CLEP. College Algebra

Question 1

CLEP. College Algebra. If b and c are constants and x2+bx+c=(x+3)(x−5) for all values of x, what is the value of b?

• ○ -5
• ○ -2
• ● 3
• ○ 8
• ○ 15

---

Question 2

(6x3−3x2+2x)−(8x3−3x+4)=

• ○ −2x3+3x2+5x−4
• ○ −2x3−3x2−x+4
• ● −2x3+2x−4
• ○ −2x3+2x+4
• ○ −2x6−6x2−2x

---

Question 3

If ab=0 , which of the following is equivalent to (8ab5)(−7a−3b2) ?

• ○ a4b9​
• ○ −7a48b9​
• ● −a356b14​
• ○ −a456b9​
• ○ −56a5b14

---

Question 4

(3a−2b)2=

• ○ 9a2−4b2
• ○ 9a2+4b2
• ○ 9a2−6ab−4b2
• ○ 9a2−6ab+4b2
• ● 9a2−12ab+4b2

---

Question 5

Which of the following is equal to a1/2b1/3a1/4b−2/3 , where a>0 and b>0 ?

• ● b1/3a3/4​
• ○ b2/9a1/8​
• ○ −a3/4b1/3
• ○ −a1/8b2/9
• ○ −a3/4b

---

Question 6

If 2a−b3​=0 , which of the following equals the reciprocal of 2a−b3​ ?

1. ○ −2ab3​
2. ○ 6ab2−3ab​
3. ○ 6ab3−2ab​
4. ○ 2ab−3a​
5. ● 2ab−3b

Question 7

If log(x−a)=2 , then x is equal to which of the following?

• ○ a+20
• ● a+100
• ○ 100a
• ○ 10a+2
• ○ a2

---

Question 8

Which of the following is equivalent to x3−y3 ?

• ○ (x−y)(x2−xy−y2)
• ○ (x−y)(x2−xy+y2) CLEP. College Algebra
• ● (x−y)(x2+xy+y2)
• ○ (x+y)(x2−xy−y2)
• ○ (x+y)(x2−xy+y2)

---

Question 9

If 2x=22​​ , what is the value of x ?

• ○ −1
• ● −21​ CLEP. College Algebra
• ○ −41​
• ○ 41​
• ○ 21​

---

Question 11

For 1≤x≤2 , the expression ∣x−1∣+∣x−2∣ is equivalent to which of the following?

• ○ 3−2x
• ○ 2x−3
• ○ 2x+3
• ● 1
• ○ 0

---

Question 12

If x+2 is a factor of the trinomial 4x2+kx−6 , what is the value of k ?

• ○ −5
• ○ −3
• ○ 3
• ● 5
• ○ 8

---

Question 13

Where defined, which of the following is equivalent to log3​(x+7)log3​(3x+21)​ ?

• ○ 1
• ● 3
• ○ log3​(x+7)1​+1
• ○ log3​(x+7)1​+3
• ○ log3​(x+7)3​

Question 14

Which of the following expressions is equivalent to ((a2b)3c)5 ?

• ○ a8b8c5
• ○ a8b15c5
• ○ a10b8c5
• ○ a10b15c3
• ● a30b15c5

---

Question 15

In the equation shown, k is a nonzero real constant. Which of the following must be true about the solutions to the equation?

k2x2+6kx+9=0 CLEP. College Algebra

• ● The equation has a single real solution.
• ○ The equation has a single nonreal solution.
• ○ The equation has two distinct real solutions.
• ○ The equation has two distinct nonreal solutions.
• ○ The equation has no solutions.

---

Question 16

What is the slope of the line in the xy -plane given by the equation 18y−3x+40=0 ?

• ○ 6 CLEP. College Algebra
• ○ 920​
• ● 61​
• ○ −3
• ○ −6