Review for Math 9 Midterm:
1. Name the subsets of Real numbers that various numbers belong to:
· Integers (I): i.e. -1, -43, 6, 10
· Whole (W): i.e. the counting numbers plus zero 0, 1, 2, 3, 4, …
· Natural (N): i.e. the counting numbers 1, 2, 3, 4, …
· Rational (Q): i.e. fractions and decimals that end OR that repeat forever in a pattern i.e. ¼ = 0.25 or 1/3 = 0.3333333…
· Irrational (Q with a line over it): decimals that go on forever without a repeating pattern i.e. ∏, √2, √5

2. Put various Real numbers in order from greatest to least or least to greatest
i.e. order these from least to greatest ∏, -3.2, 28/9, -6/8, 3/2
answer: -3.2, -6/8, 3/2, 28/9, ∏

3. Positive and negative square roots
i.e. √9 = 3 , -3 √32 =5.6, - 5.6 √-25 = Ø not possible

4. order of operations (use “BEDMAS”)
i.e. 3+(6-4)÷2 =3+2÷2=3+1=4
i.e. (6-9)² ÷2+ ½ = (-3) ² ÷2+ ½ = 9÷2+ ½= 4.5+ ½ +5

5. add, subtract, multiply and divide real numbers (including fractions)
i.e. ½ +3/5 = 5/10 +6/10 = 11/10 or 1 and 1/10
i.e. 3/8- 2/3 = 9/24 – 16/24 = -7/24
i.e. 1/5 x 6/8 = 6/40 = 3/20
i.e. -3/2 ÷ (-4/3)= (-3/2) x( -3/4 ) = 9/8 or 1 and 1/8

6. represent numbers from a table or a story as a matrix; know which element is which (i.e. (3,2) means the element in row 3, column 2); and be able to state the dimensions of a matrix
These are each 3x2 matrices.
7. add or subtract matrices together (can only be done if they have identical dimensions)
8. multiply a matrix by a number (scalar multiplication)
9. Write solution sets for number lines and draw number lines for solution sets