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Review Unit 2 Summative #2
Integrated Pre-Algebra Advanced
Name _________________________________ Period _______________ Date ________________
Word Bank
Equation
Numerical Expression
Distributive Property
Inequality
Variable
Additive Inverse
Algebraic Expression
Equivalent
1.____________________________ Two or more mathematical expressions that are equal.
2. ____________________________ A pair of numbers whose sum is zero.
3. ____________________________ A letter that stands for a number.
4. ____________________________ A mathematical statement made up of numbers,
operations, and variables.
5. ____________________________ A mathematical statement including an equal sign.
6. ____________________________ The process of multiplying a number or variable to all
terms within the parentheses.
7. ____________________________ A mathematical statement made up of numbers and
operations.
8. ____________________________ A mathematical sentence including <, >, ≤, or ≥.
9) Write an algebraic expression that represents the difference of m and 7.
10) Write an algebraic expression that represents the sum of a and -3.
11) A football player makes 8 tackles per game. Write an expression to represent if there were
n games, how many tackles he would make.
Review Unit 2 Summative #2
Integrated Pre-Algebra Advanced
12) Write an algebraic expression to represent the missing value.
Bill’s Age
12
13
14
15
x
Sarah’s Age
7
8
9
10
?
13) Using two different operations, write two equivalent algebraic expressions that
represent the purchase of four games.
Item
Rides
Games
Candy
Price
r
g
c
14) You want to buy five cans of soup and three bags of chips. If you’re going to go to one
store, which store is the better choice? Write an algebraic expression and evaluate the
expression to get the final price for each store.
Store A Price
Store B Price
Store A Expression: _________________
Soup
$2
$3
Store A Price: ______________________
Chips
$3.25
$2.50
Store B Expression: _________________
Salad
$2.50
$2.25
Item
Store B Price: ______________________
Better Buy: ________________________
15) Use visuals to explain why the additive inverse of a number is always zero.
16) Use words or symbols to explain the zero property of multiplication.
Review Unit 2 Summative #2
Integrated Pre-Algebra Advanced
Directions: Solve each equation. Show all your work for each problem.
17) 6 – 9n = -21
18)
-8m – 4 = 20
19) 2(5x – 7) = -4
20)
3
m
4
21) - 18 = 4r – 13r
22)
14 = 3.5(y + 8)
(y – 9) = 3
24)
8(x + 8) – 9x = 11
2
9
26)
23)
25)
1
4
=
−5
𝑥
27) Solve y = mx + b for x
3
20
–
1
2
3
=8
4𝑥
= 30
28) Solve V = lwh for w
Review Unit 2 Summative #2
Integrated Pre-Algebra Advanced
29) Complete the following chart explaining the properties and reasoning used to solve the
given two-step problem.
1.
6 = 3x + 12
2. 6 = 3x + 12
– 12
– 12
– 6 = 3x
First, I copy the problem correctly.
Second, I _______________________________________________
and get__________________________________. I do this because
_______________________________________________________
_______________________________________________________
The property that allows this step is _________________________
_______________________________________________________
3.
–
6 = 3x
3
3
Third, I _______________________________________________
and get__________________________________. I do this because
–
2 = x
_______________________________________________________
_______________________________________________________
The property that allows this step is _________________________
_______________________________________________________
4.
6 = 3( – 2) + 12
Finally, I know my answer is correct because___________________
_______________________________________________________
_______________________________________________________
Review Unit 2 Summative #2
Integrated Pre-Algebra Advanced
30) Jenna purchased 3 shirts for a total of $51.25, which included $3.25 in tax. If each shirt
costs the same amount, how much did each individual shirt cost without tax? Be sure to label
your answer.
Equation:
Work:
Solution:
Solve and graph each inequality. Include at least three points on your number line. Show
your work.
31)
32)
33)
34)
5 > r + 10
𝑛
−4
–
≤ -8
30 > 3m
– 12
≤ 2c – 22
Review Unit 2 Summative #2
35)
1
4
c – 4 <
–
Integrated Pre-Algebra Advanced
8
36)
– 7(x
– 8) ≤ – 7
37)
You can run a mile in 9 minutes or less. Write an inequality for this statement.
38)
Three less than 2 times the number r is less than five. Write an inequality for this
statement.
39) Find the three consecutive integers whose sum is 81. Write an equation and solve for all
three integers.
Equation:
Answers:
40)
A boy is 6 years old. Write an equation to show how old he would be in 15 years.