Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Provide an appropriate response.
1) Choose the expression that is equivalent to the following: 4(3a) + 4(8b) 1)
A) 8(11ab) B) 4(3a + 8b) C) 4(11ab) D) 8(3a + 8b)
2) Choose the expression that is equivalent to the following: (8x + 4y)(5y3 ) 2)
A) 8x + (4y + 5y3 ) B) (8x) + (4y)(5y3 ) C) (5y3 )(8x + 4y) D) (8x + 5y3 )(4y)
3) Choose the expression that is equivalent to the following: 1(3y2) 3)
A) 3y3 B) 3y2 C) 4y2 D) 1
4) Choose the expression that is equivalent to the following: 0 + 6a 4)
A) 0 B) 6a C) -6a D) 6 + a
5) Choose the expression that is equivalent to the following: (3x + 4y)(4y + 8x) 5)
A) (3x + 4y)(8y + 4x) B) (3x + 4y)(8x + 4y)
C) 11x + 8y D) (3x + 8x)(4y + 4y)
6) Choose the expression that is equivalent to the following: 6x + 2y 6)
A) 2(3x + y) B) 8xy C) 2(3x + 2y) D) 2(4x + y)
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
7) Is this statement true or false? Why? 7)
(8 - 8) - 8 = 8 - (8 - 8)
Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
8) (y + z) + 5 as (5 + z) + y 8)
Provide an appropriate response.
9) Is the integer 0 positive or negative? Explain. 9)
Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
10) s(t9) as 9(ts) 10)
11) x(y9) as 9(xy) 11)
12) (x + 2) + 3 as 5 + x 12)
13) (4w)5 as 20w 13)
14) 2 + (a + b) as b + (2 + a) 14)
1
, 15) (6 + y) + 4 as y + 10 15)
16) (z7)2 as 14z 16)
17) (x + 7) + y as 7 + (x + y) 17)
18) ( 7)m as 7( m) 18)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Simplify.
2 3 3 3
19) - + - 19)
17 34 17 34
1 16 1 2
A) B) C) D)
34 17 17 17
Multiply.
20) -3.4 · (-15) 20)
A) -11.6 B) 18.4 C) -18.4 D) 51
Insert < or > to write a true statement.
21) 9.06 -9.09 21)
A) 9.06 < -9.09 B) 9.06 > -9.09
State the real number that corresponds to the situation.
22) This year corn production decreased 55,000 pounds from last year on Steve's farm. 22)
A) -55,000 B) 55,000
Evaluate.
p
23) , when p = 14 and q = 2 23)
q
1
A) 7 B) 7 C) 8 D) 6
2
Solve the problem.
24) Wayne has $26.72 in his wallet. Janice has a debt note for $30.45 in her wallet. Find the difference 24)
between these amounts.
A) -$3.73 B) -$57.17 C) $57.17 D) $3.73
Multiply.
25) 7(3r + 5 + 9s) 25)
A) 21r + 5 + 9s B) 21r + 35 + 63s C) 21r + 35 + 9s D) 21r + 5 + 63s
Write an equivalent expression. Use an associative law.
26) 2 + (s + t) 26)
A) 2 + (t + s) B) 2(s + t) C) (s + t) + 2 D) (2 + s) + t
2
,Multiply.
27) 3(3x + 5y + 2) 27)
A) 9x + 5y + 2 B) 9x + 15y + 2 C) 9x + 5y + 6 D) 9x + 15y + 6
Add. Do not use a number line except as a check.
5 4
28) - + 28)
7 7
9 1 9 1
A) B) - C) - D)
7 7 7 7
Find the reciprocal, if it exists.
8x
29) 29)
5y
8y 5x 8x 5y
A) B) C) D)
5x 8y 5y 8x
Find the absolute value.
30) 230 30)
A) -230 B) 0 C) 230 D) 460
Multiply.
31) 3(7 + m) 31)
A) 21m B) 21 + 7m C) 21 + m D) 21 + 3m
Find the absolute value.
1
32) 32)
7
1 1 2
A) 0 B) - C) D)
7 7 7
State the real number that corresponds to the situation.
33) In one state, the highest point is 4950 feet above sea level. 33)
A) -4950 B) 4950
Find the reciprocal, if it exists.
34) -4 34)
1 1
A) 4 B) C) - D) 0
4 4
Write an equivalent expression. Use an associative law.
35) r + (3 + s) 35)
A) r + (s + 3) B) (r + 3) + s C) r(3 + s) D) (3 + s) + r
Substitute to find the value of the expression.
36) In one store, bananas cost 60 cents per pound. The cost, in dollars, of x pounds of bananas is 0.6x. 36)
What is the cost of 2.0 pounds of bananas?
A) $3.33 B) $1.20 C) $1.40 D) $0.33
3
, State the real number that corresponds to the situation.
37) Sales at Andrea's Formal Wear Shop were $5688 less this week than the sales last week. 37)
A) 5688 B) -5688
Find the reciprocal, if it exists.
38) 0 38)
A) 0 B) No reciprocal C) 1
Find the opposite, or additive inverse.
39) 17.7 39)
1
A) -17.7 B) 0 C) D) 17.7
17.7
11
40) 40)
6
11 6 11 6
A) - B) - C) D)
6 11 6 11
Simplify.
41) 12 + (-20) - 10 41)
A) -18 B) 42 C) 2 D) 18
Collect like terms.
42) 5q - 4 - 3p + 2q - 3p 42)
A) 5q - 6p - 6 B) 7q - 6p - 4 C) 7q - 3p - 4 D) 7q + 6p+ 4
Substitute to find the value of the expression.
43) Mary earns three times as much per week as Maureen. If x represents the amount that Maureen 43)
earns per week, then 3x represents the amount that Mary earns per week. How much does Mary
earn per week if Maureen earns $380 per week?
A) $377 B) $126.67 C) $1140 D) $383
Evaluate.
x+y
44) , when x = 13 and y = 47 44)
10
A) 7 B) 5 C) 4 D) 6
Subtract.
45) 9 - (-12) 45)
A) -21 B) 21 C) -3 D) 3
Insert < or > to write a true statement.
46) -20 -61 46)
A) -20 > -61 B) -20 < -61
Evaluate -(-x) for the given value of x.
47) x = 137 47)
1
A) -137 B) 137 C) 0 D)
137
4