Unit 1 - Integrated

Linear Equations

100

Solve:

3(2x-1) = 21

x=4

200

The sum of 3 consecutive odd integers is 93. What are the three numbers?

29, 31, 33

300

Jackie buys 4 pounds of hot dogs and 2 pounds of brats. She pays a total of $40, and the hot dogs cost $2 less per pound than the brats. What would the combined cost of 1 pound of hot dogs and 1 pound of brats be?

$14

400

Solve 4x -1(2x - 1) = 9

x=4

Equations w/variables on each side

100

Solve:

5x - 48 = -3x + 8

x=7

200

How many solutions does this equation have?

21 - 4x = 4x + 21

Infinitely Many

300

Solve y= ax - b for b

b=ax/y

400

Write the formula for the volume of a cone V=1/3pier^2h in terms of h.

h=3V/pier^2

Inequality

100

Solve the inequality:

2(x + 3) - 4 > 2x+ 1

All real numbers

200

Graph the solution of the inequality:

3x - 8 > 4(x - 1.5)

x < -2

300

Solve the compound inequality:

2x - 3 > 5 or 3x - 1 < 8

x > 4 or x < 3

400

The area of a rectangle is described with the ineqaulity 50<A<100

Write and solve a compound inequality for X. 

Length: 5      Width: 2x

5<x<10

Absolute Value

100

6 - l x l = 3

x= + or - 3

200

Isabel is buying 6 angelfish, and she wants her total cost to be no more that $2 above or below $36. Which inequality models the cost of x, in dollars, of the angelfish?

a. l36 + 6xl <= 2

b. l6x +2l <= 36

c. l6x-2l <= 36

l36 - 6xl <= 2

D

300

Solve and graph

2 + lx+3l > 3

x > -2       x<-4