Number Sense and Operations
Answer: (-4) (-5) or -4 x -5 =
20
1 foot(ft) = 12 inches(in)
1 yard(yd) = 3 feet
1 mile(mi) = 5,280 feet
1 mile = 1,760 yards
Hannah walks 875 yards on Monday, on Wednesday, and on Friday. She walks 2,625 yards on Tuesday and again on Thursday. About how many miles has she walked by the end of the day Friday? (round to the tenths place)
4.5 miles
Write an algebraic expression that reflects the statement:
Two times a number plus six
2x + 6
What is the sixth term in the following sequence?
1, 3, 9, 27,...
A. 729
B. 243
C. 81
D. 9
B. 243
What are the coordinates of this point?
(3, -4)
A 15- foot ladder is placed against the side of a building so that it reaches 12 feet up the side of the building. How far away from the building is it?
A. 8 feet
B. 9 feet
C. 10 feet
D. 11 feet
B. 9 feet
What is the formula for the Area of a rectangle?
A=lw
There are 64 students in the school band. There are 16 trumpet players. What fraction of the band are trumpet players? (Remember to simplify)
16/64 to 8/32 to 4/16 to 2/8 to 1/4
The perimeter of Erica's yard is 72 feet. The width is 16 feet. What is the measure of the length of Erica's yard?
20 ft
Roberta bought a printer. After she paid 6% sales tax, the total was $105.97. Which equation could be solved to find the price p of the printer before tax?
a. p + 0.06 = 105.97
b. 0.06p = 105.97
c. p + 0.06p = 105.97
c.
For the function f(x) = 8/x, which value for x results in a value of f(x) that is less than 1?
A. 6
B. 7
C. 8
D. 9
D. 9
What is the solution to the inequality x+5 < 14?
x < 9
Mary bought a cover for her rectangular swimming pool for $76.80. The material for the cover cost $0.15 per square foot. Her pool is 32 feet long. How wide is her swimming pool?
A. 16 feet
B. 24 feet
C. 44.8 feet
D. 51.6 feet
width is 16 feet
What is the formula for the Pythagorean Theorem?
a2 + b2 = c2
5/9 div 2/3
Divide and Simplify.
Note: I would like both the fraction and decimal form.
5/6 and 0.83
Area of a cube = 6s2
Box 1: has a length of 12.5cm
Box 2: the length of of Box 2 is three times the length of Box 1
A painter is preparing work for an exhibit. He intends on painting the packaging boxes above. If one gallon of paint covers 1000cm2 of the box, approximately how many gallons of paint will he need to paint both boxes?
A. 15 gallons
B. 10 gallons
C. 9 gallons
D. 1 gallon
B. 10 gallons
Box 1: 6 (12.5 x 12.5)
6(156.25) = 937.5 cm2
Box 2: 6 (37.5 x 37.5)
6(1406.25) = 8,437.5 cm2
Box 1 (937.5) + Box 2 ( 8,437.5) = 9375cm2
9375/ 1000 = 9.375 rounds to 10 gallons because...The area of a square with sides of length x is x2 .
What is the area of the square if x = 7.8 inches?
60.84 sq in.
Solve the equation for m.
2(m+3) = 5(6-2m)
A. -3
B. 2
C. 6
D. 6.75
B. 2
2m +6 = 30-10m
2m+10m +6 = 30-10m +10m
12m +6 = 30
12m= 24
m= 2
What is the missing x-value if (x, -3) is a solution of 2x+2y= -8?
x= -1
Pentagon = 5 sides
Hexagon = 6 sides
Octagon = 8 sides
What is the length of each side of the regular hexagon if the perimeter is 27 feet?
4.5 feet
What is the formula for the circumference of a circle? (Two answers wanted)
C=2pir or C= pid
The ratio of chaperones to children on a field trip is 2:7. If there are 14 adults on the trip, how many children are there?
49
What is the difference in value between the mean and median from the data below:
6, 0.5, 3, 4.5, 3.5, 6.5, 4, 0
Median = 3.75
Mean= 3.5
Difference means subtract.
3.75 - 3.5 = .25
The North American feather-winged beetle is on the world's smallest beetles. It is less than 0.0005 meters in length. What is the length written in scientific notation?
5 x 10-4
Which of the following expressions results from the expansion of (x-8)2 ?
A. x2 - 16x - 64
B. x2 -16x +64
C. x2 - 8x
D. 64
B.
What is the slope of the line?
y = -3/2x + 1
There is a circular mirror with a frame that is 2 inches wide. The diameter of the mirror and frame together is 11 inches.
What is the approximate circumference of the mirror with the frame?
34.54 inches
What is the quadratic formula?
A sofa is regularly prices at $659 but is on sale for 20% off.
The sale price of the sofa is
$527.20
Your bank PIN number must be 4 digits long. Each digit must be the number 0 through 9 and you may not use a number more than once.
How many possible combinations of PIN numbers do you have to chose from?
There are 10 numbers to choose from (0 to 9) and the PIN is four digits long.
10 x 9 x 8 x 7 = 5,040
The expression 4x(x2 + 2y) is equal to which of the following expressions?
a. 4x3 +2y
b. 4x2 +8xy
c. 4x3 +8y
d. 4x3 +8xy
d.
What is the solution of the system?
2x + 2y = 6
5y = 19 -4x
a. (-7, -4)
b. (-4, 7)
c. (4, -7)
d. (7, -4)
b. (-4, 7)
Simplify.
(x-2)/(x^(2 )+x-6 )+ (4x)/(x+3)
(4x+1) / (x+3)
What is the diameter of a cylinder with a volume of 235.5 cubic inches and a height of 3 inches?
10 inches
What is the formula used to find the slope (rise-over-run) of a line while graphing?