Combine like terms to simplify the expression.
1/_4+6+9y=
Answer: 5y+6
2/ 20a+7+3=
Answer: 20+10
3/_5k+9_2+9k=
Answer: 4k+7
4/ 17+2.9h+3=
Answer: 30+14
Simplify the expression.
5/ _4(3+d)+7d_d=
Answer: _16+6d
6/ 8+5(j_5)+3j_1=
Answer: 32+8j_1
7/ 9(b_3)+4(b_5)=
Answer: 5b+22
8/ _2(2g_6)+4(g_3)=
Answer:zero+9
3 is right. The others are wrong.
Please note that a minus sign is - not _
Try using the minus (-) sign for subtraction, not the underscore (_)!
Anyway, you got them almost all wrong:
-4+6+9y = 2+9y (since 6-4=2)
20a+7+3 = 20a+10
-5k+9-2+9k = 4k+7 OK
17+2.9h+3 = 20+2.9h
-4(3+d)+7d-d = -12-4d+7d-d = -12+2d
8+5(j-5)+3j-1 = 8+5j-25+3j-1 = 8j-18
9(b-3)+4(b-5) = 9b-27+4b-20 = 13b-47
-2(2g-6)+4(g-3) = -4g+12+4g-12 = 0
To simplify the given expressions, we need to combine like terms. Like terms are terms that have the same variable and exponent.
1. To simplify the expression 1/4 + 6 + 9y:
- There are no like terms that can be combined, so the expression remains the same: 1/4 + 6 + 9y.
2. To simplify the expression 20a + 7 + 3:
- There are no like terms that can be combined, so the expression remains the same: 20a + 7 + 3.
3. To simplify the expression 5k + 9 - 2 + 9k:
- Combine the like terms "5k" and "9k" to get "14k".
- Combine the constants "-2" and "9" to get "7".
- The simplified expression is: 14k + 7.
4. To simplify the expression 17 + 2.9h + 3:
- There are no like terms that can be combined, so the expression remains the same: 17 + 2.9h + 3.
5. To simplify the expression -4(3 + d) + 7d - d:
- Distribute the -4 to the terms inside the parentheses: -4 * 3 = -12 and -4 * d = -4d.
- Combine the like terms "-12" and "-4d" to get "-16d".
- Combine the like terms "7d" and "-d" to get "6d".
- The simplified expression is: -16 + 6d.
6. To simplify the expression 8 + 5(j - 5) + 3j - 1:
- Distribute the 5 to the terms inside the parentheses: 5 * j = 5j and 5 * -5 = -25.
- Combine the like terms "8" and "-25" to get "-17".
- Combine the like terms "5j" and "3j" to get "8j".
- Combine the like terms "-17" and "8j" to get "8j - 17".
- The simplified expression is: 8j - 17.
7. To simplify the expression 9(b - 3) + 4(b - 5):
- Distribute the 9 to the terms inside the parentheses: 9 * b = 9b and 9 * -3 = -27.
- Distribute the 4 to the terms inside the parentheses: 4 * b = 4b and 4 * -5 = -20.
- Combine the like terms "9b" and "4b" to get "13b".
- Combine the like terms "-27" and "-20" to get "-47".
- The simplified expression is: 13b - 47.
8. To simplify the expression -2(2g - 6) + 4(g - 3):
- Distribute the -2 to the terms inside the parentheses: -2 * 2g = -4g and -2 * -6 = 12.
- Distribute the 4 to the terms inside the parentheses: 4 * g = 4g and 4 * -3 = -12.
- Combine the like terms "-4g" and "4g" to get "0".
- Combine the like terms "12" and "-12" to get "0".
- The simplified expression is: 0 + 9g, or simply 9g.