1. Identify Adam’s 2 errors, then solve the equation correctly.
-3(2x – 7) = 4
-6x – 7 = 4
-6x = 11
x = 66
Adam did
not multiply
-3 * -7
HW check
today!
Adam multiplied
by 6 instead
of dividing
by -6
Correct:
-6x + 21 = 4
-6x = -17
x = 25/6

2. Mrs. Spanier Pre-Algebra
Equation Situations
Mrs. Spanier
Pre-Algebra

3. Think about… What are we trying to find? Assign a variable.
What does the variable represent?
Create an equation.
Solve the equation.
Check your answer.**

4. Solve.
Steve belongs to a movie club and pays an annual fee of $39.95, then rents DVDs for 99 cents each. In one year, Steve spent $55.79.
Write an equation representing the situation.
Find how many DVDs he rented.

5. Solve.
In 2003, the population of a city was about 12.6 million, which was 1 million more than 4 times the population in 1950.
Write an equation representing the situation.
Find the population in 1950.

6. Solve.
Kate is saving for an SAT review course that costs $350. So far, she has saved $180, and she adds $17 to her savings each week.
Write an equation representing the situation.
How many more weeks must she save to be able to afford the course?

7. Solve.
Valerie pays $32 a month to Verizon, plus 75 cents for every minute over her plan. She received a bill for $47 last month.
Write an equation representing the situation.
Find how many minutes she used over her plan.

8. Solve.
The length of a rectangular map is 15 inches and the perimeter is 50 inches. Find the width of the map.

9. Solve.
Maddie’s brother is three years younger than twice her age. The sum of their ages is 24.
Write an equation representing the situation.
How old is Maggie?

10. Solve.
Two angles have a sum of 128°. Angle A is three times the size of angle B.
Write an equation representing the situation.
Find the measure of each angle. A B

11. Solve.
In a given amount of time, Jamie drove twice as far as Rhonda. If they drove 90 miles altogether, find the number of miles driven by each.

12. Write in detail how to solve for x:
6x – (3x + 8) = 16
6x – 3x – 8 = 16
3x – 8 = 16
3x = 24
x = 8 1