slope of the line that passes through the points (26, 7) and (-39, 12)?

Accepted Answer

$$-\ \frac{1}{13}$$

Answer

$$\frac{5}{13}$$

Answer

-13

Answer

$$\frac{13}{5}$$

Question 6

A savings account balance can be modeled by the graph of the linear function shown on the grid. What is the rate of change of the balance with respect to the number of deposits?

Accepted Answer

$100 per deposit

Answer

$50 per deposit

Answer

$0.50 per deposit

Answer

$2.00 per deposit

Question 7

Linear function f(x) = x is graphed on a coordinate plane. The graph of a new line is formed by changing the slope of the original line to $$\frac{2}{3}$$ and the y-intercept to 4. Which statement about the relationship between these two graphs is true?

Accepted Answer

The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated up.

Answer

The graph of the new line is steeper than the graph of the original line, and the y-intercept has been translated down.

Answer

The graph of the new line is steeper than the graph of the original line, and the y-intercept has been translated up.

Answer

The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated down.

Question 8

The scatterplot shows the monthly high temperatures for Austin, Texas, in degrees Fahrenheit over a 12-month period. What function best models the data from Month 1 to Month 9?

Accepted Answer

y = 2.5x + 90

Answer

y = -1.6x + 111

Answer

y = 3.5x + 85

Answer

y = -3.3x + 130

Question 9

What value of x makes the equation -5x - (-7- 4x) = -2 (3x - 4) true?

Accepted Answer

x = $$\frac{1}{5}$$

Answer

x = 3

Answer

x = 5

Answer

x = $$\frac{1}{3}$$

Question 10

Which table represents y as a function of x?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 11

Which of the following is equivalent to 3x - 4y = 6?

Accepted Answer

$$y\ =\ \frac{3}{4}x\ -\ \frac{3}{2}$$

Answer

$$y\ =\ -\frac{6}{7}x$$

Answer

$$y\ =\ -\frac{3}{4}x$$

Answer

$$y\ =\ \frac{4}{3}x\ +\ 2$$

Question 12

Baseball fans can buy tickets for seats in the lower deck or upper deck of the stadium. Tickets for the lower deck cost $42 each. Ticket prices for the upper deck are 75% of the cost of tickets for the lower deck. Which inequality represents all possible combinations of x, the number of tickets for the lower deck, and y, the number of tickets for the upper deck, that someone can buy for no more than $800?

Accepted Answer

$$42x\ +\ 31.5y\ \le\ 800$$

Answer

$$42x\ +\ 56y\ \le800$$

Answer

$$42x\ +\ 56y\ >800$$

Answer

$$42x\ +\ 31.5y\ >\ 800$$

Question 13

A bag contains 18 coins consisting of quarters and dimes. The total value of the coins is $2.85. Which system of equations can be used to determine the number of quarters, q, and the number of dimes, d, in the bag?

Accepted Answer

0.25 + 0.10d = 2.85

q + d = 18

Answer

0.10q + 0.25d = 2.85

q + d = 18

Answer

0.10q + 0.25d = 18

q + d = 18

Answer

0.25q + 0.10d = 18

q + d = 2.85

Question 14

The graph of 0.5x - 2y = 3 is shown on the grid. Which ordered pair is in the solution set $$0.5x\ -\ 2y\ \ge\ 3?\ $$

Accepted Answer

(2, -1)

Answer

(-2, 0.5)

Answer

(2, 1)

Answer

(-2, -0.5)

Question 15

Which inequality describes all the solutions to $$5\ \left(3\ -x\right)\ <\ -\ 2x\ +\ 6$$ ?

Accepted Answer

x > 3

Answer

x > - 9

Answer

x < -3

Answer

x > 7

Question 16

What is the solution to this system of equations?

$$10x\ -\ y\ =\ 53\ \ \ \ \ \ \ \ \ \ $$

$$y\ =\ \frac{-13x\ +\ 92}{2}$$

Accepted Answer

(6, 7)

Answer

(2, 33)

Answer

(7, 6)

Answer

(33, 2)

Question 17

Which expression is equivalent to $$2x^2\ +\ \left(4x\ -\ 6x^2\right)+\ 9\ -\ \left(6x\ +3\right)$$

Accepted Answer

$$-4x^2\ -\ 2x\ +\ 6$$

Answer

$$-4x\ -\ 2x\ +\ 12$$

Answer

$$-10x\ +\ 6$$

Answer

$$18x\ +\ 12$$

Question 18

The diagram shows the floor plan of a storage facility. All dimensions are given in feet.

Which expression represents the area of the storage facility in square feet?

Accepted Answer

$$20x^2-4x\ -\ 16$$

Answer

$$20x^2\ +\ 36x\ -\ 16$$

Answer

$$16x^{2\ }-\ 16$$

Answer

$$9x^2\ -\ 16$$

Question 19

Which expression is equivalent to $$9q^2-\frac{2}{3}\left(3q\ -\ 7\right)\ +\ 5q^2$$

Accepted Answer

$$14q^2-\ 2q\ +\ \frac{14}{3}$$

Answer

$$9q^2\ -\ \frac{5}{3}q\ -\ 3$$

Answer

$$9q^2\ -\ 2q\ -\ 3$$

Answer

$$14q^2\ -\ \frac{5}{3}q\ -\ \frac{14}{3}$$

Question 20

Which expression is equivalent to 2x² + 7x + 4?

Accepted Answer

None of these

Answer

(2x - 1) (x + 4)

Answer

(2x + 1) (x - 4)

Answer

(2x + 1) (x + 4)

Question 21

Which expression is a factor of 36x² - 49?

Accepted Answer

6x - 7

Answer

18x - 7

Answer

6x - 49

Answer

18x - 49

Question 22

Which expression is equivalent to $$\frac{14a^4b^6c^{-10}}{8a^{-2}b^3c^{-5}}$$

Accepted Answer

$$\frac{7a^6b^3}{4c^5}$$

Answer

$$\frac{7a^2b^3}{4c^{15}}$$

Answer

$$\frac{6a^2b^9}{c^{15}}$$

Answer

$$\frac{7b^2c^2}{4a^2}$$

Question 23

Which statement about k(x) = -x² -2x + 15 is true?

Accepted Answer

The zeros are -5 and 3, because k(x) = -(x+5)(x-3).

Answer

The zeros are -3 and 5, because k(x) = -(x +3)(x-5).

Answer

The zeros are -5 and -3, because k(x) = -(x+5)(x+3).

Answer

The zeros are 3 and 5, because k(x) = -(x-3)(x-5).

Question 24

The graph of f(x) = x² is shown on the grid. Which statement about the relationship between the graph of f and teh graph of g(x) = 7x² is true?

Accepted Answer

The graph of g is narrower than the graph of f.

Answer

The graph of g is wider than the graph of f.

Answer

The graph of g is 7 units below the graph of f.

Answer

The graph of g is 7 units above the graph of f.

Question 25

The sum of the first n consecutive even numbers can be found using S = n² + n, where $$n\ge2$$ . What is the value of n when the sum is 156?

Accepted Answer

12

Answer

6

Answer

39

Answer

26

Question 26

The graph of an exponential function is shown on the grid. Based on the graph, which statement about the funciton is true?

Accepted Answer

The range is the set of all real numbers greater than 0.

Answer

The range is the set of all real numbers less than 0.

Answer

The domain is the set of all real numbers greater than -4.

Answer

The domain is the set of all real numbers less than -4.

Question 27

The table contains some points on the graph of an exponential function. Based on the table, which function represents the same relationship?

Accepted Answer

q(x) = 0.0625(4)^x

Answer

q(x) = 0.25^x

Answer

q(x) = 256(0.25)^x

Answer

q(x) = 0.5(4)^x

Question 28

The number of stores opened by a coffee company can be modeled by the exponential function graphed on the grid, where x is the number of years since 1992. Based on the graph, which statement does NOT appear to be true.

Accepted Answer

Since 1992 the coffee company has opened 250 stores each year.

Answer

The coffee company had opened 400 stores by the end of 1992.

Answer

The coffee company opened 100 stores in one year.

Answer

Every year the number of stores the coffee company opened increased by 25%.

Question 29

The exponential function modeled below represents the number of square kilometers of land occupied by cane toads x years after this animal was first introduced into Australia.

Based on the data, which measurement is closed to the number of square kilometers of land that will be occupied by cane toads 40 years after this animal was first introduced into Australia?

Accepted Answer

800,000 km²

Answer

550,000 km²

Answer

1,250,000 km²

Answer

600,000 km²

STAAR 2016 Test Questions

32 questions

The table represents some points on the graph of a linear function.
Which function represents the same relationship?

An organization has a monthly budget of x dollars. Every month $2,070 is spent on salaries. One-fourth of the remaining budget is spent on monthly activities. Which function can be used to find the amount in dollars spent on monthly activities?

In an electrical circuit, the voltage across a resistor is directly proportional to the current running through the resistor. If a current of 12 amps produces 480 volts across a resistor, how many volts would a current of 1.5 amps produce across an identical resistor.

What is the slope of the line that passes through the points (26, 7) and (-39, 12)?

A savings account balance can be modeled by the graph of the linear function shown on the grid. What is the rate of change of the balance with respect to the number of deposits?

What is the y-intercept of the line graphed on the grid?

The scatterplot shows the monthly high temperatures for Austin, Texas, in degrees Fahrenheit over a 12-month period. What function best models the data from Month 1 to Month 9?

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