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Mathematics

Unit 6 Review

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20 questions

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1. Multiple-choice

30 seconds

1 pt

A part of linear function $g$ is shown on the grid.
Which inequalities best describe the domain and range of the part shown?

D: $-2\le x<3$
R: $-6<g\left(x\right)\le3$

D: $-6\le x<3$
R: $-2<g\left(x\right)\le1$

D: $-6<x\le3$
R: $-2\le g\left(x\right)<1$

D: $-2<x\le1$
R: $-6\le g\left(x\right)<3$
2. Multiple-choice

30 seconds

1 pt

A shoe company is going to close one of its two stores and combine all the inventory from both stores. These polynomials represent the inventory in each store:

Store A:
$\frac{1}{2}g^2+\frac{9}{2}$

Store B:
$4g^2-\frac{3}{5}g+\frac{3}{4}$

Which expression represents the combined inventory of the two stores?

$\frac{9}{2}g^2-\frac{3}{5}g+\frac{21}{4}$

$\frac{9}{2}g^2+\frac{39}{10}g+\frac{3}{4}$

$-\frac{7}{2}g^2+\frac{3}{5}g+\frac{15}{4}$

$-\frac{7}{2}g^2+\frac{51}{10}g-\frac{3}{4}$
3. Multiple-choice

30 seconds

1 pt

Which expression is equivalent to: $-7x^2+\left(5x-4x^2\right)+3-\left(8x+9\right)$

$-3x^2+3x-6$

$-11x^2+13x+12$

$-11x^2-3x-6$

$-3x^2+19x-27$
4. Multiple-choice

30 seconds

1 pt

Which expression is equivalent to: $\left(x^2+7x-6\right)\left(-5x+2\right)$

$-4x^2+9x-6$

$-5x^3-33x^2+44x-12$

$-5x^3-37x+16x-12$

$x^2+2x-4$
5. Multiple-choice

30 seconds

1 pt

Which expression is equivalent to:
$\left(\frac{5}{2}x+5\right)\left(\frac{1}{2}x+1\right)$

$\frac{5}{4}x^2+5$

$3x+6$

$\frac{5}{4}x^2+10x+5$

$\frac{5}{4}x^2+5x+5$
6. Multiple-choice

30 seconds

1 pt

The area of a rectangular sheet of paper is represented by $14x^2+55x+21.$ If the length is $\left(2x+7\right),$ what is the width of the paper?

$28x^2+114x+56$

$7x+3$

$3x+7$

$28x^3+208x^2+427x+147$
7. Multiple-choice

30 seconds

1 pt

Find the area of the rectangle.

$10x^2+8x-2$

$7x+1$

$14x+2$

$10x^2+12x+2$
8. Multiple-choice

30 seconds

1 pt

The area of a square is $16x^2+24x+9.$ If the length of one side of the square is $4x+3,$ what is the other side length?

$4x-3$

$16x^2+20x+6$

$4x+3$

$3x+4$
9. Multiple-choice

30 seconds

1 pt

Write an equivalent expression to:

$\left(7-8s-12s^2\right)+\left(-s^2-11s-6\right)$

$6s^2-19s-18$

$-11s^2+3s+13$

$12s^4+140s^3+153s^2-29s-42$

$-13s^2-19s+1$
10. Multiple-choice

30 seconds

1 pt

Use the side lengths given to find the perimeter of the figure in terms of x.

$11x^2-5x+17$

$11x^2+19x+17$

$8x^2-x+10$

$7x^2+13x+3$
11. Multiple-choice

30 seconds

1 pt

Write an expression equivalent to:

$\left(m-9\right)^2$

$m^2+81$

$m^2-18m+81$

$m^2-81$

$m^2+18m+81$
12. Multiple-choice

30 seconds

1 pt

Write an expression equivalent to: $\left(-3r^2+6r+4\right)-\left(-9r^2-4r-12\right)$

$-6r^2-2r+8$

$-6r^2-10r-16$

$6r^2+2r-8$

$6r^2+10r+16$
13. Multiple-choice

30 seconds

1 pt

Write an expression equivalent to:

$\frac{6x^2-13x-28}{2x-7}$

$6x^2-11x-35$

$3x-4$

$3x+4$

$12x^3-68x^2+35x+196$
14. Multiple-choice

30 seconds

1 pt

Write an expression equivalent to:

$13b\left(12b-7\right)$

$156b-91$

$156b^2-91b$

$156b^2-7$

$156b-7$
15. Multiple-choice

30 seconds

1 pt

The graph of linear function $f$ passes through $\left(-4,\ -1\right)$ and $\left(8,\ 8\right).$ What are the slope and y-intercept of function $f$ ?

The slope is $-\frac{1}{4}$ and the y-intercept is $-7$ .

The slope is $\frac{1}{4}$ and the y-intercept is $-2$ .

The slope is $-\frac{1}{4}$ and the y-intercept is $-2.$

The slope is $\frac{1}{4}$ and the y-intercept is $-7.$
16. Fill-in-the-Blank

30 seconds

1 pt

What value of $x$ makes the equation true?
$5x-6\left(3x+2\right)=-7\left(2x+4\right)$
Type the number only. Do not type the x=.
17. Multiple-choice

30 seconds

1 pt

Write an expression equivalent to:

$\frac{-91x^2+39x}{-13x}$

$7x^2-3x$

$1183x^3-507x^2$

$-7x+3$

$7x-3$
18. Fill-in-the-Blank

30 seconds

1 pt

What is the value of $y$ in the solution to this system of equations?
$2x-9y=-42$
$y=-4x-8$
*Type the number only. *
19. Multiple-choice

30 seconds

1 pt

What is the area of a rectangular piece of paper with a length of $\left(8x-3\right)$ and a width of $\left(6x-5\right)?$

$48x^2-58x+15$

$14x-8$

$28x-16$

$24x^2-29x+7.5$
20. Multiple-choice

30 seconds

1 pt

Which expression is equivalent to $7x^2-\frac{3}{4}\left(4x-5\right)+4x^2?$

$7x^2+7x-\frac{15}{4}$

$7x^2+x+\frac{15}{4}$

$11x^2-3x+\frac{15}{4}$

$11x^2-3x-\frac{15}{4}$
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