Expression
This is
3(2a+b-3c)+3b-4a-11c
with all terms combined
2a+6b-20c
Solve the equations.
14-3g=32
g=-6
Solve the equation. Distribute, CLT and then solve by isolating the variable
6(x-1)=12
x= 3
Solve the inequality. 1≥x-9
x < 10
Solve the inequalities. 2y+7>11
y>2
Solve the equation 5(2x - 3) = 21 + x
Use distributive property, Combine like Terms
10x - 15 = 21 + x, Add 15 and Subt x from both sides
9x = 36
x= 4
What is the mathematical word for the 4 bold items in the expression below, these are separated by addition or subtraction signs in an expression or equation.
Example: 4x + 3y - 7x + 1
What is a term?
Distribute and combine like terms to simplify this expression 3(x+6)-5x+7
-2x+25
Solve the equations. HINT: Use SADMEP to isolate the variable to solve the equation
(w/4) - 21=-3
w=72
Solve the equations. Distribute, Combine like terms, then use SADMEP to isolate the variable.
5+2(x-2)=19
5 + 2x -4 = 19
1 + 2x = 19
2x = 18
x=9
Two more than half a number is zero.
x/2 + 2 = 0
or
1/2x + 2 = 0
Solve the inequalities. 11- 4z <-1
11- 4z <-1
-4z < -12 Divide by -4 & Flip Sign
z > 3
Solve the inequality 12 - (3x + 1) < 53
Graph result with open or closed circle showing direction to - infinity or + infinity.
12 - 3x - 1 < 53 , -3x + 11 < 53
-3x < 42, Divide by -3, FLIP
x > -14, Teacher will check graph
Open Circle, moves right to + infinity
It's the number that multiplies a variable, always found in front of the variable.
What is a coefficient?
These are the coefficients in the expression
4b+8c-11d
4, 8, -11
Distribute
-4(6x -14)
-24x + 56
Solve the equations. 5(3n-6)=-30
n= 0
write the equation and solve for x: The sum of twice a number and 5 is at most 27
2n + 5 < 27 Best to rewrite as
2n < 22
n < 11
Solve the inequalities. 3+(b/3)<7
3+(b/3)<7
(b/3)< 4 Multiply both sides by 3
b<12
Factor - take out a common factor of 15 & 45.
HINT Backwards distribution.
(15x + 45)
5(3x+9) Accept
solution with GCF 15(x + 3)
When dividing or multiplying an inequality by a negative number you must...
What is flip (reverse) the sign?
This is 2x+x-8+5y+17+x-10y with all terms combined.
4x-5y+9
Solve the equations. Combine like terms and solve for r
r + 15 = −2 −7
r= -24
Solve the equations. 42=18t+4(t+5)
t=1
1. Solve the inequality 12 - 7y > 33
2. Draw the interger number line or use the x axis on the white board, to show the correct inequality solution for y.
-7y > 21 Flip sign when you divid by -7
y < -3
Open circle on -3, y moves left to infinity negative
Solve the inequalities. x/-3 - 8≥-3
x/-3 - 8≥-3 Start by +8 to both sides
x/-3 ≥ 5 Multiply both sides by -3, Flip sign
x ≤ -15
Combine like terms:
5x - 3x + 4 +10x + 7 - y
12x - y +11
The branch of mathematics that deals with symbols to represent unknow quantities in formulas and equations.
What is Algebra?
Combine like terms:
3x2+3x + 7xy - 4x -5y +3xy +7y
3x2+10xy -x + 2y
DAILY DOUBLE!!!! Write the verbal sentence as an equation and solve.
Five minus the product of 2 and a number is 7.
5 - 2x=7
x=-1
What is the solution of the equation: Hint distribute, combine like terms & then isolate the variable.
-3(2x-1)=-21
-6x +3 = -21
-6x = -24
x=4
translate the inequality:
negative three times a number increased by seven is less than -11.
-3 (n + 7) < -11
What is the solution of the inequality (z/-4) + 3 < 15?
(z/-4) + 3 < 15
(z/-4) < 12 Multiply both sides by -4, Flip Sign
z > -48
Write this inequality:
A number decreased by 5 is at most 33.
x - 5 < 33
What is the SYMBOL used to change an expression into an equation.
What is an equal sign?