Precalculus

Chapter 1 Test

Question 1 Solve. 4(x – 2)+6x=12

a. 7 2

b. 2 5

c. 1 d. 2

Question 2 Solve. 20+10(x – 7)=5(x+4)+5x

a. 7

20 b.

7 2

c. − 7 2

d. No solution

Question 3 Solve. 5

y+4 +

11 y2+y−12

= 7

y−3

a. 16 b. –16 c. 2 d. –2

Question 4 How much pure antifreeze must be added to 12 gallons of 20% antifreeze to make a 40% antifreeze solution?

a. 2 gallons b 4 gallons c. 6 gallons d. 8 gallons

Question 5 Write without absolute value signs. ∣√10−11∣

a. √10−11 b. 11−√10

Question 6 Write as an absolute value inequality. x is more than 6 units from 5.

a. ∣x−5∣>6 b. ∣x−5∣≥6 c. ∣x+5∣>6 d. ∣x+5∣≥6

Question 7 Solve. ∣x – 3∣=8

a. 11, 5 b. 11, –5 c. –11, –5 d. –11, 5

Question 8 Solve. Write the answer in interval notation. ∣12 – 5x∣<22

a. (−∞,−2)∪( 34 5

,∞) b. (−∞,− 34 5

)∪(2, ∞) c. (−2, 34 5

) d. (− 34 5

, 2)

Question 9 Solve. ∣2x – 11∣=9

a. 10, 1 b. 10, –1 c. –10, 1 d. –10, –1

Question 10 Subtract. Write the result in standard form. (– 6 – 7i)–(8 – 10i)

a. – 14+3i b. – 14 – 7i c. – 31i d. – 11i

Question 11 Multiply. Write the result in standard form. 7i( – 1+2i)

a. – 5i b. – 21i c. – 14 – 7i d. 14 – 7i

Question 12 Multiply. Write the result in standard form. (3 – 5i)(3+5i)

a. – 16 – 30i b. 34+30i c. –16 d. 34

Question 13 Divide and write your answer in standard form. 11

4+3i

a. 11 4

+ 11 3

i b. 44 25

− 33 25

i c. 44 7

− 3 7

i d. 44 25

− 3

25 i

Question 14 Fill in the blank so the result is a perfect square trinomial.

Then factor into a binomial square. x2+9x+?

a. 9 2

;(x+ 94 ) 2

b. 81 ;(x+9)2 c. 81 4

;(x+ 92 ) 2

d. 81 2

;(x+ 92 ) 2

Question 15 Solve by factoring. 3x2=– 18x

a. 0, –6 b. 0, 6 c. 6, –6 d. 2, 6

Question 16 Solve by using the square root property. (x + 4)2 = 3

a. ±√5 b. 4±√3 c. −4±√3 d. 4±i√3

Question 17 Solve by completing the square x2+4x – 2=0

a. ±34 b. ±√34 c. 2±√6 d. −2±√6

Question 18 Solve by completing the square. x2 – 6x – 2=0

a. 3±√7 b. −3±√7 c. 3±√11 d. −3±√11

Question 19 Solve. 9x2=– 5x

a. -5/9 b. -9/5 c. -5/9 , 0 d. -9/5 , 0

Question 20 Solve. √5x+1−1=3x

a. 0, -1/9 b. 0, 1/9 c. 0 d. No solution