1. Do Now Evaluate. 1. 5(7) – 1 2. 7(18 – 11) 3. 22 + 17  8 + 3 34
(40 – 35)
(12 – 4) 34 49
161
111 83
HWK; p 7 and p 10

2. EQ: How do I evaluate and simplify algebraic expressions?
M7A1b Evaluate algebriac expressions,
using commuative, associative, and
distributive properties

3. Vocabulary Variable – a letter that represents a number
Constant – a number
algebraic expression – consist of one or more variables
Evaluate – substitute a number for a variable

4. Additional Example 1: Evaluating Algebraic Expressions
Evaluate k + 9 for each value of k.
A. k = 5
k + 9
5 + 9
Substitute 5 for k. 14
Add.
B. k = 2
k + 9
2 + 9
Substitute 2 for k. 11
Add.

5. Check It Out: Example 1
Evaluate a + 6 for each value of a.
A. a = 3 9
Add.
B. a = 5 11
Add.

6. Multiplication and division of variables can be written in several ways, as shown in the table.
When evaluating expressions, use the order of operations.

7. Additional Example 2: Evaluating Algebraic Expressions Involving Order of Operations
Evaluate the expression for the given value of the variable.
A. 4x – 3 for x = 2
4(2) – 3
Substitute 2 for x.
Multiply.
8 – 3 5
Subtract.

8. Additional Example 2: Evaluating Algebraic Expressions Involving Order of Operations
B. s ÷ 5 + s, for s = 15 18
C. 5x2 + 3x, for x = 2 26

9. Check It Out: Example 2A
Evaluate the expression for the given value of the variable.
A. 3x – 2 for x = 3 7

10. Check It Out: Example 2
B. r ÷ 3 + r, for r = 12 16
C. 4y2 + 2y, for y = 3 42

11. Additional Example 3: Evaluating Algebraic Expressions with Two Variables6 a
Evaluate
+ 4b, for a = 3 and b = 2. 10

12. Check It Out: Example 3 8 w
Evaluate
+ 2x, for w = 4 and x = 2. 6

13.  Equations and Their Solutions 1-10
Course 2
1-10
Equations and Their Solutions
Additional Example 1A: Determining Whether a Number is a Solution of an Equation
Determine whether the given value of the variable is a solution of t + 9 = 17. 26
t + 9 = 17
= 17 ?
Substitute 26 for t.
35 = 17 ? 
26 is not a solution of t + 9 = 17.

14.  Equations and Their Solutions 1-10
Course 2
1-10
Equations and Their Solutions
Additional Example 1B: Determining Whether a Number is a Solution of an Equation
Determine whether the given value of the variable is a solution of t + 9 = 17. 8
t + 9 = 17
8 + 9 = 17 ?
Substitute 8 for t.
17 = 17 ? 
8 is a solution of t + 9 = 17.

15. Insert Lesson Title Here
Course 2
1-10
Equations and Their Solutions
Insert Lesson Title Here
Check It Out: Example 1
Determine whether each number is a solution of x – 5 = 12.
A. 22
x – 5 = 12
22 – 5 = 12 ?
Substitute 22 for x.
17 = 12 ? 
22 is not a solution of x – 5 = 12.
B. 8
x – 5 = 12
8 – 5 = 12 ?
Substitute 8 for x.
3 = 12 ? 
8 is not a solution of x – 5 = 12.

16. Evaluate n + 7 for each value of n. 1. n = 25 2. n =31
TOTD
Evaluate n + 7 for each value of n.
1. n = n =31
Evaluate each algebraic expression for the given value of the variables
3. 6y – 5 for y = 7
4. 4x2 + 3x for x = 6
y for x = 4 and y = 3
6. The expression 7d gives the number of days in d weeks. Evaluate 7d for d = 12. How many days are in 12 weeks? 32 38 37
162 56 x 23 84

17. Equations and Their Solutions Insert Lesson Title Here
Course 2
1-10
Equations and Their Solutions
Insert Lesson Title Here
TOTD
Determine whether the given value of the variable is a solution of 5 + x = 47.
1. x = x = 52
Determine whether the given value of the variable is a solution of 57 – y = 18.
3. y = y = 39
5. Kwan has 14 marbles. This is 7 more than Drue has. Does Drue have 21 or 7 marbles?
yes no no
yes 7