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Week 1 Review
Week 1 Review
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Answers
1
Solve: 2y + 4 = -5y + 25
y = 3
y = 4
y = 25/7
y = 9
2
Select the most correct and complete definition of our vocab phrase "like terms".
Terms that consist solely of a number.
The parts of each term that are multiplied.
Terms that share the same variable.
Terms that have the same variable raised to the same power.
3
In the expression '9a - 17 + 13b - 4c', how many terms are there?
2
5
4
3
4
T or F? Using the Order of Operations in reverse can help us know what order to undo operations in.
False
True
5
Select the answer choice that is a correct example of the associative property of addition.
b x c = c x b
a + b = b + a
(j x k) x m = (j x m) x k
(x + y) + z = x + (y + z)
6
T or F? If you simplify the expression '3(c - 2) + 8c', you should get 11c - 5.
False
True
7
Which vocab. word is "a mathematical statement that shows that 2 quantities are equal"?
Term
Expression
Equation
commutative property
8
Solve: 4(7 + 5b) = 108
b = 16
b = 4
b = 85
b = 2.25
9
Solve: -6x - 6 = 48
x = -48/6
x = 5
x = -9
x = 6
10
T or F? After simplifying the expression '2x
3
- 3x
2
+ x + 5x
3
', you will be left with '4x
3
+ x'.
True
False
11
In algebra, the fraction line is used as a way to automatically ______ things that are above it or below it.
simplify
undo
multiply
group
12
T or F? A term that consists only of a number is called a "constant" term.
True
False
13
Solve: -5m - 10 + 4m = -11
j = 9/20
m = -20
x = 5
m = 1
14
In the equation '3(c - 2) = 18', what is the FIRST step to solve for 'c'?
Add c + 2.
Multiply both sides by 3.
Divide both sides by 3.
Subtract 18 from both sides.
15
Solve: -5(-1 + 5x) = -95
x = -4
x = 4
16
Select the answer choice that is a correct example of the commutative property of multiplication.
a + b = b + a
b x c = c x b
(j x k) x m = (j x m) x k
(x + y) + z = x + (y + z)
17
One example of the distributive property might state that the expression 'x(y + z)' is also equal to:
x + y + z
xy + yz
xy + xz
X2 + y + z
18
Solve: -9 + x = -1
x = 9
x = -10
x = 8
x = -8
19
T or F? In the equation '-3x - 2 = 6x - 74', x = 8
True
False
20
What is another word for "unknown value"?
Balance scale
Variable
Term
Coefficient
21
Solve: 7g - 1 = 41
g = 41/7
g = -7
g = 7
g = 6
22
Solve: x - 7 = -5
x = -2
x = 2
x = -12
x = 35
23
What do we have to do to keep an equation from getting out of balance?
Group things.
Get the unknown variable all by itself.
Make the exact same change to both sides of the equation.
Replace the unknown value with our answer.
24
In mathematics, this is the first step in the Order of Operations.
x and /
+ and -
Exponents
( ) Groups
25
What is our first step when simplifying expressions?
Combine like terms.
Use the distributive property to remove parentheses.
26
T or F:
Ms. Hammontree is awesome.
True
False