Could someone please check my math questions? your help would be greatly appreciated!!
Simplify #1 through 3.
1. 20/2 – 32 – (-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
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~
1.a
2.d
3.a
4.c
5.a
6.a
7.d
8.d
9.b
10.a
11.a
12.c
14.d
15.c
2 answers
#1:
20/2 – 32 – (-2)2
= 10 - 32 - (-4)
= 10 - 32 + 4
= -22+4
= -18
Since that's not one of the choices, I suspect a typo in your presentation.
#3: (3/4)/(2/5) = (3/4)(5/2) = 15/8, so C
#8: C 14.2 is certainly not an integer!
#10: 24.97 = (25-0.03)
That's the cost of one pair. You want 4 pairs, so D
The rest look good.