Equations – Creating Equations
In this assessment, you will encounter a number of different questions that will assess both your understanding of mathematics and your ability to reason quantitatively.
Instructions
(Click to Read)
Do not use a calculator in this assessment. You shouldn’t need one to answer these questions, and the extra practice with arithmetic (long division, multidigit multiplication, etc.) will just make you a better math student!
Once you input your answer, click on “Check” to see immediate feedback about the question, including an explanation. You can also skip the question and come back to it later.
You may encounter different types of questions:
 Multiple Choice
 You will see several answer choices, but only one will be correct.
 Select the correct answer choice.
 FreeResponse (OpenEnded)
 You will not see any answer choices, and only one answer is correct.
 Type your answer into the space provided.
 For fractions, input your answer as “#/#” without the quotation marks, replacing the # with numbers. For example:
 to input an answer of \(\frac{1}{2}\), type “1/2” without the quotation marks.
 For decimals less than 1, input your answer with a leading zero. For example:
 to input an answer of \(0.5\), type “0.5” without the quotation marks.
 For whole numbers, just type the number into the space provided. For example:
 to input an answer of \(5\), type “5” without quotation marks.
 ChecktheBox
 You will see several answer choices, but one or more may be correct.
 Select all correct answer choices.
Tips
(Click to Read)
 These aren’t basic math questions – they’re tricky! Read closely and make sure you know what’s being asked.
 Do calculations on paper with a pencil. You don’t get extra credit for answering in your head!
Assessment Summary
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Question 1 of 20
1. Question
A farmer brought \(x\) red apples to sell at a market. He brought \(20\) more green apples than red apples, and no other apples. If he brought a total of \(80\) apples, which equation can be used to find the number of green apples he brought?
CorrectIncorrect 
Question 2 of 20
2. Question
A clothing store stocks \(n\) of their most popular blue sweater. They stock \(50\) fewer of their most popular gray sweater than the blue sweater. If they have a total of \(420\) of the two types of sweaters, which equation can be used to find the number of gray sweaters they have in stock?
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Question 3 of 20
3. Question
Fatima and her sister are reading the same book. Fatima read \(p\) pages in the book last weekend. Her sister read three times as many pages last weekend. If they read a total of \(360\) pages, which equation can be used to find the number of pages Fatima’s sister read?
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Question 4 of 20
4. Question
Brett counts out \(a\) almonds to put in his yogurt each morning. Emily counts out \(10\) fewer than twice as many almonds for her yogurt. If they count a total of \(59\) almonds, which equation can be used to find the number of almonds Emily counts out?
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Question 5 of 20
5. Question
Jasmin has \(d\) dimes, and has \(12\) fewer nickels than dimes. If she has a total of \(\$2.40\), which equation can be used to find the total value of Jasmin’s dimes and nickels, in dollars?
CorrectIncorrect 
Question 6 of 20
6. Question
The Woo family went to a theme park and spent \(\$390\) on two adult tickets and two child tickets. If each adult ticket cost \(\$20\) more than each child ticket, which equation can be used to find the cost of each child ticket, \(c\), in dollars?
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Question 7 of 20
7. Question
The sum of \(3\) times an unknown number and \(2\) less than the number is \(46\). Which equation could be used to find the value of the number?
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Question 8 of 20
8. Question
When the sum of a number, \(y\), and \(5\) is subtracted from \(4\) times that number, the difference is \(61\). Which equation could be used to find the value of the number?
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Question 9 of 20
9. Question
The product of \(x\) and the sum of \(x\) and \(2\) is equal to \(168\). Which equation could be used to find the value of \(x\)?
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Question 10 of 20
10. Question
\(9\) subtracted from the product of \(k\) and \(4\) is equal to the quotient of \(k\) and \(5\). Which equation could be used to find the value of \(k\)?
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Question 11 of 20
11. Question
Eustace delivered \(n\) newspapers on Sunday morning. Dolores delivered three times as many papers as Eustace, and James delivered \(18\) fewer than five times as many papers as Eustace. If Dolores and James delivered the same number of papers, which equation can be used to find the number of papers that Eustace delivered?
CorrectIncorrect 
Question 12 of 20
12. Question
In a chocolate factory, three machines produce chocolates: Machine A can produce \(c\) chocolates per hour; Machine B can produce \(8\) more than twice as many chocolates per hour as Machine A; and Machine C can produce \(100\) fewer chocolates per hour than Machine B. If Machines A and C produce the same number of chocolates per hour, which equation can be used to find the value of \(c\)?
CorrectIncorrect 
Question 13 of 20
13. Question
Brittany has \(p\) pennies, and has four times as many nickels as pennies. If she has a total of \(\$4.20\), which equation can be used to find the total value, in dollars, of Brittany’s pennies and nickels?
CorrectIncorrect 
Question 14 of 20
14. Question
Polly swam \(m\) meters on Friday. On Saturday, she swam twice as many meters as she did on Friday. On Sunday, she swam twice as many meters as she did on Saturday. If the difference between the number of meters she swam on Saturday and Sunday was \(420\), which equation can be used to find the number of meters she swam on Sunday?
CorrectIncorrect 
Question 15 of 20
15. Question
The product of \(x\) and the difference of \(x\) and \(5\) is equal to \(5\) less than the sum of \(x\) and \(10\). Which equation can be used to find the value of \(x\)?
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Question 16 of 20
16. Question
A phone with a price of \(\$700\) is to be purchased with an initial payment of \(\$140\) and weekly payments of \(\$80\). Which equation can be used to find the number of weekly payments, \(p\), required to complete the purchase?
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Question 17 of 20
17. Question
Dawson ran \(m\) meters at a track meet. Joey ran \(4\) times as many meters as Dawson. If the difference in their distances is equal to \(150\) more than half Dawson’s distance, which expression could be used to find the number of meters Joey ran?
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Question 18 of 20
18. Question
Cody has \(n\) nickels, has twice as many dimes as nickels, and has \(4\) more quarters than nickels. If he has a total of \(\$5.00\), which equation can be used to find the total value, in dollars, of Brittany’s nickels, dimes, and quarters?
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Question 19 of 20
19. Question
If the sum of a number \(m\) and \(12\) is equal to \(3\) times the number, which equation could be used to find the value of \(m\)?
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Question 20 of 20
20. Question
The Singh family spent \(\$56\) on \(4\) adult movie tickets and one large popcorn at the movies last weekend. If the popcorn cost \(\$8\), which equation can be used to find the cost, \(m\), of each movie ticket, in dollars?
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