Real Numbers and Algebraic Terms
When you add two rational numbers together, the answer will be _______
Rational
Use the commutative property to rewrite the following expression so that the like terms are next to each other.
4+5x+6+2x+8x+3
4+6+3+5x+2x+8x or 5x+2x+8x+4+6+3
Solve this equation
x/4=5
x=20
What is the solution to this equation.
10-4x=-9x
x= -2
Rewrite the literal equation for y
x=yz
y=x/z
What is the constant in this expression:
2x-3y-6
-6
Use the distributive property to rewrite this expression without parentheses.
-2(4x-5)
-8x+10
Solve this equation
2x+3=9
x=3
Solve the absolute value equation.
|x-5|=3
x=8 and x=2
Solve the equation
x/4=8/2
x=16
State whether the sum of these two numbers is rational or irrational. Explain why.
sqrt16 + sqrt8
The sum is irrational since
sqrt16 = 4 , sqrt8=irrational, Rational+Irrational=Irrational
Simplify the following expression
3(4x-2)+7
12x+1
Solve the equation
2(x+2)=14
x=5
What is the solution to this equation
4(x+3)=12+4x
Infinitely Many Solutions
Solve the equation
3/x=4/11
x=8.25
Create an expression that consists of three terms, a constant of 5, and a coefficient of -2
Example: -2x+3y+5
Simplify the following expression
6-(2x+4)+x
-x+2
Solve this equation
4+x/3+1=2
x= -9
What is the solution to this equation
1/2(8-6x)=8-3x
No solution
A picture has a length of 3.5 inches and a width of 1.7 inches. Your friend estimates the area of the picture to 5 inches squared. Did your friend accurately estimate the area of the picture? Why or why not. What would you estimate the picture to be? [Area=length x width]
No, 5 inches squared would be too small. You want to round up to 6 inches squared since the actual measurement is 5.95 inches squared.
State whether the product of these numbers is rational or irrational. Explain why.
sqrt25 and sqrt144
Rational since
sqrt25=5, sqrt144=12, 5times12=60
Simplify the following expression
3(x+1)-(-4x+3)
7x
Solve this equation
-2(3x+1)+4(-x+1)=22
x= -2
Solve the absolute value equation
2|2x-4|-6=10
x=6 and x=-2
Rewrite the literal equation for x
2/y =1/y + x/(a-b)
x=(a-b)/y