Patterns
Find the next three terms in the pattern: 8, 15.5, 23, 30.5, ___, ___, ___ Describe the pattern.
38, 45.5, 53; First difference: +7.5
Evaluate: 4[(3 + 2 * 3) - 5] + 7
23
To rent a car, it costs a user fee of $40 and then $0.20 per mile. Write an equation to represent how much it costs to rent a car.
C = 0.2m + 40
Simplify by combining like terms: (4y - 5) + (-3y +2)
y - 3
What is the difference between an expression and an equation?
Equation has an = sign. Usually you have to solve an equation and simplify an expression.
The third and fourth terms of a sequence are 24 and 48. What are the first five terms of the sequence? ___, ___, 24, 48, ___
6, 12, 24, 48, 96;
Insert parenthesis to make the equation true. 108 - 17 * 2 + 3 = 23
108 - 17 * (2 + 3) = 23
The local ice skating rink costs $5 to rent skates and $3 per hour. Joe has $45. How many full hours can he skate? Write an equation to represent the situation and answer the question.
45 = 3h + 5; h = 13.33333; Joe can skate for 13 hours and he will have $1 left.
Solve the equation: 4n + 1 = 12 + 5n
n = -11
What property of equality is used in the following equation.
2x - 3 = 4 + 5x --> 2x = 7 + 5x
Addition Property of equality
When
x=1 y=12 x=3 y=18
x=5 y=24 x=7 y=30
Create an equation that holds true for the pattern given
y = 3x + 9
Evaluate if a = 6 and b = -3: 3b^2 + (2a)^2 - |ab|
153
A family lives in a farmhouse that has a 1000-gallon water tank. The family uses 80 gallons of water per day. Write an equation to represent how many days the family will have enough water. g = number of gallons d = number of days
g = 1000 - 80d
Solve the equation: 3(2r - 1) + 5 = 5(r + 1)
r = 3
What two properties are expressed:
5+3(6x-9) = 5+18x-27 = -27+5+18x
Distributive property
Commutative Property
Find the equation for the pattern (x,y). (0,45), (1,43), (2,41), (3,39); y = ___x + ___
y = -2x + 45; Note: Pattern is -2
!!!!DAILY DOUBLE!!!!
3 x (24 ÷2 -3 x 4 +2 x 6)
36
A rectangular rug has a length of 3x and a width of 5x+2. Write two expressions to represent the perimeter and area of the rug. Simplify both expressions.
Perimeter = 16x + 4; Area = 15x^2 + 6x
Solve the equation: 2(8y/3 - 7) = 2(3/2 + 8y/3)
No Solution
What room is my advisory in where you can get help anytime?
213
What is the second number after 34
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...
89
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,...
Evaluate the expression if a = -3, b = 5, and c = -4: [3a^3 + (b-c)] / |ab|
6
Fitness experts say that while working out, the optimal heart rate is between 65% and 85% of your maximum heart rate in beats per minute (bpm). You can estimate your maximum heart rate by subtracting your age, in years, from 220. Write an expression to represent the UPPER limit of the optimal training zone for a person of age "a".
0.85 (220 - a)
Solve the equation: h/2 + 1/5(h-6) = 5h/2 + 9
h = -102/18
Make a table of values for the expression 3x - 2 (for x=1, 2, 3, 4, and 5). Then, draw a graph of the expression by plotting those values.
3x-2 = 1, 4, 7, 10, 13