F
Solve for x.
-3 + 5a = 4a - 10
x = -7
What's the first step that we would do to solve the following equation? Does this equation have one, none, or infinite solutions?
5x + 4 = 5 (x + 4)
The first step would be to distribute the 5 to the (x + 4).
5x + 4 = 5x + 20
4 = 20
No Solution because 4 does not equal 20
Solve for x.
3x + 8x - 3 = -25
3x + 8x - 3 = -25
11x - 3 = -25
11x = -22
x = -2
Solve for y.
4y - 16 = 40
y = 14
Ms. Torr has 110 bags of Takis. She is going to keep 15 for herself, and divide the rest among 5 of her students. How many bags of Takis would each of her students receive?
Each student would get 19 bags of takis.
Noah is saving money to buy a new game, and he needs to save more than $190.44 in order to have enough. Noah has saved $45.50 so far. If Noah wants to save an equal amount of money each week for 6 weeks, what's the least amount Noah needs to save each week in order to have enough money to buy the game?
Would this graph be open or closed?
Noah needs to save $24.16 each week.
Since it says "more than" the graph would be open.
Solve for x.
x / 2 - 8 = 6
x = 28
Ken spent half of his money. The next day he earned $12. He now has $32. How much money did Ken have before he spent his money?
m / 2 + 12 = 32
m = $40
Ken had $40 before he spent anything.
Solve the following equation showing step-by-step how to solve for x.
–10x – (6 – 2x) = 2(–4x – 2)
–10x – (6 – 2x) = 2(–4x – 2)
-10x - 6 + 2x = -8x - 4
-8x - 6 = -8x - 4
-6 = -4
No Solutions because -6 doesn't equal -4
Ms. Odom made 5 withdrawals of equal amounts from her savings account. The equation below can be used to determine x, the amount in dollars of each withdrawal.
535.15 - 5x = 500
Solve for x.
x = 7.03
What is the solution to the following equation?
-5 (k + 3) = 10
k = -5
Ms. Smith wants to purchase a new gameday shirt that costs $45.00 and several pieces of jewelry, j, that sell for $2.00 each. She can spend no more than $65.00. Which inequality and its solution represents her possible purchase?
2.00j + 45 ≤ 65
j ≤ 10
Does the following equation have one, none, or infinite solutions?
If it has one, what is "x"?
x + 2x + 1 = 5 + 3x
No Solution because we'll get 3x + 1 = 3x + 5. The x's will cross out and 1 does not equal 5.
-5 (x + 2) = - (-5x + 1) - x
x = -1
Melanie saves $20 every month in her savings account. She withdrew $60 one time to go shopping. She now has $280 in her account.
Write and solve an equation to determine how many months she has been saving.
Equation: 20m - 60 = 280
m = 17
She was saving for 17 months.
Does the following equation have one, none, or infinite solutions?
If it has one, what is "v"?
-3 (v + 4) = 2v - 37
One Solution
V = 5
Michelle is a server in a restaurant. On a weekend night, Michelle earned $4 an hour and $65 in tips. She made a total of $93.
Write and solve an equation to determine how many hours she worked.
Equation: 4h + 65 = 93
h = 7
Michelle worked 7 hours.
Ms. Torr buys 9 candles for x dollars each and 9 candle holders for $3.00 each. Ms. Torr spends a total of $39.00 for the candles and candle holders.
What is the cost of one candle, approximately?
One candle cost about $1.33
Does the following equation have one, none, or infinite solutions?
If it has one, what is "x"?
-2 (x + 3) = -2x - 6
Infinite Solutions because the sides equal the same thing.
-2x - 6 = -2x - 6
Solve for x.
6 (1 + 2k) - 6k = -3 (-8k + 4)
k = 1