Multi-step Equations
What value of x will make the following equation true?
5x+1=-64
-13
Simplify the following expression using the Distributive Property.
p2(p+7)
p3+7p2
Simplify the following expression by combining like terms.
6x+9x+13y+6y
15x+19y
Find the missing terms:
G1: 3, 3.8, ___, ___, ___, ___
G1: 3, 3.8, 6.8, 10.6, 17.4, 28
Identify the property that justifies step 1 to step 2:
Line 1: 10(5+9𝑥)
Line 2: 10(9𝑥+5)
Commutative Property of Addition
What value of n will make the following equation true?
9m - 3(m+6) = 2(m+1)
m = 5
Simplify the following expression using the Distributive Property.
4x(x2+3x-2)
4x3+12x2-8x
Simplify the following expression by combining like terms.
6n2-2n+5n2
11n2-2n
Find the missing terms
G2: 6.2, 0.7, ___, ___, ___, ___
G2: 6.2, 0.7, 6.9, 7.6, 14.5, 22.1
Identify the property that justifies line 1 to line 2
Line 1: 𝑛(𝑚+2)
Line 2: 𝑛𝑚+𝑛⋅2
Distributive Property
What value of x will make the following equation true?
14 - (x+5) = 3(x+9) - 10
x = -2
Simplify the following expression using the Distributive Property.
-7x(x-3)
-7x2+21x
Simplify the following expression by combining like terms.
6x5+11x+27x5-36x2+16x2-991
33x5-20x2+11x-991
Find the missing terms:
G5: ___, 1.7, 8.1, ___, ___, ___
G5: 6.4, 1.7, 8.1, 9.8, 17.9, 27.7
Identify the property that justifies Line 2 to Line 3
Line 2: ba+b⋅7
Line 3: ab+7b
Commutative Property of Multiplication
What value of k will make the following equation true?
x(x-4) - 84 = -4(x+5)
x = 8, -8
Simplify the following expression using the Distributive Property.
5x(1+4x)+6x(5x+6)
50x2+41x
Simplify the following expression by combining like terms.
x3+8+4+4x3+12+2x3
7x3+24
Find the missing terms:
G7: ___, ___, ___, ___, 8.2, 12.6
G7: 3.2, 0.6, 3.8, 4.4, 8.2, 12.6
Use the Commutative Property of Addition to rewrite the equation
Line 1: (−3+4𝑥)+8
(4𝑥+(−3))+8
or
8+ (4𝑥+(−3))
What value of y will make the following equation true?
3(y-10)+1 = -2(y-8)
y= 9
Simplify the following expression using the Distributive Property.
-2y(4+3y)+2(8-8y)
-6y2-24y+16
Simplify the following expression by combining like terms.
-7k5+4k2+k8-10k5+15k2+8k8-22k5+78k2
9k8 -39k5 +97k2
Find the missing terms:
G10: ___, .52, ___, ___, 1.58, ___
G10: 0.01, 0.52, 0.53, 1.05, 1.58, 2.63
Solve for x using the Transitive Property.
3x+11=y
y=17x+7
x= 2/7