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I can solve equations and inequalities
Consecutive numbers
100

All number sets to whom I belong.

-root  3

Real, irrational

100

Solve:

|x| = 4

x = 4 and -4
100

Darren wins a coupon for $4 off the lunch special for each of 5 days. He pays $75 for his 5 lunch specials. Write and solve an equation to find the original price p for one lunch special.

$19

100

Solve the equation for the indicated variable:

2y + k = 6y - ky;y

y=k/(4-k)

100
The sum of three consecutive integers is 186.  What are the integers?

61, 62, 63

200

All numbers sets to whom I belong:

-4 3/8  

Real, rational

200

Solve, then draw and be able to describe the graph:

|x|+1<=3

-2<=x<=2

The graph on a number line resembles a "dumbbell," with a shaded circle on -2 and 2 with a line segment between these points, indicating the solutions are greater than or equal to -2 and less than or equal to 2.

200

Renaldo rushes to catch the bus at 4:00 p.m. to ride 3.2 miles from his house to the dentist’s office. He arrives at 4:30 p.m., for a one-hour appointment. Then he rides a bus traveling at the same rate of speed for 4.8 miles to the soccer field. How early did he arrive for his 6:30 p.m. soccer practice?

15 minutes

200

Solve:

0.2(5x-5)=29

x=30

200

The sum of three consecutive odd numbers is 69.   What is the third number in this sequence?

25

300

All number sets to whom I belong:

3

Real, rational, integer, whole

300

Solve:

|x-4|=-3

No solution

300

To put a narrow border around a square photo, Alicia has

4root  15

 inches of trim. The area of the photo is 60 square inches. How much trim is she short to complete the square border?

4root  15

300

Solve:

9/8 y-14=-5

y=8

300

The sum of six consecutive odd numbers is 204.  What is the fourth number in this sequence?

35

400

All number sets to whom I belong:

root  (24/54)+root  (169)

Real, rational

400

Solve, then draw and be able to describe the graph:

|x-2|>3

x>5 or x<-1

The graph on a number line resembles an open circle on 5 and -1 with arrows going in opposite directions indicating the solutions are less than -1 or greater than 5.

400

The area of your square bedroom is 50 sq ft.  The area of your sister's square bedroom is 16 sq ft.  Your bedrooms are next to each other and face the street.  You want to hang Christmas lights across both bedrooms facing the street.  Write an expression in simplest radical form to represent the length of Christmas lights you need.

4+5root  (2)

400

Solve:

3/10 x-2/5=2

x = 8

400
The sum of five consecutive even numbers is 100.  What is the first number in this sequence?

16

500

All number sets to whom I belong:

3/8+root  (27/64)

Real, Irrational

500

Solve:

5|3-9x|=20

x = -1/9 or x = 7/9

500

Devin volunteers to bring 80 bottles of water to a swim meet. He has 10 bottles of water in his refrigerator he plans to bring. How many 24-bottle cases does he need to buy to have enough water bottles for the swim meet?

3

500

Solve.  Round your answer to the nearest tenth.

-2/3(1-12x)-14x>60

x=10.1

500

The sum of four consecutive integers is 326.  What is the second number in this sequence?

81