Sentences
Solve it.
Always, sometimes, never?
Solve it.
Applications
100

Five less than a number is at least -28.

x - 5 ≥ -28

100

3(x + 1) + 2 < 11

x < 2

100

3(2x + 1) > 5x - (2 - x)

always true

100

5a - 10 > 5

a > 3

100

The length of a rectangular yard is 30 meters. The perimeter is at most 90 meters. Describe the width of the yard.

at most 15m.

200

The product of a number and four is at most -10.

4x ≤ -10

200

5t - 2(t +2) ≥ 8

t ≥ 4

200

2(x - 1) ≥ x + 7

sometimes true

200

25 - 2y ≥ 33

y ≤ -4

200

A piece of rope 20 feet long is cut from a longer piece that is at least 32 feet long. The remainder is cut into four pieces of equal length. Describe the length of each of the four pieces.

at least 3 ft.

300

Six more than a quotient of a number and three is greater than 14.

x/3 + 6 > 14

300

2[(2y - 1) + y] ≤ 5(y + 3)

y ≤ 17

300

7x + 2 ≤ 2(2x - 4) + 3x

never true
300

-2(n + 2) + 6 ≤ 16

n ≥ -7

300

A school principal estimates that no more than 6% of this year’s senior class will graduate with honors. If 350 students graduate this year, how many will graduate with honors?

no more than 21 students.

400

A number increased by 7 is less than 5.

x + 7 < 5

400

5 - 2(n+2) ≤ 4 + n

n ≥ -1

400

5(x - 3) < 2(x - 9)

sometimes true

400

2(7a + 1) > 2a - 10

a > -1

400

Two sisters drove 144 miles on a camping trip. They averaged at least 32 miles per gallon on the trip. Describe the number of gallons of gas they used.

at most 4.5 gal.

500

Twice a number is at least 15.

2x ≥ 15


500

1/3(7a - 1) ≤ 2a + 7 

a ≤ 22

500

2(3x + 3) > 2(3x + 1)

always true

500

-17 - 2r < 3(r + 1)

r > -4

500

Your homework for the weekend is Pg. 38, 11-25 odd.

Just kidding. : ) Have a nice weekend.