Lesson – Equations & Inequalities, Day 11 and 12

Solve the inequality: 3x + 2 ≤ 11. Write your answer in the form x ≤ ___.

• x ≤ 3

• x ≤ 2

• x ≤ 5

• x ≤ 1

Important: When __________________ or __________________ by a negative number on ____________ sides of the inequality symbol, ____________________ the inequality symbol in order to keep the inequality true.

• multiplying, dividing, both, reverse

• adding, subtracting, both, keep

• multiplying, dividing, same, keep

• adding, subtracting, both, reverse

Solve the inequality: –4y + 2 < 18. Write your answer in the form y > ___.

• y > -4

• y > 4

• y > -5

• y > 5

Solve the inequality: Write your answer in the form x = ___.

• x = -48

• x = 48

• x = 12

• x = -12

Solve the inequality: 20 – 4x ≤ 70. Write your answer in the form x ≥ ___.

• x ≥ -12.5

• x ≥ 12.5

• x ≥ -10

• x ≥ 10

Write an equation the following real-world situations. Pam has crates that weigh 50 pounds each, plus a box that weighs 45.5 pounds. Sam has crates that weigh 40 pounds each, plus one box that weighs 125.5 pounds. How many crates, x, would it take for Pam and Sam to have the same weight of crates and boxes?

Mathematical Equivalence

ON

Determine the solutions to the following real-world situations. Pam has crates that weigh 50 pounds each, plus a box that weighs 45.5 pounds. Sam has crates that weigh 40 pounds each, plus one box that weighs 125.5 pounds. How many crates, x, would it take for Pam and Sam to have the same weight of crates and boxes?

• x = 8

• x = 6

• x = 10

• x = 12

Kami can make 15 bracelets per hour. Tori can make 12 bracelets per hour and already has 15 bracelets made. Write an inequality to determine how many hours, h, it would take for Kami to have more bracelets made than Tori.

Mathematical Equivalence

ON

The dimensions of two rectangles are shown in units. If the perimeter of the first rectangle is equal to the perimeter of the second rectangle, what is the value of x?

Answer explanation

We are talking about the perimeter when dealing with the problem.

Remember that perimeter is the distance around a shape.

With that being said if one side of the rectangle is 2x+0.25 that means the opposite side will be 2x+0.25.

Which leads us to 4x+0.5 for part of the equation, because we double each side.

The dimensions of two rectangles are shown in units. If the perimeter of the first rectangle is equal to the perimeter of the second rectangle, what is the value of x?

• x = 6.25

• x = 14.25

• x = 8

• x = 10