Determine the reasonableness of answer(s) or interpret the solution(s) in the context of the problem. Example: If you want to place a towel bar that is 9 3/4 inches long in the center of a door that is 27 1/2 inches wide, you will need to place the bar about 9 inches from each edge; this estimate can be used as a check on the exact computation.
Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Example: The perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width?
Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers, and graph the solution set of the inequality. Example: A salesperson is paid $50 per week plus $3 per sale. This week she wants her pay to be at least $100. Write an inequality for the number of sales the salesperson needs to make and describe the solutions.
Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate. Example: If a woman making $25 an hour gets a 10% raise, she will make an additional 1/10 of her salary an hour, or $2.50, for a new salary of $27.50 an hour (or 1.1 × $25 = $27.50).
Apply properties of operations to add, subtract, factor, and expand linear expressions with rational coefficients. Example 1: The expression 1/2 • (x + 6) is equivalent to 1/2 • x + 3. Example 2: The expression 5.3 – y + 4.2 is equivalent to 9.5 – y (or – y + 9.5). Example 3: The expression 4w – 10 is equivalent to 2(2w – 5).
Determine the reasonableness of the answer(s) in problemsolving situations.
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Q 1/22
Score 0
60
Q 2/22
Score 0
60
22 questions
Q.
1
60 sec
M07.B-E.2.3.1
Q.
2
60 sec
M07.B-E.2.3.1
Q.
3
60 sec
M07.B-E.2.2
Q.
4
60 sec
M07.B-E.2.2.1
Q.
Mary earned $$\$35.00$$ for walking her neighbor's dogs.
$\quad\bullet\enspace$ Mary charged a flat fee of $$\$5.00$$ to walk the dogs.
$\quad\bullet\enspace$ Mary also charged $$\$2.50$$ for each $\frac{1}{4}$ hour she walked the dogs.
For exactly how many hours did Mary walk her neighbor's dogs?
5
60 sec
M07.B-E.2.2.1
Q.
6
60 sec
M07.B-E.2.2.1
Q.
7
60 sec
M07.B-E.2.2.1
Q.
8
60 sec
M07.B-E.2.2.2
Q.
9
60 sec
M07.B-E.2.2.2
Q.
10
60 sec
M07.B-E.2.1.1
Q.
11
60 sec
M07.B-E.2.2.1
Q.
12
60 sec
M07.B-E.2.2.2
Q.
13
60 sec
M07.B-E.2.2
Q.
Nadia is selling tickets for a school event. She has already sold 17 tickets. Her goal is to sell at least 100 tickets. Each day she is able to sell up to 10 tickets. What is the 'minimum' number of days Nadia will need to sell tickets to reach her goal?
14
60 sec
M07.B-E.2.3.1
Q.
15
60 sec
M07.B-E.1.1
Q.
16
60 sec
M07.B-E.1.1.1
Q.
Kelly has a savings account with a beginning balance of $$\$800$$.
$\bullet$ She earns $$\$340$$ a week at her job.
$\bullet$ For 8 weeks, she puts 15% of her weekly earnings into the savings account.
$\bullet$ Kelly makes 3 withdrawals of $$\$45$$ each.
What is the account balance at the end of 8 weeks?
17
60 sec
M07.B-E.2.1.1
Q.
18
60 sec
M07.B-E.2.2.1
Q.
Walter is buying strawberries and grapes.
$\bullet$ The total amount he spends on the fruit must be less than $$\$14.00$$.
$\bullet$ He spends $$\$5.25$$ on a basket of strawberries.
$\bullet$ Grapes cost $$\$1.75$$ per pound.
Which graph BEST represents all the numbers of pounds of grapes Walter can buy?
