can someone help me with these math question?? Please? I would appreciate any help!
Simplify #1 through 3.
1. 20/2 – 3^2 – (-2)^2
a. -3
b. 5
c. 16
d. 24
2. 3(x – 5) – (x + 2)
a. 2x – 13
b. 3x – 13
c. 2x – 3
d. 2x – 17
3. (¾) / (2/5)
a. 3/10
b. 8/15
c. 1 7/8
d. 3 1/3
For #4 and #5 choose the property that is best illustrated in the statement.
4. x - (3a + 2) = x - 3a - 2
a. Associative Property
b. Commutative Property
c. Distributive Property
d. Substitution
5. x – 3a + 3a + 6 = x + 6
a. Additive Inverses Property
b. Additive Identity Property
c. Distributive Property
d. Substitution
6. Find the simplest algebraic expression for the following situation.
Susie, Sarah, and Tamera are planning to knit sweaters for their family. The sweaters will be made with yellow and blue yarn.
Susie needs to order 5 skeins of yellow yarn and 3 skeins of blue yarn.
Sarah needs to order 12 skeins of yellow yarn and 4 skeins of blue yarn.
Tamera needs to order 8 skeins of yellow yarn and 10 skeins of blue yarn.
How much total yarn should be ordered?
a. 25y + 17b
b. 20y + 22b
c. 42by
d. none of these
7. Simplify the algebraic expression by combining like terms:
2a – (a – 3b) – 5b
a. a – 8b
b. 3a – 8b
c. 3a – 2b
d. a – 2b
8. -14.2 belongs to which set of numbers?
a. {integers}
b. {whole numbers}
c. {rational numbers}
d. all of the sets listed above
9. Which number is the multiplicative inverse of -42?
a. –42
b. –1/42
c. 1/42
d. 42
10. You are buying 4 new pairs of slacks. All of the slacks are on sale for 24.97. What expression would you use to mentally find the total cost of the slacks?
a. 4(25) + 0.03
b. 4(25 + 0.03)
c. 4(25) – 0.03
d. 4(25 – 0.03)
11. Which variable expression is a translation of “5 times the difference of 8 and a number x”?
a. 5(8 – x)
b. x – 5(8)
c. 5(8) – x
d. 5 – 8x
12. The number of students on the football team is 2 more than 3 times the number of students on the basketball team. If the basketball team has y students, write a variable expression for the number of students on the football team.
a. 3y
b. 3y - 2
c. 2 + 3y
d. 2y + 3
I'll be glad to help you. What don't you understand about these problems?
oh sorry, I forgot to add my answers... Could you check my answers?
Yes. I'll check your answers.
My answers~
1.a
2.d
3.a
4.c
5.a
6.a
7.d
8.d
9.b
10.a
11.a
12.c
I have 2 more questions I would like you to check, if you don't mind doing...
14.Between what two integers is √39 ?
a. 3 and 4
b. 4 and 5
c. 5 and 6
d. 6 and 7
15. If the US Senate, with 140 members, contains 20 more Democrats than Republicans, how many Republicans does it contain?
a. 20
b. 40
c. 60
d. 80
My answers~ 14.d 15.c
I checked some of the first 10. I don't know 4, 5, and 8.
2, 6, and 9 are right.
1, 3, and 10 are wrong.
If you'd like someone to check the other answers, please post them by clicking Post a New Question.
Alright, thank you for your help!!
I'd be happy to help you with these math questions! Let's go through them one by one:
1. To simplify the expression 20/2 - 3^2 - (-2)^2, we first evaluate the exponents: 3^2 = 9 and (-2)^2 = 4. Then we perform the subtraction and division: 20/2 - 9 - 4. This simplifies to 10 - 9 - 4 = 1 - 4 = -3.
So the answer to question 1 is (a) -3.
2. To simplify the expression 3(x - 5) - (x + 2), we start by distributing the 3 to both terms inside the parentheses: 3x - 15 - (x + 2). Then we remove the parentheses for the second term: 3x - 15 - x - 2. Next, we combine like terms: 3x - x - 15 - 2 = 2x - 17.
So the answer to question 2 is (d) 2x - 17.
3. To simplify the expression (3/4) / (2/5), we need to remember that dividing by a fraction is the same as multiplying by its reciprocal. So we rewrite the expression as (3/4) * (5/2). We then multiply the numerators (3 * 5 = 15) and the denominators (4 * 2 = 8): 15/8.
So the answer to question 3 is (b) 8/15.
4. The property illustrated in the statement "x - (3a + 2) = x - 3a - 2" is the Distributive Property. Distributing the negative sign to both terms inside the parentheses results in the second expression.
So the answer to question 4 is (c) Distributive Property.
5. The property illustrated in the statement "x - 3a + 3a + 6 = x + 6" is the Additive Identity Property. Adding zero (in this case, 3a - 3a) to a term does not change its value.
So the answer to question 5 is (b) Additive Identity Property.
I will explain the remaining questions in a separate response to avoid exceeding the character limit.