Question 1

Solve the equation. -9k² - 49 = 0 A) B) C) D) { 7, 0}

Accepted Answer

The answer of Solve the equation. -9k² - 49 = 0 A)...

Question 2

Solve the equation.
- = 25y
A) { 25}
B) {0, 5}
C) {-5, 5}
D) {0, 25}

Accepted Answer

The answer of Solve the equation.
- = 25y
A) { 25}
B)...

Question 3

Solve the equation.
-x(x - 20) = -100
A) { 10, -10}
B) {-10}
C) { 20}
D) { 10}

Accepted Answer

The answer of Solve the equation.
-x(x - 20) = -100
A)...

Question 4

Solve the equation.
-(x - 4)(  - 10x + 21) = 0
A) { -4, -7, -3}
B) { 4}
C) { 4, 7, 3}
D) { -4}

Accepted Answer

The answer of Solve the equation.
-(x - 4)(  -...

Question 5

Solve the problem.
-The length of a rectangular flower bed is 11 ft. less than 3 times its width. The area of the bed is 20  . Find the dimensions of the flower bed.
A) 5 ft by 4 ft
B) 3 ft by 4 ft
C) 3 ft by 3 ft
D) 5 ft by 1 ft

Accepted Answer

The answer of Solve the problem.
-The length of a rectangular...

Question 6

Solve the problem.
-The product of two consecutive integers is 41 more than their sum. Find the integers.
A) 7, 8
B) -6, -5
C) 7, 8 or -6, -5
D) 6, 7 or -6, -5

Accepted Answer

Let the two consecutive integers be $x$ and $x+1$. Their product is $x(x+1)$ and their sum is $x + (x+1) = 2x + 1$. The equation based on the given information is $x(x+1) = 2x + 1 + 41$, simplifying to $x^2 + x = 2x + 42$, and further to $x^2 - x - 42 = 0$. Factoring the quadratic equation gives $(x-7)(x+6) = 0$, leading to $x = 7$ or $x = -6$, thus the consecutive integers are either 7 and 8 or -6 and -5.

Question 7

Solve the problem.
-A lot is in the shape of a right triangle. The shorter leg measures 60 meters. The hypotenuse is 20 meters longer than the length of the longer leg. How long is the longer leg?
A) 80 m
B) 120 m
C) 100 m
D) 60 m

Accepted Answer

The answer of Solve the problem.
-A lot is in the...

Question 8

Solve the problem.
-The table shows the population of a city for five years.

This data was used to develop the quadratic equation  , which models the population of the city y in millions in the year x, where x = 0 represents 2007, x = 1 represents 2008, and so on. Use the model to find the estimated population in the year 2009.
A) 1,490,000,000,000
B) 1,490,000
C) 65,538,000
D) 66,822,000

Accepted Answer

The answer of Solve the problem.
-The table shows the population...

Quiz 7: Rational Expressions and Applications

Solve the equation. -9k² - 49 = 0

Solve the equation. - = 25y

Solve the equation. -x(x - 20) = -100

Solve the equation. -(x - 4) ( - 10x + 21) = 0

Solve the problem. -The length of a rectangular flower bed is 11 ft. less than 3 times its width. The area of the bed is 20 . Find the dimensions of the flower bed.

Solve the problem. -The product of two consecutive integers is 41 more than their sum. Find the integers.

Solve the problem. -A lot is in the shape of a right triangle. The shorter leg measures 60 meters. The hypotenuse is 20 meters longer than the length of the longer leg. How long is the longer leg?