Inequalities Review

Decimals

100

19.5 <= 2.5(7.5x - 9.5) round to the nearest tenths place.

X>=2.3

200

- 2(3n + 9) >= 30.5 round to the nearest tenths place.

8.1

300

7(9c + 6) <= 20.5 +9.5c round to the nearest tenth place.

c≤−0.40

400

2(2.5 +8.5a) >= -28.5 round to the nearest tenth place.

a≥−2

500

- 5.5 + 3.5(1 - 9.5x) <= 25.5 round to the nearest tenth place.

x≥−0.8

Word Problems

100

Vera is saving up to buy a laptop. She needs at least $426. She already has $75 saved from her birthday. If she works part time at a grocery store make $9 and hour, how many hours must she work to purchase the laptop?

X>=39 or 39<=x

200

The number of DVDs Danielle owns is four times the number that Ben owns. If Danielle owns at least 92 DVDs, how many does Ben own?

x>=23 or 23<=x

300

Marcus completed 5 fewer passes this season than Sean. If Marcus completed at least 122 passes, how many did Sean complete?

x<=127 or 127>=x

400

Caroline bought movie tickets for three children and a bucket of popcom for $9.50. If she spent a total of $35.75, how much was each movie ticket?

x<=8.75 or 8.75>=x

500

15% of half a number plus 12 is at minimum 15

x>=40

Random

100

What is the square root of 4096²

4096

200

21x³/7x⁴

3/x

300

15n⁷(12n³)²

2160n¹³

400

33% of 11

3.63

500

What is the mean of these numbers: 15, 33, 32, 55, 21, 69, and 12. Round to the nearest whole number. Round to the nearest whole number.

34

1, 2, and Multi

100

-8>x-6-3x

x>1 or 1<x

200

3(b - 5) < - 2b

b<3 or 3>b

300

3(p - 1) < 3p + 2

No solution

400

-40-4m<3(5-5m)

m<5 or 5>m

500

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

x>=25 or 25<=x

Fractions

100

1/5+x<=-3/10

x≤−1/2

200

1/6-x/7<12/3 leave a an improper fraction.

x>−161/6

300

2x - 3/4 + 9 > 3+ 4x/3 leave as an improper fraction.

x>−63/8

400

-5x/2+5/2>=5/2

x≤0

500

3(2x-3) -4(4x)/12>=-6

x≥9/14