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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Linear Equations with One Variable

Grade: 1300-a Lesson: S1-L1

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	3(2x - 6) - 11 = 4(x - 3) + 6 If x is the solution to the equation above, what is the value of x - 3 ?	A) \$ 23/2 \$ B) \$ 17/2 \$ C) \$ 15/2 \$ D) \$ - 15/2 \$
2	2n + 6 = 14 A tree had a height of 6 feet when it was planted. The equation above can be used to find how many years n it took the tree to reach a height of 14 feet. Which of the following is the best interpretation of the number 2 in this context?	A) The number of years it took the tree to double its height. B) The height, in feet, of the tree when the tree was 1 year old. C) The average number of feet that the tree grew per year. D) The average number of years it takes similar trees to grow 14 feet.
3	During a sunny afternoon, a boy with a height of 4 feet casts a shadow that is 10 feet in length. At the same time, in the same location, someone measures the shadow of a tree to be 30 feet long. What is the height of the tree? Solve by using a proportion.	A) $15.00 B) $10.00 C) $18.00 D) $12.00
4	\$ (6x - a)/3 = 2x - 1 \$ If the equation above is true for all values of x and a is a constant, what is the value of a?	A) 3 B) \$ 1/3 \$ C) \$ - 1/3 \$ D) 0
5	The width of a rectangular dance floor is w feet. The length of the floor is 6 feet longer than its width. Which of the following expresses the perimeter, in feet, of the dance floor in terms of w?	A) 4W + 12 B) 2W + 6 C) \$W^2 + 6\$ D) \$W^2 + 6W\$
6	2(p + 1) + 8(p - 1) = 5p What value of p is the solution of the equation above?	A) \$ 6/5 \$ B) \$ 2/5 \$ C) \$ 8/7 \$ D) 2
7	If 5(x + 4) = 4(x + 4) + 29, what is the value of x?	A) 29 B) -4 C) 25 D) 33
8	The weight of three bricks plus 22 pounds is equal to the weight of five bricks minus 12 pounds. What is the weight of one brick?	A) 13 B) 17 C) 8 D) 34
9	4,200 = 2,900 + 130t In 1998, the population of crickets in a certain rainforest was 2,900. The above equation models the increase in the population of crickets in t years after 1998, where t satisfies the equation. Which of the following is the best interpretation of the number 130 in the equation?	A) The population of crickets in the rain forest before 1998. B) The total increase in the population of crickets in the rain forest after 1998 for t years. C) The average increase in the population of crickets in the rain forest each year after 1998 for t years. D) The difference in the population of crickets in the rain forest from 1998 till present.
10	Which value of x makes the equation \$(8/5)(x + 33/12) = 16\$ true?	A) 8.75 B) 13.25 C) 12.75 D) 7.25

Problem Id

Problem

Options

3(2x - 6) - 11 = 4(x - 3) + 6

If x is the solution to the equation above, what is the value of x - 3 ?

A) \$ 23/2 \$

B) \$ 17/2 \$

C) \$ 15/2 \$

D) \$ - 15/2 \$

2n + 6 = 14

A tree had a height of 6 feet when it was planted. The equation above can be used to find how many years n it took the tree to reach a height of 14 feet. Which of the following is the best interpretation of the number 2 in this context?

A) The number of years it took the tree to double its height.

B) The height, in feet, of the tree when the tree was 1 year old.

C) The average number of feet that the tree grew per year.

D) The average number of years it takes similar trees to grow 14 feet.

During a sunny afternoon, a boy with a height of 4 feet casts a shadow that is 10 feet in length. At the same time, in the same location, someone measures the shadow of a tree to be 30 feet long. What is the height of the tree? Solve by using a proportion.

A) $15.00

B) $10.00

C) $18.00

D) $12.00

\$ (6x - a)/3 = 2x - 1 \$

If the equation above is true for all values of x and a is a constant, what is the value of a?

A) 3

B) \$ 1/3 \$

C) \$ - 1/3 \$

D) 0

The width of a rectangular dance floor is w feet. The length of the floor is 6 feet longer than its width. Which of the following expresses the perimeter, in feet, of the dance floor in terms of w?

A) 4W + 12

B) 2W + 6

C) \$W^2 + 6\$

D) \$W^2 + 6W\$

2(p + 1) + 8(p - 1) = 5p

What value of p is the solution of the equation above?

A) \$ 6/5 \$

B) \$ 2/5 \$

C) \$ 8/7 \$

D) 2

If 5(x + 4) = 4(x + 4) + 29, what is the value of x?

A) 29

B) -4

C) 25

D) 33

The weight of three bricks plus 22 pounds is equal to the weight of five bricks minus 12 pounds. What is the weight of one brick?

A) 13

B) 17

C) 8

D) 34

4,200 = 2,900 + 130t

In 1998, the population of crickets in a certain rainforest was 2,900. The above equation models the increase in the population of crickets in t years after 1998, where t satisfies the equation. Which of the following is the best interpretation of the number 130 in the equation?

A) The population of crickets in the rain forest before 1998.

B) The total increase in the population of crickets in the rain forest after 1998 for t years.

C) The average increase in the population of crickets in the rain forest each year after 1998 for t years.

D) The difference in the population of crickets in the rain forest from 1998 till present.

Which value of x makes the equation \$(8/5)(x + 33/12) = 16\$ true?

A) 8.75

B) 13.25

C) 12.75

D) 7.25