Unit 1
Unit 2
Unit 4
Challenge Problems
Random
100
Find the Greatest Common Factor (GCF) for 12 and 36 and the Least Common Multiple (LCM) for 12 and 36
GCF is 12, LCM is 36
100
The temperature was 13℉ below zero last night. In the morning it was 5℉ above zero in the morning. Write an inequality statement to compare the morning and night temperatures.
-13<5
100
7. Kelly’s birthday party will be at a amusement park. The cost is $200 for the party, plus $2.50 per participant for non-slip socks. Write an algebraic expression to represent the total cost of the birthday party.
200 + 2.50x
Any variable can work
100
The length of a highway is more than 27 miles. Write an inequality to represent the word problem.
h>27
100
Addition is before Subtraction in the Order of Operations
False
200
4.05 + 2.365 + 70.7
77.115
200
What is the opposite of -(-(-(-(-(-(-(-(-(40)
40
200
7. A family went on a trip. Their car could hold a total of 35 gallons of fuel. After the trip, there was 4 gallons of fuel left. Write and solve an equation to find f, the amount of fuel used during a road trip.
Equation: __________________________
f = _______________
Equation: 4+f=35
f=31
200
A fair charges $35 to enter and $0.25 per ticket. Julie paid a total of $45. Which expression represents the total cos of the party.
A. $35+$0.25=$45
B. $35-$0.25t=$45
C. $35+$0.25t=$45
C
200
46 - 244
3852
300
70.7 - 4.05 - 2.365
64.285
300
Write the value for each rational number listed below:
A credit of 40 points = _____________
- (10) = _____________
The diver dove 20 below sea level = _____________
l -15 l = _____________
The opposite of 70 = _____________
The mountain was 150 feet above sea level = _____________
l 45 l = _____________
- ( -35)= _____________
1. 40
2. -10
3. -20
4. 15
5. -70
6. 150 feet
7. 45
9. 35
300
Which value makes this equation true, if any?
A 6
B 5
C 4
D 3
C
300
Insert Parentheses to make the equation true.
72 ➗ 5 + 4 x 3 = 24
72 ➗ (5 + 4) x 3 = 24
300
What is absolute value.
the distance of a number from zero.
400
24.78 x 1.3
32.214
400
. Katie had a balance of $35.00. Find her balance after the following:
Balance
1. She bought a movie ticket for $12.50
2. She was paid $42.75 for babysitting.
3. She then went shopping and bought a sweater for $29.00
4. It was her birthday! She received $25.00 from her grandparents.
1. $22.50
2. $65.25
3. $36.25
4. $61.25
400
Sally bought a sweater for $45.00 in California which has a sales tax of 8%. Using the expression
c + 0.08c, what is the total cost Sally spent?
$48.6
400
5 + m + 1< 10; m=2, 6, 9
m=2
400
What is the electric charge of 4957 protons and 62937 electrons
negative
500
182640 ➗ 120
1522
500
Write a rational number to represent a debit of 350 points? _____________________________
What is the opposite rational number of the answer to problem #1?_______________________
3. What is the absolute value of the answer to problem #1? _______________________________
1. -350
2. 350
3. 350
500
Define the terms of the expressions: 4c + 2b + 150 + k
Terms:______________________________
Variables:___________________________
Coefficients: _________________________
Constants: __________________________
Terms: 4c, 2b, 150, k
Variables: c, b, k
Coefficients: 1, 2, 4
Constants: 150
500
Which value(s) make the inequality true
x +2 /3 > 11/3; x= 2/3, 1/2, 3/4
x=3/4
500
(4-[3x]) + (4y) - 27 + (2z) if x = 4, y=7, z=21
35