Multi-Step Equations
Solve
3h-2(4h-5)=10-5h
10=10 infinite solution
Solve:
6/(y-5)=18/(y+1)
y=8
Solve the inequality:
-2(x-5)<4
x>3
The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.
12, 51
Name the property:
(-7+3)+9=-7+(3+9)
A. Identity B. Communitive C. Associative D. Distributive
C. Associative
Solve
8k-(6k-4)=10
x=3
Solve
|2x+5|=11
X={-8,3}
Solve this inequality:
-8≤ 6x-2≤ 4
Which is not a solution?
A. -1 B. 0 C. 1 D. 2
D. 2
The length of a rectangle is five inches less than twice its width. If the rectangle has a perimeter of 80 inches, find the length and width.
15 in, 25 in
Name that property:
if a=b and b=c, then a=c
A. Associative B. Reflexive C. Symmetric D. Transitive
Solve:
13w-2(4w+1)=w-58
w=-14
Solve:
3|x-4|+1=19
x={-2,10}
Solve the inequality:
-12≤ 2x-4<-4
-4≤ x<0
The sum of two consecutive odd numbers is 72. Find the numbers.
35, 37
Simplify the expression using order of operations:
((7+3^2)*3)/(|-8|-|-2|
8
Solve:
9(m+5)-3(m-2)=8m+31
m=10
Solve for h:
V=pir^2h
h=V/(pir^2)
Give the interval notation:
4x+7(3x-3)≤ 9-5x
(-∞,1]
A larger number is five more than twice a smaller number. The sum is 80. Find the numbers.
25, 55
Evaluate the expression below if x=-7 and y=4
x^2-3xy
133
Solve:
-5(x-3)-2x=46-4(x+1)
x=-9
Solve for a:
w=7a+4b
a=(w-4b)/7
Solve the inequality:
11x-9>13 or -4x-4>8
X>2
x<-3
As part of their government class, Maddie and Ryan had to log volunteer hours in their community. Ryan volunteered of one more than three times the number of hours that Maddie did. Altogether, they volunteered in their community for 45 hours, how many hours did Ryan volunteer?
34 hours
5(x-3)+7(2-x)-4(2x+7)-3x+2=11-8(x-7)+4x-(6-5x)+8-2x
x=-8