Factoring and the Distributive Property
Order of Operations
Solving Equation
After School Jobs
Hot Air Balloons
100
Write an equivalent expression by using the distributive property for 7(x + 2y - 3 + 8z)
What is 7x + 14y - 21 + 56z?
100
Evaluate the following expression
92 - 9(2 + 3 * 2)
What is 9?
100
Solve for x:
8x = 104?
What is 13?
100
Johnnie Pepper has an after school job to save money for an upcoming trip to Hawaii. At the beginning of October, he had 500 dollars in his account. His job allowed him to save an additional $150 a month.
What is the rate of change?
What is $150 per month?
100
a = 3p
Where a is 36 apples and p is the number of pounds of apples. Solve for p.
What is p = 12 lbs?
200
Factor the following expression
12x + 54y
What is 6(2x + 9y)?
200
Evaluate the following expression
9*8 - 7 - 11⁄11
What is 64?
200
Solve for x:
64 - x = 53
What is 11?
200
Johnnie Pepper has an after school job to save money for an upcoming trip to Hawaii. At the beginning of October, he had 500 dollars in his account. His job allowed him to save an additional $150 a month.
What is the initial value?
What is $500?
200
c – 12.50 = $300.50 Where c is the cost of opening a new checking account. Solve for c.
What is c = $313?
300
Simplify the following expression 10 - 6(x + 2y - 3)
What is 18 - 6x - 12y?
300
Evaluate the following expression
65⁄5 + 52 - 3
What is 35?
300
Solve for x:
2x = 1⁄2
What is 1⁄4?
300
Johnnie Pepper has an after school job to save money for an upcoming trip to Hawaii. At the beginning of October, he had 500 dollars in his account. His job allowed him to save an additional $150 a month.
Write an equation to represent this situation?
What is y = 150x + 500?
300
j⁄2 = 4
Where j is the length of a jump rope, in feet. Solve for j:
What is j= 8 ft?
400
Factor the following expression 15x + 15y + 30z
What is 15(x + y + 2z)?
400
Evaluate the following expression
18 + 9(7 * 1).
What is 64?
400
Solve for x:
x⁄3 = 5⁄6
What is 5⁄2?
400
Johnnie Pepper has an after school job to save money for an upcoming trip to Hawaii. At the beginning of October, he had 500 dollars in his account. His job allowed him to save an additional $150 a month.
Complete the following table.
table, th, td { border: 1px solid white; }
Time (months) 0 1 2 3 6 9
Money ($) ____ ____ ____ ____ ____ ____
table, th, td { border: 1px solid white; } What is
Time (months) 0 1 2 3 6 9
Money ($) 500 650 800 950 1,400 1,850
400
Rocky Mountain Hot Air Balloons offers sunrise rides over the foothills. Once all riders are in the balloon basket, they begin their ascent at a rate of 5 meters per second. If the balloon is now 240 meters in the air, its height is represented by h = 5s. How many seconds did it take the balloon to ascend to an altitude of 240 meters? Show your work using an equation.
What is
h = 240
h = 5s
240 = 5s
s = 48 seconds?
500
Write an equivalent expression by simplifying the following expression x(x + 1) + 2x
What is x2 + 3x?
500
Evaluate the following expression
18 + (-1)4
What is 2?
500
Solve for x:
-24 = 7x + 18
What is -6?
500
Johnnie Pepper has an after school job to save money for an upcoming trip to Hawaii. At the beginning of October, he had 500 dollars in his account. His job allowed him to save an additional $150 a month.
Graph the situation.
What is
500
When Rocky Mountain Hot Air Balloons begins their descent back to land, they descend at a rate of 3 meters per second after maintaining a maximum height of 360 meters. If the descending balloon is now 339 meters in the air, its height is represented by h = -3s + 360. How many seconds did it take the balloon to descend from its maximum height to 339 meters high? Show your work using an equation.
What is
h = 339
h = -3s + 360
339 = -3s + 360
339 - 360 = -3s + 360 - 360
-21 = -3s
s = 7 seconds?
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