Define a Variable, Set Up Equation and Solve

A symbol or letter used to represent one or more numbers.

• Integers

• 5-D Process

• Variable

• Proportion

Define the variables, set up a system of equations and solve using the substitution method.

• 4 cm by 13 cm

• 6 cm by 11 cm

• 9 cm by 5 cm

• 8 cm by 7 cm

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

• y = 9.65 + x

  y = 8.40 + x

• y = 9.65x + 43

  y = 8.40x + 58

• y = 9.65x

  y = 8.40x

• y = 9.65x - 43

  y = 8.40x - 58

The first step in solving using the substitution method is __________.

• get x by itself

• get y by itself

• get either variable by itself

• add the equations together

Solve for y -​4y - 7x = -24 ​ (a)  

y = -6x + 5
-2x + y = 5

• (-3, -6)

• (-6, 3)

• (0, 5)

• (-3, 5)

Translate and solve the following equation: Twenty-five decreased by one fifth of a number is 18. Type your answer ONLY like x=1 NO SPACES!

Together, a necklace and a bracelet cost $192. Find the price of each if the necklace costs 3 times as much as the bracelet. Define your variables and set up and solve an equation. Type your answer in like 10,20 NO SPACES, NO DOLLAR SIGNS

The first of two films lasted 3 minutes less than twice as long as the second. Together the two films lasted 132 minutes. How long was EACH film? Define your variables and set up and solve an equation. Write your answer like this 10,20 NO SPACES

Alex paid a gym membership fee of $50, plus $20 per month. Alex has paid a total of $290 to the gym. Which equation matches this situation?

• 50 + 20m = 290

• 20 + 50m = 290

• 50 + 20 = m

• 50m - 20 = 290