Week 3 Practice (2C, 2I, 3B, 3C, 3D, 5C)

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Measures 3 skills from
High School
Mathematics
Texas Essential Knowledge and Skills (TEKS)

A.3.B: Rate Of Change

A.3.C: Graph Linear Functions

A.2.C: Linear Equations (2)

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Q 1/23
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A customer pays an annual membership fee of $85 to a neighborhood car wash. Each time he takes his car to the car wash, he pays only $7. The total amount of money he spends at the car wash in one year in dollars can be found using the function y = 7x + 85. What does the variable x represent in this function?
29
The cost each time the customer takes his car to the car wash.
The number of times the customer takes his car to the car wash in one year.
The total amount of money the customer spends each month at the car wash.
The number of months the customer has been a member at the car wash.

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23 questions

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Q1
A customer pays an annual membership fee of $85 to a neighborhood car wash. Each time he takes his car to the car wash, he pays only $7. The total amount of money he spends at the car wash in one year in dollars can be found using the function y = 7x + 85. What does the variable x represent in this function?
The cost each time the customer takes his car to the car wash.
The number of times the customer takes his car to the car wash in one year.
The total amount of money the customer spends each month at the car wash.
The number of months the customer has been a member at the car wash.
30s
A.3.B: Rate Of Change
Q2
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?
$0.50 per deposit
$50 per deposit
$2 per deposit
$100 per deposit
30s
A.3.B: Rate Of Change
Q3
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?
- $\frac{9}{2}$
$\frac{9}{2}$
$\frac{2}{9}$
- $\frac{2}{9}$
30s
A.3.B: Rate Of Change
Q4
The graph shows how the volume of a gas sample changes as the temperature changes and the pressure remains constant. Which of these best represents the rate of change in the volume of the gas sample with respect to the temperature?
22 mL / $\degree C$
$\frac{7}{100}$ mL / $\degree C$
$\frac{1}{12}$ mL / $\degree C$
12 mL / $\degree C$
30s
A.3.B: Rate Of Change
Q5
The graph models the linear relationship between the temperature of Earth’s atmosphere and the altitude above sea level. Which of these best represents the rate of change of the temperature with respect to altitude?
-6.5°C/km
-3.5°C/km
-0.15°C/km
-0.29°C/km
30s
A.3.B: Rate Of Change
Q6
The function y = 3.75 + 1.5(x - 1) can be used to determine the cost in dollars for a taxi ride of x miles. What is the rate of change of the cost in dollars with respect to the number of miles?
$5.25 per mile
$3.75 per mile
$1.50 per mile
$4.25 per mile
30s
A.3.B: Rate Of Change
Q7
The graph shows the linear relationship between the maximum area in square feet that can be painted and the number of gallons of paint used. Which of these best represents the rate of change of the maximum area painted with respect to the number of gallons of paint used?
$\frac{1}{200} ft^2 /gal$
$200ft^2/gal$
$\frac{1}{400}ft^2/gal$
$400 ft^2 /gal$
30s
A.3.B: Rate Of Change
Q8
The table shows the linear relationship between the balance of a student's savings account and the number of weeks he has been saving. Based on the table, what was the rate of change of the balance of the student's savings account in dollars and cents per week? Record your answer and fill in the bubbles on your answer document.
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30s
A.3.B: Rate Of Change
Q9
What is the y-intercept of the line graphed on the grid?
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30s
A.3.C: Graph Linear Functions
Q10
Which graph represents -3x + 5y = - 15?
30s
A.3.C: Graph Linear Functions
Q11
Which graph shows a line with an x-intercept of -5?
30s
A.3.C: Graph Linear Functions
Q12
A lifeguard earns $320 per week for working 40 hours plus $12 per hour worked over 40 hours. A lifeguard can work a maximum of 60 hours per week. Which graph best represents the lifeguard’s weekly earnings in dollars for working h hours over 40?
30s
A.3.C: Graph Linear Functions
Q13
The graph of a function is shown on the grid. Which ordered pair best represents the location of the y-intercept?
(0, -2)
( $\frac{1}{3}$ ,0)
(-2, 0)
(0, $\frac{1}{3}$ )
30s
A.3.C: Graph Linear Functions
Q14
The graph of linear function g is shown on the grid. What is the zero of g?
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30s
A.3.C: Graph Linear Functions
Q15
The water level of a river was measured each day during a two-week period. The graph models the linear relationship between the water level of the river in feet and the number of days the water level was measured. Which statement best describes the y-intercept of the graph?
The maximum water level was 19.5 ft
The water level was measured for 14 days.
The initial water level was 16 ft.
The water level increased by 0.25 ft per day.
30s
A.3.C: Graph Linear Functions