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Patterns
Order of Operations
Algebraic Expressions
Solving Equations
Miscellaneous
100

Find the next three terms in the pattern: 8, 15.5, 23, 30.5, ___, ___, ___ What is the common difference.

38, 45.5, 53; common difference: 7.5

100

Do without a calculator:

8 - (5-7)2 

4

100

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

100

Simplify by combining like terms: (4y - 5) + (-3y +2)

y - 3

100

What are the five ways to represent a relation?

Equation, Mapping Diagram, Graph, Table, Ordered Pairs

200
The third and fourth terms of a sequence are 26 and 40. If the second differences are a constant +4, what are the first five terms of the sequence? ___, ___, 26, 40, ___
10, 16, 26, 40, 58; First difference: +6, +10, +14, +18; Second difference: +4
200

Evaluate: 4[(3 + 2 x 3) - 5] + 7

23

200
The local ice skating rink costs $5 to rent skates and $3 per hour. Jean has $45. How many full hours can she skate? Write an equation to represent the situation and answer the question.
45 = 3h + 5; h = 13.33333; Jean can skate for 13 hours and she will have $1 left.
200
Solve the equation: 4n + 1 = 12 + 5n
n = -11
200

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.

300
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
300

Insert inclusion symbols to make the equation true. 108 - 17 x 2 + 3 = 23

108 - 17 x (2 + 3) = 23

300

The Goldstein family lives in a farmhouse that has a 1000-gallon water tank. The family uses 80 gallons of wtaer 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

300
Solve the equation: 3(2r - 1) + 5 = 5(r + 1)
r = 3
300

Using f(x) = 5x - 9, find f(-3)

-24

400

Find the equation for the pattern. 25, 29, 33, 37,...?

y = 25 +4(x - 1)

10th term (or when x = 10): y = 61

400

Evaluate if a = 6 and b = -3: 3b2 + (2a)2 - |ab|

153

400

A rectangular rug has a length of 3x and a width of 5x+2. Find the perimeter as an expression in simplified terms.

Perimeter = 16x + 8

400
Solve the equation: 2(8y - 7) = 2(3 + 8y)
No solution
400

Using g(x) = 5-6x, Find g(x) = 7

x = 1/3


g(1/3) = 7

500

Long Reach High School's soccer team is purchasing shirts that cost $21 each. They also have to pay a $10 shipping fee. Make a table to represent how much it costs for 1 shirt, 2 shirts, and 3 shirts. Use the table to find a pattern and write an equation to represent the situation. How many shirts can they get if they have raised $325?

Write an equation and solve.

Equation: C = 21s + 10; They can buy 15 shirts.

500
Evaluate the expression if a = -3, b = 5, and c = -4: [3a^3 + (b-c)] / |ab|
6
500

Write an expression:

eight is less then four times a number squared, divided by the product of a number and three.

(4x2 - 8) / 3x   

500
Solve the equation: (Answer in simplest form) 6 - (t/4) = 8 + (t/2)
t = -8/3
500

Jane spent 1/2 of her babysitting pay one week but also earned an extra $6 for helping her mom. She earned a total of $48.50 that particular week. How much is her normal weekly babysitting pay?

$85