Home
Add Document
Sign In
Register
Chapter Review
Home
Chapter Review
Undo the subtraction. Solve the inequality. Graph the solution. 11. 6q < â18. 12. â r. â. 3. ⤠6. 13. â4 > â. 4. â. 3 s. 4.3 Solving Ine...
0 downloads
82 Views
988KB Size
DOWNLOAD
Recommend Documents
No documents
4
Chapter Review Vocabulary Help
Review Key Vocabulary inequality, p. 126 solution of an inequality, p. 126
solution set, p. 126 graph of an inequality, p. 127
Review Examples and Exercises 4.1
Writing and Graphing Inequalities
(pp. 124–129)
1 4
a. Six plus a number x is at most −—. Write this word sentence as an inequality. 1 4
Six plus a number x is at most −— . 6+x
1 4
≤
−— 1 4
An inequality is 6 + x ≤ −— . b. Graph m > 3. Step 1: Use an open circle because 3 is not a solution. Ź2
Ź1
0
1
2
Step 2: Test a number to the left of 3. m â 2 is not a solution.
3
Step 4: Shade the number line on the side where you found the solution. 4
5
6
7
8
9
Step 3: Test a number to the right of 3. m â 4 is a solution.
Write the word sentence as an inequality. 1. A number w is greater than −3. 1 2
3 2
2. A number y minus — is no more than −—. Tell whether the given value is a solution of the inequality. 3. 5 + j > 8; j = 7
4. 6 ÷ n ≤ −5; n = −3
Graph the inequality on a number line. 5. q > −1.3
3 4
6. s < 1—
7. BUMPER CARS You must be at least 42 inches tall to ride the bumper cars at an amusement park. Write an inequality that represents this situation.
Chapter Review
153
4.2
Solving Inequalities Using Addition or Subtraction
(pp. 130–135)
Solve −5 < m − 3. Graph the solution.
Undo the subtraction.
−5 < m − 3
Write the inequality.
+3
Addition Property of Inequality
+3
−2 < m
Simplify.
The solution is m > −2. m Ź2 Ź4
Ź3
Ź2
Ź1
1
0
2
4
3
m â Ź3 is not a solution.
5
6
m â 3 is a solution.
Solve the inequality. Graph the solution. 8. d + 12 < 19
4.3
9. t − 4 ≤ −14
10. −8 ≤ z + 6.4
Solving Inequalities Using Multiplication or Division
(pp. 138–145)
c −3
Solve — ≥ −2. Graph the solution. c −3 c −3 — ≤ −3 (−2) −3 — ≥ −2
⋅
Undo the division.
Write the inequality.
⋅
Use the Multiplication Property of Inequality. Reverse the inequality symbol.
c ≤ 6
Simplify.
The solution is c ≤ 6. cb6 0
1
2
3
4
5
c â 3 is a solution.
6
7
8
9
10
c â 9 is not a solution.
Solve the inequality. Graph the solution. 11. 6q < −18
154
Chapter 4
Inequalities
r 3
12. −— ≤ 6
4 3
13. −4 > −— s
4.4
Solving Two-Step Inequalities
(pp. 146 –151)
a. Solve 6x − 8 ≤ 10. Graph the solution. 6x − 8 ≤ 10 +8
Step 1: Undo the subtraction.
+8
Addition Property of Inequality
6x ≤ 18
Simplify.
6x 6
Division Property of Inequality
— ≤
Step 2: Undo the multiplication.
Write the inequality.
18 6
—
x≤3
Simplify.
The solution is x ≤ 3. xb3 Ź3
Ź2
Ź1
1
0
2
3
x â 0 is a solution.
4
5
6
7
x â 5 is not a solution.
q −4
b. Solve — + 7 < 11. Graph the solution. q −4
—+7 <
Step 1: Undo the addition.
11
−7
−7
q −4
4
— <
⋅ −4q
Write the inequality. Subtraction Property of Inequality Simplify.
⋅
−4 — > −4 4
Step 2: Undo the division.
q > −16
Use the Multiplication Property of Inequality. Reverse the inequality symbol. Simplify.
The solution is q > −16. q Ź16 Ź22 Ź20 Ź18 Ź16 Ź14 Ź12 Ź10
q â Ź20 is not a solution.
Ź8
Ź6
Ź4
Ź2
q â Ź12 is a solution.
Solve the inequality. Graph the solution. z −2
14. 3x + 4 > 16
15. — − 6 ≤ −2
17. 7(q + 2) < −77
18. −—( p + 9) ≤ 4
1 3
16. −2t − 5 < 9 19. 1.2( j + 3.5) ≥ 4.8
Chapter Review
155
×
Sign In
Email
Password
Remember me
Forgot password?
Sign In
Login with Facebook
Login with Google