Patterns
Order of Operations
Algebraic Expressions and Word Problems
Solving Equations
Miscellaneous
100
Find the next three terms in the pattern: 8, 15.5, 23, 30.5, ___, ___, ___ Describe the pattern.
38, 45.5, 53
100
What is the first operation you would do in the problem below? 4+10/2
Divide
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
On a line with a negative slope, as x increases, y_____.
decreases
200
How many angles does the fifth image in the pattern below look like? <*> <<*>> <<<*>>>
10
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 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, and an expression does not.
300
What is the next sequence in the pattern below? 1, 4, 9, 16, ___
25
300
Insert one set of parentheses to make the equation true. 108 - 17 * 2 + 3 = 23
108 - 17 * (2 + 3) = 23
300
The Goldstein 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
300
Solve the equation: 3(2r - 1) + 5 = 5(r + 1)
r = 3
300
What does a line with an undefined slope look like?
Vertical (straight up and down.)
400
Find the 10th term for y in the pattern. x=1, 2, 3, 4,...10; y=25, 29, 33, 37,...?
y = 61
400

Evaluate if a = 6 and b = -3: 3b + 2(a + 5) - |ab|

-5

400
A rectangular rug has a length of 3x and a width of 5x+2. Write an expressions to represent the area of the rug. Simplify the expression.
Area = 15x^2 + 6x
400
Solve the equation: 2(8y - 7) = -94
y = -5
400
What is the value of the expression 3x - 2 when x = 12.5
35.5
500
Long Reach High School's soccer team is purchasing shirts that cost $21 each. They also have to pay a $10 shipping fee. How many shirts can they get if they have raised $325?
They can buy 15 shirts.
500
Evaluate the expression if a = -3, b = 5, and c = -4: [3a + (b-c)] / |ab|
0
500
You can estimate your maximum heart rate by subtracting your age, in years, from 220. 85% of your maximum heart rate is the ideal rate for exercise. Write an expression for a person of any age (a) to calculate their ideal exercising heartrate.
0.85 (220 - a)
500
Solve the equation: (Answer in simplest form) 6 - (t/4) = 8 + (t/2)
t = -8/3
500
Simplify this expression: 4(5x + 3)
20x + 12