PEMDAS
Evaluate
20 x 3 ÷ 10
60 ÷ 10
6
The product of b and 8
8b
Evaluate y + 25 x 9 when y = 4
(4) + 25 x 9
4 + 225
229
3p - 2p + 5p
6p
5(x + 3)
5x + 15
4x + 12
4(x + 3)
Robbie buys n notebooks that cost 3 dollars each and p pens that cost 2 dollars each.
Write an expression to represent the total cost of Robbie's purchase.
$(3n + 2p)
Theresa has 36 bottles of water and divides them evenly amongst her f friends. Write an expression to represent how many bottles each friend receives.
36/f
Evaluate
102 ÷ 5 - 4
100 ÷ (5) - 4
20 - 4
16
The quotient of 6 and y
6/y
Evaluate
7b + 3b2 when b = 2
7(2) + 3(2)2
14 + 3(4)
14 + 12
26
6x + 13 - 4x + 7x - 9
9x + 4
2(x - 7)
2x - 14
7x - 42
7(x - 6)
Gwen has r dollars and her brother has ten dollars more than her. Write an expression for the total amount of money the siblings have.
Gwen: r
Brother: r + 10
Total: r + r + 10
$(2r + 10)
On a different day, Theresa has x bottles of water and gives two bottles to her friend Ava. She then divides the remaining bottles evenly amongst her 4 coworkers. Write an expression to represent how many bottles each coworker receives.
(x-2)/4
Evaluate
(13 - 10)2 + (21 - 17)
(3)2 + (4)
9 + 4
13
Fourteen less than e
e - 14
Evaluate
(2k + 15)/(3m)
when k = 6 and m = 3
(2(6) + 15)/(3(3)) = (12 + 15)/(9) = 27/(9) = 3
2v + 20v - 3v + 6 + 10 + 13 - 15v
4v + 29
4(3x + 5)
12x + 20
6x + 27
3(2x + 9)
Ribbon A is m meters long. Ribbon B is three times as long as Ribbon A, and Ribbon C is 5 meters less than Ribbon A. Write an expression to represent the total length of all three ribbons.
Ribbon A: m
Ribbon B: 3m
Ribbon C: m - 5
Total length: m + 3m + m - 5
(5m - 5) meters
Jan and Jill go to a comic book shop. Jan buys 3 comic books that cost $(2d + 3) and Jill buys 5 comic books that cost $4d. Write an expression to represent the total cost of all the comic books purchased
3(2d+3) + 5(4d)
6d + 9 + 20d
$(26d + 9)
Evaluate
17 - (24÷8) x (4) + 52
17 - (3) x (4) + 52
17 - (3) x (4) + 25
17 - 12 + 25
5 + 25
30
Subtract 1/4 from the product of h and 7
7h - 1/4
Evaluate when x = 7, and y = 6
(5x-23)2 - 6y
(5(7) - 23)2 - 6(6)
(35 - 23)2 - 36
(12)2 - 36
144 - 36
108
children: c
adults: c + 12
Total: c + c + 12
2c + 12 people
Distribute then simplify:
3(x + 7) + 2(2x - 3)
3x+21 + 4x - 6
7x + 15
10x + 45
Margot buys 4 paperback books for p dollars each and buys 3 hardcover books that cost 8 dollars more than a paperback book. Write an expression for the total cost of Margot's purchase.
4p + 3(p + 8)
4p + 3p + 24
$(7p + 24)
Emma has g goldfish. Steven has three times as many goldfish as Emma, and then he buys 4 more. How many more goldfish does Steven have?
Steven: 3g + 4
Difference: 3g + 4 - g
(2g + 4) goldfish
Evaluate (8 + 14)/11+6^2/9
(8 + 14)/11+6^2/9
22/11 + 36/9
2 + 4
6
Twelve times the difference of q and 3
12(q - 3)
Evaluate when a = 8 and b = 6
(ab)/2 - a + b^2
(8x6)/2 - (8) + 62
48/2 - 8 + 36
24 - 8 + 36
16 + 36
52
Ms. Nelson had d dollars. She spent some money on e earphones that cost $12 each. She also purchased s pairs of socks that cost $7 dollars per pair. Write an expression to represent how much money Ms. Nelson has left.
d - 12e - 7s
Distribute then simplify:
5(6x + 5) + 2(4x + 7) - 9x - 12x + 33
30x + 25 + 8x + 14 - 9x - 12x + 33
17x + 72
Combine like terms, then factor your answer
5x + 2 + 7x + 5 - 4x + 9
5x + 7x - 4x + 2 + 5 + 9
8x + 16
8(x + 2)
Oranges: 50(x + 3)
Cost: 40x + 50x + 150
90x + 150 cents
Ms. Brooks sewed m shirts using 2 yards of cloth for each shirt. She also sewed m+2 dresses using 5 yards of cloth for each dress. How much cloth did she use in all?
Shirts: 2m
Dresses: 5(m+2)
Total: 2m + 5(m+2)
2m + 5m + 10
(7m + 10) yards