Quiz about Test 5-1 Review 2023

Question 1

Which of the following expressions have a sum of $$7x^2-2x+10$$ . Select three that apply.

Accepted Answer

$$\left(-3x^2-2x+5\right)+\left(10x^2+5\right)$$

Accepted Answer

$$\left(12x^2-x-2\right)+\left(-5x^2-x+12\right)$$

Accepted Answer

$$\left(-4x^2+4x+7\right)+\left(11x^2-6x+3\right)$$

Answer

$$\left(6x^2+2x-8\right)+\left(2x^2-4x+18\right)$$

Answer

$$\left(10x^2-7x-4\right)+\left(-3x^2+5x-6\right)$$

Question 2

What is the perimeter of the triangle PQR shown?

Accepted Answer

$$9x-7$$

Answer

$$7x-4$$

Answer

$$9x+7$$

Answer

$$7x+4$$

Question 3

The graph of $$f\left(x\right)=x^2$$ has been translated 5.2 units to the left to create the graph of function g. Which function represents g?

Accepted Answer

$$g\left(x\right)=\left(x+5.2\right)^2$$

Answer

$$g\left(x\right)=x^2+5.2$$

Answer

$$g\left(x\right)=x^2-5.2$$

Answer

$$g\left(x\right)=\left(x-5.2\right)^2$$

Question 4

Find the area of the rectangle of the graph (hint: area = length $$\cdot$$ width

Accepted Answer

$$18x^2+24x+8$$

Answer

$$18x^2+12x+8$$

Answer

$$9x^2+9x$$

Answer

$$9x^2+6x+8$$

Question 5

The graph shows two parabolas, one of which is the parent function $$f\left(x\right)=x^2$$ . Which function describes the other parabola?

Accepted Answer

$$g\left(x\right)=f\left(x\right)-2$$

Answer

$$g\left(x\right)=f\left(x\right)+2$$

Answer

$$g\left(x\right)=2f\left(x\right)$$

Answer

$$g\left(x\right)=\frac{1}{2}f\left(x\right)$$

Question 6

The graph of f(x) = x²is over the x-axis and is stretched horizontally to create the graph of function g. Which graph could represent g?

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 7

What steps transform the graph of $$y=x^2$$

to $$y=\left(x+5\right)^2-6$$

Accepted Answer

Horizontal shift 5 units to the left, vertical shift down 6 units

Answer

Reflection across the x-axis, horizontal shift 5 units to the left, vertical shift down 6 units

Answer

Horizontal shift 5 units to the right, vertical shift up 6 units

Answer

Reflection across the x-axis, horizontal shift 5 units to the right, vertical shift up 6 units

Question 8

Graph the following function. How is the graph a translation from $$f\left(x\right)=x^2?$$

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

Accepted Answer

Option D is correct

Answer

A.

Answer

B.

Answer

C.

Question 9

Simplify $$\left(4x+6\right)^2$$

Accepted Answer

$$16x^2+48x+36$$

Answer

$$16x^2+36$$

Answer

$$18x^2+10x+36$$

Answer

$$24x^2+36$$

Question 10

Multiply $$\left(x+3\right)\left(x+7\right)$$ .

Accepted Answer

$$x^2+10x+21$$

Answer

$$x^2+10x+10$$

Answer

$$x^2+21$$

Answer

$$2x+10$$

Question 11

Simplify $$\left(6c^2-3c+5\right)+\left(c^2+3c\right)$$

Accepted Answer

$$7c^2+5$$

Answer

$$5c^2-6c+5$$

Answer

$$7c^2-4c$$

Answer

$$7c^2+6c+5$$

Question 12

Subtract $$\left(x^2+7x-10\right)-\left(2x^2-2x+6\right)$$

Accepted Answer

$$-x^2+9x-16$$

Answer

$$-3x^2+5x+4$$

Answer

$$-x^2+5x-4$$

Answer

$$3x^2+5x-4$$

Question 13

What is the product of the multiplication problem shown here? $$\left(3x-1\right)\left(8x-7\right)$$

Accepted Answer

$$24x^2-29x+7$$

Answer

$$24x^2+29x+7$$

Answer

$$24x^2-29x-7$$

Answer

$$24x^2-13x+7$$

Test 5-1 Review 2023

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