Algebra- Solving Inequalities Unit test Part 1

q+1/3>1/2

q>1/6

3x+10≥4

x≥-2

3y-4<-19 or 3y+5>11

y<-5 or y>2

y-1/3>1/8

y>11/24

y+7≤5

y≤-2

(3y-6)/3 +4≤-2 or (4y-8)/2 -1≥5

y≤-4 or y≥5

-5y≤-15

y≥3 closed dot

z-6≤-14

z≤-8

-z/3≤6

z≥-18

z/5≥-4

z≥-20

If N is the set of natural numbers that are factors of 20, choose the selection below that correctly shows this set in roster form.

{1,2,4,5,10,20}

Suppose U = {1,2,3,4,5,6,7,8,9,10} is the universal set, and P = {2,4,6,8,10} What is P'?

{1,3,5,7,9}

suppose R={1,3,5,7,9,11,13,15,17} and D={3,6,9,12,15,18,21,24,27}. What is R∩D?

{3,9,15}

A cafeteria has two soda machines. One machine has the following flavors:cola, root beer, and lime. The second machine has lemon, orange, cola, and cherry. Which set represents all flavors in the two machines?

{cola, rootbeer, lime, lemon, orange, cherry}

What are all the subsets? {-8,4}

Ø, {-8}, {4}, {-8,4}

6>z(10-z)

0

Your class hopes to collect at least 325 cans of food for the annual food drive. There were 135 cans donated the first week and 89 more the second week. Write an inequality that describes this situation. Let c represent the number of cans of food that must be collected by the end of the third week for your class to meet or surpass its goal.

135+89+c≤325 c≤325-135-89 c≤101 101 cans are needed to meet the goal

x+4<7

2

Start from 110 feet away, a person on a bicycle rides towards a checkpoint then passes it. The rider is traveling at a constant rate of 30 feet per second. The distance between the bicycle and the checkpoint is given by the equation d=[110-30t]. At what times is the bike 40 feet away from the checkpoint?

2.3 sec and 5 sec

Of 375 musicians at a high school, some play only in the jazz band, some, play only for the marching band, and some play for both. If 250 of them play in the jazz band, and 130 play in both, how many of the musicians are in the marching band?

255

The french club is sponsoring a bake sale, If its goal is to raise at least $140, how many pastries must it sell at $3.50 each to meet that goal?

3.50p≥140; p≥40

g>6.4

7

Jackie scored 82 and 88 on her first two quizzes. Write and solve possible values for a third quiz score that would give her an average between 80 and 85, inclusive.

80≤ 82+88+n/3 ≤85;70≤n≤85