Integers
Two integers are multiplied together, then divided by a third integer. The result is negative. Which statement below cannot be true?
a- All three integers are negative.
b- All three integers are positive.
c- Only one of the integers is negative.
d- The divisor is negative.
B - All three integers are positive.
Extra 100 points: Why can't this choice be true?
Simplify :
−2+ (−1/2)
-2.5
or
-2 and 1/2
Evaluate the following expression for t = -0.5
4 + 3t
2.5
Extra 25 points: What is the term that defines the process of putting in -0.5 for t?
Solve for x
0.5x + 78.2 = 287
x= 417. 6
Simplify:
3x + 9 < 39
x < 10
Quantity P and Quantity Q are the same distance from zero, but on opposite sides of a number line.
What is the value of P + Q?
zero
What is the decimal equivalent to 4 and 3/8?
Round your answer to the nearest thousandth.
4.375
x/3 + 2
In the expression above, the coefficient is.. ?
1/3
7(4 - t) = -84
t = 16
Simplify:
-b - 9 > 5
b < -14
Extra 100 points: Why did the inequality sign change?
Which of the following expressions correctly calculates the distance between -156 and -78 on the number line?
a) 78 - 156
b) 156 - (-78)
c) |(-156) - (-78)|
d) |(-156)| + |(-78)|
C) |(-156) - (-78)|
Which of the following calculations will produce a value greater than 24?
a - 24 x 1/5
b - 24 divided by 1.5
c - 24 divided by 0.5
d - 24 x (-5)
c - 24 divided by 0.5
Extra 50 points : What is the answer to this expression?
The number of pages Soraya has filled in her notebook is given by the expression 8 + 24h, where h is the number of hours she spends writing. If she spends 10 hours writing, how many pages will be filled?
248 pages
7k - 8 + 2(k + 12) = 52
k = 4
Nehemiah is planning a birthday party at Chuck E. Cheese for his little brother. His total budget for the party is $500. There's a fee of $302 to hold his party there and a $15 fee for each guest.
What is the maximum amount of guests Nehemiah can invite?
13 guests
Extra 50 points: What inequality sign is represented by maximum?
Madisyn spent too much money on Pokemon, and her bank account balance was -35 dollars. She continued to spend money, and by the end of two weeks, the amount of her debt had tripled.
What is the amount in her bank account after the two weeks pass?
-105 dollars .... :(
What is the value of
-2.6 / (-0.2 + 1/10) ?
26
Which of the following expressions is equivalent to
(7x - 5) - (3x + 2)?
a) 2x - 5x
b) 4x - 3
c) 4x - 7
d) 10x - 7
c) 4x - 7
4(y - 2) + y = -13
y = -1
Simplify:
-5x + 3 > -22
x < 5
Scientists determined that Antarctica’s average winter temperature was -34.44 degrees Celsius. The difference between this temperature and Antarctica’s highest recorded temperature was 49.44 degrees Celsius.What was Antarctica’s highest recorded temperature?
15 degree celsius
At the beginning of the month, Mr. Dawson's bank balance was $193. He then took $81 out of his account to pay bills. At the end of the month, Mr. Dawson put 3/4 of the remaining money in a savings fund.
How much money did he put in the savings fund?
$84.00
Which of the following scenarios would match the expression -5.7 x?
a) Rajab earns $5.70 every hour that he watches his siblings. How much has he earned after x hours?
b) Sarah had x dollars in her bank account, then she withdrew (took out) $5.70 to buy lunch. How much does Kalisha have left in her bank account now?
c) Uriel hiked down a mountain. His elevation decreased by 5.7 meters every hour. What was his change in elevation after x hours?
d) Darren built a snowman that was 5.7 feet tall. Then the sun came out and the snowman melted until it was x feet tall. How much height did the snowman lose when it melted?
c) Uriel hiked down a mountain. His elevation decreased by 5.7 meters every hour. What was his change in elevation after x hours?
Cris is playing a video game.
He receives 20 points at the beginning of each level.
He loses 3.5 points for each mistake he makes. After completing 5 levels, he has 55 points left.
Which equation can Jose use to determine x, the number of mistakes he made during those 5 levels?
a) 55 = 100 - 3.5x
b) 55 = 3.5x - 100
c) 55 = 20 - 3.5x
d) 55 = 3.5x - 20
a) 55 = 100 - 3.5x
Max's employer has at most $18.00 to spend on tape measures for his crew. How many can he buy with that amount if each tape measure costs $4.50?
Answer should be an inequality statement.
x ≤ 4