Algebra Review WS Unit IV
For questions # 1 – 10, solve the compound inequality and graph the solution on a number line.
1) –7< 3x + 2 < 8 2) –3 < 2x + 15 < 21
3) 7 > 8 – x > 5
4) 2x < 14 or 3x > 18
7) 3x + 2 < 17 or 5x + 1 > 31
8) –2x + 1 > 15 or x + 2 > – 3
9) 12 > – 4x – 8 > – 12
5) 3x – 6 > 12 or 4x – 2 < 10
6) –5 < 3x + 7 < 10
10) 3x + 5 < – 7 or 2x + 7 > 5
For questions 11 – 14, write the equation of the line, in slope–intercept form, that passes through the two given points. SHOW ALL WORK
11) (3 , – 4), ( – 3, – 6)
12) (7, – 7) , (3, 1)
13) (5, 3) , ( 10, 7)
14) (12, – 3) , (8 ,0)
For questions 15 – 18, make sure the given equation is in slope–intercept form and then graph the line by using the y–intercept and the slope.
15) y = –
16) y = 4x
17) 3y = 4x – 9
18) y + 6 = – 2x + 11
For question #s 19 – 26, graph the linear equations.
19) y = 6
20) y = – 2
21) x = – 1
22) x = 4
23) y + 4 = 2(x –1)
24) y – 3 = ½ (x + 2)
25) y + 2 = – (x + 4)
26) y – 5 = –3(x– 2)
For questions 27 – 30, write the given linear equation in standard form and then use the shortcuts to find two of the following: x–intercept, y–intercept or slope. Finally, graph the
line.
27) – 4x + 3y = – 8
28) 5x = 2y – 15
29) 3y = 12 – 5x
30) 10 = 5y – 2x
For questions 31 & 32, graph the given linear equations.
31) y = –3
32) x = 0