8.1 Substituting Values into Algebraic Expressions Example 1 ...
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8.1 Substituting Values into Algebraic Expressions Example 1: Calculate Answer:
3m + 6
if you are given that
m=2
You have to “substitute” or “replace” the variable “m” with given value for “m”, which in this case is 2. 3m + 6 = 3(2) + 6 =6+6 = 12
MAKE SURE YOU SHOW YOUR WORK LIKE I HAVE!!!
NOTE: You must follow BEDMAS when calculating the value: Example 2: Calculate
3x + 8
Answer:
if
3x + 8 = 3(-2) + 8 = -6 + 8 =2
if you are given
x = -2
x = -2
Now try a few of these on your own. Remember to follow your order of operations. (BEDMAS) Calculate the following: a) 12 – 2p
when p = 2
b) 9 + 2r – 6 when r = 4
c) a + 6b 2
when a = 2 b=3
HOMEWORK: Substitution into Algebraic Expressions Worksheet
Substitution into Algebraic Expressions Worksheet Directions: Please answer the following in your binders/ scribblers. Do not do the work on the sheet there is not enough room. 1. If a = 2, b = 5, and c = 7, evaluate the following by substituting these values into the following: a) 3b f) 2b + 3 k) a + b p) 3a + 2b
b) 6a g) 3a + 1 l) a + c q) 5c + 2a
c) 2c h) 2c – 3 m) c – b r) 3b + 2c
d) 4b i) 5a + 7 n) a + b + c s) 9a – 2b
e) 3c j) 9b o) –a t) -3c
2. If a = 3, b = 4, and c = 10, evaluate the following by substituting these values into the following: a) 3b f) 2b + 3 k) a + b p) 3a + 2b
b) 6a g) 3a + 1 l) a + c q) 5c + 2a
c) 2c h) 2c – 3 m) c – b r) 3b + 2c
d) 4b i) 5a + 7 n) a + b + c s) 9a – 2b
e) 3c j) 9b o) –a t) -3c
3. If a = 0, b = 20, and j = 0, evaluate the following by substituting these values into the following: a) 3b f) 2b + 3 k) a + b p) 3a + 2b
b) 6a g) 3a + 1 l) a + c q) 5c + 2a
c) 2c h) 2c – 3 m) c – b r) 3b + 2c
d) 4b i) 5a + 7 n) a + b + c s) 9a – 2b
e) 3c j) 9b o) –a t) -3c
4. If x = 3, y = 2 and z = 5, try to complete the following algebraic expressions: HINT: substitute the variables (letters) for the ??? marks. a) ? + ? = 7
b) ? + ? = 5
c) ? - ? = 2
d) 2? + 3? = 16
5. A builder rents a digger. He pays a fixed charge of $30 plus $10 per hour to rent the digger. Work out how much he pays to rent the digger for: a) 1 hour b) 3 hours c) 4 hours d) 10 hours e) n hours HINT: for part e) can you write an algebraic expression.
