Algebra 2 Online (Teaching Textbooks)
First Quarter Test 2
(Test includes material up to Lesson 21. Take after Lesson 21.)
Fill in the blanks.
1. (L16) When all the factors in a numerator cancel, then a(n) _____ is put in their place.
A. 1
B. 0
C. x
D. denominator
E. None of the above
2. (L18) To divide fractions, you just divide the _____.
A. numerators and denominators
B. denominators and numerators
C. denominator over 0
D. numerator over 0
E. None of the above
1 1
3. (L19) The LCD of and is _____.
4x 6x
A. 24x
B. 18x
C. 48x
D. 36x
E. None of the above
Select the correct expression for each of the following phrases.
4. (L16) 5[8 – (–2 + 3)], all subtracted from –2:
A. 5[8 – (–2 + 3)] + 2
B. 5[8 – (–2 + 3)] – 2
C. –2 – 5[8 – (–2 + 3)]
D. 2 – 5[8 – (–2 + 3)]
E. –2 + 5[8 – (–2 + 3)]
5. (L16) 3 + 8(4 – 7), all divided by –5:
3 + 8 (4 − 7)
A.
5
3 + 8 (4 − 7)
B.
−5
8(4 − 7) − 3
C.
5
3
D. + 8(4 − 7)
−5
8 (4 − 7)
E. 3 +
−5
For each question below, tell whether the two expressions are equivalent.
4 + 10x
6. (L17) and 2 + 5x
2
A. Equivalent
B. Nonequivalent
4 + 10x
C. is greater than 2 + 5x
2
D. It depends on what x is.
E. None of the above
y 7y
7. (L13) 8 y− and
3 3
A. Equivalent
B. Nonequivalent
7y y
C. is greater than 8 y−
3 3
D. It depends on what y is.
E. None of the above
Solve each equation below. Indicate any false equations or identities. Make sure the answer
is fully reduced.
8. (L12) –2[3(x + 2) – 4x] = 2
A. Identity
B. False equation
C. 7
D. 14
E. None of the above
9. (L14) 5x + 3 = –8x + 29
A. Identity
B. False equation
C. –2
D. 2
E. None of the above
9 + 3x
10. (L13) =−12
4
A. Identity
B. False equation
C. –13
D. –19
E. None of the above
11. (L14) 2(4 + x) + 3x = 5x
A. Identity
B. False equation
C. 0
D. 8
E. None of the above
Select the simplified form of each expression below.
4 x−2 x −3
12. (L19) +
x 3x
5x−5
A.
4x
13x−5
B.
3x
5x−3
C.
3x
13x−9
D.
3x
7x−5
E.
4x
x−4 x
13. (L19) −
x+2 2x + 4
x−8
A.
2x + 4
−4
B.
3x + 6
3x − 4
C.
2x + 4
3x − 8
D.
2x + 4
x−4
E.
2x + 4
14. (L12) –5[3(2 + x) – 2x]
A. 4x – 5
B. 5x + 30
C. –25x + (–30)
D. –5x + (–30)
E. –13x + 6
Calculate the value of each expression below.
15. (L5) –3(10) + (–2)(4)
A. –48
B. –38
C. –24
D. –35
E. None of the above
16. (L12) 3[–12 + 4(5 – 8)]
A. –48
B. –24
C. –72
D. –79
E. None of the above
−8 + (−12)
17. (L5)
−3 + (−2)
A. 8
B. –6
C. 5
D. 4
E. None of the above
Select the simplified form of each expression below.
3x + 15
18. (L17)
7x + 35
7
A.
3
3
B.
7
1
C.
4 x + 20
D. 10x + 40
5
E.
7
7 18x
19. (L18) ⋅
9x 35
5
A.
4
9x
B.
28
2
C.
5
17
D.
2
3
E.
8
9 12x
20. (L18) ÷
5x + 15 x+3
21
A.
6x + 18
3x + 9
B.
4 x + 12
12 x
C.
5
1
D.
5x
3
E.
20 x
Solve each equation below. Indicate any false equations or identities. Make sure the answer
is fully reduced.
12
21. (L20) =2
7x
6
A.
7
7
B.
6
6
C.
14
12
D.
14
14
E.
12
3 8
22. (L21) =
5x 4x −3
9
A.
28
28
B.
9
9
C. −
28
28
D. −
9
3
E.
7
4 x 2x 2
23. (L21) + =
5 15 3
3
A.
7
3
B. −
7
7
C. −
15
7
D.
15
5
E.
7
5 3 7
24. (L21) − =
x+4 2x + 8 2
2
A.
7
2
B. −
7
7
C.
40
D. 3
E. –3
Translate the word problem below into an equation, then solve.
25. (L15) Charlie and Joe met at the movie theater to see the latest summer blockbuster. After it
was over, they headed home in opposite directions. Charlie walked home briskly at 6 miles per
hour, while Joe took a cab that traveled at 40 miles per hour. In how many hours will they be
23 miles apart?
3
A. hour
5
1
B. hour
2
C. 1 hour
D. 2 hours
E. None of the above
End of Test
