GRADE 7 MATHEMATICS (7.2) Number, operation, and quantitative reasoning. The student adds, subtracts, multiplies, or divides to solve problems and justify solutions. The student is expected to: (E) simplify numerical expressions involving order of operations and exponents.
Problem #1: Simplify the expression 24 (24 4 2) 2 42 . Show your work.
Problem #2: Circle the expressions below that have a value of 30. (3 10) (5 10 2)
(4 8) (5 3) 8
(3 1) 2 (5 10 2) (9 4 2)
1. What mathematical concepts and vocabulary do I need to know to be able to work these problems?
2. Will the Grade 7 Mathematics Formula Chart be helpful on these problems? Why or why not?
3. Will a picture or diagram be helpful on these problems? If so, how?
4. What problem-solving strategy or strategies will I use to help solve these problems?
5. Extension (7.2E): If the parenthesis were removed from the expression in Problem #1, what value would the expression have? Show your work.
6. Extension (7.2E): Can you rearrange and/or insert additional parenthesis in the expression in Problem #1so that it will have a value of 64? If so, how? Show your work.
TEKSING TOWARD TAKS © 2006
Page 1
GRADE 7 MATHEMATICS (7.2) Number, operation, and quantitative reasoning. The student adds, subtracts, multiplies, or divides to solve problems and justify solutions. The student is expected to: (E) simplify numerical expressions involving order of operations and exponents.
Problem #1: Simplify the expression
24 (24 4 2) 2 4 2 . Show your work.
Problem #2: Circle the expressions below that have a value of 30. (3 10) (5 10 2)
(4 8) (5 3) 8
(3 1)2 (5 10 2) (9 4 2)
TEKSING TOWARD TAKS © 2006
Page 2
GRADE 7 MATHEMATICS (7.2) Number, operation, and quantitative reasoning. The student adds, subtracts, multiplies, or divides to solve problems and justify solutions. The student is expected to: (E) simplify numerical expressions involving order of operations and exponents.
What is the value of the expression [(2 3) 2 3] 7 8 ?
What is the value of the expression [(2 3) 2 (3 7)] 7 ?
A
-28
A
5
B
-4
B
7
C
4
C
2.5
D
12
D
2
What is the value of the expression [(2 3) 8] 4 2 ?
What is the value of the expression 2 5 (3 15) 9 ?
A
5
A
-1
B
2
B
1
C
-5
C
D
11
D
3 1 2
2
What is the value of the expression (14 6) 2 8 4 3 ?
What is the value of the expression (11 7) 9 3 2 ?
A
12
A
-3
B
20
B
-1
C
68
C
1
D
186
D
3
To simplify the expression 3 5 3 8 4 , which step should be preformed first? 2
What is the value of the expression
A
5 3
A
12.5
B
8 4
B
5
C
32
C
2.5
D
3 8
D
2
TEKSING TOWARD TAKS © 2006
(12 8) 5 ? 2
Page 3