Solving Linear Equations: Variable on One Side

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

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

4p - 7 = 13

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?

$11.00

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

1.5

Fiona solved the equation shown. 1/3 - 1/3(6x - 3) = -13/2 What is the missing step of her solution? Simplify by combining like terms. Simplify by using addition property of equality. Simplify by using the multiplication property of equality. Simplify by using the division property of equality.

Simplify by combining like terms.

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

months he runs

Deepak wrote out the steps to his solution of the equation 5/2 - 3x - 5 + 4x = -7/4 Which step has an incorrect instruction? Step 1 Step 2 Step 3 Step 4

step 1

Rahul solved the equation 2(x - -1/8) -3/5x = 55/4. In which step did he use the addition property of equality? Step 1 Step 2 Step 3 Step 4

step 3

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

x=-12

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

x=-2