1001 Algebra Problems.PDF

304.Which of the following describes a possible
scenario?
a.Points of the form (x,2x), where x0, are in
the solution set of the linear inequality yx.
b.The solution set of a linear inequality can
intersect all four quadrants.
c.The solution set of a linear inequality
y– 2x< –1 includes points on the line
y= 2x–1.
d.Points of the form (8,y) satisfy the linear
inequality x8.

Set 20 (Answers begin on page 103)

Systems of 22 linear equations are solved using the
elimination method in this problem set.

305.Given that both of the following equations must
be satisfied simultaneously, use the elimination
method to determine the value ofb.

5 a+3b= –2

5 a– 3b= –38

a.–6

b.–4

c. 6

d. 12

e. 13

306.Use the elimination method to determine the

solution of the following system of linear equa-

tions:

• x+ 3y= 11
  x– 5y= –3

a.x= 17,y= 4

b.x=1,y= 4

c.x= 1,y= –4

d.x= –23,y= –4

307.Given that both of the following equations must

be satisfied simultaneously, use the elimination

method to determine the value ofx.

3(x+4) – 2y= 5

2 y – 4 x =8

a.–2

b.–1

c. 1

d. 13

d. 15

308.Given that both of the following equations must

be satisfied simultaneously, use the elimination

method to determine the value ofx.

2 x+ y=6

 2 y+ 4x= 12

a.–2

b. 0

c. 1

d. 3

e. 6

309.Given that both of the following equations must

be satisfied simultaneously, use the elimination

method to determine the value ofxy.

4 x+ 6 = –3y

–2x+ 3 = y+ 9

a.–6

b.–1

c. 0

d. 1

e. 6

• LINEAR EQUATIONS AND INEQUALITIES–