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. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
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Q 1/10
Score 0
Mary had $45 and spent x dollars on groceries. If she has $27 left, which equation represents the situation?
30
45x = 27
45 + x = 27
45 - x = 72
45 - x = 27
Q 2/10
Score 0
If 3 times a number increased by 4 equals 22, which equation best represents this situation?
30
3x / 4 = 22
3x + 4 = 22
3x - 4 = 22
3(x + 4) = 22
10 questions
Q.
Mary had $45 and spent x dollars on groceries. If she has $27 left, which equation represents the situation?
1
30 sec
7.EE.B.4.A
Q.
If 3 times a number increased by 4 equals 22, which equation best represents this situation?
2
30 sec
7.EE.B.4.A
Q.
Liam earns $10 per hour at his job. If he wants to purchase a video game that costs $60, how many hours must he work if he already has $20 saved up?
3
30 sec
7.EE.B.4.A
Q.
Samantha is reading a book that is 300 pages long. If she reads p pages each day and wants to finish the book in 10 days, which equation represents this situation?
4
30 sec
7.EE.B.4.A
Q.
A group of friends wants to buy a gift that costs $120. If each friend contributes $15, how many friends are needed to buy the gift?
5
30 sec
7.EE.B.4.A
Q.
Julia buys 3 notebooks and 5 pencils, spending a total of $23. If the price of one notebook is $4, how much does one pencil cost?
6
30 sec
7.EE.B.4.A
Q.
A recipe calls for 5 cups of flour for every 2 cups of sugar. If Jake wants to make a half batch of the recipe, how many cups of sugar does he need?
7
30 sec
7.EE.B.4.A
Q.
For a charity walk, Logan pledges to donate $5 for every mile he walks. If the total donation Logan made was $65, how many miles did he walk?
8
30 sec
7.EE.B.4.A
Q.
A school is buying tablets for its students. Each tablet costs $75. If the school budget for tablets is $1500, how many tablets can the school purchase?
9
30 sec
7.EE.B.4.A
Q.
A printer has enough ink to print 150 pages and uses the same amount of ink per page. If Kevin prints out 30 pages and then Erica prints twice as many pages as Kevin, how many pages can still be printed with the remaining ink?
