algebra readiness order of operations (pemdas)
TRANSCRIPT
Lesson 1-3
Standard 7NS1.2 Add, subtract, multiply, and divide rational numbers (integers, fractions, and terminating decimals) and take positive rational numbers to whole-number powers.
Standard 7AF2.1 Interpret positive whole-number powers as repeated multiplication and negative whole-number powers as repeated division or multiplication by the multiplicative inverse. Simplify and evaluate expressions that include exponents.
Standard ALG4.0 Students simplify expressions before solving linear equations and inequalities in one variable, such as 3(2x – 5) + 4(x – 2) = 12.
Lesson 1-3
Evaluate Expressions
Find the value of 7 ● 10 + 10 ÷ 2 – 6 ● 5. Show your work.
Answer: 45
7 ● 10 + 10 ÷ 2 – 6 ● 5 = 70 + 10 ÷ 2 – 6 ● 5Multiply 7 by 10.Divide 10 by 2.
= 70 + 5 – 6 ● 5Multiply 6 by 5.
= 70 + 5 – 30Add 70 and 5.
= 75 – 30Subtract 30 from 75.
= 45
Lesson 1-3
FINANCE Mrs. Rodriguez bought 3 gallons of milk for $2.50 each and 2 loaves of bread for $1.00 each. How much did Mrs. Rodriguez spend on milk and bread?
Total spent:
money spent on milk plus money spent on bread
3 ● 2.50 + 2 ● 1.00
Lesson 1-3
Answer: Mrs. Rodriguez spent $9.50 on milk and bread.
3 ● 2.50 + 2 ● 1.00 = 7.50 + 2 ● 1.00Multiply 3 by 2.50.Multiply 2 by 1.00.
= 7.50 + 2.00Add 7.50 and 2.00.
= 9.50
Lesson 1-3
Expressions with Parentheses
Find the value of 10 + 4(6 + 9). Show your work.
Answer: 70
10 + 4(6 + 9) = 10 + 4(15) Add 6 and 9.Multiply 4 by 15.
= 10 + 60Add 10 and 60.
= 70
Lesson 1-3
Expressions with Exponents
Find the value of 5 ● 32 – 42. Show your work.
Answer: 144
5 ● 32 – 42 = 5 ● 32 – 16 Find 42. 4 ● 4 = 16Multiply 5 by 32.
= 160 – 16Subtract 16 from
160.
= 144
Lesson 1-3
Expressions with Grouping Symbols and Exponents
Find the value of 62 ÷ 2 + 4[(6 + 24) ÷ 5]. Show your work.
62 ÷ 2 + 4[(6 + 24) ÷ 5] = 62 ÷ 2 + 4[(30) ÷ 5]Start with the innermost grouping symbol.Add 6 and 24.Divide 30 by 5.
= 62 ÷ 2 + 4(6)Find 62. 6 ● 6 = 36
= 36 ÷ 2 + 4(6)Divide 36 by 2.
Lesson 1-3
Expressions with Grouping Symbols and Exponents
Answer: 42
= 18 + 4(6)Multiply 4 by 6.
= 18 + 24Add 18 and 24.
= 42