Questions 1-3
Questions 4-6
Question 7
100
Avelina uses a $70 gift card to buy a game on her phone for $7.99. She also uses the gift card to buy upgrades for her characters in the game. Each upgrade costs $1.49. Which of these inequalities describes the situation, where n is the number of upgrades she can buy?
A. 7.99 + 1.49n<= 70
B. 7.99 + 1.49n>= 70
C. 7.99 - 1.49n<= 70
D. 7.99 - 1.49n>= 70
A!
100
a.) Expand to write an equivalent expression:
-1/2(-12x + 18y)
b.) Factor to write an equivalent expression:
24a - 18
a.) 6x - 9y
b.) 2(12a -9) OR 3(8a - 6) OR 6(4a - 3)
100
A teacher only uses his car to drive to and from work each day, so the car only uses 0.6 gallon of gas each day. The car holds 14 gallons of gas. A warning light comes on when the remaining gas is 1.5 gallons or less.
a.) If 𝑑 represents the number of days of driving, what does 14 − 0.6𝑑 represent?
14 - 0.6d represents the amount of gas in the tank after d days of driving.
200
Which number line shows all the values of p that make the inequality 12p - 4 < -28 true?
B!!
200
Lukas is rewriting the expression 6 - 2x + 5 + 4x with fewer terms. Here is his work:
a.) Lukas's work is incorrect, point out the step where he made the mistake. Explain or show why this expression is not equivalent to 6 - 2x + 5 + 4x.
Lukas did NOT distribute correctly.
OR
Lukas is trying to combine terms that are not alike.
200
A teacher only uses his car to drive to and from work each day, so the car only uses 0.6 gallon of gas each day. The car holds 14 gallons of gas. A warning light comes on when the remaining gas is 1.5 gallons or less. (ROUND TO 2 DECIMAL PLACES)
b.) Write and solve an equation to determine the number of days the teacher can drive the car without the warning light coming on.
14 - 0.6d = 1.5
d = 20.83
300
Select ALL the expressions that are equivalent to
7y + 2 - 2(4y - 1).
A. 7y + 2 + (-8y) - (-2)
B. 7y + 2 -8y -1
C. 7y + (-8y) + 2 + 2
D. -y + 4
E. 3y
A, C, and D!!
300
b.) Write an expression that is equivalent to
6 - 2x + 5 + 4x that has only two terms.
2x + 11 OR 11 + 2x
300
c.) Write and solve an inequality that represents this situation. Explain clearly what the solution to the inequality means in the context of this situation. (ROUND TO 2 DECIMAL PLACES)
14 - 0.6d > 1.5
Solution: d < 20.83
This means that the warning light is off until near the end of the 21st day.
400
At midnight, the temperature in a city was 7 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour.
a. Write an inequality that represents t, the number of hours past midnight,when the temperature was colder than -6 degrees Celsius.
b. On a number line, show all the values of t that make the inequality true.
a.) 7 - 2t < -6 or -2t + 7 < -6
b.) start at 6.5, open circle and arrow going RIGHT.