Quiz about Algebra 2 Review

Question 1

Solve the system by substitution to find the value of y:

Accepted Answer

2

Answer

1

Answer

3

Answer

-9

Question 2

Michelangelo decided to order Pizza Hut last night. He purchased 3 pizzas and 2 orders of breadsticks for a total of $29.50. Donatello ordered 2 pizzas and 3 orders of breadsticks last Sunday for a total of $23. Set up a system. Let "p" represent the price per pizza and "b" represent the price of an order of breaksticks.

Accepted Answer

3p + 2b = 29.50
2p + 3b = 23

Answer

3p + 2b = 23
2p + 3b = 29.50

Answer

3b + 2p = 29.50
2b + 3p = 23

Answer

5bp = 29.50
5bp = 23

Question 3

Which interval notation matches the graph above?

Accepted Answer

$$\left(6,\infty\right)$$

Answer

$$\left[6,\infty\right)$$

Answer

$$\left(-\infty,6\right)$$

Answer

$$\left(-\infty,6\right]$$

Question 4

Select all transformations that apply to

Accepted Answer

Horizontal stretch by 8

Accepted Answer

Shifts up 9 units

Accepted Answer

Shifts right 4 units

Answer

Vertical shrink by $$\frac{1}{8}$$

Answer

Horizontal shrink by $$\frac{1}{8}$$

Question 5

Simplify the radical:

Accepted Answer

$$52\sqrt{5}$$

Answer

$$5\sqrt{52}$$

Answer

$$20\sqrt{26}$$

Answer

$$26\sqrt{20}$$

Question 6

Which function has a vertex of (-3,2) and contains the point: (-1,18)?

Accepted Answer

$$y=4\left(x+3\right)^2+2$$

Answer

$$y=\left(x+3\right)^2+2$$

Answer

$$y=\left(x-3\right)^2+2$$

Answer

$$y=4\left(x-3\right)^2+2$$

Question 7

Which function has x intercepts of 6 and -4 and contains the point (4,8)?

Accepted Answer

$$y=-\frac{1}{2}\left(x+4\right)\left(x-6\right)$$

Answer

$$y=-2\left(x-6\right)\left(x+4\right)$$

Answer

$$y=0\left(x+6\right)\left(x-4\right)$$

Answer

$$y=\frac{1}{6}\left(x+6\right)\left(x-4\right)$$

Question 8

What is the range of this function?

Accepted Answer

$$\left(-4,3\right]$$

Answer

$$\left[-4,3\right]$$

Answer

$$\left[-4,6\right)$$

Answer

$$\left(-4,3\right)$$

Question 9

What is the y-intercept of this function?

Accepted Answer

$$\left(0,-5\right)$$

Answer

$$\left(3,0\right)$$

Answer

$$\left(-4,0\right)$$

Answer

$$\left(-5,0\right)$$

Question 10

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

Accepted Answer

(-5, -4)

Answer

(5, -4)

Answer

(-15, -4)

Answer

(15, -4)

Question 11

What is the degree of this polynomial?

Accepted Answer

5

Answer

-3

Answer

2

Answer

4

Question 12

What is the constant of this polynomial?

Accepted Answer

-7

Answer

2

Answer

-8

Answer

3

Question 13

What is the leading term of this polynomial?

Accepted Answer

8x5

Answer

1x

Answer

4x3

Answer

-4x2

Question 14

Which equation shows a function that is translated left 4 and 7 up?

Accepted Answer

y = |x + 4| + 7

Answer

y = (x - 4)² + 7

Answer

y = (x + 7)² - 4

Answer

y = |x + 4| - 7

Question 15

9x²- 49y²

Accepted Answer

( 3x - 7y) (3x + 7y)

Answer

( 3x + 7y) (3x + 7y)

Answer

( 3x - 7y) (3x - 7y)

Answer

Prime

Question 16

What absolute value inequality is graphed?

Accepted Answer

$$\left|x-3\right|\le1$$

Answer

$$\left|x+2\right|\le4$$

Answer

$$\left|x-3\right|\ge1$$

Answer

$$\left|x-4\right|\le2$$

Question 17

State the x-intercepts:

$$f\left(x\right)=\frac{\left(x-11\right)\left(x+3\right)}{x-23}$$

Accepted Answer

x = 11, -3

Answer

y = 1

Answer

x = 23

Answer

no x-intercepts

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