Quiz about Algebra 1 - STAAR 2023

Question 1

A.2A - The domain and range if part of linear function r are given.

$$x>5$$

$$y<2$$

Accepted Answer

Question 2

A.2C - The table represents some points on the graph of a linear function.

Which function represents the relationship?

Accepted Answer

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

Answer

$$y=-\frac{3}{2}x-14$$

Answer

$$y=-\frac{2}{3}x-9$$

Answer

$$y=-\frac{2}{3}x-1$$

Question 3

A.2C - Printer ink costs $18.99 per cartridge. The company that sells the ink cartridges charges a flat rate shipping fee of $7.95, no matter the number of cartridges purchased in a single order.

Which linear function models the total cost, t, for a single order of c cartridges?

Accepted Answer

$$t=18.99c+7.95$$

Answer

$$c=26.94t$$

Answer

$$x=18.99t+7.95$$

Answer

$$t=26.94c$$

Question 4

A.2E - The graph shows point P and line m.

Which equation best represent the slope-intercept form of the line that passes through point P and is parallel to line m?

Accepted Answer

$$y=\frac{3}{2}x+5$$

Answer

$$y=\frac{3}{2}x-5$$

Answer

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

Answer

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

Question 5

A.2G - A line is graphed on a coordinate grid.

Which statement about the line is true?

Accepted Answer

The equation of the line is x = -4, and the slope is undefined.

Answer

The equation of the line is y = -4, and the slope is equal to -4.

Answer

The equation of the line is x = -4, and the slope is equal to -4.

Answer

The equation of the line is y = -4, and the slope is undefined.

Question 6

A.3A - A line contains the points (-2, -2) and (4, 2).

What is the slope of the line/

Accepted Answer

$$\frac{2}{3}$$

Answer

$$-\frac{2}{3}$$

Answer

$$\frac{3}{2}$$

Answer

$$-\frac{3}{2}$$

Question 7

A.3B - A construction worker built steps up to a home. The table shows the linear relationship between the height off the ground in inches and the number of steps.

What is the rate of change of height off the ground with respect to the number of steps?

Accepted Answer

$$7$$ in. per step

Answer

$$14$$ in. per step

Answer

$$\frac{1}{7}$$ in. per step

Answer

$$\frac{1}{14}$$ in. per step

Question 8

A.3C - The graph of linear function, f, is shown.

What is the zero of f.

Accepted Answer

2

Answer

-3

Answer

3

Answer

-6

Question 9

A.3C - The graph of a linear function is shown on the grid.

What are the x-intercept and the y-intercept of the line?

Accepted Answer

x-intercept: (-2, 0)

y-intercept: (0, 8)

Answer

x-intercept: (8, 0)

y-intercept: (0, -2)

Answer

x-intercept: (-2, 0)

y-intercept: (0, 4)

Answer

x-intercept: (4, 0)

y-intercept: (0, 8)

Question 10

A.3E - The graph of the function f(x) = x is transformed to a form function g(x) such that g(x) = 3f(x). Which graph represents f and g?

Accepted Answer

Question 11

A.4A - The table shows the number of species added to the United States endangered species list each year for several years. A linear function can be used to model the data.

Which correlation best describes the strength of the linear association between the number of species added to the United States endangered species list and the year?

Accepted Answer

Weak negative correlation, because $$r\approx-0.09$$

Answer

Weak negative correlation, because $$r\approx-0.91$$

Answer

Strong negative correlation, because $$r\approx-0.09$$

Answer

Strong negative correlation, because $$r\approx-0.91$$

Question 12

A.4C - The table shows the number of customers each hour for an online sale.

Which function best models the data in the table?

Accepted Answer

$$f\left(x\right)=337-41x$$

Answer

$$f\left(x\right)=296-41x$$

Answer

$$f\left(x\right)=317-38x$$

Answer

$$f\left(x\right)=296-38x$$

Question 13

A.5A - A rectangle has a length of (5 + 2x) inches and a width of 10 inches. A triangle has a base of 30 inches and a height of (4x - 10) inches. The area in square inches of the rectangle is equal to the are in square inches of the triangle. What is the value of x?

Accepted Answer

5

Answer

2.5

Answer

3

Answer

7.5

Question 14

A.5A - What is the solution to the equation $$5\left(2w+4\right)=4\left(2w+9\right)$$

Accepted Answer

$$w=8$$

Answer

$$w=\frac{5}{2}$$

Answer

$$w=\frac{28}{9}$$

Answer

$$w=5$$

Question 15

A.12B - A function is shown.

$$g\left(x\right)=6\left(2x+7\right)$$

What is value of $$g\left(20\right)$$ ?

Accepted Answer

282

Answer

167

Answer

324

Answer

247

Question 16

A.12C - A sequence if defined by $$f\left(1\right)=27$$ and $$f\left(n\right)=\frac{1}{3}f\left(n-1\right)$$ for each whole number n, where as n > 1. What are the first four terms of the sequence?

Accepted Answer

27, 9, 3, 1

Answer

27, 81, 243, 729

Answer

$$\frac{1}{3},\frac{28}{3},\frac{55}{3},\frac{82}{3}$$

Answer

$$\frac{1}{3},\frac{1}{81},\frac{1}{2,187},\frac{1}{59,049}$$

Question 17

A.12E - Which equation is equivalent to $$S=PH+2B$$ when solved for B?

Accepted Answer

$$B=\frac{S-Ph}{2}$$

Answer

$$B=\frac{2S}{Ph}$$

Answer

$$B=\frac{SPh}{2}$$

Answer

$$B=\frac{S-2}{Ph}$$

Question 18

A.2I - The tables of ordered pairs represent some points on the graph of two different lines.

Which system of equations represents the graph of these two lines?

Accepted Answer

6x + y = 15

3x + y = -9

Answer

x - 6y = -90

x - 3y = 27

Answer

x + 6y = 90

x + 3y = -27

Answer

6x - y = -15

3x - y = 9

Question 19

A.3D - Which ordered pair is in the solution set of

$$y\le\frac{3}{5}x-6$$

Accepted Answer

(5, -4)

Answer

(-2, -5)

Answer

(9, 1)

Answer

(-8, 3)

Question 20

A.3G - The two types of tickets sold at a baseball game are standard tickets and discounted tickets. The price of a discounted ticket was 80% of the price of a standard ticket.

-- There were 153 standard tickets sold at the baseball game.

-- There were 47 discounted tickets sold at the baseball game.

-- The total amount of ticket sales from the standard and discounted tickets was $2,649.34

The line graphed on the grid represents the first equation in a system of linear equations for this situation.

If the second equation in the systems is y = 0.80x, what is the best estimate of the price of a discounted ticket?

Accepted Answer

$11.15

Answer

$13.95

Answer

$14.55

Answer

$13.25

Question 21

A.5C - What is the solution to this system of equations?

$$-3x+5y=21$$

$$6x-y=-15$$

Accepted Answer

(-2, 3)

Answer

(2, 27)

Answer

(2,0)

Answer

(-3, -3)

Question 22

A.5C - A company advertises on two websites. Each website charges a different amount based on the number of clicks on the advertisement. The table shows the number of clicks on each website and the total cost for each of two days.

What is the cost per click on Website 1?

Accepted Answer

$2.70

Answer

$1.85

Answer

$5.38

Answer

$2.20

Question 23

A.10B - Which expression is equivalent to

$$\left(2a+5\right)\left(3a-2\right)$$

Accepted Answer

$$6a^2+11a-10$$

Answer

$$17a-10$$

Answer

$$6a^2-10$$

Answer

$$6a^2+19a+10$$

Question 24

A.10C - What is the quotient represented by the expression $$\frac{8w^2-20w-12}{2w+1}$$ for all values of w where the expression is defined?

Accepted Answer

4w - 12

Answer

4w + 12

Answer

w - 3

Answer

w + 3

Question 25

A.10D - Which expression is equivalent to

$$24gh-12g^2+18g$$

Accepted Answer

6g (4h - 2g + 3)

Answer

6g (4h - 12g + 18)

Answer

12g (2h - 12g + 18)

Answer

12g (2h - g + 3)

Question 26

A.10E - Which expression is a factor of

$$30x^2-4x-16$$

Accepted Answer

5x - 4

Answer

5x + 4

Answer

3x - 2

Answer

3x - 4

Question 27

A.10E - Which expressions are equivalent to

$$12x^2-48x+48$$

Select TWO correct answers.

Accepted Answer

$$12\left(x-2\right)^2$$

Accepted Answer

$$12\left(x^2-4x+4\right)$$

Answer

$$-12\left(x^2-4x+4\right)$$

Answer

$$12\left(x-4\right)\left(x-1\right)$$

Answer

$$-12\left(x-2\right)^2$$

Question 28

A.11A - Which expression is equivalent to $$\sqrt[]{600}$$

Accepted Answer

$$10\ \sqrt[]{6}$$

Answer

$$6\ \sqrt[]{10}$$

Answer

$$24\ \sqrt[]{25}$$

Answer

$$25\ \sqrt[]{24}$$

Question 29

A.11B - Which expression is equivalent to

$$\left(x^{\frac{3}{7}}\right)^2$$

Accepted Answer

$$x^{\frac{6}{7}}$$

Answer

$$x^{\frac{6}{14}}$$

Answer

$$x^{\frac{17}{7}}$$

Answer

$$x^{\frac{5}{7}}$$

Question 30

A.6A - Which statement about the function $$n\left(x\right)=5x^2-20x+12$$

Accepted Answer

The range of the function is $$n\left(x\right)\ge-8$$

Answer

The domain of the function is $$x\ge2$$

Answer

The domain of the function is $$x\ge0$$

Answer

The range of the function $$n\left(x\right)\le12$$

Question 31

A.6A - The table represents some points on the graph of quadratic function g.

What is the range of g?

Accepted Answer

All real numbers less than or equal to $$\frac{19}{4}$$

Answer

All real numbers less than or equal to $$\frac{3}{2}$$

Answer

All real numbers greater than or equal to $$\frac{3}{2}$$

Answer

All real numbers greater than or equal to $$\frac{19}{4}$$

Question 32

A.6B - Which quadratic function in vertex form can be represented by the graph that has a vertex at (1, 46) and passes through the point (3, 10)?

Accepted Answer

$$y=-9\left(x-1\right)^2+46$$

Answer

$$y=9\left(x-3\right)^2+10$$

Answer

$$y=9\left(x-1\right)^2+46$$

Answer

$$y=-9\left(x-3\right)^2+10$$

Question 33

A.6C - The graph of quadratic function h is shown.

Which function best represents h?

Accepted Answer

$$h\left(x\right)=x^2+2x-3$$

Answer

$$h\left(x\right)=x^2-2x-3$$

Answer

$$h\left(x\right)=x^2+4x+3$$

Answer

$$h\left(x\right)=x^2-4x+3$$

Question 34

A.7A - The graph of a quadratic function is shown on the grid.

Which statement appears to be true?

Accepted Answer

The equation of the axis of symmetry of the graph of the function is x=1

Answer

The function has 3 zeros.

Answer

The maximum value of the function is 3.

Answer

THe vertex of the graph of the function is (4, 1)

Question 35

A.7A - The graph of a quadratic function is shown.

Which values best represent the zeros of the function? Select TWO correct answers.

Accepted Answer

x = -1

Accepted Answer

x = 3

Answer

x = 1

Answer

x = -4

Answer

x = -3

Question 36

A.7B - Which statement about $$f\left(x\right)=4x^2-36x+81$$ is true?

Accepted Answer

The zero is $$\frac{9}{2}$$ because $$f\left(x\right)=\left(2x-9\right)^2$$

Answer

The zeros are $$\frac{3}{4}$$ and -27 because $$f\left(x\right)=\left(4x-3\right)\left(x-27\right)$$

Answer

The zeros are $$-\frac{3}{2}$$ and $$\frac{27}{2}$$ because $$f\left(x\right)=\left(2x+3\right)\left(2x+27\right)$$

Answer

The zeros are $$\pm\frac{9}{2}$$ because $$f\left(x\right)=\left(2x-9\right)\left(2x+9\right)$$

Question 37

A.8A - Function k is defined as $$k\left(x\right)=x^2+32x+248$$ .

What are the solutions to k(x) = 0

Accepted Answer

$$x=-16+2\ \sqrt[]{2}$$ and $$x=-16-2\ \sqrt[]{2}$$

Answer

$$x=16+2\ \sqrt[]{2}$$ and $$x=16-2\ \sqrt[]{2}$$

Answer

$$x=-32+4\ \sqrt[]{2}$$ and $$x=-32-4\ \sqrt[]{2}$$

Answer

$$x=32+4\ \sqrt[]{2}$$ and $$x=32-4\ \sqrt[]{2}$$

Question 38

A.8B - An experiment examined the relationship between the number of miles a car traveled, y, per gallon of gasoline and the speed of the car, x, in miles per hour. The table displays the data collected.

A quadratic function can be used to model the data in the table. Which value best estimates the miles per gallon when the speed is 65 miles perhour?

Accepted Answer

27.9

Answer

31.0

Answer

40.2

Answer

24.9

Question 39

A.9A - Which statement about $$p\left(x\right)=-7\left(4\right)^x$$ is true?

Accepted Answer

The range is all real numbers less than 0.

Answer

The domain s all real numbers greater than or equal to 4.

Answer

THe domain is all real numbers less than or equal to 0.

Answer

The range is all real numbers.

Question 40

A.9B - The function $$w\left(t\right)=270\left(1.029\right)^t$$ can be used to estimate the number of whales in the North Atlantic Ocean at the end of t year. What does 1.029 represent in this function?

Accepted Answer

The growth factor of the number of whales in the North Atlantic Ocean

Answer

The initial number of whales in the North Atlantic Ocean

Answer

The decay factor of the number of whales in the North Atlantic Ocean

Answer

The number of whales in the North Atlantic Ocean at the end of the first year

Question 41

A.9C - Researchers studied the population of a town over time and modeled the data using an exponential function.

-- The initial estimated population was 48,000

-- After the first year, the population of town was 50,400

If the population of the town continues to grow at this rate each year, which function can be used to model the population x years after the researchers began their study?

Accepted Answer

$$p\left(x\right)=48,000\left(\frac{50,400}{48,000}\right)^x$$

Answer

$$p\left(x\right)=50,400\left(\frac{50400}{48000}\right)^x$$

Answer

$$p\left(x\right)=50,400\left(\frac{1}{48,000}\right)^x$$

Answer

$$p\left(x\right)=48,000\left(\frac{1}{50,400}\right)^x$$

Question 42

A.9C - This year the number of students who participated in sports was 317. Each year the number of students who participate in sports increases by 4%.

Which function can be used to model the number of students participating in sports after x years?

Accepted Answer

$$f\left(x\right)=317\left(1.04\right)^x$$

Answer

$$f\left(x\right)=317\left(4\right)^x$$

Answer

$$f\left(x\right)=4x+317$$

Answer

$$f\left(x\right)=1.04x+317$$

Question 43

A.9D - A customer purchases an electronic device for $650. Each year the value of the electronic device decreases by 30%.

Which statement is true about the graph that represents the relationship between the value of the device in dollars y, and the number of years, x, since the device was purchased?

Accepted Answer

The y-intercept of the graph is 650.

Answer

The y-intercept of the graph is 455

Answer

The graph has a vertical asymptote at

x = 0

Answer

The graph has a horizontal asymptote at y = 30

Algebra 1 - STAAR 2023

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