Day 1 – Category 1
1. (A.10A) Simplify the polynomial expression below.
(−𝑥 2 + 5𝑥 ) − (6𝑥 2 + 𝑥 − 2)
A. −7𝑥 2 + 6𝑥 + 2
B. 5𝑥 2 + 6𝑥 − 2
C. 5𝑥 2 + 6𝑥
D. −7𝑥 2 + 4𝑥 + 2
3
5
2. (A.10D) Which expression is equivalent to 2𝑚 (2 𝑚 + 1) + 3 (3 𝑚 − 2)?
A. 3𝑚2 + 5𝑚 − 1
B.
3
4
𝑚2 +
23
9
𝑚−6
C. 3𝑚2 + 7𝑚 − 6
D.
3
4
5
𝑚2 + 9 𝑚 − 1
3. (A10.E) Which function is equivalent to
𝑓(𝑥) = 6𝑥 2 − 13𝑥 + 5?
A. 𝑓 (𝑥 ) = (3𝑥 − 1)(2𝑥 + 5)
B. 𝑓 (𝑥 ) = (3𝑥 − 5)(2𝑥 − 1)
C. 𝑓 (𝑥 ) = (3𝑥 − 1)(2𝑥 − 5)
D. 𝑓 (𝑥 ) = (3𝑥 − 5)(2𝑥 + 1)
Day 1 – Category 1
4. (A11.B) A rectangular prism has a width of 𝑥 inches, a length of 𝑥²𝑦 inches, and a height of 𝑦²
inches. Which expression represents the volume in cubic inches of this rectangular prism?
A. 4𝑥²𝑦²
B. 4𝑥³𝑦³
C. 𝑥²𝑦²
D. 𝑥³𝑦³
5. (A11.B) Which expression is equivalent
to
A.
B.
12𝑥 6𝑦 −4 𝑧 2
3𝑥 2 𝑦 −6𝑧 3
?
9𝑥 8 𝑧 5
𝑦 −10
4𝑥 8 𝑧 5
𝑦 −10
C.
D.
9𝑥 4𝑦 2
𝑧
4𝑥 4𝑦 2
𝑧
6. (10B) Find the product of (x – 1) and (2x2 – x + 5)
A. 2x3 + 3x2 + 6x – 5
C. 2x3 – 3x2 + 6x – 5
B. 2x3 – 3x2 + 5x – 5
D. 2x3 + x2 + 4x + 5
7. (10B) Maggie May wants to install a pool in her backyard. The pool will have a width of 2x and
length of 6x − 1. The backyard has a width of 3x + 2 and length of 5x − 7 What is the area of
the yard that is left after the pool is installed?
Day 1 – Category 1
8. (10B) In which step below does a mistake first appear in simplifying the expression
0.5(−12c + 6) − 3(c + 4) + 10(c − 5)?
Step 1: −6c + 3 − 3(c + 4) + 10(c − 5)
Step 2: −6c + 3 − 3c −12 + 10(c − 5)
Step 3: −6c + 3 − 3c −12 + 10c − 50
Step 4: 7c − 41
A Step 1
B Step 2
C Step 3
D Step 4
3𝑉 1/2
9. (The radius r of the base of a cone is given by the equation 𝑟 = (𝜋ℎ)
where V is the volume of the cone and h is the height of the cone. To the nearest tenth of an inch,
find the radius of a conical paper cup that has a volume of 5 cubic inches and a height of 4 inches.
Use 3.14 for 𝜋.
A. 0.6 in.
B. 1.09 in.
C. 1.2 in.
D. 2.4 in.
10. Find the area of a square with a side length of
ℎ3 𝑘 9
4𝑚 2
inches.
A.
ℎ5 𝑘 9
4𝑚 2
6 18
C. ℎ 𝑘
16𝑚 4
in2
B.
in2
D.
ℎ 5𝑘 9
8𝑚 4
in2
ℎ 9𝑘 49
16𝑚 4
in2
Day 1 – Category 1
11.
Divide:
12.
2x2 + 9x + 9
x+3
a.
b.
c.
d.
13. (24x
a.
b.
c.
d.
14.
(x 2
a.
b.
c.
d.
x+3
2x – 3
2x + 3
2x + 6
6
+ 24x
5
+ 72x
4
) ÷ 8x
3x3 + 3x2 + 9x
16x3 + 16x2 + 64x
3x6 + 3x + 9
3x9 + 3x8 + 9x7
−10x + 25) ÷ (x− 5)
5x – 5
X+5
X – 30
x-5
3
Day 1 – Category 1
15.
16.
Answers:
1. D
2. C
3. B
4. D
5. D
6. C
7. 3X2 – 9X – 14
8. D
9. B
10. C
11. A
12. C
13. A
14. D
15. C
16. A