2-Step Equations
Simplify Expressions
Geometry
Polynomials & FOIL
Word Problems
100
Solve for X...
1/3X^3 + 3 = 30 - 2/3X^3
What is...
1/3X^3 + 3 = 30 - 2/3X^3
X^3 = 27
X = 3
100
Using PEMDAS, solve...
2 * 3 + 4 + (3*2^2)/6
What is...
2 * 3 + 4 + (3*2^2)/6 = 6 + 4 + 2 = 12
100
The Surface Area of a Cube with a side of 6 inches is...______?
Show Equation and solution.
What is... 216 inches3
a^2 + a^2 + a^2 + a^2 + a^2 + a^2 = SA
6a^2 = 6(6)^2 = 216 = SA
100
FOIL the product of two binomials....
(x - 3)(x + 2)
What is...
x^2 - x - 6
100
The sum of three(3) consecutive ODD integers is 69.
Show the equation and identify the three integers.
What is...
x+(x+2)+(x+4) = 69
3x+6 = 69 therefore 3x = 63 and x = 21
Proving: 21+23+25 = 69
200
6 = a/4 + 2
6 = a/4 + 2
4 =a/4
16 = a
200
Simplify the following...
b − 3 + 6 − 2b
b − 3 + 6 − 2b
-b + 3
or... -1(b - 3)
200
You wish to make a Kite out of a piece of material as below. Calculate: a) The (A)rea of the Kite and b) How much material will be left over ?
(A)rea =
(D2 * d1)/2
= (2*4)/2 = 4ft2
(L)eft over Material = (A)rea - AKite
= (2*4) - 4 = 4 ft2
200
FACTOR the following trinomial...
x^2 - 8x + 16
What is....
(x - 4)^2 = (x - 4)(x - 4)
200
Solve for X...(Show ALL Work):
What is...
16/24 = X/21
21(16/24) = X
14 = X
300
Solve the following equation...
2(n + 5) = −2
2(n + 5) = −2
2n + 10 = -2
2n = -12
n = -6
300
Simplify the following...
10x + 36 − 38x − 47
10x + 36 − 38x − 47
-28x - 11
or... -1(28x+11)
300
Given the two polygons below, if DA=8' and SP=6' and SR=12', what is the length of DC=_____' ?
8/6 = (DC)/12
DC = (12*8)/6 = 16'
300
FACTOR the following binomials...
x^2 - 7x - 18
What is...
(x - 9)(x + 2)
300
(2x)/3 = 12/(2+1)
What is... 6
400
Solve for x...
(n + 5) / ( −16) = −1
What is...
n + 5 = 16
n = 11
400
Simplify the following...
3 − 8(7 − 5n)
3 − 8(7 − 5n)
3 - 56 + 40n
40n - 53
400
You are given directions to a friends house...go 2-miles (East) from Bayshore HS on SR-70, then turn (South) onto USHwy-301 and go 6-miles to arrive at your destination. But, looking at the Google Map, you see that traveling South East on Tamiami Trail, you can get their in less time. How far did you drive on Tamiami Trail?
Pythagorean Theorem = C2 = A2 + B2
C2 = (2)2 + (6)2 = 4 + 36 = 40
Therefore,
C = sqrt(40) = 6.3 (Miles)
400
FACTOR the following...
4x^2 - 25
What is...
(2x + 5)(2x - 5)
400
The sum of tree consecutive integers is 24.
Show the equation and identify the three integers.
24 = x + (x+1) + (x+2)
24 = 3x + 3
21 = 3x therefore x = 7
INTEGERS: 7, 8, 9
500
Solve the following equation...
144 = −12(x + 5)
144 = −12x - 60
12x = -204
x = -17
500
Simplify the following...
−3(10b + 10) + 5(b + 2)
−3(10b + 10) + 5(b + 2)
-30b - 30 + 5b + 10
-25b - 20
or... -1(25b + 20)
500
What is the SUM of the Interior Angles of a Heptagon (seven-sided regular polygon) that has sides measuring 4 inches ?
(N-2)180
= (7-2)180
= 900
500
FACTOR the following trinomial...
6x2 + 9x - 15
What is...
(3x - 3)(2x + 5)
or... 3(x - 1)(2x + 5)
500
Find the (A)rea of the following shape:
HINT: Polynomials(?)
What is....
(A) = (4x + 3)(2x + 2)
= 8x2 +14x + 6
= 2(4x2 + 7x + 3)