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Algebra II – Chapter 1 Review
Name _______________________ Per ___
1. List │–5│, (–4)2, 2-5, -5÷2 in order from least to greatest.
3. Name the property.
a._________________________________
2. Simplify 5 · 32 – 2(4 + 6).
a+b=b+a
1 
  2 1
2 
1 abc  abc
b.__________________________________
c.__________________________________
(12  4) x  12(4 x)
d.__________________________________
4. Simplify │8 – 13│ – │–7 – (–3) + 1│.
5. Simplify – (–1)3(–2)2
6. Evaluate 7 – 2x – x2 if x = – 3
7. Solve
8. Solve 6(5x – 4) = 7(4x + 5) – 19
9. Solve 3z + 7 ≤ 4z and 3z + 7 > – 4z
10. Solve
r 3
r 6
 r  1 or
r4
6
3
3
x – 7 = 2x + 3
2
11. Solve and Graph 3(2y + 1) < 2(y – 3) + 1
12. Solve and Graph –3 < 4 – m < 6
13. Solve and Graph –2n ≥ 8 or n + 3 < 7
14. Solve │9 – 2k│= 5
c
15. Solve & Graph │  1 │> 2
3
16. Solve & Graph │4f + 3│≤ 5
17. Solve & Graph 8x  2  14
Write an absolute value inequality for each graph.
18.
19.
20.
21.
Write an algebraic expression for each verbal expression.
22. The difference between the product of four and a number and 6
23. Fifteen less than the cube of a number
24. Solve & Graph x  1  6  3
25. Solve & Graph  67  3  7 x  45
26. Rachel is considering colleges to attend and determines that the average tuition among her choices is $3725
per year, but the tuition at a school could differ by as much as $1650 from the average. Write and solve an
absolute value inequality to find the range of tuition.
***KNOW THE PROPERTIES OF REAL NUMBERS!!!
Answers: 1) -3, -2.5, 5, 16 2) 25 3) a. comm. of addition b. multiplicative inverse c. mult. identity
d. Assoc. prop. of multp. 4) 2 5) 4 6) 4 7) {-20} 8) {20} 9) {z: z ≥ 7} 10) {r: r ≥-9}
11) {y: y < -2}
12) {m: -2 < m < 7}
13) {n: n< 4}
3
14) {2, 7} 15) {c: c < -9 or c > 3} 16) {f: -2 ≤ f ≤ 0.5} 17) x  2 or x  
18) x  6  2
2
19) x  4  12
20) x  5  4 21) x  1  3 22) 4n  6
23) x 3  15 24)  1  x  5
25)  10  x  6
26) x  3725  1650 ; $2075  x  $5375