ALG 1 - INEQUALITIES

practice equations

Solve:

7x−5>16

x is greater than 3

Solve":

4−3(x+2)≤−8

x is greater than or equal to 2

Solve:

2(5−x)≥3x+4

x is less than or equal to 6/5

Solve:

−8x+12<−4x−20

x is greater than 8

Solve:

1/3​x+7>2

x is greater than -15

Graph on number line:

x>−4

open dot to the right of -4

Graph on number line:

x≤3

closed dot to the left of 3

Graph on number line:

x<0

open dot to the left of 0

Graph on number line:

x≥6

closed dot to the right of 6

Write the inequality shown by the number line:

With closed circle at −2, open circle at 5, shading between them

-2 is less than or equal to x, 5 is greater than x

Write the inequality shown by the number line:

Closed circle at 4, shading to the right

x is greater than or equal to 4

Write the inequality shown by the number line:

Open circle at −1, shading to the left

x is less than -1

Shade the correct region, is (0,3) a sol:

y>−2x+1

yes

Shade the correct region, is (0,3) a sol:

y≤1/2​x−2

no

Shade the correct region, is (0,3) a sol:

y<3x+4

yes

Graph the inequalities, then decide if (0,3) is a sol for both:

y<x+2

y≥−21​x+1​

no

Graph the inequalities, then decide if (0,3) is a sol for both:

y>2

y≤4​

yes

Graph the inequalities, then decide if (0,3) is a sol for both:

y>−x+2

y<−1/3​x+1​

no

Write inequalities represented in the graph:

state the solid line….then state the dashed line

y is less than or equal to -x+4

y is greater than 1

Write an inequality for this problem:

A pulley can hold no more than 20 lb.
(x)Small boxes = 2 lb
(y)Large boxes = 3 lb
If 5 small boxes were lifted, list all possible numbers of large boxes that could be lifted at the same time.

Don’t write this in the answer box, but keep it on your paper.

2(5)=3y is less than or equal to 20

(x)Oranges cost $3 each
(y)Grapefruits cost $5 each
Sam must sell at least $300.

Write an inequality that represents this situation.

Then give three possible combinations of oranges and grapefruits. Don’t write this in the answer box, but keep it on your paper.

3x+5y is greater than or equal to 300

A square’s side s satisfies:

• s>3

• s^2≤100

List one possible value of s(Don’t write this in the answer box, but keep it on your paper), and describe all possible values.

s is greater to 3, s is less than or equal to 10

A company makes product A and B.

• (x)A costs $5 to make

• (y)B costs $3 to make

• The total cost can’t exceed $2000

• At least 450 units must be made total

A) Write a system of inequalities
B) If 200 units of A are made, what is the maximum number of units of B? —— say “max number of units:”

5x+3y is less than or equal to 2,000

x+y is greater than or equal to 450

max number of units: 333