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2.2, 2.3 Add, Subtract Real Numbers HW
Name: _____________________________________________ Date: _______________________ Period: ____
1) Which expression must be added to 3x - 7 to equal 0?
a) 3x + 7
b)-3x + 7
2) Which expression is an example of the associative property?
a) x + y + z = z + y + x
d)-3x - 7
c) (x + y) + z = x + (y + z)
d)x ⋅1 =x
b)x(y + z) = xy + xz
3) What is the additive inverse of
c) 0
2
?
3
4) Which property of real numbers is illustrated by the equation  3  3  0
a) additive identity
c) additive inverse
b)commutative property of addition
d)associative property of addition
5) Which equation illustrates the distributive property for real numbers?
1 1 1 1
c) 3  0  3
a)   
3
2
2
3
d)-3(5 + 7) = (-3)(5) + (-3)(7)
b)(1.3×0.07)×0.63=1.3×(0.07×0.63)
6) Tori computes the value of 8×95 in her head by thinking 8(100 − 5) =8×100 − 8×5. Which number property
is she using?
a) commutative
b)associative
c) closure
d)distributive
7) Which equation illustrates the associative property of addition?
a) x + y = y + x
b)3 + x = 0
c) (3 + x) + y = 3 + (x + y)
d)3(x + 2) = 3x + 6
8) Which equation is an illustration of the additive identity property?
b)x + 0 =x
1
a) x ⋅ 1 =x
c) x   1
d)x − x= 0
x
9) What is the multiplicative inverse of
a)  1
3
?
4
b)
4
3
c) 
3
4
d) 
4
3
10) Which equation illustrates the distributive property?
a) a + 0 = a
c) 5(a + b) = 5a + 5b
b) a + b = b + a
d) a + (b + c) = (a + b) + c
11) Which set is closed under division?
a) integers
b) whole numbers
c) {1}
d) counting numbers
12) Use the numbers 8 and 4 to illustrate the commutative property of addition.
13) Use the numbers 9, 7, and 4 to illustrate the associative property of multiplication.
14) Arrange these numbers in order from greatest to least:
0, 3, –3,
1
3
List the numbers in question 14 that are not integers.
15) What property of addition states that the order in which two real numbers are added does not affect the sum?
16) The temperature inside Mammoth Cave in Kentucky is about 12.2°C year round. If the temperature outside
the cave is –2.4°C, what is the change in temperature from outside to inside the cave?
17) In four plays a football team gains 3 yards, loses 7 yards, loses 2 yards, and gains 15 yards. A team needs to
gain 10 yards to get a first down. Did this team get a first down? Explain your reasoning.
18) Greenwich Mean Time (GMT) is the time at the Royal Observatory in Greenwich, England. A location that
is +n hours from GMT is n hours ahead of GMT, and a location that is – hours from GMT is n hours behind
GMT. Costa Rica is –6 hours from GMT, and India is +5.5 hours from GMT. If it is 7:45am in India, what
time is it in Costa Rica?