Fall 2012 Semester Exam

Fall 2012 Semester Exam

Four Questions of this type.

1.Evaluate 4v+6w for v=3 and w=–2.

4(3) + 6(-2) = 12 = 0

Two Questions of this type.

Simplify the expression.

a. b.

c. d.

9a -9 + 4a – 4 = 13a - 13

Two Questions of this type.

Determine which value is a solution of the equation.

7.10x + 7 = 57

a.64 b.50 c.2 d.5

10x + 7 = 57

-7 = -7

10 x = 50

10 10

x = 5

One Question of this type.

Solve the absolute value equation.

a., b., c., d.,

5a + 3 = 5 or 5a + 3 = -5

-3 = -3 -3 = -3

5a = 2 5a = -8

5 5 5 5

a = 2/5 or a = -8/5

Three Questions of this type.

10.Find the range of the relation .

a. b.

c. d.

Four Questions of this type. Linear and Absolute Value graphs.

14.Graph the function – 4 for the domain –1. Classify the function as discrete or continuous. Then identify the range of the function.

a. /
discrete; range is
b. /
continuous;
c. /
continuous;
d. /
continuous; range is y -4.5

Three Questions of this type.

Graph the linear system and estimate the solution.

17.

a. / (1, –4)

b. / (–3, 2)

c. / (–1, –3)

d. / (3, 1)

Four Questions of this type.

Solve the linear system.

20.

Change the sign of top eq. 4x + 3y = 27

Leave 2nd Eq. as is -4x + 4y = 8

Add the 2 equations 0 + 7y = 35

7y = 35

7 7

Sub y into one of the eq. y = 5

-4x – 3(5) = -27

-4x – 15 = -27

+15 +15

-4x = -12

x = 3

a.(–5, –5) b.(–1, –5) c.(3, 5) d.no solution

22.Mr. Jarvis invests a total of $6,853 in two savings accounts. One account yields 7% simple interest and the other 6.5% simple interest. He would like to find the amount placed in each account if a total of $459.15 in interest is received after one year. Which system of linear equations below expresses this problem?

7% is .07 as a decimal

6.5% is .065 as a decimal

The total interest is $459.15

So choose b

a. / x + y = 459.15
7x + 6.5y = 6,853
b. / x + y = 6,853
0.07x + 0.065y = 459.15
c. / x + y = 459.15
0.07x + 0.065y = 6,853
d. / x + y = 6,853
7x + 6.5y = 459.15

Three Questions of this type.

Graph the system of inequalities.

24.use a test point like (0, -5)

a. b. c. d.

Three Questions of this type.

27. Which ordered triple is a solution of the system of equations?

multiply second eq. by 2, add to top eq.

16x – 8y + 4z = -2

-16x – 8y -16z = -16

0 -16y – 12z = -18

Multiply the second eq by -3 and 3rd by 2

Add the new 2nd and 3rd eq.

24x +12y +24z = 24

-24x – 8y -32z = -14

0 4y – 8z = 10

Put the 2 new equations in a system

-16y – 12z = -18 -16y – 12z = -18

4y – 8z = 10 mult by 4 16y – 32z = 40

-44z = 22

-44 -44

z = -1/2

Sub z into one of the new eq.

4y – 8(-1/2) = 10

4y + 4 = 10

-4 -4

4y = 6

y = 6/4 = 3/2

a.(, , ) b.(, , ) c.(, , ) d.(, , )

Two Questions of this type.

30.If A = and B= , find

a. b. c. d.

Five Questions of this type.

32.Graph .

a. /
b. /
c. /
d. /

36. Graph the function. Label the vertex, axis of symmetry, and x-intercepts.

a. /
vertex: (, ) AOS: x = x-int: –4, –2
b. /
vertex: (, ) AOS: x = x-int: –4, –2
c. /
vertex: (, ) AOS: x = x-int: 2, 4
d. /
vertex: (, ) AOS: x = x-int: 2, 4

Three Questions of this type.

Factor the expression.

37.

a. b. c. d.