Vocabulary
An unknown value that you solve for is called this
variable
-8x = -56
x = 7
-9(x + 4) = 18
x = -6
14.9x - 9.7x = -22.36
x = -4.3
Write AND solve an equation that represents the following scenario:
Little Reggie has $13 in his piggy bank. He makes $2 each chore day at home. How many chore days will it take for Little Reggie to reach $25?
13 + 2d = 25
or
2d + 13 = 25
d = 6
Simplify the following ratio:
45:18
5:2
(GCF is 9)
The first successful English colony in America
Jamestown
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Numbers in an equation that stand alone/have no variable attached.
Constants
y/-4=-7
y = 28
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-21 = 7(-2x -3)
x = 0
2x + 5 + 4x = 53
x = 8
Write AND solve an equation that represents the following scenario:
Lilah has run 25 miles so far this month. If Lilah runs 5 miles per run, how many runs will it take for her to reach 60 total miles for the month?
25 + 5r = 60
or
5r + 25 = 60
r = 7
Simplify the following expression:
(x^17)/x^9
x8
Which magnetic poles are attracted to one another and which poles repel one another?
Opposite poles (north and south) attract and same poles repel
When solving an equation, this is the name of the next step that follows the distributive property when we add together what we can.
Combine Like Terms
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(b-4)/17=-3
x = -47
Multiply both sides by 17 to get rid of the fraction, which gives you b - 4 = -51
Then add 4 to both sides to get b = -47
5(3x + 4) - 5 = 75
x = 4
-9 + 8x - 6 = 25
x = 5
Write AND solve an equation that represents the following scenario:
Quinton starts the week with $175 in his bank account. He earns $12 per hour at his job. At the end of the week, Quinton has a total of $403. How many hours did Quinton work this week?
175 + 12h = 403
or
12h + 175 = 403
h = 19
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(6.8 x 10^6)/(1.7x10^3)
4 x 10^3 or 4.0 x 10^3
The action or order of events in a story is called this...
the plot
When a number is being multiplied by an expression with two or more terms, we use this property of multiplication to simplify.
Distributive property
125 = -5(5x - 7) - 10
x = -4
-7 + 7x - 2 - 3x = 43
x = 13
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Write AND solve an equation that represents the following scenario:
Bobby is buying 6 equally-priced movie tickets for him and his friends. He has a coupon for $3 each ticket. If he spends $42 with the coupons before tax, what was the original price of each ticket?
6(t - 3) = 42
t = 10
What percent of 90 is 4.5?
5%
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What are the three largest countries based off population?
India, China, and the U.S. (in that order)
The number in front of the variable that is being multiplied by the variable.
For example, in the expression 3x it is the 3.
Coefficient
12 + a/5 = -1
a = -65
First get the constant on the other side by subtracting 12 on both sides, then multiply both sides by the denominator of 5 to get a = -65
2(3x + 5) + 2x - 5 = 93
x = 11
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11 - 4 = 3x - 10x + 28
x = 3
Write AND solve equation that represents the following scenario:
Brock's personal cookie jar starts out with 32 cookies in it. Each day, Brock eats two cookies on his way out the door to go to work. If there are 10 cookies left in the jar, how many days have passed?
32 - 2d = 10
or
-2d + 32 = 10
d = 11
What is the probability of flipping a quarter 4 times and getting heads all 4 times?
(1/2)(1/2)(1/2)(1/2)=1/16 or 6.25%
How many planets are closer to the Sun than Earth?
2 (Mercury is closest, then Venus, then Earth)