Donna opens a savings account with an initial balance of $50. She then deposits $25 each month. Use an equation, a table and a graph to explain the relationship between the amount of money in the account, a, and the number of months since Donna opened the account, m.
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4.5
1
Brandon wants to practice his trombone for at least 5.5 hours this week.
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2.5
0.5
0.5
0.5
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0.5
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1
1
1
1
Question 1
1.
What is the constant in the following expression?
A company sells speakers for $23 each. At the end of the week, they have sold $851 worth of speakers. How many speakers did they sell? Write and solve an equation to find the answer.
Question 2
2.
Write an equation to represent the situation. Use the variable x.
Question 3
3.
The company sold _____ speakers.
Question 4
4.
If each equation below was solved for x, for which equation is x = 6 the solution?
Choose all that apply.
Question 5
5.
Part A)
Use the equation a=25m+50 to explain how the value of a changes as m increases.
Question 6
6.
Part B)
Make a table to show the relationship between m and a. Find at least 5 ordered pairs. Given the equation a = 25m + 50.
Question 7
7.
Use your table from Part B to draw a graph to represent the situation.
Question 8
8.
Which value makes the equation 4x - 5 = 43 true?
Question 9
9.
Part A
Write an inequality to represent the number of hours Brandon will spend practicing this week. Use the variable x.
Question 10
10.
Part B
Graph the solution to your inequality from Part A on the number line below.
Question 11
11.
Which expression is equivalent to 45x - 15x?
Choose all that apply.
Consider the possible solution to each inequality. Choose Yes or No for each question.
Question 12
12.
Is 8.3 a solution of
Question 13
13.
Is 6.5 a solution of
Question 14
14.
IS 7 a solution of
Question 15
15.
Is 17 a solution of
Question 16
16.
Is 6 a solution of
Question 17
17.
Evaluate:
Jen accidently knocks a square framed poster off the wall, breaking the protective glass piece. The glass piece has side length x and she needs to buy a new piece of glass to replace the it.
Question 18
18.
Part A
Write a variable expression for the area of the glass piece Jen needs to replace.
Question 19
19.
Part B
If the protective glass piece is 25 inches wide, what is the area of the glass piece Jen needs to replace?
Question 20
20.
Part C
If Jen has a budget of $150, what is the most she can pay per square inch of glass to replace the glass piece described in Part B?
Question 21
21.
Explain your answer to #20. (Use mathematical reasoning.)
