SaiBook.us SAT-3

Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Algebra

Grade: Best-SAT3 Lesson: S5-P1

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: at Home

Problem Id	Problem	Options
1	\$(1/4)(x + 5) - (1/3)(x + 5) = -7\$ What value of is the solution to the given equation?	A) 204 B) 79 C) - 12 D) - 5
2	A shop sells two types of pens: regular pens cost $2 each, and premium pens cost $3 each. If the shop sold a total of 300 pens and made $750, how many of each type of pen did they sell?	A) 249 regular and 250 premium pens B) 251 regular and 250 premium pens C) 150 regular and 150 premium pens D) 152 regular and 150 premium pens
3	3x + y = - 3 2( x + 1 ) - 4( x + 1 ) - 6 = y If (x, y) is a solution to the given system of equations and y > 0, what is the value of y?	A) - 18 B) - 16 C) - 20 D) - 14
4	In a triangle, the lengths of the sides are represented by a, b, and c. If a + b > c, b + c > a, and a + c > b, then the triangle is valid. Given a = 3x − 2, b = x + 4, and c = 2x + 1, find the range of values of x for which the triangle is valid.	A) \$ x > 3/4 \$ B) \$ x > 7/4 \$ C) \$ x > 1/4 \$ D) \$ x > 5/4 \$
5	If 2(3t - 10) + t = (40 + 4t), what is the value of 3t?	A) 54 B) 46 C) 60 D) 71
6	A model predicts that a certain animal weighed 241 pounds when it was born and that the animal gained 3 pounds per day in its first year of life. This model is defined by an equation in the form f(x) = a + bx, where f(x) is the predicted weight, in pounds, of the animal x days after it was born, and a and b are constants. What is the value of a?	A) 214 B) 260 C) 206 D) 241
7	According to a model, the head width, in millimeters, of a worker bumblebee can be estimated by adding 0.6 to four times the body weight of the bee, in grams. According to the model, what would be the head width, in millimeters, of a worker bumblebee that has a body weight of 0.5 grams?	A) 3 B) 2.6 C) 3.6 D) 4.6
8	An agricultural scientist studying the growth of corn plants recorded the height of a corn plant at the beginning of a study and the height of the plant each day for the next 12 days. The scientist found that the height of the plant increased by an average of 1.20 centimeters per day for the 12 days. If the height of the plant on the last day of the study was 36.8 centimeters, what was the height, in centimeters, of the corn plant at the beginning of the study?	A) 22.4 cm B) 36.78 cm C) 31 cm D) 23.6 cm
9	Solve the inequality: \$ (2x−1) / (x + 3) > 1 \$	A) \$ x ∈ (−∞,−2) ∪ (3,∞) \$ B) \$ x ∈ (−∞,−3) ∪ (2,∞) \$ C) \$ x ∈ (−∞,−1) ∪ (4,∞) \$ D) \$ x ∈ (−∞,−3) ∪ (4,∞) \$
10	The 7x + 2y = -31 graph in the xy-plane has an x-intercept at (a, 0) and a y-intercept at (0, b), where a and b are constants. What is the value of \$ b/a \$?	A) \$ - 7/2 \$ B) \$ - 2/7 \$ C) \$7/2\$ D) \$ 2/7 \$

Problem Id

Problem

Options

\$(1/4)(x + 5) - (1/3)(x + 5) = -7\$
What value of is the solution to the given equation?

A) 204

B) 79

C) - 12

D) - 5

A shop sells two types of pens: regular pens cost $2 each, and premium pens cost $3 each. If the shop sold a total of 300 pens and made $750, how many of each type of pen did they sell?

A) 249 regular and 250 premium pens

B) 251 regular and 250 premium pens

C) 150 regular and 150 premium pens

D) 152 regular and 150 premium pens

3x + y = - 3
2( x + 1 ) - 4( x + 1 ) - 6 = y

If (x, y) is a solution to the given system of equations and y > 0, what is the value of y?

A) - 18

B) - 16

C) - 20

D) - 14

In a triangle, the lengths of the sides are represented by a, b, and c. If a + b > c, b + c > a, and a + c > b, then the triangle is valid. Given a = 3x − 2, b = x + 4, and c = 2x + 1, find the range of values of x for which the triangle is valid.

A) \$ x > 3/4 \$

B) \$ x > 7/4 \$

C) \$ x > 1/4 \$

D) \$ x > 5/4 \$

If 2(3t - 10) + t = (40 + 4t), what is the value of 3t?

A) 54

B) 46

C) 60

D) 71

A model predicts that a certain animal weighed 241 pounds when it was born and that the animal gained 3 pounds per day in its first year of life. This model is defined by an equation in the form f(x) = a + bx, where f(x) is the predicted weight, in pounds, of the animal x days after it was born, and a and b are constants. What is the value of a?

A) 214

B) 260

C) 206

D) 241

According to a model, the head width, in millimeters, of a worker bumblebee can be estimated by adding 0.6 to four times the body weight of the bee, in grams. According to the model, what would be the head width, in millimeters, of a worker bumblebee that has a body weight of 0.5 grams?

A) 3

B) 2.6

C) 3.6

D) 4.6

An agricultural scientist studying the growth of corn plants recorded the height of a corn plant at the beginning of a study and the height of the plant each day for the next 12 days. The scientist found that the height of the plant increased by an average of 1.20 centimeters per day for the 12 days. If the height of the plant on the last day of the study was 36.8 centimeters, what was the height, in centimeters, of the corn plant at the beginning of the study?

A) 22.4 cm

B) 36.78 cm

C) 31 cm

D) 23.6 cm

Solve the inequality:
\$ (2x−1) / (x + 3) > 1 \$

A) \$ x ∈ (−∞,−2) ∪ (3,∞) \$

B) \$ x ∈ (−∞,−3) ∪ (2,∞) \$

C) \$ x ∈ (−∞,−1) ∪ (4,∞) \$

D) \$ x ∈ (−∞,−3) ∪ (4,∞) \$

The 7x + 2y = -31 graph in the xy-plane has an x-intercept at (a, 0) and a y-intercept at (0, b), where a and b are constants. What is the value of \$ b/a \$?

A) \$ - 7/2 \$

B) \$ - 2/7 \$

C) \$7/2\$

D) \$ 2/7 \$