Model and Solve Equations

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

• 10x + 1.50 ≥ 40

• 1.50x + 10 ≤ 40

• 1.50x + 10 <40

• 10x + 1.50 < 40

-3y + 2 > 11

• y < -3

• y > -3

• y < 3

• y > 3

Write the equation for the model. (white square=1 rectangle=x red square = -1)

• 7=x+3

• 7=x+(-3)

• 7=-x+3

• -7=x-3

What is the solution to this inequality?

• x > −18

• x > 9

• x > 21

• x > −42

If x=14, which equation is true?

• 3(20-x)=44

• 3(12-x)=6

• 2(x-3)=22

• 2x-3=22

Solve the equation.

• x=-5

• x=-1

• x=-15

• x=-3

Write the equation for the model.

• 2x + 7 = -3x + 2

• 2x - 2 = 3x - 7

• 2x + 2 = -3x + 7

Write the equation for the model.

• 2x - 2 = -x - 8

• -x - 2x = 2x - 8x

• -x - 2 = 2x - 8

Solve the equation.

• x=-5

• x=-17

• x=5

• x=17

• -x - 4 = 2x + 2

• -x - 2 = 2x - 4

• -x + 2 = 2x - 4