CHAPTERS 1–7 Cumulative Review Exercises 425
1.Evaluate for and
Solve each equation or inequality.
Solve each problem.
6.Abushieba Ibrahim invested some money at 4% interest and twice as much at 3% interest.
His interest for the first year was $400. How much did he invest at each rate?
7.A triangle has area The base is 14 m long. Find the height
of the triangle.
8.Graph and give the intercepts.
Find the slope of each line described in Exercises 9 and 10.
9.Through and 10.Perpendicular to
11.Write an equation of the line in Exercise 9.Give the equation in the form
Graph the solution set of each inequality.
- and
14.Decide whether the relation is a function, and give its domain and range.
15.Suppose that and
(a)Find the equation that defines That is,.
(b)Find ƒ 112.
ƒ 1 x 2. ƒ 1 x 2 =
y=ƒ 1 x 2 5 x- 3 y=8.
y=-x+ 2
2 x+ 5 y 710 x-yÚ 3 3 x+ 4 y... 12
y=mx+b.
1 - 5, 8 2 1 - 1, 2 2 4 x- 3 y= 12
- 4 x+ 2 y= 8
42 m^2.
| 3 x+ 2 | Ú 4
2
3
y+
5
12
y... 20
712 x+ 32 - 412 x+ 12 = 21 x+ 12 | 6 x- 8 |- 4 = 0
| 2 x|+ 3 y-z^3 x=-4,y=3, z=6.
CUMULATIVE REVIEW EXERCISES
CHAPTERS 1–7
14 m
h
Solve each system.
2 x+ 4 y+ 2 z= 11
x- y+ z= 3
x+ 2 y+ z= 5
3 x+ 2 y- 3 z=- 3
2 x- y+ z=- 6
x+ y- 2 z=- 1
5 x+ 2 y= 1
4 x- y=- 7
19.With traffic taken into account, an automobile can travel 7 km, on the average, in the
same time that an airplane can travel 100 km. The average rate of an airplane is 558 km
per hr greater than that of an automobile. Find both rates. (Source:Schafer, Andreas, and
David Victor, “The Past and Future of Global Mobility,” Scientific American.)
20.Simplify. Write the answer with only positive exponents. Assume
that all variables represent nonzero real numbers.
Perform the indicated operations.
23.a 24. 13 x^3 + 13 x^2 - 17 x- 72 , 13 x+ 12
1
4
x+ 5 b
2
13 y^2 - 2 y+ 62 - 1 - y^2 + 5 y+ 122 1 4ƒ+ 321 3ƒ- 12
a
m-^4 n^2
m^2 n-^3
b #a
m^5 n-^1
m-^2 n^5
b