Bruh, Show Your Work
Factor the expression completely using the GCF:
32y - 56
8(4y - 7)
Find the sum of the linear expressions:
(3a+4)+(6a-3)
9a+1
Write an expression for 9 less than four times a number, n.
4n - 9
Each notebook costs $3. Write an expression for the cost of n notebooks.
3n
Factor the expression completely: 18x + 45y - 27
9(2x + 5y - 3)
Simplify the expression completely:
(7x+2y)-(9x-5y)
-2x+7y
Jordan has $72 on a laundry card. Each load costs $2.50. Write an expression for the balance after m loads, then find the balance after 12 loads.
72 - 2.50m
$42
A student has $65 saved. Each week, she earns $18 walking dogs and spends $7.50 on snacks. Write and simplify an expression for her savings after w weeks, then find her savings after 6 weeks.
65+18w-7.50w
65+10.50w
$128
Factor out the coefficient (1/3) from the expression:
1/3x+5/3
1/3(x+5)
Simplify the expression completely:
3(2x+6)-2(-8x-11)
22x+40
A store buys a board game for g dollars and marks up its cost by 40%. Write two equivalent expressions for the selling price, then find the selling price when the store pays $25.
g+0.40g
1.40g
$35
A science club orders 6 identical kits. Each kit contains one case costing c dollars and 4 tools costing $2.75 each. The club receives $24 off the entire order, then pays $9 shipping. Write and simplify an expression for the total cost, then evaluate it when each case costs $8.50.
6(c+11)-15
6c+51
$102
Factor using the GCF:
48x+72y-96z+144a
24(2x+3y-4z+6a)
Simplify the expression completely:
-3/4(16k-24p+8)-(2k+6p-10)
-14k+12p+4
A podcast episode lasts 52 minutes. You have already listened to 10 minutes and listen to another m minutes each day. Write an expression for the minutes remaining after 3 days, then evaluate it when m=8.
52-10-3m
42-3m
18 minutes
A restaurant bill before tip is b dollars. Three friends split the bill and a 20% tip equally. Write an expression for each friend’s share, then find each share when the bill before tip is $57.
(b+0.20b)/3
(1.20b)/3
$22.80
Factor the expression using the GCF and fully simplify:
36j+90o-180h+53n-108s+72o +144n
18(2j+10o-10h+11n-6s)
Simplify the expression completely:
-2/3(6x-12y+15)-3/2(2-8x+4y)
8x+2y-13
Four friends each buy a sandwich for s dollars and a drink for $2.25. They also share one order of fries for $5. Write an expression for their total cost, then evaluate it when each sandwich costs $6.50.
4(s+2.25)+5
$40
A school club sells b bracelets for $3.50 each. Making each bracelet costs $1.25, and the club spends another $18 on advertising. Write and simplify an expression for the club’s profit, then find the profit from selling 40 bracelets.
2.25b-18
$72