Question

combine like terms only
simplifying & factoring
name:
v1
1 expression: $44x - 21 + 2x - 24 - 10x$
simplified form: (paste here)
factored form: (paste here)
2 expression: $6 - 3x + 8 + 18x - 4$
simplified form: (paste here)
factored form: (paste here)
3 expression: $15x + 2x + 4 - x + 2$
simplified form: (paste here)
factored form: (paste here)
4 expression: $-48 + 22x - 15 - 8x$
simplified form: (paste here)
factored form: (paste here)
5 expression: $30x - 16 + 2 - 12x - 7$
simplified form: (paste here)
factored form: (paste here)
6 expression: $35x - 10 + 10x + 42 - 5x$
simplified form: (paste here)
factored form: (paste here)
7 expression: $28 - 4 - 2x + 12 + 18x$
simplified form: (paste here)
factored form: (paste here)
8 expression: $-20 + 40x - 4 - 4x + 6x$
simplified form: (paste here)
factored form: (paste here)
version 1: combine like terms only
© gina wilson (all things algebra®, llc) 2022
$2x - 9$
$5x + 4$
$14x - 63$
$18x - 21$
2
6
$3x + 2$
$6x - 7$
$15x + 10$
$36x - 45$
3
7
$4x - 5$
$7x - 4$
$16x + 6$
$40x + 32$
4
8
$4x + 9$
$8x + 3$
$16x + 36$
$42x - 24$
5
9

Explanation:

Step1: Group like terms (Q1)

$(44x+2x-10x)+(-21-24)$

Step2: Simplify (Q1)

$36x - 45$

Step3: Group like terms (Q2)

$(-3x+18x)+(6+8-4)$

Step4: Simplify (Q2)

$15x + 10$

Step5: Group like terms (Q3)

$(15x+2x-x)+(4+2)$

Step6: Simplify (Q3)

$16x + 6$

Step7: Group like terms (Q4)

$(22x-8x)+(-48-15)$

Step8: Simplify (Q4)

$14x - 63$

Step9: Group like terms (Q5)

$(30x-12x)+(-16+2-7)$

Step10: Simplify (Q5)

$18x - 21$

Step11: Group like terms (Q6)

$(35x+10x-5x)+(-10+42)$

Step12: Simplify (Q6)

$40x + 32$

Step13: Group like terms (Q7)

$(-2x+18x)+(28-4+12)$

Step14: Simplify (Q7)

$16x + 36$

Step15: Group like terms (Q8)

$(40x-4x+6x)+(-20-4)$

Step16: Simplify (Q8)

$42x - 24$

Answer:

1. Simplified Form: $36x - 45$
2. Simplified Form: $15x + 10$
3. Simplified Form: $16x + 6$
4. Simplified Form: $14x - 63$
5. Simplified Form: $18x - 21$
6. Simplified Form: $40x + 32$
7. Simplified Form: $16x + 36$
8. Simplified Form: $42x - 24$

*(Note: Factored forms can be derived from simplified forms:

1. $9(4x - 5)$
2. $5(3x + 2)$
3. $2(8x + 3)$
4. $7(2x - 9)$
5. $3(6x - 7)$
6. $8(5x + 4)$
7. $8(2x + \frac{9}{2})$ or $2(8x + 18)$; simplest integer factor: $2(8x+18)$
8. $6(7x - 4)$)*