Answers TN-Algebra IWriting and Graphing Equations in Two Variables

Writing and Graphing Equations in Two Variables — Unit test Answers

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Diep buys a loaf of bread 65 centimeters long. For lunch every afternoon, he cuts 15 centimeters of bread for his sandwich. Diep wants to determine the length of the loaf of bread, l, after d days. What is the equation of the scenario? Is the graph of the equation continuous or discrete?

l = 65 – 15d; discrete

l = 65 – 15d; continuous

65 = l – 15d; discrete

65 = l – 15d; continuous

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A store sells notebooks for $3 each and does not charge sales tax. If x represents the number of notebooks Adele buys and y represents the total cost of the notebooks she buys, which best describes the values of x and y?

The value of x can be any real number, and y will be a real number.

The value of x can be any real number greater than or equal to 0, and y will be a real number greater than or equal to 0.

The value of x can be any integer, and y will be an integer.

The value of x can be any integer greater than or equal to 0, and y will be an integer greater than or equal to 0.

What is the simplified expression for ?

a squared minus 9 a b + 3 a b squared

a squared + 9 a b minus b squared + 3 a b squared

10 a b + a squared minus b squared

3 a b squared + a squared minus b squared minus a b

What is the value of s in the equation , when ?

100

200

Hassan writes an algebraic expression with four terms. The x-term has a coefficient of 2, and the z-term has a coefficient of -1. The expression has a constant term less than zero. Which expression could he have written?

2 x + z + 5 minus 6 z squared

2 x minus z minus 5 + 2 z squared

Negative 2 x minus z minus 5 + 2 z squared

Negative 2 x + z minus 5 + 2 z squared

The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. The amount collected can be modeled by the equation , where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total?

130

150

Which graph shows the equation c = 10+ 3t, where c is the total cost of going to the carnival and t is the number of $3 tickets purchased?

On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). A straight line with a positive slope begins at point (0, 10) and ends at point (6, 27).

On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 10), (1, 14), (2, 16), (3, 19), (4, 22), (5, 25), (6, 28).

On a coordinate plane, the x-axis shows number of tickets sold (t) and the y-axis shows total cost of going to carnival (c). Solid circles are at points (0, 3), (1, 13), (2, 24), (3, 34), (4, 43), (5, 54).

The yearbook club has 5 members returning from last year. They set up a booth in the cafeteria to recruit more members, and an average of 3 new members sign up each day. Which best describes why the graph relating the total number of members on the yearbook club, m, and the number of days the booth is set up, d, will be continuous or discrete?

The graph will be continuous because an end day for the booth being set up is not given in the description.

The graph will be continuous because there can be any number of people signing up each day since we are only given the average.

The graph will be discrete because some day the number of available people to sign up for the club will run out.

The graph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups.

The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle?

7 in.

8 in.

9 in.

10 in.

What is the simplified expression for ?

8 x + y

y minus 4 x

7 y minus 4 x

Negative 4 x minus y

Fiona is serving iced tea and lemonade at a picnic. She has only 44 glasses in which to serve the drinks. If x represents the number of glasses of iced tea and y represents the number of glasses of lemonade, which equation represents the number of glasses of ice tea she can serve?

x minus y equals 44

44 plus y equals x

y minus x equals 44

x equals 44 minus y

What is the value of when ?

-32

-16

On a coordinate plane, a straight line with a positive slope begins at point (0, 50) and ends at point (5.5, 600).

the total amount of money in the cash register, y, containing $50 in change and small bills and x $100 bills

the total number of puzzle pieces, y, in a brand new 50-piece puzzle, and x brand-new 100-piece puzzles

the total weight of the barbell, y, where the bar weighs 50 pounds and x 100-pound weights are added to it

the total number of calories, y, in a salad with vegetables containing 50 calories topped with x ounces of salad dressing at 100 calories per ounce

How many terms are in the algebraic expression ?

Hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. Let x represent the number of pairs of socks purchased, and let y represent the number of blouses purchased. Which equation models the purchases she made with $43.92?

x + y = 15.98

x + y = 43.92

43.92x - 2.99y = 12.99

2.99x + 12.99y = 43.92

What is the value of when ?

Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which equation relates the total amount of gasoline in the tank, y, to the number of gallons that she put in the tank, x?

y=4+x

y = x − 4

y = 4 · x

y = x ÷ 4

Which is the constant term of the algebraic expression ?