Quiz about STAAR Algebra 1 Question Bank - 2016

Question 1

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 per deposit

Question 2

Which expression is equivalent to 2x² + (4x - 6x²) + 9 - (6x + 3)?

Accepted Answer

-4x² - 2x + 6

Answer

-4x² - 2x + 12

Answer

-10x + 6

Answer

18x +12

Question 3

Function p is in the form y =ax² + c. If the values of a and c are both less than 0, which graph could represent p?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 4

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 5

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 6

What value of x makes the equation

-5x - (-7 - 4x) = -2(3x - 4) true?

Accepted Answer

x = 1/5

Answer

x = 3

Answer

x = 5

Answer

x = 1/3

Question 7

The starting annual salary for an office worker at a company is $29,000. If the company awards an annual increase of 6.2%, which graph models this situation after the office worker receives x annual increases?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 8

Which expression is equivalent to the expression above?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 9

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 ²/₃and 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 10

The table shows some ordered pairs that belong to quadratic function h. What is the range of h?

Accepted Answer

All real numbers greater than or equal to -8

Answer

All real numbers

Answer

All real numbers greater than or equal to -7

Answer

All real numbers greater than or equal to 0

Question 11

A sports magazine prints 12 issues per year, and a technology magazine prints 10 issues per year. The total number of pages in all the issues of the sports magazine for one year is 32 more than the total number of pages in all the issues of the technology magazine for one year. Each issue of the sports magazine has 18 fewer pages than each issue of the technology magazine. Which system of equations can be used to find s, the number of pages in each issue of the sports magazine, and t, the number of pages in each issue of the technology magazine?

Accepted Answer

s = t - 18

12s = 10t + 32

Answer

t = s - 18

10t = 12s + 32

Answer

s = t - 18

10s = 12t + 32

Answer

t = s - 18

12t = 10s + 32

Question 12

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

Accepted Answer

5.5

Answer

7.5

Answer

- 4/3

Answer

- 8/6

Question 13

Which expression is equivalent to 9q² - ²/₃ (3q - 7) + 5q²?

Accepted Answer

14q² - 2q - ¹⁴/₃

Answer

9q² - ⁵/₃ q - 3

Answer

9q² - 2q - 3

Answer

14q² - ⁵/₃q - ¹⁴/₃

Question 14

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 15

The exponential function modeled above 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 closest 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

Question 16

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

Accepted Answer

y = ³/₄ x - ³/₂

Answer

y = -⁶/₇x

Answer

y = -³/₄x

Answer

y = ⁴/₃ x + 2

Question 17

The table represents some points on the graph of a linear function. What is the rate of change of y with respect to x for this function?

Accepted Answer

-9/2

Answer

2/9

Answer

9/2

Answer

-2/9

Question 18

A manager purchased a total of 21 coffee mugs and key chains. Each coffee mug cost $8.50, and each key chain cost $2.75. If the manager spent a total of $132.50, how many coffee mugs did the manager purchase?

Accepted Answer

13

Answer

8

Answer

16

Answer

5

Question 19

The graph of an exponential function is shown on the grid. Based on the graph, which statement about the function 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 20

Which graph represents -3x + 5y = -15?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 21

The graph of f(x) = x²is shown on the grid. Which statement about the relationship between the graph of f and the graph of g(x) =7x² is true?

Accepted Answer

The graph of g is narrower that 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 22

Which expression is a factor of 36x² - 49?

Accepted Answer

6x - 7

Answer

18x - 7

Answer

6x - 49

Answer

18x - 49

Question 23

The scatterplot shows the monthly high temperatures for Austin, Texas in degrees Fahrenheit over a 12-month period. Which 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 24

Given f(x) = 6(1 - x), what is the value of f(-8)?

Accepted Answer

54

Answer

-42

Answer

42

Answer

-54

Question 25

Which graph can be used to find the solution to the system of equations below?

2x + y = -4

-3y = 2x + 12

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 26

Which inequality describes all the solutions to

5(3 - x) < -2x + 6?

Accepted Answer

x > 3

Answer

x < -9

Answer

x < -3

Answer

x > 7

Question 27

The graph of quadratic function g is shown on the grid. The coordinates of the x-intercepts, the y-intercept, and the vertex are integers. What is the maximum value of g?

Accepted Answer

9

Answer

2

Answer

8

Answer

-4

Question 28

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

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 29

Which table represents y as a function of x?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 30

Which statement about f(x) = 2x² - 3x -5 is true?

Accepted Answer

The zeros are -1 and ⁵/₂, because f(x) =(x + 1) (2x - 5).

Answer

The zeros are -⁵/₂ and -1, because f(x) =(x + 1) (2x + 5).

Answer

The zeros are -⁵/₂ and 1, because f(x) =(x - 1) (2x + 5).

Answer

The zeros are 1 and ⁵/₂, because f(x) =(x - 1) (2x - 5).

Question 31

What is the solution to the system of equations?

Accepted Answer

(6, 7)

Answer

(2, 33)

Answer

(7, 6)

Answer

(33, 2)

Question 32

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 33

Quadratic functions q and w are graphed on the same coordinate grid. The vertex of the graph of q is 18 units below the vertex of the graph of w. Which pair of functions could have been used to create the graphs of q and w?

Accepted Answer

q(x) = x² - 18

w(x) = x²

Answer

q(x) = 18x²

w(x) = x²

Answer

q(x) = x² + 18

w(x) = x²

Answer

q(x) = -18x²

w(x) = x²

Question 34

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?

Accepted Answer

60

Answer

6

Answer

20

Answer

30

Question 35

Which graph shows a line with an x-intercept of -5?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 36

A graph of f(x) = 6x² -11x + 3 is shown on the grid. What are the zeros of f?

Accepted Answer

¹/₃and ³/₂

Answer

3

Answer

2 and 9

Answer

¹¹/₁₂

Question 37

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

Accepted Answer

9x - 2y = - 40

Answer

9x - 2y = 36

Answer

9x - 2y = 26

Answer

9x - 2y = -10

Question 38

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

0.25q + 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 = 2.85

Answer

0.25q + 0.10d = 18

q + d = 2.85

Question 39

Which expression is a factor of x² - 5x - 6?

Accepted Answer

x - 6

Answer

x - 2

Answer

x - 3

Answer

x - 1

Question 40

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

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 store the coffee company opened increased by 25%.

Answer

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

Question 41

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

Accepted Answer

- ¹/₁₃

Answer

5/13

Answer

-13

Answer

13/5

Question 42

What is the solution to 0.3(12x - 16) = 0.4(12 - 3x)

Accepted Answer

2

Answer

- 2

Answer

4

Answer

- 4

Question 43

Which graph represents a function with a domain of all real numbers greater than or equal to -7 and less than 2?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 44

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

9x2 - 16

Answer

20x²+ 36x - 16

Answer

20x²- 4x - 16

Answer

16x2 - 16

STAAR Algebra 1 Question Bank - 2016

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