Solving Linear Equations: Variable on One Side pre test

What is the input value for which the statement f(x) = g(x) is true? 0.25 0.5 1.5 2.75

1.5

The Apache Taxi Company charges $2.50 to pick up a passenger and then adds $1.95 per mile. Isaac was charged $27.46 to go from one city to another. If x represents the number of miles driven by the taxi, which linear equation can be used to solve this problem, and how many miles did Isaac travel, rounded to the nearest tenth? 1.95x + 2.50 = 27.46; Isaac traveled 15.4 miles. 1.95x + 2.50 = 27.46; Isaac traveled 12.8 miles. 2.50x + 1.95 = 27.46; Isaac traveled 11.8 miles. 2.50x + 1.95 = 27.46; Isaac traveled 10.2 miles

1.95x+2.50=27.46;isaac traveled 12.8

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? 3n - 15 + n = 101 3n + 15 + n = 101 3n - 15 - n = 101 3n + 15 - n = 101

3n - 15 + n = 101

Consider the equation 3p - 7 + p = 13. What is the resulting equation after the first step in the solution p - 7 = 13 - 3p 2p - 7 = 13 3p - 7 = 13 - p 4p - 7 = 13

4p-7=13

Which input value produces the same output value for the two functions on the graph? x = −1 x = 0 x = 1 x = 2

x=1

Which input value produces the same output value for the two functions? x = -3 x = -1 x = 0 x = 1

x=1

Which input value produces the same output value for the two functions on the graph? x = -3 x = -1 x = 1 x = 3

x=3

Mustafa's soccer team is planning a school dance as a fundraiser. The DJ charges $200 and decorations cost $100. The team decides to charge each student $5.00 to attend the dance. If n represents the number of students attending the dance, which equation can be used to find the number of students needed to make $1,500 in profit 5n - 300 = 1,500 5n + 300 = 1,500 5n - 200 + 100n = 1,500 5n - 100 - 200n = 1,500

5n-300=1,500

What are the possible steps involved in solving the equation shown? Check all that apply. 3.5 + 1.2(6.3 - 7x) = 9.38 Add 3.5 and 1.2. Distribute 1.2 to 6.3 and -7x . Combine 6.3 and -7x . Combine 3.5 and 7.56. Subtract 11.06 from both sides. Divide both sides by 9.38.

Distribute 1.2 to 6.3 and -7x Combine 3.5 and 7.56. Subtract 11.06 from both sides.