WorksheetsS24 Alg1 Benchmark - Part 1 AMAZING RACE
Total questions: 13
Worksheet time: 7mins
The table shows the number of bacteria cells in a particular colony over time, t, in days. Which function, f(t), best models the number of bacteria cells over time, t, where 0 ≤ t ≤ 3?
f(t) = 3(27)t
f(t) = 3t + 27
f(t) = 27(3)t
f(t) = 27t + 3
The graph represents the amount of snowfall, s, in inches, over time, t, in hours, on a single day.
Which units are most appropriate for the rate of change in the graph?
days/inch
inches/day
inches/hour
hours/inch
A baseball player learns to hit baseballs after being thrown such that the baseballs go beyond the boundaries of the baseball field, resulting in a home run. Which is least likely to affect the baseball player's ability to hit a home run?
the force of the baseball bat hitting the ball
the number of seats in the baseball stadium
the speed of the baseball after being thrown
the speed of the baseball after being hit
Consider the graph.
Which function is best represented by the graph?
x - 4y = -4
x - 4y = 4
x + 4y = -4
x + 4y = 4
The equation 6x + 2y = 76 represents the total amount of money a family spends at a grocery store when buying x packages of hot dogs and y packages of hot dog buns. Which represents the equation when solved for y?
y = −3x + 38
y = −1/3x + 38
y = 1/3x + 38
y = 3x + 38
A roofer deconstructs the shingle roof of a house by removing the shingles. The table shows the number of shingles left to be removed x hours after beginning deconstruction. What is the average rate of change in the number of shingles from hour 1 to hour 3?
180 shingles per hour
90 shingles per hour
−90 shingles per hour
−180 shingles per hour
Consider the exponential function graphed on the coordinate plane. Based on the graph, which inequality represents the most appropriate domain of the exponential function?
x ≤ −2
x ≥ −2
x ≤ 4
x ≥ 4
A homeowner collects and analyzes data to estimate the total cost, y, in dollars, for x hours of electrical work completed by a licensed electrician.
The linear model y = 21x + 145 can be used to represent the data when x ≥ 0.
Which two best describe the value 145?
change in total cost per hour of electrical work
slope
total cost for electrical work when x = 0
x-intercept
y-intercept
The table displays the length, in inches, of an elastic cord, which stretches as a weight of x ounces is added to the end of the cord, which can be represented by the function f(x) = 1/5 x + 35, when x ≥ 0. How many inches does the elastic cord stretch with each ounce of weight that is added?
0.2 inch
0.5 inch
1 inch
5 inches
Consider the equation. |7x − 30| = −9 What is (are) the solution(s) to the equation?
There are no solutions to the equation.
x = −3 and x = 3
x = −3 only
x = 3 only
The table shows descriptions for two bakeries increasing the number of loaves of bread made every day. Bakery 1: The number of loaves of bread increases by 10% per day. Bakery 2: The number of loaves of bread increases by 10 per day. Which statement is true?
The description for Bakery 1 is best modeled by an exponential function, while the description for Bakery 2 is best modeled by a linear function.
The description for Bakery 1 is best modeled by a linear function, while the description for Bakery 2 is best modeled by an exponential function.
The descriptions for both bakeries are best modeled by linear functions.
The descriptions for both bakeries are best modeled by exponential functions.
A drama club sells tickets to a school play. The school play is performed on Saturday and Sunday, and the club sells student tickets and adult tickets at different prices per ticket. - On Saturday, the club sells 60 student tickets and 140 adult tickets and raises $1,420. - On Sunday, the club sells 72 student tickets and 200 adult tickets and raises $1,960. Which system of equations can be used to determine the price of each student ticket, x, and the price of each adult ticket, y?
60x + 72y = 1420
140x + 200y = 1960
60x + 140y = 1420
72x + 200y = 1960
60x + 72x = 1960
140y + 200y = 1420
60x + 140y = 1960
72x + 200y = 1420
What is the solution to the inequality 12 − 2(3x − 3) > 3(x + 1) − 4x?
x < −3
x < −1/3
x < 1/3
x < 3
