SaiBook.us SAT-2

Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Linear Equations with One Variable

Grade: 1400-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: at Home

Problem Id	Problem	Options
1	\$(4 + z - (3 + 2z))/6 = (-z - 3(5 - 2))/7\$, What is the value of z? (Hint:-Simplify the numerators before clearing the equation of fractions)	A) - 61 B) 61 C) \$61/27\$ D) - \$61/27\$
2	A laser tag arena sells two types of one-year memberships. Package A costs $325 and includes an unlimited number of visits. Package B has a $125 enrollment fee, includes five free visits, and costs an additional $8 per visit after the first five. How many visits would a person need to use for Package B to cost the same amount as Package A?	A) 20 B) 25 C) 30 D) 40
3	\$- 3x + 21px = 84\$ In the given equation, p is a constant. The equation has no solution. What is the value of p?	A) 0 B) \$4/3\$ C) 4 D) \$1/7\$
4	In a practice long-jump competition, Vera gets 5 points for landing over the nearer line and 10 points for landing over the more distant line. Out of 7 jumps, x jumps are over the more distant line and the rest are over the nearer line. Which of the following equations represents the relationship between Vera’s total score, c, and x?	A) c = 5x + 35 B) c = 10x C) c = 10x + 5 D) c = 70 - 5x
5	\$(1/2) (3x + 14) = (1/6) (7x - 10)\$ Which value of x satisfies the given equation?	A) - 26 B) 2 C) 8 D) 16
6	John paid a total of $165 for a microscope by making a down payment of $37 plus p monthly payments of $16 each. Which of the following equations represents this situation?	A) 16p + 37 = 165 B) 37p - 16 = 165 C) 16p - 37 = 165 D) 37p + 16 = 165
7	If \$(x + 6)/3\$ = \$(x + 6)/13\$ the value of \$x + 6\$ is between which of the following pairs of values?	A) - 2 and 2 B) - 7 and - 3 C) 2 and 7 D) 8 and 13
8	Nayya burns 5 kilocalories per minute running on a treadmill and 10 kilocalories per minute pedaling on a stationary bike. Which of the following equations represents the total number of kilocalories, T, Nayya has burned after running on the treadmill for 50 minutes and pedaling on the stationary bike for m minutes?	A) T = 15m + 50 B) T = 10m + 250 C) T = 50m + 50 D) T = 5m + 500
9	\$P = 1.20x + 5.00 \$ The given equation gives the total monthly price P, in dollars, for using an online gaming service. The total monthly price for the online service consists of a flat monthly fee and a charge for each game played during a month. Of the following, which is the best interpretation of the value of x in this context?	A) The flat monthly fee, in dollars, for the gaming service B) The charge, in dollars, for playing x games C) The number of games played during a month D) The number of months the gaming service was used
10	If \$ 3.5((3x + 5)/2.5) = (2x - 8)/4 \$, what is the value of x?	A) \$ - 13/17 \$ B) \$ - 15/37 \$ C) \$ 97/11 \$ D) \$ - 90/37 \$

Problem Id

Problem

Options

\$(4 + z - (3 + 2z))/6 = (-z - 3(5 - 2))/7\$, What is the value of z? (Hint:-Simplify the numerators before clearing the equation of fractions)

A) - 61

B) 61

C) \$61/27\$

D) - \$61/27\$

A laser tag arena sells two types of one-year memberships. Package A costs $325 and includes an unlimited number of visits. Package B has a $125 enrollment fee, includes five free visits, and costs an additional $8 per visit after the first five. How many visits would a person need to use for Package B to cost the same amount as Package A?

A) 20

B) 25

C) 30

D) 40

\$- 3x + 21px = 84\$
In the given equation, p is a constant. The equation has no solution. What is the value of p?

A) 0

B) \$4/3\$

C) 4

D) \$1/7\$

In a practice long-jump competition, Vera gets 5 points for landing over the nearer line and 10 points for landing over the more distant line. Out of 7 jumps, x jumps are over the more distant line and the rest are over the nearer line. Which of the following equations represents the relationship between Vera’s total score, c, and x?

A) c = 5x + 35

B) c = 10x

C) c = 10x + 5

D) c = 70 - 5x

\$(1/2) (3x + 14) = (1/6) (7x - 10)\$
Which value of x satisfies the given equation?

A) - 26

B) 2

C) 8

D) 16

John paid a total of $165 for a microscope by making a down payment of $37 plus p monthly payments of $16 each. Which of the following equations represents this situation?

A) 16p + 37 = 165

B) 37p - 16 = 165

C) 16p - 37 = 165

D) 37p + 16 = 165

If \$(x + 6)/3\$ = \$(x + 6)/13\$ the value of \$x + 6\$ is between which of the following pairs of values?

A) - 2 and 2

B) - 7 and - 3

C) 2 and 7

D) 8 and 13

Nayya burns 5 kilocalories per minute running on a treadmill and 10 kilocalories per minute pedaling on a stationary bike. Which of the following equations represents the total number of kilocalories, T, Nayya has burned after running on the treadmill for 50 minutes and pedaling on the stationary bike for m minutes?

A) T = 15m + 50

B) T = 10m + 250

C) T = 50m + 50

D) T = 5m + 500

\$P = 1.20x + 5.00 \$
The given equation gives the total monthly price P, in dollars, for using an online gaming service. The total monthly price for the online service consists of a flat monthly fee and a charge for each game played during a month. Of the following, which is the best interpretation of the value of x in this context?

A) The flat monthly fee, in dollars, for the gaming service

B) The charge, in dollars, for playing x games

C) The number of games played during a month

D) The number of months the gaming service was used

If \$ 3.5((3x + 5)/2.5) = (2x - 8)/4 \$, what is the value of x?

A) \$ - 13/17 \$

B) \$ - 15/37 \$

C) \$ 97/11 \$

D) \$ - 90/37 \$