Name ____________________________________________ Date _____________________ Block _________
Math 7 - Unit 1 Test Study Guide – Integers, Absolute Value, Properties, Order of Operations
SOLs 7.1e, 7.3, 7.16 a, b, d
Simplify each expression below. Circle your final answer.
1) −15 + 11
2)
32
8
*3) 10 – (−5) + 16
5) −2(20)
6) (−8)(−9)
8) |−15| + |−10|
*9) −2 – (
*11)
4) 5 – 14
7) |−24|
−18
3
−22+(−8)
)
*10) 4  14
*12) 5  4(2)
−2
Model the following expressions using counters, then evaluate.
13) −3 + 5
14)
3 · ( −4)
Answer: __________
Answer: __________
15) −5 + (−2)
Answer: __________
Kayla starts with $200 in her checking account. She withdraws $100 to pay the dentist and withdraws
another $25 to buy school supplies. Her Aunt gave her $30, which she deposited in her checking account.
16) Write an expression that represents the given situation.
__________________
17) How much money does Kayla now have in her checking account?
_________________
A submersible is taking samples in ocean. On day 1, they reached the first point at 1400 feet below ground
level. On day 2, they reached the second point at 700 feet below ground level.
18) Write an expression using absolute value to show the distance between the two points on day 1 and
day 2. Then solve it to find the actual distance between the two points.
Expression:
Actual distance: _________
Use the number line to demonstrate the expressions.
19)
–4 + 7
20)
Answer: ______
–2 ● 2
Answer: ______
Use the number line to write integer expression.
21)
Expression: ________________
Answer: _______
22) Circle ALL expressions below that can be represented by the given model.
–5 + 13
0 + 5 − 11
5 – (–6)
Apply the following properties to
5 – 11
5 + (–11)
−5 + (–6)
6 – (–5)
0 – 11
12 + (13 + 8).
23) Commutative of Addition
12 + (13 + 8) = _________________________
24) Associative of Addition
12 + (13 + 8) = _________________________
Apply the following properties to (4 ● 8) ● 25.
25) Commutative of Multiplication
(4 ● 8) ● 25 = _________________________
26) Associative of Multiplication
(4 ● 8) ● 25 = __________________________
Create an example using the number 15 to demonstrate the following properties:
27) Multiplicative of Zero ________________________ 30) Additive Identity ________________________
31) Additive Inverse
________________________ 32) Multiplicative Identity __________________
33) Multiplicative Inverse ________________________
Evaluate each expression.
34.)
4(10) – 22 ÷11
35.)
(32 – 12) ÷ 22
36.)
9(13 – 16)2
37.)
(7 + 3)23
39.)
(41 + 9)(3)2
38.)
40.)
(20 – 22) + 32
(96 – 21) ÷ 52
41.)
2 – 3 · 7 + 16