Question

pemdas + translating math and english
parenthesis exponents multiplication/division addition/subtraction
in 1 - 12, evaluate the expression.

1. 5 + 2 - 3
2. 12 - 6 + 1
3. 10·2÷4
4. 4 + 3·2
5. 8·3 - 10
6. 5 - 14÷7
7. 2 + 36÷4
8. 10÷5 + 3·2
9. 4 - 20÷10 + 1
10. 3·2² + 1
11. 2·3²÷3
12. 4(2 + 3) - 18
13. translate the following sentences into mathematical expressions or equations:

a. one third of a number: ____________
b. the product of 6 and a number: ____________
c. the sum of a number and 9 is equal to the product of that number and 3: ____________

1. write each statement as an algebraic equation. use more than one variable and state what variable represents.

a. kim has 7 more than 5 times the amount sylvia has.
b. the length of a rectangle is 3 feet less than 4 times its width.

Explanation:

Step1: Add 5 and 2

$5 + 2 = 7$

Step2: Subtract 3 from result

$7 - 3 = 4$

Step1: Subtract 6 from 12

$12 - 6 = 6$

Step2: Add 1 to result

$6 + 1 = 7$

Step1: Multiply 10 and 2

$10 \cdot 2 = 20$

Step2: Divide by 4

$20 \div 4 = 5$

Step1: Multiply 3 and 2

$3 \cdot 2 = 6$

Step2: Add 4 to result

$4 + 6 = 10$

Answer:

4