Number Sense
Equations & Expressions
Ratios & Proportions
Probability & Statistics
Linear Functions
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
What is the slope of y = x?
m = 1
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
What is the y intercept of the equation 2y = -4x - 10
b = -5
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
The slope AND y intercept from the equation
5x - 8y = -16
m = 5/8
b = 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 > 24
400
Solve the following proportions: 16 / x = 2 / 3 x = ? n / 8 = 3 / 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?
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
The following equation in function form is
2y + 2= -3x
y = -3/2x - 1
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
k = ?
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
The inequality for the following graph is
y < 3