Solving (1)
Solving (2)
Modelling
Inequalities
100

Solve.

x/4=3

x=12

100

Solve.

16-x=9

x=7

100

The sum of 3 consecutive integers is 75. Find the integers.

24,25,26

100

Solve then graph on a number line.

x-17le3

x le 20

200

Solve.

12x-5-3x=22

x=3

200

Solve.

2(3t + 5) – 4(2t – 1) = 6

t=4

200

Molly is 7 years older than triple Will's age. The sum of their ages is 67. How old is each person?

Molly is 52 and Will is 15.

200

Solve then graph on a number line.

7-xgt5


xlt2

300

Solve.

2(3t + 5) – 4(2t – 1) = 6

t=4

300

Solve.

4y-11=8y-3

y=-2

300

Three angles are complementary (they add up to 90 degrees). The first angle is 3 times the smallest angle. The middle angle is 15 degrees more than the smallest angle. Find the measures of the three angles. 

The first angle is 45 degrees, the middle angle is 30 degrees, and the smallest angle is 15 degrees. 

300

Solve then graph on a number line.

3d lt18

d lt 6

400

Solve.

2/3(x-4)=4

x=10

400

Solve.

2(3m-4)=-4(m+6)

m=-8/5

400

Four friends completed a project together, and their work hours are described below:

  • Alex worked 5 hours more than Taylor.

  • Jordan worked 2 times the amount of Taylor.

  • Casey worked 3 hours less than Alex.

  • All together, they worked 72 hours.

Find the number of hours each person worked.


Taylor: 13 hours

Alex: 18 hours

Jordan: 26 hours

Casey: 15 hours

400

Solve then graph on a number line.

21 ge 6+3b

5 ge b

500

Solve.

(h+2)/3=(3h-2)/5

h=4

500

Solve.

3(2x-1)=2(4x-5)

x=7/2

500

BRDHS is renting a hall for Semi Formal. The cost for the hall is $120 per hour plus $4 per person.

a. Write an equation to determine the cost of the hall.

b. How many people can attend if they have a budget of $1200 and plan to rent the hall from 5-11pm?

a. C=120h+4p

b. 120 people

500

Solve then graph your solutions on a number line.

8-2x le14

x ge -7

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