UNIT 1 STUDY GUIDE

Kevin rented a car. The total rental cost included a one-time fee of $50 and a fee of $0.60 for each mile, m, driven. Write an equation to represent the total cost for Kevin renting and using the car if the total cost equaled $170.

• 170 = 50 + 0.60m

• 170 = 50m + 0.60

• 170 = 0.60 + 50m

• 170 = 0.60m + 50

Steve is using fencing to build a rectangular garden. The width of the garden is 40 feet and the total fencing used to enclose the garden measures 180 feet. Which equation can be used to find the length, l, of the garden in feet?

• 40l = 180

• 40 + 2l = 180

• 80 + 2l = 180

• 80l = 180

Given the formula F = ma, what is the formula for mass, m?

• m = F/a

• m = Fa

• m = a/F

• m = F - a

The formula for the area of a pentagon is defined as P = 5/2 sa where s represents the length of one side of the pentagon and a represents the apothem. Rewrite the formula in terms of a.

• 5/2PS = a

• 5P/2s = a

• 2P/5s = a

• 2/5P - s = a

Who's work is correct?

• Morgan

• Katelyn

Jordan is solving the following equation. 3|x + 1| = 9 After completing his first step in the solving process, which equation is equivalent to Jordan’s equation?

• |x + 1| = 3

• 3x + 3 = 9

• |x + 1| = -3

• 3x - 3 = 9

Erica solved this equation using the steps below. |x + 5| = 6

Step 1: x + 5 = 6

Step 2: x + 5 - 5 = 6 - 5

Step 3: x = 1

What additional step should Erica do to determine the complete solution to the equation?

• Erica should include the opposite of 1 as a second solution.

• Erica should also solve for x + 5 = -6.

• Erica should include the reciprocal of 1 as a second solution.

• Erica should also solve for -x - 5 = -6.

Find the error in the process of solving the equation.

• Given: 18 = 10 - 8(x - 2)

• Step 1: 18 = 10 + 8x + 16

• Step 2: 18 = 26 + 8x

• Step 3: 18 - 26 = 26 + 8x - 26

• Step 3: -8 = 8x

Solve the equation, 12 = 6 - 4(x + 1), for the correct value of x.

• x = -2

• x = -3

• x = -1

• x = 0

Identify the equations that would result in NO SOLUTION. Select ALL that apply.

• 2x + 3 = 3 + 2x

• 5x + 7 = 12

• -6 + x = -3 + x

• 2x + 3 = -4x + 3

• -4x + 7 + 4x = 3