Question

Evaluate each expression.

1. 3 × 5 + 2 × 8 + 2
2. ($1.75 + 2 × $0.25 + 5 × $0.05) × 24
3. (2 × 6) + (8 × 4) + 1
4. (8 × 1.95) + (3 × 2.95) + 10.95 × 1.06
5. (12 ÷ 3)² − (18 ÷ 3²) × (4 ÷ 2)

Answer 1

The evaluations are:

1) 33 2) $60.00 3) 45 4) 36.09 5) 12

Lets evaluate each expression:

1. 3 × 5 + 2 × 8 + 2

= 15 + 16 + 2

= 33

2. ($1.75 + 2 × $0.25 + 5 × $0.05) × 24

= ($1.75 + $0.50 + $0.25) × 24

= $2.50 × 24

= $60.00

3. (2 × 6) + (8 × 4) + 1

= 12 + 32 + 1

= 45

4. (8 × 1.95) + (3 × 2.95) + 10.95 × 1.06

= 15.60 + 8.85 + 11.64

= 36.09

5. (12 ÷ 3)² − (18 ÷ 3²) × (4 ÷ 2)

= (4)² - (18 ÷ 9) × (2)

= 16 - (2) × (2)

= 16 - 4

= 12.00

Answer 2

1. 33

2. 60

3. 45

4. 36.057

5. 12

Explanation:

Remember that the hierarchy of operations is division, multiplication, addition and subtraction.

1. 3x5+2x8+2=(3x5)+(2x8)+2=15+16+2= 33

2. First we solve what is inside the parentheses.

1.75 + 2 × 0.25 + 5 × 0.05= 1.75+(2x0.25)+(5x0.05)= 2.5

Then (1.75 + 2 × 0.25 + 5 × 0.05)x24= 60

3. (2 × 6) + (8 × 4) + 1=12+32+1= 45

4. (8 × 1.95) + (3 × 2.95) + 10.95 × 1.06=(8 × 1.95) + (3 × 2.95) + (10.95 × 1.06)=15.6+8.85+11.607= 36.057

5.
`(12/ 3)^2 - (18 / 3^2) * (4/ 2)=(4)^2-(2)* (2)=16-2* 2=16-4=12`