LEAP 2025 Algebra I Chapter 10

DOK: 1
1 pt

1.

What is the greatest common factor of $4{x}^{3}$ and $8{x}^{2}$?

A

$4{x}^{2}$

B

$4x$

C

${x}^{2}$

D

$8x$

DOK: 2
1 pt

2.

Factor: $8{x}^{4}-7{x}^{2}+4x$

A

$4x\left(2{x}^{3}-7x+4\right)$

B

$x\left(8{x}^{4}-7{x}^{2}+4x\right)$

C

$x\left(8{x}^{3}-7x+4\right)$

D

$4x\left(2{x}^{3}-7x+1\right)$

DOK: 2
1 pt

7.

Find 1 pair of numbers that will solve both equations below:

A

3 and 16

B

2 and 17

C

11 and 8

D

5 and 14

DOK: 2
1 pt

9.

A trapezoid has two bases. One base has a length of x + 3 and the other base has a length of 4x. If the height of the trapezoid is 2x − 3, find double the area of the trapezoid. Use $A=\frac{\left({b}_{1}+{b}_{2}\right)h}{2}$

A

$3{x}^{2}+3x-9$

B

$10{x}^{2}-9x-9$

C

$5{x}^{2}-\frac{9}{2}x-\frac{9}{2}$

D

$6{x}^{2}-3x-9$