Question

name: ____ date: __ period: ____
simplifying algebraic expressions jokes!?!
directions: simplify each problem below to find the correct letters. then put the letters in its numbered space to reveal the answer
show your work

1. $4a - 3 + a + 6$

m: $a + 7$ t: $5a + 3$ h: $10a - 2$

1. $-10(4b + 3)$

z: $-70b$ d: $-104b + 3$ i: $-40b - 30$

1. $2(-9c + 7)$

u: $-18c + 14$ n: $-4c$ c: $-29c + 7$

1. $-5(6 - 3d)$

a: $-15d$ w: $-3d - 56$ l: $15d - 30$

1. $-6(9e + 2) - 2$

!: $-54e - 14$ ? : $-68e$ .: $11e - 8$

1. $7(4f + 4) + 6f$

d: $70f$ s: $34f + 28$ j: $8f + 13$

1. $10g - 8(9g + 9)$

f: $36g$ q: $19g + 1$ r: $-62g - 72$

1. $5h - 6(6h - 1)$

u: $-5h$ e: $-31h + 6$ b: $11h - 7$

1. $-3(-8j - 8) + 9$

y: $24j + 33$ y: $-8j - 2$ k: $57j$

1. $4k + 8(6 - 7k)$ example

$4k + 48 - 56k$
$-52k + 48$
x: $-3k + 14$ n: $-52k + 48$ s: $-4k$

1. $-7(8m + 3) - (2 + 3m)$

p: $-59m - 23$ v: $-77m - 5$ a: $11m - 6$

1. $8(n + 5) + 6(5n + 8)$

g: $126n$ i: $6n + 27$ o: $38n + 88$
what did the triangle say to the circle?
$\overline{9}$ $\overline{12}$ $\overline{3}$ $\overline{7}$ $\overline{8}$ $\overline{11}$ $\overline{12}$ $\overline{2}$ $\overline{10}$ $\overline{n}$ $\overline{1}$ $\overline{4}$ $\overline{8}$ $\overline{6}$ $\overline{6}$ $\overline{5}$
© sarah davis, 2023

Explanation:

Step1: Combine like terms

$4a + a - 3 + 6 = 5a + 3$

Step2: Distribute -10

$-10(4b) + (-10)(3) = -40b - 30$

Step3: Distribute 2

$2(-9c) + 2(7) = -18c + 14$

Step4: Distribute -5

$-5(6) + (-5)(-3d) = -30 + 15d = 15d - 30$

Step5: Distribute -6 then subtract 2

$-6(9e) + (-6)(2) - 2 = -54e -12 -2 = -54e -14$

Step6: Distribute 7 then combine like terms

$7(4f) + 7(4) + 6f = 28f + 28 + 6f = 34f + 28$

Step7: Distribute -8 then combine like terms

$10g -8(9g) -8(9) = 10g -72g -72 = -62g -72$

Step8: Distribute -6 then combine like terms

$5h -6(6h) -6(-1) = 5h -36h +6 = -31h +6$

Step9: Distribute -3 then add 9

$-3(-8j) + (-3)(-8) +9 = 24j +24 +9 = 24j +33$

Step10: Distribute 8 then combine like terms

$4k +8(6) +8(-7k) = 4k +48 -56k = -52k +48$

Step11: Distribute -7 then combine like terms

$-7(8m) + (-7)(3) -2 -3m = -56m -21 -2 -3m = -59m -23$

Step12: Distribute 8 and 6 then combine like terms

$8(n) +8(5) +6(5n) +6(8) = 8n +40 +30n +48 = 38n +88$

Answer:

1. T: $5a + 3$
2. I: $-40b - 30$
3. U: $-18c + 14$
4. L: $15d - 30$
5. !: $-54e - 14$
6. S: $34f + 28$
7. R: $-62g - 72$
8. E: $-31h + 6$
9. Y: $24j + 33$
10. N: $-52k + 48$
11. P: $-59m - 23$
12. O: $38n + 88$

Joke Answer (matching numbers to letters):

9=R, 12=O, 3=U, 7=R, 8=E, 11=P, 12=O, 2=I, 10=N, 1=T, 4=L, 8=E, 6=S, 6=S, 5=!
"R U O R E P O I N T L E S S?!" (or correctly ordered: "YOU ARE POINTLESS?!" matching the joke prompt "What did the triangle say to the circle?")