Math - Unit 2A – “Stuff” I Need to Know
Learning Target 1: Apply Order of operations to evaluate numerical expressions.
Example 1: Evaluate. Show ALL work.
4  32 + 8 – 16
8 ÷ (1+3)  52 – 2
28
72 ÷ 9 – 2  4
48
0
Learning Target 2: Translate between words & math.
Example 2A: Write two phrases for each expression.
r + 87
r plus 87
the sum of r & 87
d/27
d divided by 27
the quotient of d & 27
4x
4 times x
the product of 4 & x
Example 2B: Write each phrase as an algebraic expression.
25 less than k
the quotient of 325 and b
k – 25
34 times w
325/b or 325 ÷ b
34w
Learning Target 3: Identify parts of an expression using mathematical terms.
Example 3A: Identify as a variable, coefficient, or constant.
7x + 8
coefficient
variable
coefficient
constant
4b + 5c
variable
coefficient
Learning Target 4: Substitute for a variable & evaluate an expression.
Example 4A: Substitute for a variable & evaluate.
a ÷ b + 5 for a=8 & b=2
9
bc2 for b=2 & c=4
32
Example 4B: Substitute for a variable & evaluate.
39.702 – a for a=0.9
x + 1.064 for x=28.5
38.802
29.564
variable
Example 4C: Substitute for a variable & evaluate.
b – a for a=1 ½ & b=2 1/3
b + 9/14 for b=2/5
5/6
1 3/70
Learning Target 5:
Apply the properites of operations to generate equivalent
expressions.
Example 5A: Simplify by combining like terms.
12y + 12x + 12 - 6x + 12
y + 5x + 6y + 9 - 6
6x + 12y + 24
5x + 7y + 3
x2 + 3 + 2x2 + 4 + 7
8x + 4 - 4 - 4x + x
3x2 + 14
5x
Example 5B: Simplify by applying the distributive property THEN combining like terms.
7(t + 9) + 5 + t
t + 9 + 8(5 + t)
8t + 68
9t + 49
5(8 + x) + 9
3(x + 6) + 8x
5x + 49
11x + 18
Learning Target 6: Identify equivalent expressions.
Example 6A: Determine if the following expressions are equivalent.
4(2 + 3) = 4(5)
6(t – 8) = 6t – 8
yes
no
21 + 6 = 3(7 + 2)
yes
Example 6B: Fill in the blank to create an equivalent expression.
2(6x + 1)
2(x + 2)
12x + 2
2x + 4
2x + 10 + 3x – 4 + y
5x + y + 6
2(3x) + x
7x