Worksheets24-25 Unit 2 Equations and Inequalities
Total questions: 40
Worksheet time: 10hrs 0mins
Which equation could be used to solve the problem below? If three times a number is increased by 24, the result is 4 less than seven times the number.
27x = 7x - 4
3x + 24 = 4 - 7x
3(x + 24) = 7x - 4
3x + 24 = 7x - 4
Which of the following equations could be used to solve this problem? The product of two consecutive integers is 132.
n + (n + 2) = 132
n + (n + 1) = 132
n(n + 2) = 132
n(n + 1) = 132
Follow the steps in solving this linear equation:
3(x - 7) = 44
3x - 7 = 44
3x = 51
x = 17
Which statement best describes the error in this work?
A. Improper use of the Multiplicative Inverse Property.
B. Improper use of the Distributive Property.
C. Improper use of the Associative Property of Addition.
D. Improper use of the Additive Inverse Property.
Which of the following is equivalent to the inequality 4x + 1 > 9?
x > 2
x < 2
x = 2
x ≥ 2
Solve for x: 5x - 2(x + 1) = 10. What is the value of x?
1
2
3
4
Solve for x: 4x−3=10x . What is the value of x?
5
6
7
8
Solve the inequality 2x - 3 ≥ -4x + 2 and fill in the blank: The solution in interval notation is ____.
(-∞, 5/6]
[5/6, ∞)
(-∞, -5/6]
[-5/6, ∞)
Six flags over GA have rides with signs that say. "You have to be 54 inches or taller to ride this ride"
You need to earn at least $75. You earn $6.00 for each hour you work. Solve an inequality that represents the number of hours h that you need to work.
h ≤ 12.5
h > 12.5
h ≥ 12.5
h < 12.5
pV = nRT
Solve for R
R=nTpV
R=np+TV
R=pV−nT
R=T(pV−n)
Identify the property:
6 + (21 + 3) = (6 + 21) + 3
Commutative Property
Distributive Property
Inverse Property
Associative Property
6 + 3 and 3 + 6
If 3x + 4x - 5 = 10, then 7x - 5 = 10
Addition Property of Equality
Combine Like Terms or Simplify
Subtraction Property of Equality
Transitive Property of Equality
__________________________
7n = 21 then n = 3
Match the correct reason for each statement.
6 > x
Which graph matches the inequality
k < 3?
A
B
C
D
When writing a solution in interval notation, what brackets do i use for:
> or <
[ ]
( )
When writing in interval notation, what kind of brackets do I use for:
or ≤ or ≥
[ ]
( )
Write the following solution in interval notation:
x ≥ -3
[ -3, ∞ )
( -3, ∞ )
( -∞ , -3 )
( -∞ , -3]
Write the following solution in interval notation:
z < 20
[ -∞ , 20 )
( 20,∞)
(-∞ , 20)
( -∞ , 20]
Given:
x ≤ -10
Is -25 a solution?
Yes, it is a solution.
No, it is not a solution.
Given:
x > 15
Is -25 a solution?
Yes, it is a solution.
No, it is not a solution.
-4x + 14 ≤ 54
Solve the inequality.
x + 5 ≤ 13
[8, ∞)
[18, ∞)
(-∞, 8]
(-∞, 18]
The larger of two numbers is two more than five times the smaller number. If the sum of the two numbers is 80, find both numbers.
WHICH EQUATION WOULD LET YOU FIND THE SMALLER NUMBER?
x+2=80
5x+2=80
x+5x+2=80
Find two consecutive numbers whose sum is 115.
WHICH EQUATION WILL FIND THE FIRST INTEGER?
x+1=115
x+x+1=115
x-1=115
2x-1=115
Find two consecutive EVEN numbers whose sum is 126.
WHICH EQUATION WILL FIND THE FIRST INTEGER?
x+x+2=126
x+2=126
3x+2=126
x+2=126=126
The length of a rectangle is one inch less than five times its width. If the perimeter of the rectangle is 46 inches, find its dimensions. Write your answer as two numbers separated by a comma.
(a)
The length of a rectangle is four inches more than its width. If the perimeter of the rectangle is 20 inches, find its dimensions. Write your answer as two numbers separated by a comma.
(a)
