Illustrative Mathematics Algebra

The vertical intercept shows.....

• the maximum height that the graph reaches.

• the time that the graph reaches ground level.

• the height that the object started at.

• the minimum height that the graph reaches.

Select all the options that are true.

• f(7) = f(20)

• The vertical intercept represents the height at which the object started.

• There are multiple relative maximums.

• The minimum of the graph is 10 meters

• f(9) < f(1)

Tyler is filling a bathtub with water. Function B gives the depth of the water, in inches, t minutes after he begins filling the tub. Explain the meaning of B(9) = 11.

• The temperature of the water is 11 after 9 minutes.

• The tub has 9 inches of water after 11 minutes.

• The tub has 11 inches of water after 9 minutes.

Determine the average rate of change between the points (4, 9) and (7, 5).

• 1.3

• -1.3

• 0.75

• -0.75

Gerardo wrote an integer. The opposite of Gerardo's integer is -53. The two true statements are:

​ (a)   and ​ (b)  

• The integer is 53.

• The integer has an absolute value of 53.

• The integer has an absolute value of -53.

• The integer is -53.

Tags

6.2.B

​ ​ (a)   a number finds the product of that number and itself.

• Squaring

• Square Rooting

A company sold a total of 150 adult and child tickets to a fundraiser. The company charged $10 for each adult ticket and $6 for each child ticket for $350.

Write an equation to represent the total amount of tickets.

Mathematical Equivalence

ON

Determine the rate of change and interpret what the rate of change means in context of the table.

• 2

• 0.5

• Balloons cost $2 each

• 2 balloons cost $1

• Balloons are $0.50 each

Function M shows Mary's age, function J shows John's age. Select the option that is NOT true.

• m(2) < j(2)

• m(5) = j(5)

• j(1) < j(6)

• m(9) > m(7)

The graph shows the height of a rocket and of a drone as a function of time. Select all true statements.

• The drone is decreasing in height over the interval of 5 seconds to 7 seconds.

• The rocket reaches a max height of 45 feet at 2 seconds.

• r(3) < d(3)

• d(2) > d(6)

• The rocket and drone are at the same height at approximately 4.5 seconds.