Vocabulary
Order of Operations
Solve for __
Add and Subtract
Proportions
Mark-ups and Discounts
Factors
Place Value Things
200
A term that has no variable
Constant
200
20 ÷ [4-(10-8)]
20 ÷ (4-2)
20 ÷ 2
10
200
15+4(m-2 )= 21
15 + 4m -8 = 21
7 + 4m = 21
4m = 14
m= 14 ÷ 4
m= 3 and 2/4 or 3 and 1/2 or 3.5
200
(-2x + 8) + (-4x + 2)
Rewrite as:
-2x + -4x and 8 + 2
-6x+10
200
Write the Percent Proportion Formula
Is ÷ of = % ÷ 100
200
A scooter is $15 but there is a 55% markup.
How much does the scooter cost?
$15 x 1.55
$23.25
200
Create a Factor Tree for 75
What are the prime factors?
3 • 5 • 5
200
341% written as a decimal
3.41
Percent to Decimal? Move the decimal 2 spots to the left.
300
A number that shows how many times a base is used as a factor.
Exponent
300
9 - |- 3|
6
300
9+4(x+1)= 25
9 + 4x + 4 = 25
13+4x=25
4x = 12
x=3
300
(7x + 4) + (3x – 9)
Rewrite as:
7x+3x and 4 + (-9)
10x - 5
300
3/5 = 15/x
x=25
300
You save 28% on a $40 video game.
$40x.28=11.20 savings
$40 - $11.20
$28.80
300
What is the GCF of 8x and 22y
8: 2 • 2 • 2 • x
22: 2 • 11 • y
GCF is 2
300
5% written as a fraction in simplest form
1/20
5% = 0.05 = 5/100 = five-hundredths
divide numerator and denominator by 5
400
Whole numbers and their opposites.
Integers
400
4b+6-4+3b
4b+3b and 6-4
Answer: 7b +2
400
11( y+3 )= 7( y+1 )
11y + 33 = 7y + 7
4y = -26
y = -26 ÷ 4
y = -6.5 or -6 and 1/2 or -6 and 2/4
400
(6x +2) – (9x + 3)
Rewrite as
6x-9x and 2-3
3x-1
400
h/36 = 21/27
28
400
How much money would you save if there was a $134 jacket on sale at 81% off?
$134 x 0.81
$108.54 Savings
400
6a3 and 8a
6a3: 2 • 3 • a • a • a
8a: 2 • 2 • 2 • a
2a
400
13/20 written as a decimal
0.65
Method 1: Calculator, divide 13÷20
Method 2: 13/20 x 5/5 = 65/100 which is 0.65
400
Two numbers with a product of 1; for example, 1/4 and 4/1.
Reciprocal
400
8•( 3+1 )÷22
8(4)÷22
32÷22
32÷4
8
400
2y+5=6y+25
2y+5=6y+25
-20=4y
-5=y
400
(6x – 7) – (2x +5)
Rewrite as:
6x - 2x and -7-5
4x-12
400
430.2 is 15% of what number?
2,868
400
If a teacher gets 20% off in the store, how much would they pay for a retail order of $180 before tax?
$180 x 0.80 = $144.
400
What is the Prime Factorization of 105x2y
3 • 5 • 7 • x • x • y
400
4 and 2/5 written as a decimal
4.4
Keep the 4 as the whole number, you don't have to mess with that.
For the decimal:
Method 1: Calculator 2÷5=0.4
Method 2: 2/5 x 20/20 = 40/100 or 0.40
500
A number or the product of a number and variable
Term
500
4(w+2)+9(-4w)
4w+8+(-36w)
4w-36w and 8
-32w+8
500
7+(d/6)=19
7+(d/6)=19
(d/6)=12
Fractions are division. Opposite of division is multiplication.
d= 12 x 6
d=72
500
(9x-11) – (x – 5)
Rewrite as:
9x-x and -11 - (-5)
8x - 6
500
What is 120% of 312
374.4
500
A $32,000 car has 9.25% sales tax. How much does the car cost after taxes?
$32,000 x 1.095 = $35,040
500
40 ÷ 8 = 5
a2 ÷ a = a
b ÷ b = 1 (Cancels out)
5a / c
500
–0.4 written as a fraction in simplest form
-2/5
The 4 is in the TENTHS place, making this -4/10. Divide by 2/2 and you get -1/5.