Chapter 1 and 2

Chapter 1 and 2
Sample Test for Intermediate Algebra MAT1033
Name
(Note to Instructor: Add writing questions, bonus problems, and optional material as you choose. This is a sample test., do
not copy and give this test to students).
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
List all the elements of B that belong to the given set.
5
6
1) B = 6, 7, -2, 0, , - , 4.3, 4
6
5
1)
Whole numbers
C) 6, 0,
B) 6, 0
4
D) 6, -2, 0,
4
E
A) 6, -2, 0
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Find the absolute value.
2) -|-18|
2)
PL
Find the opposite (or additive inverse) of the number.
9
3)
5
3)
Write the reciprocal (or multiplicative inverse) of the number if it exists.
9
4) 5
SA
M
Use a commutative property to write an equivalent expression.
5) 2x + y
4)
5)
Evaluate.
6) -8 2
Find the indicated root.
1
7)
16
6)
7)
Insert <, >, or = between the pair of numbers to form a true statement.
-19
8) -17
8)
List the elements of the set.
9) If A = {39, 40, 41, 44} and B = {37, 39, 40, 42}, list the elements of A B.
9)
Solve the compound inequality. Graph the solution set and Write your answer in Interval Notation.
10) x 1 and x -1
10)
1
Simplify the expression.
|10(-2)| - |1 - 6|
11)
-12
11)
12) 7 3 - (-4)2
12)
3
13) ( 64)(-2) - ( 25)(-9)
13)
Find the value of the algebraic expression at the given replacement value.
when x = -2, y = -4
14) -x2 - 3y
when x = -3, y = 5
Simplify the expression.
16) -(10v - 6) + 10(2v + 10)
Solve the equation.
17) 6(k - 1) - (5k - 9) = -6
18) 7(x - 3) - 17 = 9x - 2(x - 8)
2x x
- =2
5
3
15)
16)
17)
18)
19)
SA
M
19)
E
y - 3x
7x + xy
PL
15)
14)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
20) 4(3x + 20) = 12x + 80
5
A)
3
20)
B) all real numbers
C)
D)
20
3
Solve the formula for the specified variable.
1
for b
21) A = h(B + b)
2
A) b = 2A - Bh
B) b =
2A - Bh
h
C) b =
21)
2A + Bh
h
D) b =
A - Bh
h
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Solve.
22) The population of a town increased by 70% in 5 years. If the population is currently15,000,
find the population of this town 5 years ago. (Round to the nearest whole, if necessary.)
22)
23) The difference of a number and 9 is the same as 47 less the number. Find the number.
23)
2
24) It took Sara's mother 3 hours round trip to drive to the University and bring Sara back
1
home for spring break. If the University is 124 miles from home, find her mother's
2
24)
average speed.
25) The sum of three consecutive even integers is 336. Find the integers.
25)
26) A student scored 73, 71, and 97 on three algebra tests. What must he score on the fourth test
in order to have an average grade of at least 85?
26)
Write the solution set using interval notation.
27) -2(y - 5) -4y + 10
E
27)
29) 2
3t - 4
29)
17
11 or 7x + 3
-25
30)
SA
M
30) -5x + 1
PL
Solve the compound inequality. Graph the solution set and then write the solution in Interval Notation.
28) x + 5 < 6 and -5x < -25
28)
Solve the absolute value equation.
31) |3x + 5| = 7
31)
32) |2x + 4| + 8 = 6
32)
33) |8x + 7| = |x + 6|
33)
Solve the inequality. Graph the solution set and then write your solutio in Interval Notation.
34) |x - 6| - 2 7
34)
Solve the inequality. Graph the solution set.
35) |5k + 8| + 2 > 11
35)
3