6.10ab Inequalities

Which of these equations are true when the value of y is 27?

I. -9 + y = 18

II. -18 + y = -45

III. 5y = 135

IV. 2y = 29

• I and III

• I and IV

• II and III

• II and IV

Which inequality is true if n = 81?

• 3n < 84

• n - 29 < 53

• 2n < 162

• n + 5 < 76

Coach Rivas can spend up to $750 on 30 swimsuits for the swim team. The inequality shown can be used to find the maximum amount in dollars she can spend on each swimsuit.

30p ≤ 750

Which inequality represents all possible values of p, the amount of money in dollars Coach Rivas can spend on each swimsuit?

• p ≤ 25

• p ≥ 25

• p ≤ 720

• p ≥ 720

Alejandra has $600 in her checking account. She wants to spend part of this money on a computer. She wants to have at least $250 left in her checking account after buying the computer. The inequality shown can be used to find t, the amount of money in dollars that Alejandra can spend on the computer.

t + 250 ≤ 600

Which inequality represents all possible values of t ?

• t ≥ 350

• t ≤ 850

• t ≤ 350

• t ≥ 850

What value of x makes the equation true?

-90 = -100 + x

• -10

• 10

• -190

• 190

Holly bought a magazine subscription for a year. She paid $27. Holly wanted to find the price, p, of the subscription each month. She created the model shown to help find this price. What was the price of the subscription each month?

• $39.00

• $2.25

• $324.00

• $22.50

Which equation has a solution of k = 6.5?

• -3k = 19.5

• -1 + k = 7.5

• -7k = -45.5

• -2 + k = -8.5

Which model shows two equal expressions when the value of x is 4?

• 
• 
• 
• 

Which inequality is true when x = 4?

• -25x > 100

• -25x ≥ 100

• 25x < 100

• 25x ≤ 100

Which equation has a solution of ⅔ for n ?

• n -1 = ⅓

• 16n = 24

• 15n = 10

• 1 ⅓ + n = 3