Writing EQ's
Solving EQ's
Inequalities
(writing & solving)
(writing & solving)
Mixed bag
Q1 Exam Questions
100
Write an EQUATION that describes this situation
Desiree made 100 cookies this week. She baked 4 more than three times the total she made last week.
3x + 4 = 100
100
3x + 7 = 28
x = 7
100
Solve:
-3x > 27
x < -9
100
Another name for Jordan is...
Another name for Jessica is...
Joebob
Gertrude
100
Write two inequalities that describe the following number line
x >= -2
x <= -6
200
Shakira went bowling with her friends. She paid $3 to rent shoes and then $4.75 for each game of bowling. If she spent a total of $21, then how many games did Shakira bowl?
4.75x + 3 = 21
200
p - 1 = 5p + 3p - 8
p = 1
200
Solve:
8x - 12 < 3x + 2
x < 14/5
x < 2.8
200
Find the AREA of a circle with a diameter of 12
A = pi * r^2
A= pi*(12/2)^2 = pi*(6)^2 =3.14*36 = 113.04
200
One box of crayons costs $3.49, and one box of markers costs $2.99. A teacher purchased c boxes of crayons and m boxes of markers for his class.
What does the expression 3.49c + 2.99m represent?
Total cost in dollars for the purchase
300
Jennifer’s telephone service costs $30 per month. Long distance calls are extra. Last month, her bill was $63.50, and it included $18.50 in long distance charges
30x + 18.50 = 63.50
300
5n + 34 = -2(1-7n)
n = 4
300
A group of four friends join a charity run to raise money for juvenile diabetes. The group received $120.00 in donations so far. Sponsors can also support the group at a rate of $4.00 per kilometer. Last year the group raised $260.00. This year they want to raise more.
4x + 120 > 260
300
Combine the like terms:
3x + 12y + (-6) - 10x + 2y +3z + 30
-7x + 14y + 3z + 24
300
Solve the equation for N
mn + 7p = 8
n = (8-7p)/m
400
It took Thomas 25 minutes longer to do his math homework than to do his French homework. He spent a total of 2.25 hours on both subjects
x + 5/12 = 2.25
400
14 = -(p - 8) + 16
p = 10
400
WRITE AND SOLVE:
Samson would like to hang out with friends on Saturday and play a game of laser tag. The laser tag game costs $10.00 to rent the gear and $15.00 per hour to play. But, Samson has been saving to purchase a new bicycle, so he has calculated that he must spend less than $55.00 of his hard-earned money. How many hours can Samson play laser tag?
WRITE: 15x + 10 < 55
Solve: x < 3
Meaning: Samson can play for less than 3 hours
400
Does this equation model a proportional relationship?
y = 3x + 2
No, it is not a straight line through the origin, is crosses the y-axis at positive 2, not 0.
400
The cost of an anti-virus software package is $65 for the first year and $10 for each annual renewal. If the independent variable is the number of annual renewals and the dependent variable is the total amount paid, what is the RATE (slope) and CONSTANT (y-intercept) of the graph of the equation representing this situation?
rate is $10 per year
constant is $65
500
A forklift can move 12 palates of boxes per hour. If Jon already moved 20 and Jack already moved 11, and they need to move a total of 150 palates, write an equation that models this situation.
12x + 20 + 11 = 150
12x + 31 = 150
500
Larry works for a tree farmer and needs to plant new trees. He can plant 27 trees per hour. He needs to plant 178 total trees and has already planted 16 trees.
What is the equation and answer that shows the number of hours, x, it will take for Larry to plant the rest of the trees?
EQ: 27x + 16 = 178
Answer: x = 6 hours
500
Meredith needs $399 to buy a tablet computer. She wants to earn enough money babysitting to cover at least two-thirds the cost. If she earns $8 an hour babysitting, write an inequality can be used to solve for b, the number of hours she must babysit?
8b >= 399 * (2/3)
8b >= 266
500
WHAT IS 9 + 10?
TWENTY ONE!
500
If f(x) = 4x - 11
What is the value of f(5)?
9