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10th Grade

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Assessment

Quiz

Mathematics

10th Grade

Hard

CCSS
HSA.APR.B.3, HSA.APR.A.1, HSA.REI.B.4

+2

Standards-aligned

Created by

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

Media Image

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

Media Image

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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