Unit 1 Check-In

What algebraic property was used to get from Step 1 to Step 2

How many solutions do the following expressions have?

$$7x-5=6x+3+x$$

What is the value of x in the equation?

$$3x + 2 = 2x + 5$$

Solve the inequality: 5x - 2 ≤ 3x + 10

A sales person in a stereo store is given a choice of two different compensation plans. One plan offers a weekly salary of $250 plus a commission of $25 for each stereo sold. The other plan offers no salary but pays $50 commission on each stereo sold. How many stereos must the sales person sell to make the same amount of money under both plans.

Solve the following equation

$$-6\left(k-3\right)=-27+3k$$

Which inequality matches the graph?

How many solutions does the equation have?

$$2(x - 3) = 2x - 6$$

Tom is deciding whether or not he should become a member at a gym to use their basketball courts. The membership cost is $135. Members pay $2 each time to rent out the basketball courts. Non-members can rent the court also, but they have to pay $11 each time. how many times would Tom need to rent the court in order for it be cheaper to be a member than a non member?

Choose the inequality that best describes this scenario