Download ExamView - Algebra 1 Sem 1 FINAL review Ch. 1.tst

Name: ____________________________________________ Date: ________________________ Period: _______
Algebra 1 Final Review Fall: Chapter 1
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Which is an example of the Distributive Property?
a. (5 − 2) + 3 = (−2 + 5) + 3 b. 5(2 − 3) = 5 × 2 − 5 × 3 c. (5 − 2) + 3 = 5 + (−2 + 3) d. (5 − 2) − 3 = 0
____
2. Which equation is equal to 2y = 4 + 3(8 − 22)?
a. 2y = 16 b. 2y = 24 c. 2y = 112 d. 2y = 84
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3. Which is the solution of 4(3x – 2) – (4x – 3) = 11?
4
1
c.
d. 2
a. 1 b. 1
3
4
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4. For which set of numbers is the inequality x2 ≥ x true ?
a. real numbers b. rational numbers c. integers d. all of the above
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5. Which is a counterexample for the conjecture “the difference between two negative integers is always
positive?”
a. –7 – 2 = –9 b. 7 – 4 = 3 c. –5 – (–2) = –3 d. –5 – (–7) = 2
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6. What is the domain of the function given by {(5, 0), (−1, 2), (3, 2), (6, 7)}?
a. {0, 2, 7} b. {−1, 2, 5, 7} c. {2, 3, 6, 7} d. {−1, 3, 5, 6}
____
7. Which values of w represent the solution set of the inequality 6(2w + 1) – 7(3w + 2) < 10?
7
10
a. w < –2 b. w > –2 c. w < − d. w >
9
9
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8. What is the missing property?
a + [b + (–a)] = a + [(–a) + b]
= [a + (–a)] + b
=0+b
=b
Commutative Property
Associative Property
Additive Inverse Property
______?______
a. Distributive Property b. Transitive Property c. Zero Property d. Additive Identity Property
____
9. When is the equation |a − b| = |a| − |b| true?
a. always b. never c. sometimes d. only if a = b
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____ 10. What is the opposite of the reciprocal of – ?
5
| 4|
4
5
5
a.
b. – c.
d. | − |
5
4
4
| 5|
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Name: ________________________
Write an algebraic expression for each verbal expression.
____ 11. the sum of 6 and z
a. z × 6 b. 6 ÷ z c. 6 + z d. 6 – z
____ 12. 42 less the product of 2 and x
a. 42 + 2x b. 42 ÷ 2x c. 42 – 2x d. 2x × 42
Write a verbal expression for the algebraic expression.
____ 13. 12x
a. the sum of x and 12 b. the difference of 12 and x c. the product of 12 and x d. the quotient of 12 and
x
____ 14. 4 5
a. 4 times 5 b. four to the fifth power c. 4 divided by 5 d. five to the fourth power
____ 15. 9m4 + 7n 2
a. 9 times m to the fourth power decreased by 7 times n squared b. the difference of 9 times m to the
fourth power and 7 times n squared c. 9 times m to the fourth power increased by 7 times n squared
d. the quotient of 9 times m to the fourth power and 7 times n squared
____ 16. 5x 4 ÷ 6
a. six divided by 5 times x to the fourth power b. the quotient of 5 times x to the fourth power and 6
c. the product of 5 times x to the fourth power and 6 d. the sum of 5 times x to the fourth power and 6
Evaluate the expression.
____ 17. 2 + 2 (2) (5) + 8
a. 50 b. 106 c. 88 d. 90
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____ 18. 54 – 3(8 – 4)
a. 204 b. 42 c. 26 d. 90
____ 19. Evaluate the following expression if a = 12, b = 5, and c = 4.
3c + bc – 2a
a. 67 b. 132 c. 8 d. 84
____ 20. Evaluate the following expression if x = 12, y = 8, and z = 6.
x 2 y − 2z
4
a. 1140 b. 21 c. 285 d. 1296
2
Name: ________________________
____ 21. Solve the equation.
6 (14 − 8)
a=
+ 10
2 (8) + 2
a. 20 b. 12 c. 14 d. 2
Name the property used in the equation. Then find the value of n.
____ 22. 11n = 11
a. Multiplicative Identity; 1 b. Multiplicative Identity; 0 c. Additive Identity; 1
d. Multiplicative Inverse; 1
____ 23. 4(7n) = 4
a. Multiplicative Identity;
1
7
b. Additive Inverse;
1
4
c. Multiplicative Inverse;
1
4
d. Substitution;
Use the Distributive Property to find the product.
Ê 1ˆ
____ 24. 15 ÁÁÁ 2 5 ˜˜˜
Ë ¯
a. 37 b. 30 c. 33 d. 35
Simplify the expression.
____ 25. 3 ÊÁË 1.8x + 2.6y ˆ˜¯ + 4 ÊÁË 3.3x + 4y ˆ˜¯
a. 18.6x + 19.8y b. 16.8x + 23.8y c. 18.6x + 23.8y d. 23.8x + 18.6y
____ 26. 9x + 8 (6x + 2)
a. 57x + 10 b. 57x + 2 c. 57x + 16 d. 15x + 10
Identify the hypothesis and conclusion of the statement. Then write the statement in if-then form.
____ 27. We are going to the movies Friday evening.
a. H: it is Friday
C: we are going to the mall
If it is Friday, then we are going to the mall.
b. H: it is Friday evening
C: we are going to the movies
If it is Friday evening, then we are going to the movies.
c. H: it is Saturday night
C: we are going to the movies
If it is Saturday night, then we are going to the movies.
d. H: we are going to the movies
C: it is Friday evening
If we are going to the movies, then it is Friday evening.
1
1
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Name: ________________________
____ 28. The quarterback must try out for the football team.
a. H: a person tries out for the football team
C: the person is going to be the quarterback
If a person tries out for the football team, then the person is going to be the quarterback.
b. H: a person is going to be the quarterback
C: the person must be a fast runner
If a person is going to be the quarterback, then the person must be a fast runner.
c. H: a person tries out for the football team
C: the person must have excellent grades
If a person tries out for the football team, then the person must have excellent grades.
d. H: a person is going to be the quarterback
C: the person must try out for the football team
If a person is going to be the quarterback, then the person must try out for the football
team.
Find a counterexample for the statement.
____ 29. If it is a day in July, then the temperature is over 90°.
a. July 12 -- 93° b. August 4 -- 95° c. July 17 -- 87° d. November 9 -- 46°
____ 30. If you study for at least two hours, then you will earn 100% on your math test.
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a. Studied 2.5 hours -- 97% b. Studied 125 minutes -- 100% c. Studied 1 4 hours -- 100 % d. Studied 1
hour -- 57%
____ 31. If you attend all 15 days of basketball tryouts, then you will make the team.
a. Attended 14 days -- Made the team b. Attended 15 days -- Made the team c. Attended 11 days -- Cut
from team d. Attended 15 days -- Cut from team
Name the sets of numbers to which each number belongs.
____ 32.
____ 33.
20
a. Real, rational, integer, and whole b. Real, rational, and integer c. Real and irrational d. Real and
rational
−35
7
a. Real and irrational b. Real, rational, and integer c. Real, rational, integer, and whole
d. Real and rational
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