Question 1

Solve the equation. $( u - 8 ) ( u + 2 ) = - 24$ Please enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Solve the equation. \(( u - 8...

Question 2

The area of a triangle is 35 square inches. One side of the triangle is 11 inches less than three times the length of the altitude to that side. Find the length of that side. __________ inches

Accepted Answer

The answer of The area of a triangle is 35...

Question 3

A strip of uniform width is to be cut off of both sides and both ends of a sheet of paper that is 8 inches by 10 inches in order to reduce the size of the paper to an area of 15 square inches. Find the width of the strip. __________ inches

Accepted Answer

The answer of A strip of uniform width is to...

Question 4

Solve the equation. $x ^ { 2 } - 2 x - 63 = 0$ Please enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Solve the equation. \(x ^ { 2...

Question 5

Solve the equation. $3 a ^ { 2 } - 18 a = 0$ Please enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of Solve the equation. \(3 a ^ {...

Question 6

In an office building, a room contains 81 chairs. The number of chairs per row is 9 less than twice the number of rows. Find the number of rows. __________ rows

Accepted Answer

The answer of In an office building, a room contains...

Question 7

Factor the following polynomial completely. $2 m ^ { 2 } + 11 m + 5$

Accepted Answer

The answer of Factor the following polynomial completely. \(2 m...

Question 8

Factor the following polynomial completely. $2 p ^ { 3 } - 2 p$

Accepted Answer

The answer of Factor the following polynomial completely. \(2 p...

Question 9

Factor the following perfect square trinomial. $64 a ^ { 2 } - 48 a n + 9 n ^ { 2 }$

Accepted Answer

The answer of Factor the following perfect square trinomial. \(64...

Question 10

Factor the following polynomial completely. $5 p ^ { 4 } - 405$

Accepted Answer

The answer of Factor the following polynomial completely. \(5 p...

Question 11

Factor the following polynomial completely. $14 a ^ { 2 } + 9 a n - 8 n ^ { 2 }$

Accepted Answer

The answer of Factor the following polynomial completely. \(14 a...

Question 12

Solve the equation. $t ^ { 3 } - 2 t ^ { 2 } - 3 t = 0$ Please enter your answer as three numbers, separated by commas.

Accepted Answer

The answer of Solve the equation. \(t ^ { 3...

Question 13

Factor the following perfect square trinomial. $16 x ^ { 2 } + 8 x + 1$

Accepted Answer

The answer of Factor the following perfect square trinomial. \(16...

Question 14

Solve the equation. $100 u ^ { 2 } - 220 u + 121 = 0$

Accepted Answer

The answer of Solve the equation. \(100 u ^ {...

Question 15

Solve the equation. $( 11 p - 1 ) ( 7 p - 6 ) = 0$

Accepted Answer

The answer of Solve the equation. \(( 11 p -...

Question 16

The length of a rectangular sheet of paper is 1centimeter more than twice its width and the area of the rectangle is 105 square centimeters. Find the length of the rectangle. __________ centimeters

Accepted Answer

The answer of The length of a rectangular sheet of...

Question 17

Factor the following polynomial completely. $8 u ^ { 2 } + 42 u + 40$

Accepted Answer

The answer of Factor the following polynomial completely. \(8 u...

Question 18

Factor the following polynomial completely. $14 m ^ { 2 } + 38 m + 20$

Accepted Answer

The answer of Factor the following polynomial completely. \(14 m...

Question 19

The sum of the areas of two circles is $65 \pi$ square inches. The length of a radius of the smaller circle is 3 inches less than the length of a radius of the larger circle. Find the length of a radius of the larger circle. __________ inches

Accepted Answer

The answer of The sum of the areas of two...

Question 20

Factor the following perfect square trinomial. $c ^ { 2 } + 8 c + 16$

Accepted Answer

The answer of Factor the following perfect square trinomial. \(c...

Quiz 7: Factoring, Solving Equations and Problem Solving

Solve the equation. (u−8)(u+2)=−24( u - 8 ) ( u + 2 ) = - 24(u−8)(u+2)=−24 Please enter your answer as two numbers, separated by a comma.

The area of a triangle is 35 square inches. One side of the triangle is 11 inches less than three times the length of the altitude to that side. Find the length of that side. __________ inches

A strip of uniform width is to be cut off of both sides and both ends of a sheet of paper that is 8 inches by 10 inches in order to reduce the size of the paper to an area of 15 square inches. Find the width of the strip. __________ inches

Solve the equation. x2−2x−63=0x ^ { 2 } - 2 x - 63 = 0x2−2x−63=0 Please enter your answer as two numbers, separated by a comma.

Solve the equation. 3a2−18a=03 a ^ { 2 } - 18 a = 03a2−18a=0 Please enter your answer as two numbers, separated by a comma.

In an office building, a room contains 81 chairs. The number of chairs per row is 9 less than twice the number of rows. Find the number of rows. __________ rows

Factor the following polynomial completely. 2m2+11m+52 m ^ { 2 } + 11 m + 52m2+11m+5

Factor the following polynomial completely. 2p3−2p2 p ^ { 3 } - 2 p2p3−2p

Factor the following perfect square trinomial. 64a2−48an+9n264 a ^ { 2 } - 48 a n + 9 n ^ { 2 }64a2−48an+9n2

Factor the following polynomial completely. 5p4−4055 p ^ { 4 } - 4055p4−405

Factor the following polynomial completely. 14a2+9an−8n214 a ^ { 2 } + 9 a n - 8 n ^ { 2 }14a2+9an−8n2

Solve the equation. t3−2t2−3t=0t ^ { 3 } - 2 t ^ { 2 } - 3 t = 0t3−2t2−3t=0 Please enter your answer as three numbers, separated by commas.

Factor the following perfect square trinomial. 16x2+8x+116 x ^ { 2 } + 8 x + 116x2+8x+1

Solve the equation. 100u2−220u+121=0100 u ^ { 2 } - 220 u + 121 = 0100u2−220u+121=0

Solve the equation. (11p−1)(7p−6)=0( 11 p - 1 ) ( 7 p - 6 ) = 0(11p−1)(7p−6)=0