Illustrative Math Algebra 2

Solve:
2(2x + 3) = -6(x + 9)

• 2

• 6

• -6

• 7.5

If x is the solution to the equation 3x - 9 = 27, what other equations also have x as the solution?

• x + 3 = 27

• x - 3 = 9

• x - 9 = 18

• -15x + 45 = -135

• 6x - 18 = 54

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to represent this situation.

• y = 2x + 15

• x = 15y + 2

• y = 15x+ 2

Bob's Plumbing charges $25 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

• y = 25x + 40

• y = 40x + 25

• y = 25x

• y = 25x - 40

What is the value of y in the solution to this system of equations? 3x - 5y = 22 y = -5x + 32

Mathematical Equivalence

ON

Graph the solution to the system. The first equation has been plotted for you.

y = -3x-3

y= 4x +4

A holiday meal cost $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs(y), including delivery, for x people?

• y = 12.50 + 30x

• y = 30 + 12.50x

• y = 12.50 + 30

• 12.50x = 30

Eddie's Electric charges $90 per hour plus a $50 traveling fee. Which equation models this scenario?

• y = -50x + 90

• y = 90x + 50

• y = -90 - 50x

• y = 50 - 90x

A man is climbing down from 100 feet high descending 30 feet per minute.

• y = 100 - 30x

• y = 100 + 30x

• y = 100x + 30

• y = 100x - 30

Joe has $150 in his savings account and saves $40 per month. Which equation represents the amount Joe has in his account after x months?

• y = 150 + 40

• y = 40x + 150

• y = 150x + 40