$100 $200 $300 $400 $500 $200 $300 $400 $500 Order of Operations & Expressions +, -, x, / Integers Coordinate Planes Patterns Vocabulary

Order of Operations and expressions for $100 What does PEMDAS stand for?

Answer Parenthesis Exponents Multiplication Division Addition Subtraction Back

Order of Operations and expressions for $200 Does Multiplication always come before Division? How are they solved?

Answer No, they are solved from left to right. Back

Order of Operations and expressions for $300 Write and expression to represent the following: Joe has 5 less than three times the number of pencils that Jean has.

Answer Let x = the number of pencils that Jean has, then the number that Joe has is: 3x - 5 Back

Order of Operations and expressions for $400 What is the difference between an expression and an equation?

Answer An expression does not have an equal sign, an equation does. Back

Order of Operations and expressions for $500 Use order of operations to simplify: 3*|-4 +2| - 5*(-3 + 1) + 3 2

Answer 3*|-4 +2| - 5*(-3 + 1) = 3*|-2| - 5*(-2) = 3*2 – 5* = = = 25 Back

+, -, x, / Integers for $100 Simplify: (-6) – (-3)

Answer (-6) – (-3) = = -3 Back

+, -, x, / Integers for $200 Simplify: (12) / (-3)

Answer (12) / (-3) = -4 Back

+, -, x, / Integers for $300 Simplify: (-7) * (4) / (-2)

Answer (-7) * (4) / (-2) = -28/-2 = 14 Back

+, -, x, / Integers for $400 Simplify: (-7 - 4) * (2 - -6)

Answer Back (-7 - 4) * (2 - -6) = -11 * 8 = -88

+, -, x, / Integers for $500 Simplify: (22)/ (-2) * (4) / (-11) + -5

Answer (22)/ (-2) * (4) / (-11) + -5 = -11*4/ = -44/ = = -1 Back

Patterns for $100 What are the next two numbers in the following pattern? 2, -6, 18, -54…

Answer The pattern is multiply by -3 every time, so the next two numbers in the pattern are: -54*-3 = 162 and 162*-3 = -486 Back

Patterns for $200 Are answers found using inductive reasoning always correct? Why or why not?

Answer No, answers based on inductive reasoning are simply guesses based on perceived patterns. In actuality, there could be multiple correct patterns, or no pattern at all. Back

Patterns for $300 Write a rule for the following pattern: 3, 5, 8, 12, …

Answer Start with 3, then add 2. Add 3 the second time, 4 the 3 rd time, etc. In other words increase the number you are adding by one each time. Back

Patterns for $400 How many black triangles are going to be in the fifth (5 th ) picture?

Answer The pattern is multiply by three: 1 x 3 = 3 3 x 3 = 9 9 x 3 = x 3 = 81 Back

Patterns for $500 The Fibonacci sequence was first published in 1202 by a man named Leonardo of Pisa. The first terms of the sequence are given below. Find the next three terms. 1, 1, 2, 3, 5, 8, 13, 21….

Answer The pattern is that the next number equals the sum of the two numbers that come directly before it. 1+1 = 2, 1+2 = 3, 3+3 = 5, etc. So, = 34, = 55, and = 89 Back

Vocabulary for $100 Define the following word: Constant

Answer Constant- Any quantity or value that does NOT change Back

Vocabulary for $200 Define the following word: Expression

Answer Expression – A mathematical phrase that represents a quantity that may contain variables, numbers, and/or operators, but NO statement of equality. Back

Vocabulary for $300 Define the following word: Variable

Answer Variable – A quantity that can change or take on different values Back

Vocabulary for $400 Define the following word: Quadrants

Answer Quadrants – The four sections into which the x-y plane is divided by the x and y axes. Back

Vocabulary for $500 Define the following word: Origin

Answer Origin – The intersection of the x and y axis in a coordinate plane. Labeled as the point (0, 0) Back

Coordinate Planes for $100 Write the ordered pair for point B:

Answer (-2, -4) Back

Coordinate Planes for $200 Draw and label the quadrants on a coordinate plane.

Answer Back

Coordinate Planes for $300 Graph the points (-2, 4) and (3, -2) on a coordinate plane.

Answer Back

Coordinate Planes for $400 What information must be on every coordinate plane?

Answer 1)x and y axis (labeled) 2)Arrows on the ends of the axes 3)Evenly spaced tick marks (correctly numbered) Back

Coordinate Planes for $500 Graph the following points and connect them to form a shape. Label each point correctly. A:(-1, -2); B:(-1, 4); C:(4, 4); D:(4, -2)

Answer Back B C A D