Distribute It!
Simplify:
3(x+4)
What is 3x+12?
A student writes:
2(3x+5)=6x+5
Find the error.
They only multiplied 3x, not 5. Correct answer: 6x + 10.
Simplify:
3(x−2)+5(x+1)
What is 8x−1?
Find the perimeter of a triangle with sides x+3, 2x+1, and 3x−2.
What is 6x+2?
Factor: 8x+12.
What is 4(2x+3)?
Simplify:
−2(5y−1)
What is −10y+2?
A student writes:
−(4x−7)=−4x−7
Sign error on −7. Correct answer: −4x+7.
Simplify:
−2(3x−(4−x))
Answer:
Inside: 3x−4+x=4x−4
Final: −8x+8.
Find the perimeter of a rectangle with length 4x+1 and width 2x−3.
What is 12x−4?
Factor the perimeter:
6x+18.
What is 6(x+3)?
Simplify:
4(3a−2b+5)
What is 12a−8b+20?
A student writes:
1/2(10y−4)=5y−4
They forgot to multiply −4. Correct answer: 5y - 2.
Equivalent expression for:
6(2a−b)−3(a−4b)
What is 9a−2b?
Find the perimeter of a triangle with:
(1/2)x+3, 2x−1, (3/4)x+5.
What is (13/4)x+7?
Factor the perimeter of a triangle with sides
4x+2, 3x+2, x+2.
What is 2(4x+3)?
Simplify:
0.5(8x−6)
What is 4x−3?
A student writes:
3(2x−6)−x=6x−6−x
Error: 3(−6)=−18. Correct: 6x−18−x.
Simplify:
1.5(4x−2.5)−0.5(2x+1)
What is 5x−4.25?
Simplify:
(1.2x+0.5)+(2.8x−0.3)+(3x+1.1).
What is 7x+1.3?
Factor: 14x+21.
Answer: What is 7(2x+3)?
Simplify:
3/4(12m-8)
What is 9m−6?
A student writes:
−5(3x−(2−x))=−15x−10−x
Inside parentheses error. Correct inside:
3x−(2−x)=3x−2+x=4x−2
Final: −20x+10.
Simplify:
−3(2a−(b−4))+5(a−2b)
What is −a−7b−12?
A rectangle has
Length: 2x+3, Width: x−1.
Is 6x+4 the perimeter?
Yes
A pentagon has perimeter (41/12)x+(23/4).
Factor out the GCF.
What is (1/12)(41x+69)?