Modeling Equations
Solving Equations
Writing Equations
Writing Inequalities
Angle Relationships
100
Write the equation for the model in the picture.
-2x+2 = x-1
100
1.5x = 4-6.5x
x = 0.5
100
7 less than 5 times a number is the same as the sum of 2 times a number and 3.
-7+5x = 2x+3
5x-7 = 2x+3
100
5 times a number plus 3 is greater than 9 minus 8 times a number.
Write an inequality.
5x+3 > 9-8x
5x+3 > -8x+9
100
What is the value of x?
115 degrees
200
Solve for the model. x = ?
x = 1
200
3(p-2) = 2.5p+2
p = 16
200
Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase $1,500 per year. Write an equation to find x, the number of years it will take Jerry to earn the same as Victoria.
45,000+2,500x = 54,000+1,500x
200
Keith has $500 in a savings account at the beginning of the summer. He wants to have at more than $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets.
Write an inequlality to represent x, the amount of money in his account.
500-25x > 200
-25x+500 > 200
200 < 500-25x
200
Line MP || line QS. Find the m∠TNP when m∠NRQ = 148°.
32 degrees
300
Write and solve the equation in the picture.
x+10 = 2x+2
x = 8
300
5b+1-2b = 10+2b-12
b = -3
300
The cost for a pound of apples is x dollars. The cost to purchase 7 pounds of apples is the same as the cost to buy 5 pounds of apples with a $9 basket.
Write an equation that would help you find x, the cost for a pound of apples.
7x = 5x+9
300
Helen has $330 in her savings account when Vince opened a savings account with zero dollars. Helen deposited $30 into her account each week for x weeks. Vince deposited $50 into his account each week for x weeks. Write an inequlaity that represents this situation when the amount of money in Helen's account was greater than the amount of money in Vince's account.
30x+330 > 50x
50x < 30x+330
300
What is the measure of the acute angle formed by the intersection of Proposed Light Rail and Medical Center Drive?
31 degrees
400
Write and solve the equation in the picture.
6x-8 = 4x+10
x = 9
400
Solve for x. Picture.
x = -9
400
Valerie and Melanie are both saving money for summer camp. Valerie has $50 and will be able to save $15 each week from her babysitting job. Melanie has $75 and will save $10 each week from her lawn job.
How many weeks will have passed when Valerie and Melanie have the same amount of money?
5 weeks
400
Ethan is comparing the cost of two cell phone plan companies. Plan A charges a fixed charge of $30.50 plus 10 cents per text message. Plan B charges a fixed charge of $36.55 plus 2 cents per text message. Write an inequality that you can use to determine how many text messages you must send in order for Plan B to cost less than Plan A?
30.50+0.10x > 36.55+.02x
36.55+.02x < 30.50+0.10x
400
In the following diagram, line l and m are parallel lines cut by transversal line p.
If m∠1 = (4x+4)° and m∠2 = (x+16)°. What is the m∠1?
20 degrees
500
What value for x makes the model true?
x = 10
500
Both shapes below have the same perimeter. Solve for x.
x = 9
500
Taylor starts with x dollars. If Taylor gives 6 dollars to Joseph, then Joseph will have triple the amount of dollars as Taylor has after the exchange. Let y be the amount of dollars Joseph has after the exchange.
y=
y=3(x-6)
500
Jared has $150 to buy toys and treats for his new dog Rocky. He is going to buy a bag of treats that cost $16 and decides to spend the rest on toys that cost $10 each. Write an inequality that will help Jared find out how many toys can he buy Rocky if he can’t spend no more than $150?
10x+16 < 150
150 > 10x+16
500
What is the angle measurement for angle T?
75 degrees