اختر إجابة واحدة لكل سؤال. عند الاختيار ستظهر النتيجة فورًا: الأخضر صحيح، والأحمر خطأ، وسيظهر تفسير الإجابة مباشرة إن كان متوفرًا. وبعد آخر سؤال ستظهر الدرجة النهائية تلقائيًا.
To solve 10 - 3x = -5 + 2x, move the variables to one side and the constants to the other: $10 + 5 = 2x + 3x \Rightarrow 15 = 5x$. Then divide both sides by 5 to get x = 3.
السؤال 2
1
النقاط: 10
Solve 10-3x=-5+2x.
السؤال 3
2
النقاط: 10
Solve $\frac{2}{3}x+5=\frac{2}{5}x-3$.
السؤال 4
3
النقاط: 10
Solve 4.06x+3.22=27.16-1.26x.
السؤال 5
4
النقاط: 10
Solve -2a-9=6a+15.
السؤال 6
5
النقاط: 10
Solve 14+3n=5n-6.
السؤال 7
6
النقاط: 10
Solve $\frac{1}{2}x-5=10-\frac{3}{4}x$.
السؤال 8
7
النقاط: 10
Solve $\frac{2}{3}y+1=\frac{1}{6}y+8$.
السؤال 9
8
النقاط: 10
Solve 5.4p+13.1=-2.6p+3.5.
السؤال 10
9
النقاط: 10
Solve 0.15w+0.35=0.22w-0.14.
السؤال 11
10
النقاط: 10
Twelve more than seven \times a number equals the number minus six. Solve 7x+12=x-6.
السؤال 12
11
النقاط: 10
A container has 130 gallons of water and is filled at $\frac{1}{4}$ gallon per second. Another has 200 gallons and drains at $\frac{1}{3}$ gallon per second. Which equation finds the number of seconds s when they contain the same amount?
السؤال 13
12
النقاط: 10
A container has 130 gallons and gains $\frac{1}{4}$ gallon per second, while another has 200 gallons and loses $\frac{1}{3}$ gallon per second. After how many seconds will they contain the same amount?
السؤال 14
13
النقاط: 10
One shipping company charges 7 dollars for the first pound and 0.20 dollars for each additional pound. Another charges 5 dollars for the first pound and 0.30 dollars for each additional pound. Which equation determines the weight p for which the costs are equal?
السؤال 15
14
النقاط: 10
One shipping company charges 7+0.20p dollars and another charges 5+0.30p dollars. For how many pounds p are their costs equal?
السؤال 16
15
النقاط: 10
A rectangular bathroom has side lengths 6x feet and 12x feet. Its perimeter equals 48x-6 feet. If tile costs 8.49 dollars per square foot, what is the total cost to tile the bathroom?
السؤال 17
16
النقاط: 10
Marko has 45 comic books and buys 4 each month. Tamara has 61 and buys 2 each month. After how many months will they have the same number?
السؤال 18
17
النقاط: 10
A fish tank has 150 gallons and drains at $\frac{1}{2}$ gallon per second. Another has 120 gallons and fills at $\frac{1}{4}$ gallon per second. After how many seconds will they contain the same amount?
السؤال 19
18
النقاط: 10
Shipping Company A charges 14 dollars plus 2.25 dollars per pound. Company B charges 20 dollars plus 1.50 dollars per pound. For what package weight are the charges equal?
السؤال 20
19
النقاط: 10
One bicycle rental company charges 20 dollars plus 5.50 dollars per hour. Another charges 15 dollars plus 6.50 dollars per hour. For how many hours are the costs equal?
A rectangular hallway has length $2w+\frac{1}{2}$ feet, width w feet, and perimeter 31 feet. Which option lists both equations that can be used to find w?
السؤال 31
30
النقاط: 10
A rectangular hallway has length $2w+\frac{1}{2}$ feet, width w feet, and perimeter 31 feet. What is its width?
السؤال 32
31
النقاط: 10
Six friends each pay x dollars for a ticket and 8.50 dollars for snacks. Four other friends each pay 2x dollars for a ticket and 6.50 dollars for snacks. Which equation finds x if the two groups spend the same total amount?
السؤال 33
32
النقاط: 10
Six friends each pay x dollars for a ticket and 8.50 dollars for snacks. Four others each pay 2x dollars for a ticket and 6.50 dollars for snacks. If the groups spend the same total amount, what is x?
السؤال 34
33
النقاط: 10
Declan spent x minutes riding his bike, 2.5(x+3)+2.5 minutes at soccer, 15.5 minutes swimming, and 3(x-13.25) minutes walking his dog. The total was 5x+15.75 minutes. What is the ratio of bike time to soccer time?
السؤال 35
34
النقاط: 10
A rectangular patio has width $40\frac{3}{4}$ feet shorter than twice its length. Its perimeter is $86\frac{1}{2}$ feet. What is its length?
السؤال 36
35
النقاط: 10
Each of 12 Yearbook Club members pays amusement-park admission of 1.5x dollars plus 2 dollars for parking. Each of 14 Robotics Club members pays waterpark admission of x dollars plus 10.50 dollars for a meal. If the group totals are equal, what is the waterpark admission per student?
السؤال 37
36
النقاط: 10
Which equation has infinitely many solutions?
السؤال 38
37
النقاط: 10
Which equation has no solution?
السؤال 39
38
النقاط: 10
Complete $4x-2(x+5)=\square x-\square$ so that it has infinitely many solutions. Choose the values in order.
السؤال 40
39
النقاط: 10
Complete $-3x+8x-6-x=\square x-\square$ so that it has no solution. Choose the values in order.
السؤال 41
40
النقاط: 10
Olivia compares $\frac{1}{4}(8+3x)+5$ with $-2\left(\frac{3}{4}x+7\right)+2\frac{1}{4}x+24$. Olivia says they are always equal; Harry says the first is always less than the second. Who is correct?
السؤال 42
41
النقاط: 10
Determine the number of solutions of 4(x-8)+12=2(2x-9).
السؤال 43
42
النقاط: 10
Determine the number of solutions of 3(2k-5)=6(k-4)+9.
السؤال 44
43
النقاط: 10
Determine the number of solutions of $-4y-3=\frac{1}{3}(12y-9)-8y$.
السؤال 45
44
النقاط: 10
Determine the number of solutions of 6(3-5w)=5(4-2w)-20w.
السؤال 46
45
النقاط: 10
Complete $2x-7(x+10)=\square x-\square$ so that it has infinitely many solutions. Choose the values in order.
السؤال 47
46
النقاط: 10
Complete $12x-x+8+3x=\square x+\square$ so that it has infinitely many solutions. Choose the values in order.
السؤال 48
47
النقاط: 10
Complete $-15x+4x+2-x=\square x+\square$ so that it has no solution. Choose the values in order.
السؤال 49
48
النقاط: 10
Complete $9(x-4)-5x=\square x-\square$ so that it has no solution. Choose the values in order.
متابعة النتيجة
تمت الإجابة0 / 49
الإجابات الصحيحة0
الإجابات الخاطئة0
النسبة الحالية0%
انتهى الاختبار
هذه نتيجتك النهائية بعد الإجابة عن جميع الأسئلة.
النتيجة النهائية
0/490%
الإجابات الصحيحة0
الإجابات الخاطئة0
الأسئلة المجابة0 / 49
إجمالي النقاط الممكنة481
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