SaiBook.us SAT-3

Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Algebra

Grade: Best-SAT3 Lesson: S5-P2

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Problem Id	Problem	Options
1	\$(2(x + 1))/(x + 5) = 1 - 1/(x + 5)\$ What is the solution to the equation above?	A) 0 B) 3 C) 2 D) 5
2	Two cars start from the same point and travel in opposite directions. One car travels 20 miles per hour faster than the other. After 3 hours, the distance between the two cars is 270 miles. Find the speed of each car.	A) 35 mph (slower car) 55 mph (faster car) B) 53 mph (slower car) 55 mph (faster car) C) 53 mph (slower car) 35 mph (faster car) D) 35 mph (slower car) 35 mph (faster car)
3	Which of the following systems of linear equations has no solution?	A) x = 3 y = 10 B) y = 10 y = 10x + 10 C) y = 14x + 14 y = 10x + 14 D) y = 6x + 3 y = 6x + 9
4	A radioactive substance decays according to the model \$N(t) = N_0(e)^−kt\$, where \$N_0\$ is the initial quantity, k is the decay constant, and tt is time. If a sample initially has 500 grams and decays to 200 grams in 3 years, find the decay constant k.	A) 0.35 B) 0.305 C) 0.503 D) 0.53
5	Which of the following systems of equations has infinite solutions?	A) x + 2y = 5 2x + 4y = 10 B) 3x − y = 4 6x − 2y = 8 C) 2x + 3y = 6 4x + 6y = 12 D) 2x + 5y = 10 4x + 10y = 20
6	Find the value of m for which the system has no solutions: 2x + my = 6 4x + 2y = 12	A) m = 7 B) m = 5 C) m = 6 D) m = 8
7	Which of the following is equivalent to \$(1 - p) (1 + p + p^2 + p^3 + p^4 + p^5 + p^6)\$?	A) \$1 - p^6\$ B) \$1 - p^3\$ C) \$1 - p^7\$ D) \$1 - p^5\$
8	The expression \$90y^5 - 54y^4\$ is equivalent to \$ry^4(15y - 9)\$ , where r is a constant. What is the value of r?	A) - 6 B) 15 C) - 15 D) 6
9	Find the values of k for which the following system of linear equations has infinite solutions: x + 2y − z = 3 2x + 4y − 2z = 6 kx + 6y − 3z = 9	A) k = 3 B) k = 5 C) k = 2 D) k = 4
10	A farm produces two types of fertilizers: Fertilizer A and Fertilizer B. The farm has a total of 100 pounds of fertilizer. Fertilizer A contains 30% nitrogen and 70% phosphorus, while Fertilizer B contains 50% nitrogen and 50% phosphorus. If the farm wants to have a total of 40 pounds of nitrogen, how many pounds of each type of fertilizer should they use?	A) A = 60 pounds and B = 50 pounds B) A = 50 pounds and B = 50 pounds C) A = 45 pounds and B = 55 pounds D) A = 50 pounds and B = 60 pounds

Problem Id

Problem

Options

\$(2(x + 1))/(x + 5) = 1 - 1/(x + 5)\$
What is the solution to the equation above?

A) 0

B) 3

C) 2

D) 5

Two cars start from the same point and travel in opposite directions. One car travels 20 miles per hour faster than the other. After 3 hours, the distance between the two cars is 270 miles. Find the speed of each car.

A) 35 mph (slower car) 55 mph (faster car)

B) 53 mph (slower car) 55 mph (faster car)

C) 53 mph (slower car) 35 mph (faster car)

D) 35 mph (slower car) 35 mph (faster car)

Which of the following systems of linear equations has no solution?

A) x = 3
y = 10

B) y = 10
y = 10x + 10

C) y = 14x + 14
y = 10x + 14

D) y = 6x + 3
y = 6x + 9

A radioactive substance decays according to the model \$N(t) = N_0(e)^−kt\$, where \$N_0\$ is the initial quantity, k is the decay constant, and tt is time. If a sample initially has 500 grams and decays to 200 grams in 3 years, find the decay constant k.

A) 0.35

B) 0.305

C) 0.503

D) 0.53

Which of the following systems of equations has infinite solutions?

A) x + 2y = 5
2x + 4y = 10

B) 3x − y = 4
6x − 2y = 8

C) 2x + 3y = 6
4x + 6y = 12

D) 2x + 5y = 10
4x + 10y = 20

Find the value of m for which the system has no solutions:

2x + my = 6
4x + 2y = 12

A) m = 7

B) m = 5

C) m = 6

D) m = 8

Which of the following is equivalent to \$(1 - p) (1 + p + p^2 + p^3 + p^4 + p^5 + p^6)\$?

A) \$1 - p^6\$

B) \$1 - p^3\$

C) \$1 - p^7\$

D) \$1 - p^5\$

The expression \$90y^5 - 54y^4\$ is equivalent to \$ry^4(15y - 9)\$ , where r is a constant. What is the value of r?

A) - 6

B) 15

C) - 15

D) 6

Find the values of k for which the following system of linear equations has infinite solutions:
x + 2y − z = 3
2x + 4y − 2z = 6
kx + 6y − 3z = 9

A) k = 3

B) k = 5

C) k = 2

D) k = 4

A farm produces two types of fertilizers: Fertilizer A and Fertilizer B. The farm has a total of 100 pounds of fertilizer. Fertilizer A contains 30% nitrogen and 70% phosphorus, while Fertilizer B contains 50% nitrogen and 50% phosphorus. If the farm wants to have a total of 40 pounds of nitrogen, how many pounds of each type of fertilizer should they use?

A) A = 60 pounds and B = 50 pounds

B) A = 50 pounds and B = 50 pounds

C) A = 45 pounds and B = 55 pounds

D) A = 50 pounds and B = 60 pounds