Algebra 1 Math Prep
Quiz
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
+7
Standards-aligned
Anthony Clark
FREE Resource
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19 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Maya is designing a triangular garden. She knows the area of the triangle can be calculated using the formula: Area = 0.5 * Base * Height. Given the following dimensions for her garden:
B = 3b2
H = 12p7b19
18b21p7
18b7p21
36b21p7
36b38p7
Answer explanation
The area of a triangle is given by the formula A = 1/2 * B * H. Substituting B = 3b^2 and H = 12p^7b^19, we get A = 1/2 * 3b^2 * 12p^7b^19 = 18b^(2+19)p^7 = 18b^21p^7. Thus, the correct answer is 18b^21p^7.
Tags
CCSS.HSA.APR.A.1
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
-64p20/ 49r6
64p20/ 49r6
-8p20/ 14r6
-64p12/ 49r5
Answer explanation
To simplify \left(\frac{-8p^{10}}{7r^3}\right)^{2}, square both the numerator and denominator: (-8)^2 = 64, (p^{10})^2 = p^{20}, and (7r^3)^2 = 49r^6. Thus, the result is \frac{64p^{20}}{49r^{6}}.
Tags
CCSS.HSA.APR.A.1
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Answer explanation
To simplify \(\sqrt{100d^6f^4z^2}\), we take the square root of each factor: \(\sqrt{100} = 10\), \(\sqrt{d^6} = d^3\), \(\sqrt{f^4} = f^2\), and \(\sqrt{z^2} = z\). Thus, the result is \(10d^3f^2z\).
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Arjun is organizing his book collection. He has 55 books on one shelf and decides to remove 53 books to donate. How many books are left on the shelf, expressed using exponents?
5-15
58
5-8
52
Answer explanation
To simplify 5^5 * 5^-3, use the property of exponents that states a^m * a^n = a^(m+n). Here, 5^(5 + (-3)) = 5^2. Thus, the correct answer is 5^2.
Tags
CCSS.8.EE.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Nora is organizing a math competition and she wants to include a question about exponents. She writes the following expression:
(xyz)0 =
0
1
xyz
-1
Answer explanation
Any non-zero number or variable raised to the power of 0 equals 1. Therefore, (xyz)^0 simplifies to 1.
Tags
CCSS.6.EE.A.1
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Isla is designing a rectangular garden. If the ratio of the length to the width of the garden is 3:2 and the width is 8 cm, what is the length?
10 cm
5 cm
12 cm
15 cm
Answer explanation
The ratio of length to width is 3:2. Given the width is 8 cm, we can set up the equation: length = (3/2) * width = (3/2) * 8 = 12 cm. Thus, the length of the rectangle is 12 cm.
Tags
CCSS.7.G.A.1
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Michael scored 19 out of 25 on his math test. What is his score as a percent?
19%
25%
76%
50%
Answer explanation
To convert 19/25 to a percent, divide 19 by 25 to get 0.76, then multiply by 100. This gives 76%, which is the correct answer.
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