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WorksheetsALG1 STAAR Prep
Total questions: 77
Worksheet time: 3hrs 34mins
(2023.1) The table represents some points on the graph of a linear functions.
Which function represents this relationship?
y=−23x+4
y=−23x−14
y=−32x−9
y=−32x−1
(2023.2) The water level in a tank is changing at a constant rate. The graph shows the relationship between time in hours, x, and the water level in meters, y. Complete the statement that describes the rate of change of the water level with respect to time.
Move the correct answer to each box. Not all answers will be used.
The water level (a) at a rate of (b) m/h.
(2023.3) The graph of quadratic function h is shown.
Which function best represents h?
h(x)=x2+2x−3
h(x)=x2−2x−3
h(x)=x2+4x+3
h(x)=x2−4x+3
(2023.4) 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 area in square inches of the triangle.
What is the value of x?
2.5
3
7.5
5
(2023.5) Which expression is a factor of 30x2−4x−16 ?
5x+4
3x−2
5x−4
3x−4
(2023.6) 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?
Weak negative correlation, because r≈−0.91
Weak negative correlation, because r≈−0.09
Strong negative correlation, because r≈−0.91
Strong negative correlation, because r≈−0.09
(2023.7) A part of a lienar function is shown on the grid.
What is the range of the part of the linear function shown?
Choose the correct answer from each drop-down menu to complete the sentence.
The range is the set of all real numbers (a) and (b) .
(2023.8) Which statement about f(x)=4x2−36x+81 is true?
The zeroes are 43 and −27 because f(x)=(4x−3)(x−27) .
The zeroes are −23 and 227 because f(x)=(2x+3)(2x+27) .
The zeroes are ±29 because f(x)=(2x−9)(2x+9) .
The only zero is 29 because f(x)=(2x−9)2 .
(2023.9) What is the equation of the asymptote of the graph of the function y=16(0.75)x ?
Move the correct answer to each box. Not all answers will be used.
(a) = (b)
(2023.10) Which expression is equivalent to (x73)2 ?
x146
x717
x76
x75
(2023.11) Which statement about the function n(x)=5x2−20x+12 is true?
The domain of the function is x≥2 .
The range of the function is n(x)≥−8 .
The domain of the function is x≥0 .
The range of the function is n(x)≤12 .
(2023.12) A customer is ordering hats and T-shirts from an online store. Each hat costs $7, and each T-shirt costs $10. The customer receives free shipping if the amount of the order is over $100.
Write an inequality that represents all possible combinations of hats, x, and T-shirts, y, in an order that qualifies for free shipping.
Move the correct answer to each box. Not all answers will be used.
(a) x + (b) y (c) (d)
(2023.13) 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 per hour?
27.9
31.0
40.2
24.9
(2023.14) Researchers studied the population of a town over time and modeled the data useing an exponential function.
The initial estimated population was 48,000.
After the first year, the population of the 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.
p(x)=48,000(48,00050,400)x
p(x)=50,400(48,00050,400)x
p(x)=50,400(48,0001)x
p(x)=48,000(50,4001)x
(2023.15) The graph of the function f(x)=x is transformed to form function g(x) such that g(x)=3f(x) . Which graph represents f and g ?
(2023.16) What is the quotient represented by the expression 2w+18w2−20w−12 ?
4w+12
4w−12
w−3
w+3
(2023.17) Which ordered pair is in the solution set of y≤53x−6 ?
(5, −4)
(−2, −5)
(9, 1)
(−8, 3)
(2023.18) Which statement about p(x)=−7(4)x is true?
The domain is all real numbers greater than for equal to 4.
The range is all real numbers less than 0.
The domain is all real numbers less than or equal to 0.
The range is all real numbers.
(2023.19) The graph of a quadratic function is shown on the grid.
Which statement appears to be true?
The function has 3 zeroes.
The maximum value of the function is 3.
The vertex of the graph of the function is (4, 1) .
The equation of the axis of symmetry of the graph of the function is x=1 .
(2023.20) Which expression is equivalent to 600 ?
610
106
2425
2524
(2023.21) A line is graphed on a coordinate grid.
Which statement about the line is true?
The equation of the line is x=−4 , and the slope is undefined.
The equation of the line is y=−4 , and the slope is equal to −4 .
The equation of the line is x=−4 , and the slope is equal to −4 .
The equation of the line is y=−4 , and the slope is undefined.
(2023.22) The graph of a linear function, f , is shown.
What is the zero of f ?
-3
3
2
-6
(2023.23) What is the solution to this system of linear equations?
−3x+5y=21
6x−y=−15
(2, 27)
(−2, 3)
(2, 0)
(−3, −3)
(2023.24) Which expressions are equivalent to 12x2−48x+48 ?
Select TWO correct answers.
12(x−2)2
−12(x2+4x+4)
12(x−4)(x−1)
−12(x+2)2
12(x2−4x+4)
(2023.25) 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) ?
y=9(x−3)2+10
y=9(x−1)2+46
y=−9(x−3)2+10
y=−9(x−1)2+46
(2023.26) The table shows the number of customers each hour for an online sale.
Which function best models the data in the table?
f(x)=296−41x
f(x)=337−41x
f(x)=317−38x
f(x)=296−38x
(2023.27) The function w(t)=270(1.029)t can be used to estimate the number of whales in the North Atlantic Ocean at the end of t years. What does 1.029 represent in the function?
The initial number of whales in the North Atlantic Ocean.
The decay factor of the number of whales in the North Atlantic Ocean.
The number of whales in the North Atlantic Ocean at the end of the year.
The growth factor of the number of whales in the North Atlantic Ocean.
(2023.28) A line contains the points (−2, −2) and (4, 2) .
What is the slope of the line?
−32
23
32
−23
(2023.29) What is the solution to the equation 5(2w+4)=4(2w+9) ?
w=25
w=8
w=928
w=5
(2023.30) The two types of tickets sold at a baseball game are standard tickets and discounted tickets. The price of a discounted tickets 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.
If the second equation in the system is y=0.80x , what is the best estimate of the price of a discounted ticket?
$13.95
$14.55
$13.25
$11.15
(2023.31) A sequence is defined by f(1)=27 and f(n)=31f(n−1) for each whole number n , where n>1 . What are the first four terms of the sequence?
27, 9 , 3, 1
27, 81, 243, 729
31, 328, 355, 382
31, 811, 2,1871, 59,0491
(2023.32) The table represents some points on the graph of quadratic function g .
What is the range of g ?
All real numbers less than or equal to 23 .
All real numbers less than or equal to 419 .
All real numbers greater than or equal to 23 .
All real numbers greater than or equal to 419 .
(2023.33) Which expression is equivalent to (2a+5)(3a−2) ?
17a−10
6a2−10
6a2+11a−10
6a2+19a+10
(2023.34) Printer ink costs $18.99 per cartridge. The company that sells the ink cartridges charges a flat 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.
c=26.94t
c=18.99t+7.95
t=26.49c
t=18.99c+7.95
(2023.35) The expression x6y3÷(yx2) can be written as a product of two exponential terms with base x and y for all values of x and y where the expression is defined. Choose the correct value of the exponent for each term.
Move the correct answer to each box. Each answer may be used more than once. Not all answers will be used.
(a) (b)
x4
y4
(2023.36) This year the number of students who participated in a sport was 317. Each year, the number of students who participate in a sport increases by 4%.
Which function can be used to model the number of students participating in sports after x year.
f(x)=317(4)x
f(x)=4x+317
f(x)=317(1.04)x
f(x)=1.04x+317
(2023.37) The table of ordered pairs represent some points on the graph of two different lines.
Which system of equations represents the graph of these two lines?
x−6y=−90
x−3y+27
x+6y=90
x+3y=−27
6x−y=−15
3x−y=9
6x+y=15
3x+y=−9
(2023.38) The function f(x)=x2 was transformed to create the function g(x)=f(x−3)−9 . What are the coordinates of the vertex of the graph of g ?
Move the correct answer to each box. Not all answers will be used.
( (a) , (b) )
(2023.39) Which expression is equivalent to 24gh−12g2+18g ?
6g(4h−12g+18)
12g(2h−12g+18)
6g(4h−2g+3)
12g(2h−g+3)
(2023.40) 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?
$1.85
$5.38
$2.20
$2.70
(2023.41) Function k is defined as k(x)=x2+32x+248 . What are the solutions to k(x)=0 ?
x=−16+22 and x=−16−22
x=16+22 and x=16−22
x=−32+42 and x=−32−42
x=32+42 and x=32−42
(2023.42) 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?
The y-intercept of the graph is 650.
The y-intercept of the graph is 455.
The graph has a vertical asymptote at x=0 .
The graph has a horizontal asymptote at y=30 .
(2023.43) Graph the following linear equation y=−x+2 .
(2023.44) The graph shows point P and line m .
Which equation best represents the slope-intercept form of the line that passes through point P and is parallel to slope m .
y=23x−5
y=−32x+32
y=23x+5
y=−32x−32
(2023.45) Which equation is equivalent to S=Ph+2B when solved for B ?
B=2S−Ph
B=Ph2S
B=2SPh
B=PhS−2
(2023.46) The domain and range of part of linear function r are given.
x>5
y<2
Which graph could represent this part of linear function r ?
(2023.47) A function is shown.
g(x)=6(2x+7)
What is the value of g(20) ?
167
282
324
247
(2023.48) The graph of a linear function is shown on a grid.
What are the x-intercept and the y-intercept of the line?
x-intercept: (8, 0)
y-intercept: (0, −2)
x-intercept: (−2, 0)
y-intercept: (0, 4)
x-intercept: (−2, 0)
y-intercept: (0, 8)
x-intercept: (4, 0)
y-intercept: (0, 8)
(2023.49) The graph of a quadratic function is shown.
Which values best represent the zeroes of the function?
Select TWO correct answers.
x=−1
x=1
x=−3
x=3
x=0
(2023.50) 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?
14 in. per step
71 in. per step
7 in. per step
141 in. per step
(2022.1) The graph of quadratic function r is shown on the grid.
Which answer choice best represents the intercepts of the graph of r ?
x-intercept: (5, 0)
y-intercepts: (0, 10) and (0, -2)
x-intercepts: (0, -10) and (0, 2)
y-intercept: (-5, 0)
x-intercept: (0, 5)
y-intercepts: (10, 0) and (-2, 0)
x-intercepts: (-10, 0) and (2, 0)
y-intercept: (0, -5)
(2022.2) A worker is packing items in boxes. The table shows the linear relationship between the number of items the worker has packed in boxes after different amounts of time.
Which statement describes the rate of change of the number of items the worker packed in boxes with respect to the number of minutes the worker has been packing items in boxes?
The worker packed 8 items in boxes per minute.
The worker packed 37 items in boxes per minute.
The worker packed 4 items in boxes per minute.
The worker packed 15 items in boxes per minute.
(2022.3) A system of equations is graphed on the grid.
Which system of equations is best represented by the graph?
y=52x−8
y=−53x−3
y=52x−3
y=−53x−8
y=25x−8
y=−35x−3
y=25x−3
y=−35x−8
(2022.4) Which graph represents y as a function of x ?
(2022.5) What is the solution to this system of equations?
2x+y=40
x−2y=−20
(12, 16)
(15, 17.5)
There is no solution.
There are an infinite number of solutions.
(2022.6) Which graph best represents a quadratic function with a range of all real numbers greater than or equal to 3?
(2022.7) The value of y is directly proportional to the value of x . When x=512 , y=128 .
What is the value of y when x=64
256
32
16
8
(2022.8) A customer is buying bath towels and hand towels and can spend no more than $100. Each bath towel costs $8, and each hand towel costs $5. The inequality 8x+5y≤100 represents all possible combinations of x , the number of bath towels, and y , the number of hand towels the customer can buy.
Which graph best represents the solution set for this inequality?
(2022.9) An exponential function is graphed on the grid.
Which function is best represented by the grid?
p(x)=(0.25)x
p(x)=2(0.5)x
p(x)=(1.25)x
p(x)=(25)x
Which expression is equivalent to (n−4)(2n+7) ?
3n+3
n−28
2n2−15n−28
2n2−n−28
(2022.11) Which situation shows causation?
When the number of people in a bus increases, the number of animals in the zoo also increases.
When the number of hours worked each week by an hourly employee decreases, the amount of money earned by the employee also decreases.
When the amount of a discount for a sale increases, the number of items sold for the sale decreases.
When the number of bike trails in a city decreases, the amount of rainfall in the city increases.
(2022.12) A system of linear equations is represented by line h and line j. A table is representing some points on line h and the graph of line j are shown.
Which system of equations is best represented by lines h and j?
y=34x−5
y=54x+1
y=43x−5
y=45x+1
y=−34x−5
y=−54x+1
y=−43x−5
y=−45x+1
(2022.13) Which answer choice describes how the graph of f(x)=x2 was transformed to create the graph of n(x)=x2−1 ?
A vertical shift up.
A horizontal shift to the left.
A vertical shift down.
A horizontal shift to the right.
(2022.14) The expression d2−d−6 can be written in factored form as (d+2)(d+k) , where k represents a number. What is the value of k?
Record your answer in the numeric box.
(2022.15) The graph of a linear function is shown on the grid.
Which equation is best represented by this graph?
y=−47x+4
y=−47x+7
y=−74x+4
y=−74x+7
(2022.16) Which expression is equivalent to c2c8(d6)3 ?
c4d9
c4d18
c6d9
c6d18
(2022.17) Which value of x is the solution to this equation?
5x2=30x−45
x=3
x=−3
x=5
x=−5
(2022.18) A florist is making bouquets of flowers for a wedding. Each bouquet will have 9 flowers. The graph shows the linear relationship between y , the number of flowers used, and x , the number of bouquets.
The florist will use no more than 8 bouquets for the wedding. Which set best represents the domain of the function for this situation?
{0, 2, 4, 6, 8, 10}
{0, 1, 2, 3, 4, 5, 6, 7, 8}
{0, 18, 36, 54, 72, 90}
{0, 9, 18, 27, 36, 45, 54, 63, 72}
(2022.19) The graph of a line is show on the grid. The coordinates of both points indicated on the graph of the line are integers.
What is the rate of change of y with respect to x for this line? graph missing. answer = -5/6
25
−56
32
−65
(2022.20) What is the value of the y-intercept of the graph of h(x)=12.3(4.9)x ?
Record your answers in the boxes below.
(2022.21) Which expression is equivalent to 2.2⋅10−38.8⋅109 ?
4⋅1012
4⋅106
4⋅10−3
4⋅10−6
(2022.22) A person dives into a pool from its edge to swim to the other side. The table shows the depth in feet of the person from the surface of the water after x second. The data can be modeled by a quadratic function.
Which function best models the data?
d(x)=0.05x2+0.74x
d(x)=0.05x2+0.74x+9.17
d(x)=0.26x2−3.11x
d(x)=0.26x2−3.11x+1
(2022.23) Which expression is equivalent to (5rt−3rw−8tw)+(6rt−4rw+2tw) ?
11rt+rw−10tw
11rt−7rw−6tw
11rt+rw−6tw
11rt−7rw−10tw
(2022.24) The solutions to p(x)=0 are x=−7 and x=7 ? Which quadratic function could represent p ?
p(x)=x2−49
p(x)=x2+49
p(x)=x2−14
p(x)=x2+14
(2022.25) Two points are plotted on the grid.
Which equation in slope-intercept form best represents the line that passes through these two points?
y=−32x−311
y=−311x−32
y=−32x−310
y=−310x−32
(2022.26) The table shows the value in dollars of a motorcycle at the end of x years.
Which exponential function models this situation?
v(x)=9000(1.1)x
v(x)=9000(0.9)x
v(x)=8100(1.1)x
v(x)=8100(0.9)x
(2022.27) What is the positive solution to x2+9x−22=0 ?
Record your answer in the boxes below.
