1. What is the simplified form of the expression?
2x2 + 4y + 3x2 – 2y + 3y (1 point)
5x4 + 5y2
5x2y + 5x2y
5x2 + 5y
10x2y
2. Simplify the following expression:
2(6x + 18) (1 point)
–12x + 36
8x + 20
6x + 36
12x + 36
3. What is the product?
4 • (–5) (1 point)
–20
20
–1
–9
4. Which property is illustrated by the statement?equation (1 point)
Associative Property of Addition
Inverse Property of Multiplication
Commutative Property of Addition
Commutative Property of Multiplication
5. Which property is illustrated by the statement?
3.2 + 4 = 4 + 3.2 (1 point)
Associative Property of Addition
Commutative Property of Multiplication
Inverse Property of Multiplication
Commutative Property of Addition
6. Order the following numbers from least to greatest.
square root of two, negative two thirds, square root of eleven, 0.8, –0.2 (1 point)
square root of two, –0.2, negative two thirds, square root of eleven, 0.8
negative two thirds, –0.2, square root of two, square root of eleven, 0.8
negative two thirds, –0.2, 0.8, square root of two, square root of eleven
square root of two, square root of eleven, –0.2, negative two thirds, 5.1
7. Which number line can you use to simplify 2 – (–8)? (1 point)
number line
2 + (–8) = –10
number line
2 + (8) = 10
number line
–2 + 8 = 10
number line
2 + (–8) = 6
8. To which subsets of the real numbers does the number square root thirteen belong? (1 point)
whole numbers, integers, rational numbers
whole numbers, natural numbers, integers
rational numbers
irrational numbers
9. What sum or difference is equivalent to the expression?
9x-6/3 (1 point)
6x – 3
3x – 2
3x – 6
9x – 2
10. What is the algebraic expression for the following word phrase: the product of 6 and n? (1 point)
6 – n
6 + n
6n
start fraction n over 6 end fraction
11. What is the algebraic expression for the following word phrase: the quotient of 5 and the difference of x and z? (1 point)
5-z/x
x /5-z
z/5-x
5/x-z
12. What is the algebraic expression for the following word phrase: the quotient of y and 6? (1 point)
y + 6
y over six
6y
6 – y
13. What is the difference?
–3 – 4 (1 point)
–1
–7
7
1
14. What is the simplified form of the following expression? square root of one over one hundred forty-four (1 point)
two over one hundred forty-four
one over two hundred eighty-eight
one over twelve
12
15. Which property is illustrated by the statement?k(mp) = (km)p (1 point)
Associative Property of Addition
Commutative Property of Multiplication
Inverse Property of Multiplication
Associative Property of Multiplication
16. Evaluate u/z+xy squared, for u = 20, x = 4, y = 7, and z = 10. (1 point)
786
198
294
900
17. What is the product? 6(–3) (1 point)
–18
–3
18
9
18. Simplify the expression.
(2/3) cubed (1 point)
6 / 9 end fraction
8 / 27 end fraction
4/9
5 / 6 End Fraction
19. What word phrase can you use to represent the algebraic expression 3m? (1 point)
3 plus a number m
3 minus a number m
3 times a number m
3 divided by a number m
20. What is the simplified form of the expression?–(12x – 8y) (1 point)
12x + 8y
12x – 8y
–12x + 8y
–12x – 8y
21. What is the simplified form of the expression? 12[62 ÷ (52 – 42) + 4]? (1 point)
96
16
148
48
22. Simplify the expression Start Fraction 4 s g over negative 5 g End Fraction. (1 point)
- four-fifthss
four-fifthsg
negative five-fourthss
negative five-fourthsg
23. In a football game a player ran with the ball a total of 78 yards. On his last two runs he ran 7 and 5 yards. Write and evaluate an expression for the number of yards the player ran before those last two runs. (1 point)
78 – 5 + 7; 80 yards
78 – 5 – 7; 66 yards
78 + 5 – 7; 76 yards
78 + 5 + 7; 90 yards
24. What is the value ofStart Fraction x over y End Fractionwhen x = –15 and y = –3? (1 point)
5
–5
12
–12
25. You are given a problem that involves multiplying a positive number and a negative number. Which of the following are reasonable answers? Select all that apply. (2 points)
6
- three
- 2
4
26. Which of the following are reasonable answers for the product of two negative numbers and a positive number? Select all that apply. (2 points)
20
10
- 20
- 15
1.c
2.d
3.a
4.d
5.d
6.c
7.b
8.d
9.b
10.c
11.d
12.b
13.b
14.c
15.b
16.b
17.d
18.b
19.c
20.c
21.a
22.a
23.b
23.a
25.b,c
26.a,b
9 answers
#4 no idea -- no statement given
5-8 ok
#9 ok, but you should have written (9x-6)/3
10 ok
#11, ok but 5/(x-z)
#12 ok, but why not just say y/6 ?
13 ok
#14. √(1/144) = 1/12
√1/144 = 1/144
be specific on just what is under the √
#15 nope. B would be
k(mp) = k(pm)
or
k(mp) = (mp)k
#16. again, parentheses are important
u/z+xy squared, for u = 20, x = 4, y = 7, and z = 10
u/z + (xy)^2 = 20/10 + 28^2 = 786
(u/z + xy)^2 = (2+28)^2 = 900
Other arrangements are possible, but they do not end in integer answers
How did you get B?
17 - nope. D is 6-(-3)
18 ok, but what's with the "end fraction" stuff? 6/9 not clear enough?
19,20 ok
#21
12[62 ÷ (52 – 42) + 4]
12[62/10 + 4]
12[10.2]
122.4
You must have a typo
#22. nope
#23. Nope - subtract the total yards already run: 78-(7+5) = 66
#24 A
25,26 ok
1. C
2. A
3. B
4. D
5. C
6. C
7. D
8. D
9. B
10. D
11. D
12. A
13. B
14. B
15. A
16. C
17. A
18. D
19. A
20. C
21. D
22. B
23. A
24. A,D
25. B,C
:/
1.c
2.D
3.B
4.D
5.D
6.B
7.A
8.D
9.C
10.B
11.A
12.C
13.B
14.B
15.A
16.B
17.A
18.D
19.C
20.C
21.D
22.A
23.A
24.A, D
25.C, A
2.d
3.a
4.d
5.c
6.b
7.b
8.b
9.c
10.d
11.b
12.a
13.b
14.b
15.d
16.b
17.a
18.d
19.a
20.c
21.d
22.a
23.a
24.b,c
25.a,b
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