Circle your answer.
  1. ( 3 0 ) ( 3 − 2 ) ( 3 2 ) = 3 0 3 − 2 3 2 = (3^(0))(3^(-2))(3^(2))=\left(3^{0}\right)\left(3^{-2}\right)\left(3^{2}\right)=(30)(3−2)(32)=
    A. 3
    B. 1
    C. 9
    D. 0
  2. y 8 ÷ y 2 = ( y ≠ 0 ) y 8 ÷ y 2 = ( y ≠ 0 ) y^(8)-:y^(2)=quad(y!=0)y^{8} \div y^{2}=\quad(y \neq 0)y8÷y2=(y≠0)
    A. y 6 y 6 y^(6)y^{6}y6
    B. y 4 y 4 y^(4)y^{4}y4
    C. y 10 y 10 y^(10)y^{10}y10
    D. 1 y 6 1 y 6 (1)/(y^(6))\frac{1}{y^{6}}1y6
  3. ( 3 q 2 ) 3 = 3 q 2 3 = (3q^(2))^(3)=\left(3 q^{2}\right)^{3}=(3q2)3=
    A. 3 q 6 3 q 6 3q^(6)3 q^{6}3q6
    B. 3 q 5 3 q 5 3q^(5)3 q^{5}3q5
    C. 9 q 6 9 q 6 9q^(6)9 q^{6}9q6
    D. 27 q 6 27 q 6 27q^(6)27 q^{6}27q6
  4. P 3 N − 2 N 2 P 4 = P 3 N − 2 N 2 P 4 = (P^(3)N^(-2))/(N^(2)P^(4))=\frac{\mathrm{P}^{3} \mathrm{~N}^{-2}}{\mathrm{~N}^{2} \mathrm{P}^{4}}=P3 N−2 N2P4=
    A. P − 1 P − 1 P^(-1)\mathrm{P}^{-1}P−1
    B. P N 4 P N 4 (P)/(N^(4))\frac{\mathrm{P}}{\mathrm{N}^{4}}PN4
    C. 1 N 4 P 1 N 4 P (1)/(N^(4)P)\frac{1}{N^{4} P}1N4P
    D. N 4 P − 1 N 4 P − 1 N^(4)P^(-1)\mathrm{N}^{4} \mathrm{P}^{-1}N4P−1
  5. If 3 Y − 1 = 81 3 Y − 1 = 81 3^(Y-1)=813^{Y-1}=813Y−1=81, what is the value of Y Y YYY ?
    A. 5
    B. 4
    C. 3
    D. 2
  6. If X X XXX is an integer, which of the following could not equal X 5 X 5 X^(5)X^{5}X5 ?
    A. 0
    B. -1
    C. 16
    D. 32
  7. The greatest common factor of A 2 B 4 + B 3 A A 2 B 4 + B 3 A A^(2)B^(4)+B^(3)AA^{2} B^{4}+B^{3} AA2B4+B3A is:
    A. A B 3 A B 3 AB^(3)A B^{3}AB3
    B. A B A B ABA BAB
    C. A 2 B A 2 B A^(2)BA^{2} BA2B
    D. A 3 B A 3 B A^(3)BA^{3} BA3B
  8. Factoring out the greatest common factor from P 2 Q + P 4 Q 2 P 2 Q + P 4 Q 2 P^(2)Q+P^(4)Q^(2)\mathrm{P}^{2} \mathrm{Q}+\mathrm{P}^{4} \mathrm{Q}^{2}P2Q+P4Q2 leaves:
    A. Q P 2 Q P 2 QP^(2)Q P^{2}QP2
    B. Q + P Q + P Q+P\mathrm{Q}+\mathrm{P}Q+P
    C. P + Q 2 P + Q 2 P+Q^(2)P+Q^{2}P+Q2
    D. 1 + P 2 Q 1 + P 2 Q 1+P^(2)Q1+\mathrm{P}^{2} \mathrm{Q}1+P2Q 9. ( − 2 + 4 ) − 2 = ( − 2 + 4 ) − 2 = (-2+4)^(-2)=(-2+4)^{-2}=(−2+4)−2=
    A. -4
    B. − 1 / 4 − 1 / 4 -1//4-1 / 4−1/4
    C. 1 / 4 1 / 4 1//41 / 41/4
    D. 4
  9. If 3 6 = 9 X , X = 3 6 = 9 X , X = 3^(6)=9^(X),X=3^{6}=9^{X}, X=36=9X,X=
    A. 1
    B. 2
    C. 3
    D. 4
Questions 1-10 on each test cover new concepts that must be mastered before moving on to the next lesson. Questions 11-15 cover concepts learned in previous courses or in previous lessons of Algebra 2. You may use these questions as a review tool.
  1. If X + 2 Y = 5 X + 2 Y = 5 X+2Y=5X+2 Y=5X+2Y=5 and X = 1 / 2 Y X = 1 / 2 Y X=1//2YX=1 / 2 YX=1/2Y, then Y = Y = Y=Y=Y=
    A. 2
    B. 1 / 2 1 / 2 1//21 / 21/2
    C. 1
    D. -2
  2. In the rhombus shown, what is the value of a a aaa ?
    A. 1
    B. 2
    C. 3
    D. 4
  1. Three intersecting lines are shown. What is the value of b + a b + a b+ab+ab+a ?
    A. 170
    B. 160
    C. 140
    D. 70
  1. A recipe requires three eggs and seven cups of flour. If 15 eggs are used, how many cups of flour are needed?
    A. 5
    B. 19
    C. 25
    D. 35
  2. What is the slope of a line that passes through the origin and the point ( − 3 , − 2 ) ( − 3 , − 2 ) (-3,-2)(-3,-2)(−3,−2) ?
    A. 2 / 3 2 / 3 2//32 / 32/3
    B. − 2 / 3 − 2 / 3 -2//3-2 / 3−2/3
    C. 3 / 2 3 / 2 3//23 / 23/2
    D. − 3 / 2 − 3 / 2 -3//2-3 / 2−3/2