Quiz #6 Review

3n - 15 + n = 101

A number, n, is added to 15 less than 3 times itself. The result is 101. Which equation can be used to find the value of n?

4p - 7 = 13

Consider the equation 3p - 7 + p = 13. What is the resulting equation after the first step in the solution?

one

How many solutions exist for the given equation? 1/2(x + 12) = 4x - 1

Infinitely many

How many solutions exist for the given equation? 12x+1=3(4x+1)-2

one

How many solutions exist for the given equation? 3(x - 2) = 22 - x

0

Karissa begins to solve the equation 1/2 (x - 14) + 11 =1/2 x - (x - 4). Her work is correct and is shown below. 1/2(x - 14) + 11 =1/2 x - (x - 4) 1/2 x - 7 + 11 =1/2 x - x + 4 1/2 x + 4 = -1/2 x + 4 When she subtracts 4 from both sides,1/2 x = -1/2 x results. What is the value of x?

The equation has no solution.

Lily begins solving the equation 4(x - 1) - x = 3(x + 5) - 11. Her work is shown below. 4(x - 1) - x = 3(x + 5) - 11 4x - 4 - x = 3x + 15 - 11 3x - 4 = 3x + 4 How can her partial solution be interpreted?

months he runs

Sean began jogging to live a healthier lifestyle. On his first run, he ran the one-half mile. He increased his workouts by adding two miles a month to his run. He wrote the equation f(x)= 0.5 + 2x to model his progress. The variable x represents the number of

n=-3

Solve for n. 11(n - 1) + 35 = 3n

x=-12

Solve the equation. −10x + 1 + 7x = 37

x = 1/2

Solve the equation. -3x + 1 + 10x = x + 4

x = 1

Solve the equation. 8 - 2x = -8x + 14

y = 3

Solve the equation. y + 3 = -y + 9

y = 5

Solve the equation. y + 6 = -3y + 26

$11.00

Sonji paid $25.00 for two scarves, which were different prices. When she got home she could not find the receipt. She remembered that one scarf cost $3 more than the other. What was the price of the more expensive scarf?

250.5 - 35m = 300 - 45.25m

The International Business Club starts the school year with $250.50 in their account. They spend $35 each month on activities. The Future Agricultural Leaders Club starts with $300 and spends $45.25 each month. Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?

112 + 25m + 45 = 50 + 60m

Two runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. The second runner has $50 in savings and will save $60 each month. Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?

y = 10

What is the solution to the linear equation? 2.8y + 6 + 0.2y = 5y - 14

p = 1

What is the solution to the linear equation? 2/5 + p = 4/5 + 3/5p

b = 0

What is the solution to the linear equation? 4b + 6 = 2 - b + 4

k = 0.5

What is the solution to the linear equation? 6k + 10.5 = 3k + 12

d = 1

What is the solution to the linear equation? d - 10 - 2d + 7 = 8 + d - 10 - 3d

x = -5

What is the solution to the linear equations? 2/3x - 1/2 = 1/3 + 5/6x

2

What is the value of n in the equation 1/2 (n - 4) - 3 = 3 - (2n + 3)? n =

4

What is the value of x in the equation 1.5(x + 4) - 3 = 4.5(x - 2)?

3 - (n - 1) = 1/2 (3n - 4)

Which equation can be used to represent "three minus the difference of a number and one equals one-half of the difference of three times the same number and four"?

x=-2

Which input value produces the same output value for the two functions on the graph?

4

Which number can each term of the equation be multiplied by to eliminate the fractions the fractions before solving?