Solving for x
Exponents
Order of Operations
Adding Integers
Distributive Property
100
4x = 16
4
To solve:
4x is needing to be separated by division and what you do to one side of the = sign, you do to the other side.
100
When you see the following expression, what are the terms for the whole number and the superscript number? What is the answer?
24
Whole number = base of 2
superscript number = power or exponent of 4
Answer: 16
100
Simplify the following expression:
62
To Solve: 1st: 66/3=22 2nd: 10x4=40 3rd: 22+40=62
100
-4 + -5 + -165
-174
To Solve: Same signs add and keep, different signs subtract keeping the sign of the bigger number. Add all the numbers and keep the negative sign.
100
Solve: 8(4+2) = ?
48
To Solve: Distribution
200
x2 = 64
x= 8 or x= -8
To Solve:
X2 is viewed as X*X=X2
If x2= 64, the square root of 64=8 and can be 8*8=64 or -8*-8=64
200
Rewrite 94 in expanded form with the answer.
9 x 9 x 9 x 9=6561
200
Simplify the following expression:
5
To Solve: Know PEMDAS
1st: 3x3=9 2nd: 9/9=1 3rd: 1+4=5
200
14 + -12 + 12 - 10 + 9 + 3 + 3(0)
16
To Solve: Remember your integer rules; remember OOO rules; lastly what is done in distribution.
200
Simplify: 5(x-3)
5x-15
To Solve: Distribution
300
2(x+4) = 10
1
To Solve: Distribution property is used.
1st: 2*x=2x and 2*4=8. 2x+8=10 2nd: subtract 8 from both sides (10-8=2) 3rd: divide both sides by 2 and x=1
300
How can you rewrite the following in exponential form?
7 x 7 x 7 x 7 x 7
What is the answer for these numbers?
75= 16807
300
3 + 42 * (3 + 2)
83
To Solve: 1st:P- 3+2=5 2nd:E- 4x4=16 3rd:M- 16x5=80 4th: 3+80=83
300
-10 + 15 - 92
76
To Solve: Follow PEMDAS and integer rules. Solve your power as integer (negative multiplied by a negative) first, then beginning at the left, follow the operations of +/- using integers.
300
Simplify: 7+9(2x-3)
18x-20
To Solve: Distribute, then combine like terms.
400
4(x-3) = 5(x+2)
-22
To Solve: Distribute both sides of the = sign. Then isolate the variable and combine like terms, solving for x.
1st: 4*x=4x and 4*3=-12 2nd: 5*x=5x and 5*2=10 4x-12=5x+10 3rd: add 12 and subtract 5x from both sides (do one at a time unless skilled) 4x-5x=10+12 or -1x=22 or x=-22 (you divide both sides by -1.
400
What is the value of:
84
4096
8 x 8 x 8 x 8 = 4096
400
45
To Solve: 1st: P- 11-7=4 2nd: E- 5x5=25 3rd: D and M (in order)- 25/5=5 and 5x4=20 4th: A- 20+25=45
400
-2 + 2(-3 + 5)
-3
To Solve: follow PEMDAS and integer rules. 1st: distribute 2(-3+5) to get -6+10. 2nd: following integer rules, begin at the left and +/- to the right.
400
Simplify: -3(-x-10)
3x+30
To Solve: follow your integer rules
500
x(x+2)=8
x= 2 x= -4
To Solve:
1st: Distribute- x*x and x*2 = x2+2x=8 2nd: Move the 8 to the inside via subtraction, getting x2+2x-8. 3rd: Factor out the problem to get (x-2) (x+4). 4th: Add 0 to the problem to work out solving for both x's: (x-2)=0; (x+4)=0 5th: x=2 and x=-4
500
What is the value of:
23 + 32 - 42
1
(2 x 2 x 2) + (3 x 3) - (4 x 4)
8 + 9 - 16 = 1
500
12
To Solve by steps:
1st:P and E- 5x5=25, 4x4=16, so 25-16 = 9 2nd: E- 3x3x3=27 3rd: 27+9 = 36 4th: D- 36/3=12
500
23 + 32 - 42 +13 - 32
-7
To Solve: recall PEMDAS and integer rules. 1st: solve all the power numbers: 23= 8; 32=9; 42=16; 13=1; 32=9 2nd: Substitute your answers back into the problem with operations. Follow the signs.
500
Simplify: -4y(2x + 28)
-8xy+112y
To Solve: Distribute