Unit 1: Integers
Beginning to Meet
the Learning Goal
Name/Class: ______________________
Date: ____________
Practice Test
Approaching the
Learning Goal
Meeting the
Learning Goal
Exceeding the
Learning Goal*
Key
Concepts
o Applies limited
mastery of key
concepts
o Applies partial
mastery of key
concepts
o Applies mastery of
key concepts
o Applies key concepts
in ways that exceed
expectations
Knowledge
+ Skills
(Meets all Grade 7 criteria
and…)
o Transfers knowledge
and skills in limited
ways to related
situations and
problems
o Transfers knowledge
and skills in partial
ways to related
situations and
problems
o Transfers knowledge
and skills clearly to
related situations and
problems
o Transfers knowledge
and skills to related
situations and problems
in ways that exceed
expectations
Learning Goal
LG 1.1: Use order of operations to add, subtract,
multiply, and divide integers
LG 1.2: Convert between standard form and
scientific notation
Beginning
Approaching
Meeting
Exceeding*
BG
AG
MG
EG
BG
AG
MG
EG
Process: Shows clear steps/strategies and has limited computational errors
Process
Beginning
Approaching
o Unclear steps shown
towards a solution
o Most steps shown
towards a solution
o Significant
computation errors
o Some computation
errors
Meeting
o Complete and clear
steps shown towards
a solution
o Limited computation
errors
Exceeding*
o Systematic steps
shown towards the
solution of complex
problems
o Limited computation
errors
Problem Solving: Identifies relevant information in a problem and uses appropriate strategies to solve a
problem.
Problem
Solving
Beginning
o Applies limited
concepts towards
problem solving
everyday situations
Approaching
o Applies most concepts
towards problem
solving everyday
situations
Meeting
o Successfully applies
concepts towards
problem solving
everyday situations
Exceeding*
o Efficiently and
effectively applies
concepts towards
problem solving
complex situations
o
GREEN Write a variable expression for each word phrase.
1) The number of eggs in m dozen
2) Paul has a mass of 43 kg. Write an expression that gives Paul’s mass after he has gained x
kilograms
3) Nine more than the quotient of four and p
BLUE Write a variable expression for each word phrase.
1) 5 less than the quotient of 10 and the product of 2 and a number.
2) Seven more than the square of a number y divided by 2
For problem 3, use the following information: Terry is at a point 3 km from home. He starts
1
riding his bike at km per minute toward home. Terry rides for x minutes.
4
3a) Write an expression for the number of kilometers he has ridden.
3b) Write an expression for the number of kilometers he is away from home.
3c) How far is he from home after 8 minutes?
GREEN Simplify the expression. Show all of your steps.
4) 50 – 5 • 7 + 8
5) 5 + [2 • (45 ÷ 9) – 3]
GREEN (continued) Evaluate when a = 6, b = -8 and c = 3:
6)
3a - 4b + 2c
b ¸ (-2)
7) ac – (a + c)
8)
b-c
BLUE
4) Insert an operation symbol for addition, subtraction, multiplication, or division in each
blank to make the statement true.
60___(4___6)___5___3 = 65
Simplify the expression. Show all of your steps.
400 - 9(18 -13)2
5)
7
6) 3[15 – (23 – 6)2]
8) Evaluate the expression when a = -7 and b = 8.
 b  (a )
é3
(17 - 9 )2 ùú
ë4
û
7) 14 ¸ ê
GREEN
9) Your friend said that the value of the expression 27 - 3  4 + 5 = 101. Explain your
friend’s error. What is the actual value?
10a) A tree grows 5 cm each year. Write an expression for the tree’s height after x years.
10b) When the tree is 36 years old, how tall will it be?
BLUE
9) In the statement, a and b are nonzero integers. Explain what must be true about the
values of a and b. Give examples to back up your reasoning.
a b  a  b
10) The variables a and b are integers. Tell whether the value of the expression is positive,
negative or could be either under the given conditions. Explain how you know.
b a
given that
ba
GREEN
11a) Order the integers from least to greatest.
BLUE
11) Order the integers from least to greatest.
-|-9|, 0 , 9 ,|2|,-3,|-5|
−|23|, −|18|, −|−21|, 27, −17, −(−19)
GREEN and BLUE Compare. Use < ,> or = to complete each statement.
28  7
30  9
12) 8
13) 2
14)
 9
10
15  5
Complete each sentence with a word or words that make it true.
15) A _________________________ is a letter that stands for a number.
16) ______________________ are whole numbers and their opposites.
17) A number’s distance from zero on the number line is called its ____________________.
GREEN
18) A shopkeeper sold nine games for $3 each and four books for $18 each. Circle the
expression that gives the sales total. Explain your choice.
A. (9 + 3) • (4 + 18)
B. 9 • 3 + 4 • 18
C. (9 • 3)(4 • 18)
D. 9 • (3 + 18)
19) A helicopter is flying 80 meters above ground level. It rises 30m, falls 45m, rises 20m, falls
10m, rises 15m, and then falls 12m. How far above or below its original position is it now?
BLUE
18) List the integers that can replace x to make the following statement true: 2 < x < 7
BLUE (continued)
19) Tell whether x is a positive integer or a negative integer. Explain how you know.
x   x
GREEN and BLUE Write the numbers in Scientific Notation.
20) The time it takes for light to travel one meter is 0.000000000334 seconds.
21) The distance from earth to the star Vega is 239,000,000,000,000,000 meters.
GREEN Write the number in Standard Form.
22)
3.41´10 7
23)
4.05 ´10-4
24) The most distant photograph of Earth was taken by the spacecraft Voyager I on February
4, 1990. Its camera took pictures of Earth from a distance of 6,500,000,000 kilometers. Write
the distance in Scientific Notation.
BLUE Rewrite in Standard Form. Then complete the statement using < , > , 𝒐𝒓 =.
22) 4.8 x 10-5 ______ 4.8 x 10-8
23) 1.08 x 106______ 1.09 x 107
24) The speed of light is approximately 3 x 108 m/s. Record your answers in Scientific
Notation.
a) How far does light travel in 6.0 x 101 seconds?
b) How far does light travel in 1 day?
c) How long would it take light to travel from our sun to Pluto, if Pluto is 5.9 billion km away?