Number Sense
Equations & Expressions
Ratios & Proportions
Probability & Statistics
Geometry
100

What is the definition of absolute value? Find |-20|

Absolute value is the distance a number is from 0. |-20| = 20

100
Combine like terms: -18y + 22y =
= 4y
100
Determine if the ratios are proportional: 4 : 7 and 16 : 49
No 4*4=16 but 7*4 = 28, not 49
100

A student is randomly selected from a class of 32 students. There are 20 girls in the class. What is the probability that the selected student is a boy?

32 - 20 = 12 12 / 32 = 6 / 16 = 3/ 8

100

A right triangular prism with a base of 9 cm and a height of 10 cm has a PRISM Height of 5cm.  What is the volume of the prism? (Hint: V = B x h)

B: 9 x 10 / 2 = 45 sq. cm

h: 5cm

V = B x h

V = 45 x 5 = 225 cm cubed

200

- (4) - (-13) =

-4 - (-13) = Remember: -(-) = + -4+13 = = 9

200
Use the distributive property to simplify the expression: -8( -x + 5 ) =
= 8x - 40
200
Find the unit rate: 39 meters in 13 seconds
3 meters per second
200

Find the mean, median, mode, and range of the following values: 17, 7, 11, 13, 2, 12, 7

Mean: 9.9 Median: 11 Mode: 7 Range: 17 - 2 = 15

200

If two angles sum to 90 degrees, what do we call them?

Complementary Angles

300
1/6 + 3/12 = ? Notice: Unlike denominators!
= 5/12
300
Use inverse operations to solve for "x" -11x + 3 = -30 x = ?
-11x + 3 = -30 Subtract 3 from both sides -11x = -33 Divide both sides by -11 x = 3
300
Which is the better unit price? $4.00 for a 16-ounce bag of Doritos or $3.60 for a 12-ounce bag of Cheetos?
4.00/16 = $.25 per ounce for Doritos 3.60/12 = $.30 per ounce for Cheetos. Doritos are a better deal.
300

A jukebox has 2 rock CDs, 5 country CDs, 7 R&B CDs, and 6 rap CDs. The jukebox randomly selects a CD to play. What are the odds the jukebox will not choose a rock CD?

2 + 5 + 7 + 6 = 20 CDs total Only 2 are rock, so 18/20 are not rock = 9/10 or 90%

300

A trapezoid has a height of 8 cm, a bottom of 12 cm, and a top of 6 cm. What is the area? Remember: UNITS! (A = 1/2 (b1 + b2)

A = 1/2 (b1 + b2) * h A = 1/2 (12 + 6) * 8 A = 1/2 (18)*8 A= 72 cm^2

400
(3/5)(4/9) = ? Remember: Fraction multiplication!
12/45 = 4/15
400
Solve the following inequality for the variable: x/2 - 4 > 8
x/2 - 4 > 8 Add 4 to both sides x/2 > 12 Multiply both sides by 2 x > 24
400
Solve the following proportions: 

If 16 / x = 2 then,  3 x = ? 

If n / 8 = 3 then, 4 n = ?

x = 24 n = 6
400

2 friends are playing with a normal 52-card deck of cards. Monica and Rachel each take a card from the deck. Joey's turn is next. What is the probability that Joey will get a 9 if Monica and Rachel did not get a 9?

Since Monica and Rachel took a card, 52 - 2 = 50 Four 9's in the deck 4/50 = 2/25 chance Joey gets a 9

400

A circle has an area of 78.5 square millimeters. If we use 3.14 for pi, what is the radius of the circle? The diameter? Remember: A = pi*r*^2.

78.5 = 3.14*r*r 

78.5/3.14 = r*r 

25 = r*r 

r = 5 mm or Square root of 25 

d = 10 mm or 2* square root of 25

500
(2/12) รท (8/3) = Remember: Fraction division K, C, F
6/96 = 1/16
500
A 7th grader is taking his crush to the movies. He has $40 to spend. They go to the movies in the afternoon, when the tickets are only $8 each. He really wants to buy some snacks, too, which are on special for $5 each. Set up an inequality to depict this scenario, and then explain how many possible snacks he could buy.
2*8 + 5x < 40 (Note: < means less than or equal to) 1. Subtract 16 from both sides: 5x < 24 2. Divide both sides by 5: x < 4 remainder 4 So, he can buy UP TO 4 snacks.
500
Find the constant of proportionality: (Remember: k = y/x) x: 2,       5,      10,    12 

      y: 1.5,   3.75,   7.5,     9 

9/12 = .75 k = .75
500

Chandler and Ross are playing cards. What is the probability that Chandler will get a 5 (and keep it) AND THEN Ross will get an 8?

4/52 * 4/51 = 16/2652 1/13*4/51 = 4/663

500

What is the volume of a cylinder with height of 11 cm and a radius of 4.5 cm? Remember: UNITS! 

V = B x h

V = (pi*r^2) x h

V = pi*r^2*h V = 3.14 * 4.5*4.5*11 V = 699.4 cm^3

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