[section 1] [evaluating expressions]

(1.) 8 + 3 * 7 here is the problem

= 8 + 21 multiply

= 29 add

result: 29

(2.) 6 * (3 + 11) here is the problem

= 6 * 14 add

= 84 multiply

result: 84

(3.) 8 * 7 + 9/9 here is the problem

= 56 + 1 multiply and divide

= 57 add

result: 57

(4.) 30 - 7*0 here is the problem

= 30 - 0 multiply

= 30 subtract

result: 30

(5.) (4 + 2)*7 here is the problem

= 6 * 7 add

= 42 multiply

result: 42

(6.) 3[15 - (5 + 3)] here is the problem

= 3(15 - 8) add

= 3(7) subtract

= 21 multiply

result: 21

(7.) 2[11 * (8/4)] here is the problem

= 2(11*2) divide

= 2(22) multiply

= 44 multiply

result: 44

(8.) 4[(24/6) + 2] here is the problem

= 4(4 + 2) divide

= 4(6) add

= 24 multiply

result: 24

(9.) 2[(11*8)/4] here is the problem

= 2(88/4) multiply

= 2(22) divide

= 44 multiply

result: 44

(10.) 8/[(16 - 2)3 + 4] here is the problem

= 8/[14*3 + 4] subtract

= 8/(42 + 4) multiply

= 8/46 add

= 4/23 reduce

result: 4/23

(11.) 50 + 2x for x = 20 here is the problem

= 50 + 2(20) replace x with 20

= 50 + 40 multiply

= 90 add

result: 90

(12.) 2p + 2s for p = 4 and s = 5 here is the problem

= 2(4) + 2(5) replace p & s with 4 & 5

= 8 + 10 multiply

= 18 add

result: 18

(13.) 8/(x - y) for x = 10 and y = 6

[here is the problem]

= 8/(10 - 6) replace x & y with 10 & 6

= 8/4 subtract

= 2 divide

result: 2

(14.) 2a + b for a = 7 and b = 5 here is the problem

= 2(7) + (5) replace a & b with 7 & 5

= 14 + 5 multiply

= 19 add

result: 19

(15.) (a + 2b)/5 for a = 10 and b = 2 here is the problem

= (10 + 2(2))/5 replace a & b with 10 & 2

= (10 + 4)/5 multiply

= 14/5 add

= 2.8 divide

result: 2.8



(16.) 2(a + b) for a = 4 and b = 5 here is the problem

= 2(4 + 5) replace a & b with 4 & 5

= 2(9) add

= 18 multiply

result: 18

(17.) 10 - 5q for q = 8 here is the problem

= 10 - 5(8) replace q with 8

= 10 - 40 multiply

= -30 subtract

result: -30

(18.) 10 + 3y for y = 10 here is the problem

= 10 + 3(10) replace y with 10

= 10 + 30 multiply

= 40 add

result: 40

(19.) B = 5 + t² for t = 3 here is the problem

B = 5 + (3)² replace t with 3

B = 5 + 9 square the 3

B = 14 add

result: B = 14

(20.) Q = 2n - 1 for n = 8 here is the problem

Q = 2(8) - 1 replace n with 8

Q = 16 - 1 multiply

Q = 15 subtract

result: Q = 15