Lesson 3 – Inequalities

Student Workbook Solutions (Beta Lesson 3)

algebra2_ts_lesson-01-b331259c-cd4b-4102-acda-a0402ecafd7d

Circle your answer.

$(3^{0}) (3^{- 2}) (3^{2}) =$
A. 3
B. 1
C. 9
D. 0
$y^{8} \div y^{2} = (y \neq 0)$
A. $y^{6}$
B. $y^{4}$
C. $y^{10}$
D. $\frac{1}{y^{6}}$
${(3 q^{2})}^{3} =$
A. $3 q^{6}$
B. $3 q^{5}$
C. $9 q^{6}$
D. $27 q^{6}$
$\frac{P^{3} N^{- 2}}{N^{2} P^{4}} =$
A. $P^{- 1}$
B. $\frac{P}{N^{4}}$
C. $\frac{1}{N^{4} P}$
D. $N^{4} P^{- 1}$
If $3^{Y - 1} = 81$ , what is the value of $Y$ ?
A. 5
B. 4
C. 3
D. 2
If $X$ is an integer, which of the following could not equal $X^{5}$ ?
A. 0
B. -1
C. 16
D. 32
The greatest common factor of $A^{2} B^{4} + B^{3} A$ is:
A. $A B^{3}$
B. $A B$
C. $A^{2} B$
D. $A^{3} B$
Factoring out the greatest common factor from $P^{2} Q + P^{4} Q^{2}$ leaves:
A. $Q P^{2}$
B. $Q + P$
C. $P + Q^{2}$
D. $1 + P^{2} Q$ 9. $(- 2 + 4)^{- 2} =$
A. -4
B. $- 1 / 4$
C. $1 / 4$
D. 4
If $3^{6} = 9^{X}, X =$
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.

If $X + 2 Y = 5$ and $X = 1 / 2 Y$ , then $Y =$
A. 2
B. $1 / 2$
C. 1
D. -2
In the rhombus shown, what is the value of $a$ ?
A. 1
B. 2
C. 3
D. 4

Three intersecting lines are shown. What is the value of $b + a$ ?
A. 170
B. 160
C. 140
D. 70

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
What is the slope of a line that passes through the origin and the point $(- 3, - 2)$ ?
A. $2 / 3$
B. $- 2 / 3$
C. $3 / 2$
D. $- 3 / 2$