Patterns
Expressions
Tables & Graphs
Simplify
Equations
Inequalities
100
The pattern increases by 6 each time. What is the constant rate of change?
+6
100
Write an expression for 5 more than a number.
5 + x
100
A graph increases by the same amount each step. What type of relationship is this?
Linear
100
Identify like terms:
5a, 2b, 6b, 3a
5a and 3a
2b and 6b
100
Solve: x + 3 = 10
x = 7
100
Write “x is greater than 6” as an inequality.
x > 6
200
Term 1 is 4, Term 2 is 10, Term 3 is 16. What is Term 6?
34
200
Write an expression for: twice a number minus three.
2x - 3
200
In a table of values, what does the first column usually represent in a pattern?
The term number (or the x-axis)
200
Simplify: 6y - y
5y
200
Solve: 3x + 4 = 19.
Show your work!
x = 5
200
Solve: x − 2 < 7
x < 9
300
A pattern starts at 7 and goes up by 2. Write a rule in words.
Start at 7, add 2 each time / Add 2 to get the next term.
300
A movie ticket costs $12. Write an expression for the cost of n tickets.
12n
300
How do you know if a pattern is linear?
It's a straight line.
300
Simplify: x + 7 - 3
x + 4
300
Solve: 8x - 3 = -19
x = -2
300
Solve: 2x > 10
x > 5
400
A pattern is decreasing by 5 each time. What would the next term be after 22?
17
400
A teacher buys a number of books that each cost $10.00 and she buys one bookmark costing $4.75. Write an expression.
10b + 4.75
400
Is this pattern linear? Explain why
It is not a straight line.
The rate of change is different.
400
Simplify: 3x + 2x - 2y + 8y - z
5x + 6y - z
400
Solve: A gym charges $20 to join, plus $3 per visit. Write and solve an equation to find the amount of visits if you spent $56.
Show your work!
3v + 20 = 56
3v = 56 - 20
3v = 36
3v/3 = 36/3
v = 12 visits.
400
Write an inequality for: “Twice a number is at least 20.”
2x ≥ 20
500
A pattern has a starting value of of -3 and increases by 4 each time. What is Term 12? (HINT: Write the expression first!)
4(x) - 3
= 41
500
A babysitter earns $10 per hour and a $15 tip. Write an expression for money earned after h hours.
10h + 15
500
A table shows terms: 2, 5, 10, 17, 26.
Is this linear? Explain.
No, differences are increasing (3, 5, 7, 9)
500
Simplify: 5a - 2(a + 3)
3a - 2
500
A bike rental costs $8 plus $3 per hour. If a student pays $20, how many hours did they rent the bike?
Equation: 3h + 8 = 20
Answer: h = 4
500
A student has $30. Candy bars cost $3 each. Write and solve an inequality to show how many they can buy.
3c ≤ 30
3c/3 ≤ 30/3
c ≤ 10
Max 10 bars!