Show:
Patterns
Order of Operations
Algebraic Expressions and Properties
Solving Equations and Inequalities
Miscellaneous
100
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
100

How do you solve fraction bars in Order of Operations?

Solve the numerator and denominator separately. Then divide at the end and simplify.

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

Name the four types of slope.

Positive, negative, zero, and undefined.

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 * 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 

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 * 2 + 3 = 23

108 - 17 * (2 + 3) = 23

300

Which property does this show: if a=b and b=c, then a=c.

Transitive property

300

Solve the inequality: 5 >r + 1

4 > r

300

What is the slope of a vertical line?

Undefined

400
Find the equation for the pattern. Use the equation to find the 10th term in the pattern. x=1, 2, 3, 4,...10; y=25, 29, 33, 37,...?
y = 4x + 21; 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. Write two expressions to represent the perimeter and area of the rug. Simplify both expressions.

Perimeter = 16x + 4; Area = 15x^2 + 6x

400

Solve the inequality: 8y < 3 + 7y

y < 3

400

Make a table of values for the expression 3x - 2 (for x=1, 2, 3, 4, and 5). Write the ordered pairs.

(1,1), (2,4), (3,7), (4,10), (5,13)

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?

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

500

Evaluate the expression if a = -3, b = 5, and c = -4: [3a3 + (b-c)] / |ab|

6

500
Define Multiplicative Inverse.

The product is 1, (a/b)*(b/a)=1

500

Solve the inequality: -8m < 66  

m > -33/4

500

Define function.

Every input has exactly one output.