Illustrative Math Algebra

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

• 2

• 6

• -6

• 7.5

Solve:
7x + 19 = -2x + 55

• 4

• 14.8

• 8.2

• -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

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 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

Solve. 5h+2-h=22

• -5

• 6h

• 6

• 5

In the equation 5d - 1= 2d - 7, we need to get the variable to one side of the equal sign. What would we do to move the variable to the left side?

• -2 from both sides of the equal sign

• -5d from both sides of the equal sign

• -2d from both sides of the equal sign

• + 7 on both sides of the equal sign