Download Problem Set 3 – Algebra 2

Problem Set 3 – Algebra 2
Please answer the following questions. Show your work and circle your answer. (2 points each)
1. Solve. |5x – 7| = 16
2. Simplify. (DO NOT SOLVE. There is no equal
sign so there is nothing to solve!)
8(x – 2y) – (3x – y) + 6(y – 5x)
3. Solve for W. B 
6
(10  W )
7
5. The equation below is an example of the ____
property of multiplication. Explain why.
(x + 3)(y – 2) = (y – 2)(x + 3)
F) associative
G) commutative
H) distributive
J) inverse
4. Solve. 0  28 
7
y
3
6. Which of the following demonstrates the
identity property of addition? Explain why.
A)
B)
C)
D)
5a + (9b + 4c) = (9b + 4c) + 5a
8df + (-8df) = 0
10g(3h + 2) = 30gh + 20g
26jk + 0 = 26jk
7. Write the slope-intercept form of the equation 8. Evaluate. –2w2 + 3w2 – (w + 7) when w = -3.
that is parallel to 8x – 9y = 24 and passes through
the point (-5, 7). (Hint: Solve for y = first. What
would the parallel slope be?)
9. Find the slope and y-intercept of the equation
of the line 2x – 9y = 72.
2  3x if : x  4
10. Given f (x)  
, evaluate
 x  8 if : x  4
f(-7).

Slope:_______
y-intercept:___________
Graph the following functions.
2
11. y   x  9
5
12. y 
4 x  25
5
Hint: Simplify!

13. 3x  8 y  24
14. y  x  7  3
15. x = 7
16. 8x  5 y  40

 1 x
if : x  3
17. g(x)   3

2x  2 if : x  3
18. y  3 x  8
(4 points)