DNA of Numbers
All number sets to whom I belong.
-root 3
Real, irrational
Solve:
|x| = 4
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
Solve the equation for the indicated variable:
2y + k = 6y - ky;y
y=k/(4-k)
61, 62, 63
All numbers sets to whom I belong:
-4 3/8
Real, rational
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.
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
Solve:
0.2(5x-5)=29
x=30
The sum of three consecutive odd numbers is 69. What is the third number in this sequence?
25
All number sets to whom I belong:
3
Real, rational, integer, whole
Solve:
|x-4|=-3
No solution
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
Solve:
9/8 y-14=-5
y=8
The sum of six consecutive odd numbers is 204. What is the fourth number in this sequence?
35
All number sets to whom I belong:
root (24/54)+root (169)
Real, rational
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.
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)
Solve:
3/10 x-2/5=2
x = 8
16
All number sets to whom I belong:
3/8+root (27/64)
Real, Irrational
Solve:
5|3-9x|=20
x = -1/9 or x = 7/9
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
Solve. Round your answer to the nearest tenth.
-2/3(1-12x)-14x>60
x=10.1
The sum of four consecutive integers is 326. What is the second number in this sequence?
81