Chapter 1.1-1.4 Review

Multi-step Equations

100

What value of x will make the following equation true?

5x+1=-64

-13

200

What value of n will make the following equation true?

9m - 3(m+6) = 2(m+1)

m = 5

300

What value of x will make the following equation true?

14 - (x+5) = 3(x+9) - 10

x = -2

400

What value of k will make the following equation true?

x(x-4) - 84 = -4(x+5)

x = 8, -8

500

What value of y will make the following equation true?

3(y-10)+1 = -2(y-8)

y= 9

Simplify: Distributive Property

100

Simplify the following expression using the Distributive Property.

p²(p+7)

p³+7p²                         

200

Simplify the following expression using the Distributive Property.

4x(x²+3x-2)

4x³+12x²-8x

300

Simplify the following expression using the Distributive Property.

-7x(x-3)

-7x²+21x

400

Simplify the following expression using the Distributive Property.

5x(1+4x)+6x(5x+6)

50x²+41x

500

Simplify the following expression using the Distributive Property.

-2y(4+3y)+2(8-8y)

-6y²-24y+16

Simplify: Combining Like Terms

100

Simplify the following expression by combining like terms.  

6x+9x+13y+6y

15x+19y

200

Simplify the following expression by combining like terms.

6n²-2n+5n²

11n²-2n

300

Simplify the following expression by combining like terms.

6x⁵+11x+27x⁵-36x²+16x²-991

33x⁵-20x²+11x-991

400

Simplify the following expression by combining like terms.

x³+8+4+4x³+12+2x³

7x³+24

500

Simplify the following expression by combining like terms.

-7k⁵+4k²+k⁸-10k⁵+15k²+8k⁸-22k⁵+78k²

9k⁸ -39k⁵ +97k²

Fibonacci Patterns

100

Find the missing terms:

G1: 3, 3.8, ___, ___, ___, ___

G1: 3, 3.8, 6.8, 10.6, 17.4, 28

200

Find the missing terms

G2: 6.2, 0.7, ___, ___, ___, ___

G2: 6.2, 0.7, 6.9, 7.6, 14.5, 22.1

300

Find the missing terms:

G5: ___, 1.7, 8.1, ___, ___, ___

G5: 6.4, 1.7, 8.1, 9.8, 17.9, 27.7

400

Find the missing terms:

G7: ___, ___, ___, ___, 8.2, 12.6

G7: 3.2, 0.6, 3.8, 4.4, 8.2, 12.6

500

Find the missing terms:

G10: ___, .52, ___, ___, 1.58, ___

G10: 0.01, 0.52, 0.53, 1.05, 1.58, 2.63

Name that Property

100

Identify the property that justifies step 1 to step 2:

Line 1: 10(5+9𝑥)

Line 2: 10(9𝑥+5)

Commutative Property of Addition

200

Identify the property that justifies line 1 to line 2

Line 1:   𝑛(𝑚+2)

Line 2: 𝑛𝑚+𝑛⋅2

Distributive Property

300

Identify the property that justifies Line 2 to Line 3

Line 2: ba+b⋅7

Line 3: ab+7b

Commutative Property of Multiplication

400

Use the Commutative Property of Addition to rewrite the equation

Line 1:  (−3+4𝑥)+8

(4𝑥+(−3))+8

or

8+ (4𝑥+(−3))

500

Solve for x using the Transitive Property.

3x+11=y

y=17x+7

x= 2/7