Interactive multiple-choice quiz: اختبار الوحدة الثالثة الرياضيات ريفيل الصف الثامن
اختبار الوحدة الثالثة الرياضيات ريفيل الصف الثامن الفصل الأول لعام 2026 - 2027 إحجز مكانك واستعد للامتحان بثقة كاملة احصل على الشرح الكامل وحل اختبارات الوحدة الثالثة مادة الرياضيات.
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اختبار شهادة تدريبي مؤقت للصف والمادة والفصل نفسه.
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.
Solve the equation: $\frac{1}{2}x - 5 = 10 - \frac{3}{4}x$
Explanation
To solve $\frac{1}{2}x - 5 = 10 - \frac{3}{4}x$, add $\frac{3}{4}x$ to both sides and add 5 to both sides: $\frac{5}{4}x = 15$. Then $x = 15 \times \frac{4}{5} = 12$.
Question 2
2
Points: 1
Twelve more than seven \times a number equals the number less six. Solve the equation 7x + 12 = x - 6 to find the number, x.
Explanation
$7x + 12 = x - 6 \Rightarrow 6x = -18 \Rightarrow x = -3$.
Question 3
3
Points: 1
For an annual membership fee of 186, Jacy can join the local pool that would allow him to take diving lessons for10 each session with an instructor. Without the membership, the pool charges 25.50 for each diving lesson with an instructor. Solve the equation186 + 10x = 25.5x$ to find how many diving lessons x Jacy can take for the cost to be the same with and without a membership.
Marko has 45 comic books in his collection, and Tamara has 61 comic books. Marko buys 4 new comic books each month and Tamara buys 2 comic books each month. After how many months will Marko and Tamara have the same number of comic books?
A bicycle rental company charges a 20 fee plus5.50 per hour to rent a bicycle. Another bicycle rental company charges a 15 fee plus6.50 per hour to rent a bicycle. For what number of hours is the cost for the rental the same?
Aiden is replacing the tile in a rectangular kitchen. The length of the kitchen is nine feet shorter than three \times its width, w. The perimeter of the kitchen is six \times the width. If tiles cost $1.69 a square foot, what is the total cost to tile the kitchen?
Explanation
Perimeter P = 2(w + 3w - 9) = 8w - 18. Given P = 6w, then $8w - 18 = 6w \Rightarrow w = 9$. Length = 3(9) - 9 = 18. Area = 9 × 18 = 162. Cost = 162 × 1.69 = 273.78.
At a health club, 96 members participate in the morning workout, and this number has been increasing by 2 people per week. In the afternoon, 80 members participate, and this number is decreasing by 3 people per week. Solve 96 + 2w = 2(80 - 3w) to find in how many weeks w the number of people working out in the morning will be double the number of people working out in the afternoon.
The triangle and the square shown have the same perimeter. Solve the equation 3x + 4x + 5x = 4(x + 2) to find the value of x. Then find the length of one side of the square.
Explanation
$12x = 4x + 8 \Rightarrow 8x = 8 \Rightarrow x = 1$. Side = 1 + 2 = 3.
Question 10
10
Points: 1
Mr. Reed is drawing a blueprint of a rectangular patio. The width of the patio is $40 \frac{3}{4}$ feet shorter than twice its length. The perimeter of the patio is $86 \frac{1}{2}$ feet. What is the length of the patio?
Four siblings have a dog walking business. The table shows the hours worked by each sibling. Each sibling earns 25.50 per hour and the total number of hours worked is represented by10h + 15, whereh$ represents the number of hours Michael worked. What was the total amount the siblings earned?
$18 - 30w = 20 - 10w - 20w \Rightarrow 18 - 30w = 20 - 30w \Rightarrow 18 = 20$. This is a false statement, so there is no solution.
Question 13
13
Points: 1
Complete the equation so that it has infinitely many solutions: $2x - 7(x + 10) = \square x - \square$
Explanation
Simplify the \left side: 2x - 7x - 70 = -5x - 70. For infinitely many solutions, the \right side must be identical: -5x - 70. Thus, the boxes are -5 and 70.
Question 14
14
Points: 1
Daniel and Fatima are analyzing the expressions below for all values of x. Daniel claims that the value of these expressions is always equal. Fatima claims that the value of the expression on the \left is always greater than the value of the expression on the \right. Which student is correct? 0.6(-7x + 9) and 4(x - 3) - (-8 + 8.2x)
Explanation
Left: -4.2x + 5.4. Right: 4x - 12 + 8 - 8.2x = -4.2x - 4. Since 5.4 > -4 by 9.4, Fatima is correct.
Question 15
15
Points: 1
Determine if the statement is true or false. Justify your response. An equation will always have at least one solution.
Explanation
The statement is false because equations can have no solution or infinitely many solutions, as shown in the example x + 5 = x + 2.
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