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Quiz
•
Mathematics
•
10th Grade
•
Hard
+2
Standards-aligned
Jacob Bultsma
FREE Resource
15 questions
Show all answers
1.
FILL IN THE BLANK QUESTION
1 min • 1 pt
f(x) = x^2 - 4x + 3 Find the vertex
Answer explanation
To find the vertex of the quadratic f(x) = x^2 - 4x + 3, use the vertex formula x = -b/2a. Here, a = 1 and b = -4, so x = 4/2 = 2. Substitute x = 2 into f(x) to find y: f(2) = 2^2 - 4(2) + 3 = -1. Vertex is (2, -1).
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
f(x) = 2x^2 + 8x + 6 what are the x-intercepts
(-1, 0) ) and ( (-3, 0)
(-2,0) (3-2)
(-1,1) (-3,1)
(1,0) (3,0)
Answer explanation
To find the x-intercepts, set f(x) = 0. Solving 2x^2 + 8x + 6 = 0 gives x = -1 and x = -3. Thus, the x-intercepts are (-1, 0) and (-3, 0), making the correct choice (-1, 0) and (-3, 0).
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
| x | y |
|----|----|
| 1 | 3 |
| 2 | 5 |
| 3 | 7 |
| 4 | 9 |
| 5 | 11 |
A) y=2x+1
B) y=2x+2
C) y=2x+3
D) y=3x+1
Answer explanation
To find the relationship between x and y, observe that y increases by 2 for each increase of 1 in x. This indicates a linear relationship. The equation y=2x+1 fits all points, confirming A) y=2x+1 as the correct choice.
4.
FILL IN THE BLANK QUESTION
1 min • 1 pt
Factor the quadratic expression x^2+7x+10. The factored form is: (x + ___)(x + ___)
Answer explanation
To factor x^2 + 7x + 10, we need two numbers that multiply to 10 and add to 7. The numbers 5 and 2 satisfy this. Thus, the factored form is (x + 5)(x + 2).
5.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
What is a possible equation, in factored form, for this graph?
y= (x -3)(x+1)
y= (x +3)(x+1)
y= (x -3)(x-1)
y= (x +3)(x11)
Answer explanation
The correct equation is y= (x +3)(x11) because it represents a polynomial with roots at x = -3 and x = 11, which aligns with the graph's intercepts. The other options do not match the required roots.
Tags
CCSS.HSA.APR.B.3
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Choose the correct answer.
F
G
H
J
Answer explanation
The correct answer is G because it meets the criteria specified in the question, while the other options F, H, and J do not fulfill the requirements.
Tags
CCSS.HSA.APR.A.1
CCSS.HSA.REI.B.4
CCSS.HSA.SSE.A.2
CCSS.HSA.SSE.B.3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
simplify √72
6√2
3√5
2√1
2√6
Answer explanation
To simplify √72, we can factor it as √(36 * 2). Since √36 = 6, we have √72 = 6√2. Thus, the correct answer is 6√2.
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